Answers
Answer:
A)
[tex]\sqrt{290}\approx 17.0\text{ units}[/tex]
B)
[tex]\sqrt{53}\approx7.3\text{ units}[/tex]
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Problem 1)
We have the two points (-4, 5) and (7, 18).
Let (-4, 5) be (x₁, y₁) and let (7, 18) be (x₂, y₂).
Substitute:
[tex]d=\sqrt{(7-(-4))^2+(18-5)^2}[/tex]
Evaluate:
[tex]\begin{aligned}d&=\sqrt{(11)^2+(13)^2}\\&=\sqrt{121+169}\\&=\sqrt{290}\approx17.0\end{aligned}[/tex]
Problem 2)
We have the two points (-2, -3) and (-4, 4).
Similarly, we will let (-2, -3) be (x₁, y₁) and (-4, 4) be (x₂, y₂).
Substitute:
[tex]d=\sqrt{(-4-(-2))^2+(4-(-3))^2[/tex]
Evaluate:
[tex]\begin{aligned}d&=\sqrt{(-2)^2+(7)^2}\\&=\sqrt{4+49}\\&=\sqrt{53}\approx7.3\end{aligned}[/tex]
Related Questions
I need help I need to make sure this answer is correct
Answers
Answer:
(B) and (C)
Step-by-step explanation:
B and C
Step-by-step explanation:
[tex]( \frac{3}{8})^{3} [/tex]
[tex]( \frac{3}{8})( \frac{3}{8})( \frac{3}{8}) [/tex]
[tex] \frac{27}{512} [/tex]
hope it's helpful ❤❤❤❤❤❤❤
THANK YOU.
Brett works at a local pet store. When he works 5 hours he earns $25. When he works 10 hours he earns $50. What is the rate per hour?
Select one:
$25 per hour
$50 per hour
$5 per hour
$10 per hour
Answers
Answer:
$5 per hour
Step-by-step explanation:
25/5 = 5
10*5 = 50
A book sold 31,600 copies in its first moth of release. Suppose the represents. 6.6% of the number of copies sold to date. How many copies have been sold to round your answer to the nearest whole number.
Answers
Answer:
Step-by-step explanation: dont know
I NEED HELP IN MATH PLSSS!!
Answers
Answer:
Step-by-step explanation:
Can someone pleaseeee help
Answers
Answer:
Yes
Step-by-step explanation:
I hope this is correct and have a great day
Write the phrase as a numerical or algebraic expression:
3 added to n
Answers
102 = 1.2 x w
what is w?
Answers
Answer:
122.4
Step-by-step explanation:
Just Divide.
Answer:
85
Step-by-step explanation:
1x2 x 85 = 102
1. Priya is trying to decide which babysitting job she should take. She can make 6 dollars an hour
at Job A. Job B is offering her 4 dollars an hour but includes a bonus and will pay 10 dollars for
the first hour (and then 4 dollars each additional hour) (3 points)
a. Fill in the table to show how much money she makes for each job
1
3
4
5
6
Hours
Job A
Job B
2
12
22
b. At what point will she make the same amount of money?
c. What advice would you give Priya on which babysitting job to take?
Answers
Answer:
a. Job A 1. 6 2.12 3.18 4.24 5.30 6.36 Job B 1. 10 2. 14 3.18 4.22 5.26 6.30
b. she will make the same amount of money at 3 hours.
c. Priya should take the first job ( Job A), because even with the 6 dollar bonus for the first hour, the second job (Job B) would be paying less money after 3 hours.
Step-by-step explanation:
Find the 9th term of the geometric sequence 5, -25, 125
Answers
Answer:
The previous number keeps getting multiplied by - 5
Step-by-step explanation:
5 × -5 = -25
-25 × -5 = 125
125× -5 = -625
-625 × -5 = 3,125
3125 × -5 = -15,625
-15,625 × -5 = 78,125
78,125 × -5 = -390, 625
-390,625 × -5 = 1,953,125
1,953,125 × -5 = 9,765,625
:)
The 9th term of the geometric sequence is 5⁹.
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.
The formula to find nth term of the geometric sequence is [tex]a_n=ar^{r-1}[/tex]. Where, a = first term of the sequence, r= common ratio and n = number of terms.
The given geometric sequence is 5, 25, 125,..
To find the common ratio, divide the second term by the first term:
r = 25/5
r = 5
The formula for the nth term of a geometric sequence is:
aₙ = a₁ rⁿ⁻¹
Substitute n = 9, r = 5, and a₁ = 5:
a₉ = 5 (5)⁹⁻¹
a₉ = 5 (5)⁸
a₉ = 5⁹
Hence, the 9th term of the geometric sequence is 5⁹.
To learn more about the geometric sequence visit:
https://brainly.com/question/11266123.
#SPJ2
9e + 4=5e + 14 + 13e
Answers
Answer:
e = -1
Step-by-step explanation:
1. 9e + 4 = 5e + 14 + 14e
2. 9e = 5e + 10 + 14e
3. 9e = 19e +10
4. -10e = 10
5. e = -1
Hope that helps
Answer:
e - 10
Step-by-step explanation:
1.) We need to manipulate the equation to get e by itself.
2.) To solve the equation, do the following steps;
9e + 4 = −5e + 14 + 13e
9e + 4 = 14 + 8e (Combine like terms)
9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)
e + 4 = 14 (Combine like terms)
e + 4 - 4 = 14 - 4 (Subtract 4 from each side)
e = 10 (Combine like terms.
3.) Answer: e = 10.
Now lets check our work. To check your work, do the following steps;
9e + 4 = −5e + 14 + 13e
9e + 4 = 14 + 8e
9(10) + 4 = 14 + 8(10)
90 + 4 = 14 + 80
94 = 94
By doing those steps we can confirm the answer, e = 10, is true.
pleasee help me, I don’t get it
Answers
Answer:
x = 4 sqrt(5)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + x^2 = 12^2
64+ x^2 =144
Subtract 64 from each side
x^2 = 144-64
x^2 =80
Take the square root of each side
sqrt(x^2) = sqrt(80)
x = sqrt(16*5)
x = 4 sqrt(5)
Brainiest answer to whoever is correct
Answers
Answer: x= 25
Step-by-step explanation:
Vertical angles are equal. Set these equal to each other to solve. 7x-18 = 6x+ 7. Add 18 to both sides. 7x = 6x + 25. Subtract 6x from both sides. X=25
Which postulate proves the two triangles
congruent?
Account
SAS
SSS
AAS
ASA
Not congruent
Answers
Answer:
HL
Step-by-step explanation:
PQ = PR {hypotenuse}
PS = PS {Reflexive property, PS is the leg of the both triangles}
∠PSQ = ∠PSR = 90
So, HL postulate
This isn’t math but I don’t get the questions i don’t know how to answer it
Answers
Answer:
The people in my life are academically supportive because they motivate me to do my work.
Something like that.
easy question but struggling abit :)
Answers
Answer:
535 POUNDS
Step-by-step explanation:
The total cost of the trip is 1280+640+220= 2,140
2140/4 = 535
Answer:
Sorry I’m not sure because my answer seems to simple so it may be wrong
Step-by-step explanation:
Total cost: £2,140
2,140 ÷ 4 = 535
So each friend including Tim pays $535 for the trip
36m+16 (no spaces in your answer
Factor and Expand
Answers
uh..? im dead lol PLS
3) If y varies directly as x, and x = 4 when y=1/10, write the the direct
variation equation in the form of y = kx. A.2D*
Answers
Answer:
I think it is y= 3x
Step-by-step explanation:
2/5 (s + 20) pls help
Answers
Answer:
2s/5 + 8
Step-by-step explanation:
if you wanted it simplified..
What is the measure of an angle that is its own complement?
What is the measure of an angle that is its own supplement?
Answers
Answer:
45 for complement
90 for supplement
Step-by-step explanation:
Solve the equation |4m| − 5 = 11.
Answers
Answer:
Please refer to the attachment
Will give BRAINLIEST VERY EASY
Is it possible for a system of equations composed of a linear function and a quadratic function to have 2 solutions?
Yes or No
Answers
Answer:
Im sry for being unhelpful but Heyy lol
Step-by-step explanation:
but btw i think the answer is no...
To solve the problem we must know about the system of equations.
What is a System of the equation?Inconsistent SystemA system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
To find
Is it possible for a system of equations composed of a linear function and a quadratic function to have 2 solutions?The solution is yes, it is possible for a system of equations composed of a linear function and a quadratic function to have 2 solutions.
What is a solution in the system of equations?In system equations, solutions are those points at which the line(or graph) of the equations intersect each other.
As we can see in the below image the system of equations has two solutions because the graphs of the equations intersect each other at two points.
Hence, it is possible for a system of equations composed of a linear function and a quadratic function to have 2 solutions.
Learn more about the System of equations:
https://brainly.com/question/12895249
Marian buys a dress that costs $32.00. She pays 10%
sales tax.
How much does she pay for the dress, with tax?
A. $5.20
B. $35.20
C. $34.00
D. $28.80
Please help
Answers
Answer:
B, $35.20
Step-by-step explanation:
32 increase 10% =
32 × (1 + 10%) = 32 × (1 + 0.1) = 35.2
Convert the angle 5pi/2 radians to degrees.
Answers
Explanation
The
leng
X+6
long
Kevin had a total of 160 minutes to read,
do homework, and play video games.
He spent x minutes reading
He spent 2(x+7) minutes doing
homework
He spent 35 minutes playing video
games.
How many minutes did Kevin spend
reading?
Answers
Answer:
49
Step-by-step explanation:
Solve :8x + 12y for x = 2 and y = 3
Answers
Answer:
8x+2y
8(2)+2(3)
8 multiply 2 = 16
2 multiply 3 = 6
16+6= 22
Step-by-step explanation:
Jim had a collection of 24 state quarters. He poured 10 of them onto the table and noticed the years that the quarters were produced,
as shown below.
2004, 2006, 2009, 2003, 2001, 2001, 2006, 2006, 2004, 2003
Assuming that the sample was representative of the collection, what was the mode of the year that the quarters were produced?
Answers
Answer:
2006
Step-by-step explanation:
you would subrwct them
write this phrase as an expression: a number d multiplied by 3
Answers
Answer:
id k :)
Step-by-step explanation:
Please help ASAP it’s due in 4 minutes
Answers
Answer:
a) well we know the hypotenuse and we know that all sides are 90 degrees, and that its an even square, so if we split it into a triangle , we know that the other 2 angles are 45 degrees total, with this we can calculate the other 2 sides, which round to 10 inches.
b) if we know the sides of the first side, knowing the fact that its a square we know that all sides are even, therefore, all sides are 10 inches, the formula the finding the perimeter is basic:
P=L(2) + W(2)
L being length, W being width and P being perimeter
so we add up all 4 sides, here is the equation:
10 + 10 + 10 + 10 = 10 x 4 = 40
With this, we know that the perimeter is 40 inches total
c) knowing how long the sides are, we can figure out the area through another basic formula:
A=L X W
With A meaning Area
since its a square, we know all the sides are even, so the width and length are both 10...
10 X 10 = 100
Step-by-step explanation:
I Hope I Helped!
Explain how you could use a number line to determine the number that is 8 less than 3 what is the number
Answers
Answer and explanation:
8 less than 3 is subtracting 8 from 3:
3-8
If we wish to find this using the number line, we would need to find the value given if negative eight and positive three are added. Our answer would likely fall on the negative/left side of the number line since the value 3 has less to give than what is required -8( use the analogy of oranges available and oranges given/required)
3-8= -5
We count from 0 to the left -5
Please help!! Tysm!! ❤✨
Answers
Answer: 3rd option
Step-by-step explanation: