Answer: true, true, false, true
Step-by-step explanation:
1 True- 2 is a prime number
2- True 2 is a prime number
3 False 2,3,5,7 can be prime numbers as well
4 True 2 is a prime number
An animal reserve is home to 8 meerkats. It costs the reserve $1.50 per day to feed each meerkat. Write an equation with two variables that can be used to determine the total cost of feeding the reserve's meerkats for any number of days.
Answer: Okay, so it's $8 per day to feed all of them. So one way you could answer it could be to say; "It costs $8 per day to feed all of the meerkats,..." then pick a number of days to multiply $8 by.
I hope this helps some!
Giving 50 POINTS. Im really struggling please no guesses or wrong answers. thank you! appreciate it
Look at the picture.
<, > - dotted line
≤, ≥ - solid line
x > a, x ≥ a - to the right of a
x < a, x ≤ a - to the left of a
y > a, y ≥ a - up from a
y < a, y ≤ a - down from a
The circumference of a circle is 94.2 millimeters. What is the circle's diameter?
Use 3.14 for л.
Answer: 30 millimeters
Step-by-step explanation:
Diameter = Circumference / π
Plug in values:
d = 94.2 / 3.14
d = 30
The diameter is 30 millimeters.
Kadoka, Rapid City, Sioux Falls, Alexandria, South Dakota are all connected by Interstate 90.
Sioux Falls is 256 miles from Kadoka and 352 miles from Rapid City Rapid City is 96 miles from Kadoka and 292 miles from Alexandria
a. Draw a diagram to represent the locations of the cities in relation to each other and the distances between each city. Assume that Interstate 90 is straight.
b. Write a paragraph proof to support your conclusion.
We can conclude that Kadoka, Rapid City, Sioux Falls, and Alexandria are all connected by Interstate 90, as shown in the diagram.
What are the attributes of a good conclusion?
The key argument raised throughout the argument's discussion must be summarized in the good conclusion.
a. In below diagram, each city is represented by a point, and the distances between the cities are shown as line segments with the distance in miles labeled above the segment. The distances are labeled in the order in which they appear in the diagram, so for example, the distance between Kadoka and Rapid City is labeled as 96 because that is the distance between the two cities as you move from Kadoka to Rapid City.
b. To support the conclusion that Kadoka, Rapid City, Sioux Falls, and Alexandria are all connected by Interstate 90, we can use the distances given in the problem to show that it is possible to travel from any one city to any other city using only Interstate 90.
First, we note that Kadoka is connected to Rapid City by Interstate 90, because the distance between them is given as 96 miles and no other route is mentioned. Similarly, Rapid City is connected to Alexandria by Interstate 90, because the distance between them is given as 292 miles and no other route is mentioned.
Finally, to show that Alexandria is connected to all the other cities by Interstate 90, we note that the distance between Alexandria and Rapid City is given as 292 miles, and the only way to travel between the two cities is on Interstate 90. Also, since Kadoka is connected to Rapid City by Interstate 90 and Rapid City is connected to Alexandria by Interstate 90, it follows that Kadoka is connected to Alexandria by Interstate 90.
Therefore, we can conclude that Kadoka, Rapid City, Sioux Falls, and Alexandria are all connected by Interstate 90, as shown in the diagram.
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Knowledge Check Question 13 Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 3.5cm:1.4cm
The ratio 3.5cm:1.4cm can be written as the fraction 5/2 in simplest form, with whole numbers in the numerator and denominator.
To write the ratio as a fraction in simplest form, we will follow the steps below:
Step 1: Write the ratio as a fraction. In this case, we have 3.5cm:1.4cm, which can be written as 3.5cm/1.4cm.
Step 2: Simplify the fraction by dividing both the numerator and denominator by the greatest common factor (GCF). In this case, the GCF of 3.5 and 1.4 is 0.7. So we will divide both the numerator and denominator by 0.7 to get:
(3.5cm/0.7) / (1.4cm/0.7) = 5/2
Step 3: Convert the fraction to simplest form with whole numbers in the numerator and denominator. In this case, we can multiply both the numerator and denominator by 10 to get:
(5*10)/(2*10) = 50/20
Step 4: Simplify the fraction by dividing both the numerator and denominator by the GCF. In this case, the GCF of 50 and 20 is 10. So we will divide both the numerator and denominator by 10 to get:
(50/10)/(20/10) = 5/2
Therefore, the ratio 3.5cm:1.4cm can be written as the fraction 5/2 in simplest form, with whole numbers in the numerator and denominator.
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A book sold 42800 copies in its first month of release. Suppose this represents 7.3 of the number of copies sold to date. How many copies have been sold to date?
The number of copies sold in total is 586,301
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, a book sold 42800 copies in its first month of release, this represents 7.3 of the number of copies sold to date, we need to find the number of the copies have been sold to date,
Let the number of copies sold in total be x,
Using the concept of percentage,
7.3 % of x = 42800
7.3 / 100 of x = 42800
x = 100/7.3 (42800)
x = 586,301
Hence, the number of copies sold in total is 586,301
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i need assistance i am slow in the head
Answer:
Step-by-step explanation:
31 degreese
add 59 with 90 you get 149 then you subtract 149 with 180 a
nd then get 31
Alexia took out a 12-year loan for $72,000 to renovate her home. If her monthly payments are $680, what is the interest rate?
Answer:
Finding the total accrued amount is necessary before we can determine the interest rate.
Simply multiplying the monthly payment by the number of months in a 12-year period will give us the accrued amount.
144 months in 12 years.
$680 x Monthly Payment
A = 680 * 144
A = $97920
We can use the following formula now that we know the total accrued sum:
A= 97920
P = 72000
t= 12
Let's replace them with our values now.
The percentage value is then obtained by multiplying the r value by 100.
0.03 x 100 = 3%
The interest rate for Alexia is 3%.
Data was collected on the weight, in ounces, of kittens for the first three months after birth. A line of fit was drawn through the scatter plot and had the equation w = 2.75 + 0.2d, where w is the weight of the kitten in ounces and d is the age of the kitten in days.
What is the w-intercept of the line of fit and its meaning in terms of the scenario?
0.2; a kitten who is just born is predicted to weigh 0.2 ounces
0.2; for each additional day after the kitten is born, its weight is predicted to increase by 0.2 ounces
2.75; a kitten who is just born is predicted to weigh 2.75 ounces
2.75; for each additional day after the kitten is born, its weight is predicted to increase by 2.75 ounces
2.75; a kitten who is just born is predicted to weigh 2.75 ounces.
What is Statistics?
Statistics is a branch of mathematics that involves collecting, analyzing, interpreting, presenting, and organizing data. It enables the identification of trends, patterns, and relationships within the data. The goal of statistics is to make meaningful inferences and predictions based on the data.
It is used in a wide range of fields, including business, economics, social sciences, healthcare, and engineering. The main tools of statistics include probability theory, statistical inference, and statistical modeling.
2.75; a kitten who is just born is predicted to weigh 2.75 ounces.
The w-intercept of the line of fit represents the weight of a kitten at birth, which is the value of w when d equals zero. In this case, the intercept is 2.75, which means that a kitten who is just born is predicted to weigh 2.75 ounces.
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Big ideas 7.5 question
The value of the line segment AB of the trapezoid ABCD will be 25.9 units.
What is a trapezoid?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.
The sum of the parallel sides of the trapezoid is equal to twice the line segment that divides the other two sides in the ratio of 1: 1.
Then the equation is given as,
MN = (AB + CD) / 2
18.7 = (AB + 11.5) / 2
37.4 = AB + 11.5
AB = 25.9 units
The value of the line segment AB of the trapezoid ABCD will be 25.9 units.
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Using remainder theorem, find the value of k if on dividing 2x3+3x2−kx+5 by x−2, leaves a remainder 7
The value of k is 13.
Using the remainder theorem, we can find the value of k by substituting the value of x in the given polynomial equation with the value that makes the divisor equal to zero. In this case, the divisor is x-2, so the value of x that makes it equal to zero is x=2.
Substituting x=2 into the polynomial equation, we get:
2(2)^3 + 3(2)^2 - k(2) + 5 = 7
Simplifying the equation, we get:
16 + 12 - 2k + 5 = 7
33 - 2k = 7
-2k = -26
k = 13
Therefore, the value of k is 13.
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Points A and B have coordinates (-5, 16) and (3,12) respectively.
C is the point that lies of the way along AB. Find the coordinates of C.
A random sample of 100 soft drink consumers tasted an unmarked cup of pepsi and an unmarked cup of coke. Fifty-nine out of the 100 consumers stated that they prefer pepsi over coke.
A majority of the consumers in the sample prefer pepsi over coke.
Based on the given information, a random sample of 100 soft drink consumers tasted an unmarked cup of pepsi and an unmarked cup of coke. Fifty-nine out of the 100 consumers stated that they prefer pepsi over coke.
This means that the majority of the consumers in the sample, or 59%, preferred pepsi over coke. It is important to note that this is only a sample of consumers and may not necessarily reflect the preferences of the entire population of soft drink consumers. However, it does provide some insight into the preferences of a portion of the population.
In conclusion, the results of the taste test indicate that a majority of the consumers in the sample prefer pepsi over coke.
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If X ~ Exp^) with 1 2.0. Then Markov's inequality says that P(X > 1) < a where a is (choose the closest): (A) 1.0 (B) 0.25 (C) 0.5 (D) Can't tell. Not enough info. (E) 0.75
The probability that X is greater than 1 is less than or equal to 0.5, making the correct answer (C) 0.5.
Markov's inequality states that for a non-negative random variable X and a positive number a, the probability that X is greater than a is less than or equal to the expected value of X divided by a. In mathematical terms, this can be written as:
P(X > a) ≤ E(X) / a
In this case, X follows an exponential distribution with a mean of 1/2.0, or 0.5. Therefore, the expected value of X is 0.5. If we plug in the values for X and an into Markov's inequality, we get:
P(X > 1) ≤ 0.5 / 1
P(X > 1) ≤ 0.5
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Using the slope formula, find the slope of the line through the given points.
(2,9) and (4,5)
What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The slope of the line is
OB. The slope of the line is undefined.
(Type an integer or a simplified fraction.)
use the slope formula
5 - 9/4-2 = -4/2 = -2
slope = -2
Rectangle
�
�
�
�
ABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle:
�
(
5
,
1
)
,
A(5,1),A, left parenthesis, 5, comma, 1, right parenthesis, comma
�
(
7
,
1
)
B(7,1)B, left parenthesis, 7, comma, 1, right parenthesis,
�
(
7
,
6
)
C(7,6)C, left parenthesis, 7, comma, 6, right parenthesis, and
�
(
5
,
6
)
D(5,6)D, left parenthesis, 5, comma, 6, right parenthesis.
What is the perimeter of rectangle
�
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�
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ABCDA, B, C, D?
units
The perimeter of this rectangle is equal to 14 units.
How to calculate the perimeter of a rectangle?Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;
P = 2(L + W)
Where:
P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.For the width, we would determine the distance between the vertices (5, 6) and (5, 1)
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(5 - 5)² + (1 - 6)²]
Distance = √[(0² + (-5)²]
Distance = √25
Distance = 5 units.
For the length, we have:
Distance = √[(7 - 5)² + (6 - 6)²]
Distance = √[(2² + 0²]
Distance = √4
Length = 2 units.
Perimeter of this rectangle, P = 2(5 + 2)
Perimeter of this rectangle, P = 14 units.
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Complete Question:
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5,1). B(7,1), C(7,6), and D(5,6). What is the perimeter of rectangle ABCD?
Titanium-44 has a half life of 63 years. How much of a 10g sample will
be left after 50 years?
A 10gm sample of Titanium-44 will have 6.06 grams of mass left after 50 years.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is [tex]y = y_0e^{(kt)}.[/tex]
The formula for exponential decay is [tex]y = y_0e^{(-kt)}.[/tex]
From the information, Titanium-44 has a half-life of 63 years we can model,
[tex]5 = 10.e^{63k}.[/tex]
[tex]0.5 = e^{63k}.[/tex]
[tex]63k = ln0.5.[/tex]
63k = - 0.69.
k = - 0.01.
Therefore, The amount of mass left after 50 years is,
[tex]y_{50} = 10.e^{-0.01\times50}.[/tex]
[tex]y_{50} = 6.06[/tex] grams.
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I’m not sure how to do question 5.
Question Number 5.
The first and second numbers in the exponential sequence are 10 and 5, respectively.
How do we solve this?In the exponential sequence given by a, b, c, d, ..., where a and b are the first two numbers. We know that the third number is given by b * c/a, and the fourth number is given by c * d/b.
the third number = 100
the fourth number = 500,
So b * c/a = 100
c * d/b = 500
rearranging the first equation :
c = 100a/b
Substituting this into the second equation, we then have
d = 500b/a
The sequence is then written as a, b, 100a/b, 500b/a, ...
We then proceed to find a and b,
a, b, 100a/b, 500b/a, ...
a, b, 100a/b, 500b/a, ... = a, b, 100a/b, 500b/a, ...
100a/b = 100
500b/a = 500
Solving for a and b, we have:
a = 10
b = 5
In conclusion, the first and second numbers in the exponential sequence are 10 and 5.
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Order from greatest to least
Answer:
15, 3, -1, -12
Step-by-step explanation:
15, 3, -1, -12
Answer:
First answer (15, 3, -1, -12)
Step-by-step explanation:
ez
Find the exact value by using a sum or difference identity.
sin (185° -65°) please please help me :/
I'm not 100%
sure
:))))))))))))))))))))))))
3) a) Prove that the following functions are harmonic and find for each function its harmonic conjugate i 2e* cosy i) x² + 2x - 4² b) Prove: Ifuis harmonic conjugate of vin a domain v and is harmoni
a)
i) The function is not harmonic.
ii). The function is harmonic.
b) v is also harmonic in D
a) A function is harmonic if it satisfies the Laplace equation:
∂²u/∂x² + ∂²u/∂y² = 0
i) For the function u = x² + 2x - 4², we can take the partial derivatives with respect to x and y:
∂u/∂x = 2x + 2
∂u/∂y = 0
∂²u/∂x² = 2
∂²u/∂y² = 0
Plugging these into the Laplace equation, we get:
2 + 0 = 0
This is not true, so the function is not harmonic.
ii) For the function u = 2e* cos(y), we can take the partial derivatives with respect to x and y:
∂u/∂x = 0
∂u/∂y = -2e* sin(y)
∂²u/∂x² = 0
∂²u/∂y² = -2e* cos(y)
Plugging these into the Laplace equation, we get:
0 + (-2e* cos(y)) = 0
-2e* cos(y) = 0
This is true for all values of y, so the function is harmonic.
The harmonic conjugate of a function u(x,y) is a function v(x,y) such that f(z) = u(x,y) + i*v(x,y) is analytic. To find the harmonic conjugate of u = 2e* cos(y), we can use the Cauchy-Riemann equations:
∂u/∂x = ∂v/∂y
∂u/∂y = -∂v/∂x
Plugging in the partial derivatives of u, we get:
0 = ∂v/∂y
-2e* sin(y) = -∂v/∂x
Integrating both equations with respect to x and y, we get:
v = C₁
v = 2e* cos(y) + C₂
Setting these equal to each other and solving for v, we get:
v = 2e* cos(y) + C
So the harmonic conjugate of u = 2e* cos(y) is v = 2e* cos(y) + C, where C is a constant.
b) If u is the harmonic conjugate of v in a domain D, then f(z) = u(x,y) + i*v(x,y) is analytic in D. This means that f(z) satisfies the Cauchy-Riemann equations:
∂u/∂x = ∂v/∂y
∂u/∂y = -∂v/∂x
If we take the partial derivatives of these equations with respect to x and y, we get:
∂²u/∂x² = ∂²v/∂x∂y
∂²u/∂x∂y = -∂²v/∂x²
∂²u/∂y∂x = -∂²v/∂y²
∂²u/∂y² = ∂²v/∂y∂x
Adding the first and last equations, we get:
∂²u/∂x² + ∂²u/∂y² = ∂²v/∂x∂y + ∂²v/∂y∂x
Since the mixed partial derivatives are equal, this simplifies to:
∂²u/∂x² + ∂²u/∂y² = 0
So u is harmonic in D. Similarly, we can add the second and third equations to get:
∂²v/∂x² + ∂²v/∂y² = 0
So v is also harmonic in D. Therefore, if u is the harmonic conjugate of v in a domain D, then both u and v are harmonic in D.
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29. ΔCDE ~ ΔCBA with ∟CDE ~= ∟B. If CD = 10, DA = 8, and CE = 6, find EB. 30. ΔCDE ~ ΔCBA with ∟CDE ~= ∟B. If CD = 10, CA = 16, and EB = 12, find CE.
The length of CE is 16 units.
Since ΔCDE ~ ΔCBA, we know that their corresponding sides are proportional. This means that CD/CA = DE/BA = CE/AB. We are given that CD = 10, DA = 8, and CE = 6. We can use the Pythagorean theorem to find CA:
CA^2 = CD^2 + DA^2
CA^2 = 10^2 + 8^2
CA^2 = 100 + 64
CA^2 = 164
CA = √164
Now we can use the proportion CD/CA = DE/BA to find EB:
10/√164 = DE/(8 + EB)
10(8 + EB) = DE√164
80 + 10EB = DE√164
10EB = DE√164 - 80
EB = (DE√164 - 80)/10
We can use the Pythagorean theorem to find DE:
DE^2 = CE^2 + CD^2
DE^2 = 6^2 + 10^2
DE^2 = 36 + 100
DE^2 = 136
DE = √136
Now we can plug DE back into the equation for EB:
EB = (√136√164 - 80)/10
EB = (12√164 - 80)/10
EB = 1.2√164 - 8
EB ≈ 4.26
So the length of EB is approximately 4.26 units.
30. Since ΔCDE ~ ΔCBA, we know that their corresponding sides are proportional. This means that CD/CA = DE/BA = CE/AB. We are given that CD = 10, CA = 16, and EB = 12. We can use the proportion CD/CA = DE/BA to find DE:
10/16 = DE/(8 + 12)
10/16 = DE/20
DE = 20(10/16)
DE = 12.5
Now we can use the Pythagorean theorem to find CE:
CE^2 = CD^2 + DE^2
CE^2 = 10^2 + 12.5^2
CE^2 = 100 + 156.25
CE^2 = 256.25
CE = √256.25
CE = 16
So the length of CE is 16 units.
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ins all the integers from -7 through 4 , inclusive. Set Q contains the absolute values of all the numbers in Set P. numbers are in the intersection of sets P and Q ?
The numbers in the intersection of sets P and Q are 0, 1, 2, 3, and 4.
The integers in Set P are {-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}.
The absolute values of these integers are {7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4}, which make up Set Q. The intersection of Set P and Set Q are the integers that are in both sets, which are {0, 1, 2, 3, 4}.
Therefore, the numbers in the intersection of sets P and Q are 0, 1, 2, 3, and 4.
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Can someone solve this ??
I need help ASAP
Answer:
1. 2430 feet
2. 1.8 m/s^2
Step-by-step explanation:
See the attached worksheet.
A time versus speed graph contains a small treasure of mathematical rewards. The area under the graph is equal to the distance travelled. The slope of the line segments represents acceleration.
For total distance: If we break the graph into three sections (2 triangles and a rectangle) we can calculate the areas for each. Each area is the distance travelled for that segment. As shown on the workseet, the total area is 2430 miles, the distance travelled by the train for this question.
The slope of the line in the first 10 seconds is 1.8 meters/sec^2, the acceleration of the train over that period.
#4 Write each in terms of secx
a) tan² x
b) tan x
The secx equivalent of the two expressions are
tan²x = sec²x - 1
tan x =sec x * sin x
What is trigonometric identity?Generally, Equalities that utilize trigonometry functions and are true no matter what the values of the variables that are specified in the equation are what are referred to as trigonometric identities. There are many different trigonometric identities that may be found using the length of a triangle's side as well as the angle of the triangle.
a) Using the identity:
tan²x + 1 = sec²x
We can rearrange it to get:
tan²x = sec²x - 1
Therefore, in terms of secx:
tan²x = sec²x - 1
b) Using the identity:
tan x = sin x / cos x
We can rewrite it in terms of sec x as follows:
tan x = sin x / cos x
= (1/cos x) * sin x
= sec x * sin x
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Pippin has a 32-ounce sports drink. She drinks 20 ounces.
Enter the percentage of ounces Pippin has left of her sports drink. HELP PLSS
THIS IS DUE TONIGHT AND IT COUNTS TOWARDS MY GRADE
Pippin has 37.5% of her sports drink left.
What is Percentage?
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
Pippin has 32 - 20 = 12 ounces of sports drink left.
To find the percentage of ounces Pippin has left, you need to divide the number of ounces left by the original amount of sports drink (32) and then multiply by 100 to get the percentage:
(12/32) x 100 = 37.5%
Therefore, Pippin has 37.5% of her sports drink left.
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On Martin's first stroke, his golf ball traveled
4
5
5
4
start fraction, 4, divided by, 5, end fraction of the distance to the hole. On his second stroke, the ball traveled
79
7979 meters and went into the hole. How many kilometers from the hole was Martin when he started?
As per the given distance, Martin was 79 kilometers from the hole when he started.
Let's call the initial distance between Martin and the hole "x". According to the problem statement, on Martin's first stroke, the golf ball traveled 4/5 of this distance. This means that the distance the ball traveled on the first stroke was:
distance traveled on first stroke = (4/5)x
After the first stroke, Martin was left with a distance of:
distance left after first stroke = x - (4/5)x = (1/5)x
On Martin's second stroke, the ball traveled 79 meters and went into the hole. This means that the total distance the ball traveled was:
total distance traveled = distance traveled on first stroke + distance left after first stroke + distance traveled on second stroke
total distance traveled = (4/5)x + (1/5)x + 79
total distance traveled = x + 79
Since the ball went into the hole after the second stroke, the total distance traveled is equal to the initial distance between Martin and the hole:
x + 79 = initial distance between Martin and the hole
Therefore, the initial distance between Martin and the hole was:
x = initial distance between Martin and the hole = (79 km)
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PLEASE HELP THIS IS DUE AT 7 Name the coordinates of two points so that the line segment drawn from one to the other will intersect the y-axis.
The coordinates of the two points that intersect with the y-axis are (2, 3) and (-2, 4)
How to determine the coordinates of the two pointsRepresent the points with P and Q
When a line is drawn from a point to another would intersect with the y-axis, as long as the line is not a vertical lineAlso, the line would intersect with the y-axis if the points are in different quadrants other than vertical quadrantsA vertical line is a line whose endpoints have the same x-coordinate
i.e. (x, y1) and (x, y2)
Using the above as a guide, we have the following:
We can make use of the coordinates (x1, y1) and (x2, y2), where the values of x's and y's are not the same
An instance of these points is (2, 3) and (-2, 4)
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NEED HELP DUR TOMORROW!!!!!!!!!!!!!!!!!!!!
If Q has a y-coordinate of -4, what is the x-coordinate?
Answer:
x-coordinate is 3
Step-by-step explanation:
Q has y-coordinate of -4 => the distance from origin to y-coordinate is 4 units, which is one leg of the right triangle
Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
c^2 = a^2 + b^2
with c = 5, a = 4
5^2 = 4^2 + b^2
b^2 = 25 - 16 = 9
b = √9 = 3
so Q has coordinates (3,-4)
Let a, b, c, and d be constants. Describe the possible solution sets of the inequality ax + b < cx + d.
The requried, possible solution sets of the inequality ax + b < cx + d is x < (d - b)/(a-c).
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
To describe the possible solution sets of the inequality ax + b < cx + d, we need to isolate the variable x on one side of the inequality and simplify.
ax + b < cx + d
ax - cx < d - b
x(a-c) < d - b
x < (d - b)/(a-c)
So the solution set for the inequality is all values of x that are less than the quotient of (d - b) divided by (a-c).
Therefore, the possible solution sets of the inequality ax + b < cx + d is x < (d - b)/(a-c).
Learn more about inequality here:
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