The equation is x² + y² = 277 and the value of x and y is 9 and 14 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the two number be x and y
One integer is 5 less than another
So , x = y - 5
x - y = -5 be equation (1)
And , sum of their squares is 277
So , x² + y² = 277 be equation (2)
On simplifying the equation , we get
( x - y )² = x² + y² - 2xy
Substituting the values in the equation , we get
( -5 )² = 277 - 2xy
2xy = 277 - 25
2xy = 252
And , ( x + y )² = x² + y² + 2xy
Substituting the values in the equation , we get
( x + y )² = 277 + 252
( x + y )² = 529
( x + y ) = 23 be equation (3)
Adding equation (1) and equation (3) , we get
2x = 18
x = 9
So , y = 14
Therefore , the value of x and y is 9 and 14 respectively
Hence , the equations are solved
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Which graph represents a linear function?
The linear function is a straight line graph . Consequently, the third graph shows a linear function.
what is linear function ?When the independent variable (often 'x') varies by a constant amount and the dependent variable (typically expressed by 'y') changes by a constant amount, the function is said to be linear. To show the relationship between two quantities, a linear graph is a straight line graph. This graph is useful for showing a result as a series of simple straight lines. The phrase "linear" refers to a straight line and excludes the usage of curves, dots, bars, etc. Plot coordinates at positions where x and y are identical in order to draw the line y = x. More points can be plotted even though three are plenty.
given
A linear function has a graph that is a straight line. A nonlinear function, then, has a graph that is not a straight line.
Something like y equals x cubed or y equals e to the power of x is an illustration of this. Furthermore, if we look closely at our graph, we can see that the line is not vertical.
The graph of a linear function is a straight line. Consequently, the third graph shows a linear function.
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Write a system of equations for the word problem and then solve to find the answer.
At least week’s basketball game, Ben’s team scored 3 times as many points as Sam’s
team. Together, both teams scored 80 points in total. How many points did each team score?
Equation 1 __________
Equation 2 __________
Answer:
Sam's team scored 20 points. Ben's team scored 60 points
Step-by-step explanation:
b = 3s
s + b = 80
Substitute
s + 3s = 80
4s = 80
s = 20
f(x)=Sin2x ,x0=pi:3
f(x)=3x-x^2 ,x0=-1
Please help and if someone has discord server to help solve math problema please give me invite
Answer:
For the first function, F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.
For the second function, f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.
Step-by-step explanation:
It looks like you are trying to find the value of two different functions at specific points.
For the first function, F(x) = sin(2x) and x0 = pi:3, we want to find the value of F(x) when x = pi:3. Plugging this value into the function gives us F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.
For the second function, f(x) = 3x - x^2 and x0 = -1, we want to find the value of f(x) when x = -1. Plugging this value into the function gives us f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.
What is the quotient of the following division problem?
97 - 9 = ?
A. 12 r7
B. 9r7
C. 10 r8
D. 107
Answer:
D. 10r7
Explaination:
9 goes into 97 10 times, and has a remainder of 7
Max used 12 1⁄2 pounds of deli meat in one week at his sandwich shop. If he uses 1⁄4 of a pound of meat for each sandwich, how many sandwiches did he make with the deli meat?
Answer:
[tex]12 \frac{1}{2} \div \frac{1}{4} = x \\ 12.5 \div 0.25 = x \\ x = 50[/tex]
Max made 50 sandwiches
Find the approximate area of the area of the sector with an angle measure of 309 degrees and radius 19mi Round your answer to the nearest hundredth
Answer:
Step-by-step explanation:
Answer:
973.45 mi²
Step-by-step explanation:
area of a sector
a = (∅/360) * πr²
a = (309/360) * π(19)²
a = 973.4486636536
Rounded
a = 973.45 mi²
The population of a high school is 51% male. Of those who attend a school’s inaugural concert, 45% are male. Are gender and concert attendance dependent or independent events?
9514 1404 393
Answer:
dependent
Step-by-step explanation:
The percentage of males depends on whether they attend the concert. The events are dependent.
If the events were independent, the percentage would remain the same regardless of concert attendance.
Adam, Linda and Rytis share an amount of money.
Linda gets three times as much money as Rytis gets.
Linda gets half as much money as Adam gets.
What fraction of the amount of money does Linda gets
please answer for this question
Answer:
Step-by-step explanation:
Bbb
Solve 0.5(-2+ 4d) - 2d=-13 for d.
O Infinite solutions
O No solution
O d=-11
O d = 1.375
Answer:
(b) No solution
Step-by-step explanation:
You want the solution to 0.5(-2+ 4d) - 2d = -13.
SimplifiedEliminating the parentheses using the distributive property, we have ...
-1 +2d -2d = -13
Collecting terms gives ...
-1 = -13 . . . . . false
No value of d will make this true. There is No Solution.
what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right
Answer:
To calculate the percent of change, you will need to find the difference between the original score and the revised score and divide that by the original score. Then, multiply the result by 100 to express the answer as a percentage.
In this case, the difference between the original score (5 questions right) and the revised score (15 questions right) is 10 questions. Dividing this by the original score of 5 questions gives you a result of 2. Multiplying this by 100 gives you a percent of change of 200%. This means that your revised score is 200% higher than your original score.
Step-by-step explanation:
Imagine a box with an ant at one corner. The ant wants to travel to the opposite corner by the most direct path. It must travel across the top of box at some stage. The top of the box is the light area. It cannot travel along the ground or under the box. (Hint : it does not have to travel along an edge)
The solution is Option A.
The shortest distance is given by the two hypotenuses of the triangles and the distance is X = 7.8 cm
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the shortest distance be represented as X
Let the first triangle be the first face of the rectangular box ΔABC
The length of the triangle AB = 3 cm
The height of the triangle BC = 2 cm
Now ,
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
The measure of AC = √ ( 3² + 2² )
The measure of AC = √13 cm
And , the second triangle is the second face of the rectangular box ΔDEF
The length of the triangle DE = 4 cm
The height of the triangle EF = 2 cm
The measure of DF = √ ( 4² + 2² )
The measure of DF = √18 cm
Now , the shortest distance X = The measure of AC + measure of DF
Substituting the values in the equation , we get
The shortest distance X = √13 cm + √18 cm
The shortest distance X = 3.60 + 4.24
The shortest distance X = 7.8 cm
Therefore , the value of A is 7.8 cm
Hence , the shortest distance for the ant is 7.8 cm
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plz help me asapppppppp
Answer:
7. x = 37.5
8. x = 8
Step-by-step explanation:
7. The sides of the triangles are proportional, therefore:
x/20 = (46 - 16)/16
x/20 = 30/16
Cross multiply
x*16 = 30*20
16x = 600
Divide both sides by 16
x = 600/16
x = 37.5
8. The sides of the triangles are proportional. Therefore,
(7x - 1)/22 = (3x + 1)/10
Cross multiply
10(7x - 1) = 22(3x + 1)
70x - 10 = 66x + 22
Collect like terms
70x - 66x = 10 + 22
4x = 32
4x/4 = 32/4
x = 8
Mr. A is white, non-hispanic, 20 years old, and a high school dropout. Using the probit regression, assuming that Mr. A is not subject to a workplace smoking ban, calculate the probability that Mr. A smokes. Carry out the calculation again, assuming that he is subject to a workplace smoking ban. What is the effect of the smoking ban on the probability of smoking
Answer: Hi Your question lacks some information but i will give you a general solution with similar data found online
answer
a) 15.15%
b) The effect on The probability of smoking is that the p( smoking ) will reduce from 15.15% to 11.70%
Step-by-step explanation:
Using The probit regression
from the attached question ;
for smoking
1 = smokes , 0 = do not smoke
For Independent variable
1 = ban at workplace , 0 = not ban at workplace.
sex : male = 0 , female = 1
a) Assuming Mr. A is not subject to a workplace smoking ban
P ( Mr. A smokes ) = 15.15%
b) Assuming Mr. A is subject to a workplace smoking ban
determine effect on P ( Mr. A smokes )
The effect on The probability of smoking is that the p( smoking ) will reduce from 15.15% to 11.70%
80/100 as a percentage
Answer:
80%.Step-by-step explanation:
Since,
Any number if divided by hundred then that no. is known as a percentage.
Here,
80 is divided by 100 i. e.
80 / 100
= 80% (Ans)
Answer:
[tex]80\%[/tex]Step-by-step explanation:
Write the problem as a mathematical expression.
[tex] \frac{80}{100} [/tex]Convert to decimal.
[tex]0.8[/tex]Multiply 0.8 by 100 to convert to a percentage.
[tex]0.8 \times 100[/tex] [tex]80\%[/tex]Hope it is helpful.....There is a safety fence around a circular pool with a gate. The gate is 150 cm wide.
an image
What is the length of the fence not including the gate?
m
Use π
= 3.14
Length of fence = Circumference of the pool – width of the gate. Length of fence = 6.28x – 150 cm.
What is the length of the fence?Let the circular pool has the radius (r ) = x cm.Since the pool is in a circular shape so the circumference will be the length of the fence. Moreover, there is a 150cm wide so we have to subtract the 150 cm from the value of circumference in order to get the actual length of the fence.Length of fence = Circumference of the pool – width of the gate.Length of fence = 2 π r – 150Length of fence = 2 × 3.14 × x – 150Length of fence = 6.28x – 150 cm.a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the latin radius.To learn more about length of the fence refers to:
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Below are graphs of several functions. Which functions have the specified
domain and range? There may be more than one correct answer.
Domain: (x | x ≥ 3/2)
Range: (-00, 2)
Note: Be sure to select ALL correct answers.
B
For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.
What do you mean by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
What are domain and range of the function?A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.
domain : (x | x [tex]\geq[/tex] 3/2)
range : (-∞ , 2)
For these values, Option B , C and E holds that they exists when x [tex]\geq[/tex] 3/2 and it's output that is y exists between (-∞ , 2).
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What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary. 2, 4, 6, 9, 14
Answer:
For a data set of N elements:
{x₁, x₂, ..., xₙ}
The mean is:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
The mean absolute deviation is:
[tex]MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}[/tex]
And the population standard deviation is:
[tex]PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}[/tex]
In this case, our set has 5 elements, and the set is:
{2, 4, 6, 9, 14}
The mean of this set is:
[tex]M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7[/tex]
The mean absolute deviation is:
[tex]MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6[/tex]
And the population standard deviation is:
[tex]PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2[/tex]
Question 5
The graph of a system of two linear equations results in two parallel lines.
How many solutions are there for the system?
A
no solution
B
infinitely many solutions
С
one solution
D
two solutions
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Answer:
A. no solution
Step-by-step explanation:
The solution is found where the lines meet. Parallel lines never meet, so there is no solution.
Answer only if you know if you put links I will report
Answer: Reflection of the x axis.
Step-by-step explanation: This didn't rotate because the coordinates were reflected this isn't a translation because you didn't translate anything. Reflection, the coordinates are just still the same distance from the other coordinates.
When you sign up for dance class you have a startup fee of $75 and then a monthly fee of $54.
The dance company uses the expression 75 + 54m to find out how much it will cost to attend classes.
How much would it cost to take classes for 10 month?
Work Shown:
75+54m
75+54*10
75+540
615
-50 POINTS- only answer if you know. NOT (4,7) OR (5,2).
Answer:
(8, -2)
Step-by-step explanation:
Given:
[tex]\textsf{If P = (8, 2), Find $\sf R_{x-axis}(P)$}[/tex]
[tex]\sf R_{x-axis}(P)[/tex] means to reflect the given point P in the x-axis.
When a point is reflected in the x-axis, the x-value is unchanged, but the y-value becomes negative:
(x, y) → (x, -y)Therefore:
[tex]\sf R_{x-axis}(P)=(8,-2)[/tex]
PLEASE HELP!! I will give brainiest !!!
Answer:
no f-ing clue
Step-by-step explanation:
How many total people responded to the survey? And can i get the numbers that are missing that’s supposed to be place in the missing spots
Answer:
56 42 98
3 7 10
59 49 108
Step-by-step explanation:
108 people responded to the survey
Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why?
No, because the quotient of Fraction 3 over 4division signFraction 1 and 4 over 5 is 1 and 7 over 20
No, because the quotient of Fraction 1 and 4 over 5Division signFraction 3 over 4 is 1 and 7 over 20
Yes, because the quotient of Fraction 3 over 4division signFraction 1 and 4 over 5 is 2 and 2 over 5
Yes, because the quotient of Fraction 1 and 4 over 5Division signFraction 3 over 4 is 2 and 2 over 5
the sum of two rational numbers is -2. if one of the numbers is -14/5 find the other number
The other number is 4/5
Step-by-step explanation:
let the number be x
if one of the numbers is -14/5
The sum of two rational numbers is -2.
Here, we get the equation
x + (-14/5) = -2
x - 14/5 = -2
x = 14/5 - 2
x = 14 - 2 × 5 ÷ 5
x = 14 - 10 ÷ 5
x = 4/5
Thus, The other number is 4/5
FOR VERIFICATION ONLY:x + (-14/5) = -2
4/5 + (-14/5) = -2
4/5 - 14/5 = -2
4 - 14/5 = -2
-10/5 = -2
-2 = -2
Hence, L.H.S = R.H.S
-TheUnknownScientist
Need Help Solving This.
On solving the provided question, we can say that 50 will therefore be the missing number in the odd numbers 2 5 10 x 2637.
What are odd numbers?A number that is odd is one that can't be partitioned flawlessly into matches. One remains after dividing an odd number by two. The numbers 1, 3, 5, 7, 9, 11, 13, and 15 are consecutively odd. While odd numbers cannot be divided in half, even numbers can. 3, 5, 7, 9, 11, 13, and 15 are unusual cases. Even numbers include 2, 4, 6, 8, 10, 12, and 14.
According to the given question:
Following the numbers 3, 5, 7, 9, 11, and 13, which are all odd numbers, the provided series moves on to 13.
Therefore,
After 37, there will be a break before 50.
50 will therefore be the missing number.
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On solving the provided question, we can say that in this function f(x) = /16/1224 x^2 + 7x/5 + 1.5 = > f(2) = 2234.2454
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
in this function
f(x) = /16/1224 x^2 + 7x/5 + 1.5
f(2) = 2234.2454
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SELECT ALL of the numbers that are included within the range of the line segment.
ANSWERS ↓
-6
-4
-3
-2
0.5
1.5
3.5
Answer: -2, -3, and -4.
Step-by-step explanation:
The range is all the Y Values the graph uses, and the Y values range from -0.5 to -5.5, making every number in between those included.
Put the quadratic
y = 3x2 + 5x + 1
into the quadratic formula: x = -b+Vb2-4ac
Enter the number that belongs in the green box
- [?]+v[ 12-40)
20
2a
X=
Answer:
y = 3x² + 5x + 1
x = -b±√b²-4ac/2a
a = 3, b = 5 c = 1
x = -5±√5²-4(3)(1)/2(3)
x = -5±√25-12/6
x = -5±√13/6
The number that belongs in the green box is -5.
Given:
Quadratic equation y = 3x² + 5x + 1 into the quadratic formula,
which is [tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex], determine the values of a, b, and c from the given equation.
Comparing the equation y = 3x² + 5x + 1 with the standard quadratic form y = ax² + bx + c
a = 3
b = 5
c = 1
Now, substitute these values into the quadratic formula:
x = (-(5) ± √((5)² - 4(3)(1))) / (2(3))
x = (-5 ± √(25 - 12)) / (6)
x = (-5 ± √(13)) / 6
Therefore, the quadratic equation y = 3x² + 5x + 1 can be expressed in the quadratic formula as: x = (-5 ± √(13)) / 6
Thus, the number is -5.
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I get 5.75 vacation hours for every 75 hours worked, how much time do I earn per hour?
Answer: 0.07666666666666666666666666666667.
Step-by-step explanation: Divide 75 from 5.75. You earn 7 seconds every hour.
Answer:
0.0766666666666667 (you can round it however you want)
Step-by-step explanation:
5.75 ⇒ 75
? ⇒ 1
5.75 × 1 = 5.75
5.75 ÷ 75 = 0.0766666666666667
= 0.08
In Exercises 10-11, find the range of the function.
10. k(x) = x² + 9
11. f(x) = (x + 5)² +3
As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).
What is function?Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.
Here,
The formula is presented as
k(x) = x² + 9
The aforementioned equation is linear.
the range is (-∝, ∝) and the domain is(-∝, ∝)
Formula 2
The formula is presented as
y = (x + 5)² +3
The aforementioned equation is linear.
The range is (-∝, ∝), and the domain is (-∝, ∝).
As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).
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