Answers
Answer:
A translation 4 units right and 5 units down followed by a rotation of 90 degrees clockwise about the top left vertex of triangle 2
Related Questions
I received help on this and we got the answer 4. Unfortunately, it’s telling me 4 is wrong yet we can’t find an issue with her work. Please help!
Answers
Answer:
Try no solution
Step-by-step explanation:
Solving for the solution the answer is 4
Solving for x the answer is no solution
What is the slope of the linear relationship?
A graph of a linear function that decreases from left to right passing through the points 2 comma 0 and 5 comma negative 2.
negative three halves
negative two thirds
two thirds
three halves
Answers
The slope of the line represented by the graph of a linear function is -2/3.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
m → slope of line
c → y - intercept of line
Given in a question a linear function that decreases from left to right passing through the coordinates A(2, 0) and B(5, -2).
A linear function is a function of general equation → y = ax + b which is same as y = mx + c. So, it represents a straight line.
The line passes through the points A (2, 0) and B (5, -2). The Slope of the given line can be calculated using the following formula -
m = (y[2] - y[1]) / (x[2] - x[1])
m = (- 2 - 0) / (5 - 2)
m = -2/3
Therefore, the slope of the line represented by the graph of a linear function is -2/3.
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The slope of the line represented by the graph of a linear function is -2/3.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
where -
m → slope of line
c → y - intercept of line
Given in a question a linear function that decreases from left to right passing through the coordinates A(2, 0) and B(5, -2).
A linear function is a function of general equation → y = ax + b which is same as y = mx + c. So, it represents a straight line.
The line passes through the points A (2, 0) and B (5, -2). The Slope of the given line can be calculated using the following formula -
m = (y[2] - y[1]) / (x[2] - x[1])
m = (- 2 - 0) / (5 - 2)
m = -2/3
Therefore, the slope of the line represented by the graph of a linear function is -2/3.
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y = 5x - 3
10x - 2y = 7
Answers
Answer:
No solution
Step-by-step explanation:
First I plugged the value of y into the equation 10x-2y=, which gave me
10x- 2(5x - 3) = 7. Then you can distribute the -2 into the parenthesis giving you 10x - 2(5x)(-2 x -3) = 7. This leaves us with 10x- 10x + 6 = 7, because two negatives multiplied together form a positive. Now you subtract six from both sides to keep it equal, and you're left with 10x-10x= 1. This gives you 0= 1, which is not possible, so there is no solution.
We can check our work by putting 10x -2y= 7 into y=mx+b format, by subtracting 10x from both sides, leaving you with -2y = -10x+ 7. then you can divide out the -2, giving you y= 5x+ 7/5. Notice how the slopes in both our equations are 5x. This means that they are a group of parallel lines, bc they both stay at the same rate, despite having different y-intercepts or starting points.
I hope this helps and please let me know if you have any other questions or need somethign to be explained more :D
Write the function, y=|x|
after the following transformations:
1) Reflect the function about the y-axis.
2) Compress the function vertically by a factor of 1/4.
3) Shift the function left 84 units.
Answers
The function, after the transformations is y'' = 1/4(x +84)
How to determine the function, after the transformations?The function equation is given as:
y = |x|
1) Reflect the function about the y-axis.
This is represented as
(x, y) = (-x, y)
So, we have:
y' = |-x|
This gives
y' = |x|
2) Compress the function vertically by a factor of 1/4.This is represented as
(x, y) = (x, 1/4y)
So, we have:
y'' = 1/4y'
This gives
y'' = 1/4|x|
3) Shift the function left 84 units.This is represented as
(x, y) = (x + 84, y)
So, we have:
y'' = 1/4(x +84)
Hence, the function, after the transformations is y'' = 1/4(x +84)
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Write an equation for a Parabola reflected over the y axis , horizontally compressed by a factor of 1/2 and translated up 6 units
Answers
Step-by-step explanation:
Given that
Parabola reflected over the y axis , horizontally compressed by a factor of 1/2 and translated up 6 unitsTo find
The equation of a Parabola.So, according to the question
we have,
Parabola reflected over the y axis , horizontally compressed by a factor of 1/2 and translated up 6 unitsSo, we know that
The equation of parabola, that reflected over the y axis, and horizontally compressed by a factor of m and translated up c units:
x = - my² + c ---------------(1)
Where,
m show the a factor, c showing translation.
And - sign show the compression.
Now, put the all given values in equation (1),
So, we will get
x = - my² + c ---------------(1)
x = - [tex]\frac{1}{2} y^2[/tex] + 6
Answer:
The equation of a Parabola is x = - [tex]\frac{1}{2} y^2[/tex] + 6 .To learn more about Parabola, please click on the link:
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The sum of a number x and 33 is greater than the product of 4 and that number. What are the possible values for the number?
Answers
11 > x is the possible values for the number.
What is algebraic expression ?In algebraic formulations, numbers are represented by letters or alphabets without their numerical values being specified. The fundamentals of algebra taught us how to represent an unknown value using letters like x, y, and z. Here, these letters are referred to as variables. A mathematical expression may have both variables and constants. A coefficient is any value that is introduced before and increased by a variable.
Given that :The sum of a number x and 33 is greater than the product of 4 and that number.
x + 33 > 4x
33 > 3x
11 > x
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M is the midpoint of AB. Find AM, MB and AB if AM = 2x + 9, MB = 4x-5
PLEASE HELP!!
Answers
Answer:
AM= 2x+4
MB= 5x-8
AB= ?
So to get AB, you would need to find the total measurements of AM and MB.
AM=MB
2x+4=5x-8
2x=5x-12
-3x=-12
x=4
So now to find the measurement of AB, you need to plug it into AM and MB.
2(4)+4+5(4)-8= 24!!!
So the measure of AB would be 24.
Step-by-step explanation:
A large rectangle has side links of 8 m in 6 m a smaller rectangle with side links of 4 m into meters is cut out of the large rectangle what is the area of the remaining part of a large rectangle
Answers
The area of the remaining part of a large rectangle is 8m².
How to calculate the value?It should be noted that the original rectangle had sides of 8m by 6m.
In this case, it was stated that 4m was cut out from each side. The value of the remaining sides will be:
Area = Length × Width
Area = (8 - 4) × (6 - 4)
Area = 4 × 2
Area = 8m²
Therefore, the area of the remaining part of a large rectangle is 8m².
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James buys a drink for 2 euros (€).
Work out the cost of the drink in pounds (£) when £1 = €1.252.
Give your answer correct to 2 decimal places.
Answers
Answer:
£1.6
Step-by-step explanation:
we can round 1.252 to 1.25
to find how much 2 euros is, we first have to make 1.25 into 2.
to do that, we will use the same equation to get the answer for £
1.25/5*8=0.25*8=2. now we repeat for £1
1/5*8=0.20*8=1.6
hope it helps
What is the equation for the trend line passing through the scatter plot below using data points (10, 6) (30, 12)?
Answers
The linear equation that passes through (10, 6) and (30, 12) is:
y = (3/10)*x + 3
How to find the equation of the line?Remember that the general line equation (in the slope-intercept form) is:
y = a*x + b
Where a is the slope and b is the y-axis intercept.
If the line passes through two points (x₁, y₁) and (x₂, y₂), the slope will be:
a = (y₂ - y₁)/(x₂ - x₁)
Then in this case the slope is:
a = (12 - 6)/(30 - 10) = 6/20 = 3/10
Replacing that in our line we get:
y = (3/10)*x + b
To find the value of b we replace the values of one of the points, i will use (10, 6), it gives:
6 = (3/10)*10 + b
6 = 3 + b
6 - 3 = b = 3
Then we conclude that the linear equation is:
y = (3/10)*x + 3
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HELP PLEASE!
Find the measurement of the angle indicated for each trapezoid.
Answers
Answer:
m∠B = 53°
Step-by-step explanation:
You want the measure of the acute angle, given that consecutive interior angles of the trapezoid have measures (32x-1) and (14x-3).
SetupConsecutive interior angles between the bases of a trapezoid are supplementary:
(32x -1) +(14x -3) = 180
SolutionSimplifying the equation, we get ...
46x -4 = 180
46x = 184 . . . . . . add 4
x = 4 . . . . . . . . divide by 46
The smaller angle is ...
14(4) -3 = 56 -3 = 53
The measure of angle B is 53°.
__
Check
The measure of angle C is 32(4) -1 = 127. This is the supplement of the measure of angle B, as it should be.
Unit 2-A:
Estimate the sum. Round to the nearest whole number (ones place).
$14.59+ $5.83 + $0.89 to
Answers
The nearest whole number (ones place).
$14.59+ $5.83 + $0.89 =21 rounding off
Given,
$14.59+ $5.83 + $0.89
Whole no. is 0,1,2..
If we add these number we get 21.31 is 21
When rounding numbers, there are several basic guidelines that must be observed.
We must first determine our rounding digit. This is the digit that will be affected in the end.
Following that, we must examine the digit to the right of this location, which will determine the fate of the rounding digit.
We do not modify the rounding digit if the digit to the right is less than 5. All digits to the right of the rounding digit, however, are altered to 0.
If the digit to the right is 5 or greater, the rounding digit is increased by one, and all digits to the right of the rounding digit are converted to 0.
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(1)What value of x makes the following equation true?
1/3x + 7 = 3+ 2/3x
Enter your answer as a number, like this: 42
(2)What value of r makes the following equation true?
5r−8=9r−12
Enter your answer as a number, like this: 42
(3)What value of t makes the following equation true?
5/9t−27=1/9t+21
Enter your answer as a number, like this: 42
(4)What value of y makes the following equation true?
−1/2(−5y+4)=2+1/2y
Enter your answer as a number, like this: 42
(5)What value of a makes the following equation true?
4(a+3)=2a+12
Enter your answer as a number, like this: 42
(6)What value of x makes the following equation true?
15+3x=3(2−2x)
Enter your answer as a number, like this: 42
(7)What value of u makes the following equation true?
1/2(12u−4u+6)=1+2u
Enter your answer as a number, like this: 42
Answers
The solutions of the linear equations are below:
(1/3)*x + 7 = 3 + (2/3)*x is true if x = 12
5r−8=9r−12 is true if r = 1
(5/9)t− 27 = (1/9)t + 21 is true if t = 108
−(1/2)(−5y+4) = 2 + 1/2y is true if y = 2.
How to solve the linear equations?a) The first linear equation we have is:
(1/3)*x + 7 = 3 + (2/3)*x
To solve this, move all the like terms together (I will move the ones with x to the left side and the ones without x to the right side).
(1/3)*x - (2/3)*x = 3 - 7
Now we just simplify:
-1/3*x = -4
Now we isolate x:
x = -3*-4 = 12
x = 12
That is the solution of the linear equation, so remember, you just need to isolate the variable.
Let's do the same for the other ones:
2) 5r−8=9r−12
5r - 9r = -12 + 8
-4r = -4
r = -4/-4 = 1
r = 1
3) (5/9)t− 27 = (1/9)t + 21
(5/9)*t - (1/9)*t = 21 + 27
(4/9)*t = 48
t = (9/4)*48 = 108
4) −(1/2)(−5y+4) = 2 + 1/2y
Here we start by expanding the product in the left side, we will get:
(5/2)*y - 2 = 2 + (1/2)*y
(5/2)*y - (1/2)*y = 2 + 2
(4/2)*y = 4
2*y = 4
y = 4/2 = 2
y = 2
And so on, that is the general method to solve linear equations, just isolate the variable in one side of the equation and simplify the other side.
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Father+son's age= 60 yrs. after 15 years father's age will be 2X to the son's age, what is the son's current age?
Answers
Answer:
the father is 45 and the son is 15
Type an equation for the following pattern.
Answers
The equation of the table is y = 28x
How to write equation of a linear table?The slope intercept equation of a linear equation is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, let's find the slope using (1, 28)(2, 56)
m = slope = 56 - 28 / 2 - 1 = 28
Therefore, let's find the y-intercept as follows:
using (1, 28)
28 = 28(1) + b
b = 28 - 28
b = 0
Hence, the equation of the table is y = 28x
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Help pls. I'll mark as brainlist.
Answers
Answer:
Neither is correct
Step-by-step explanation:
Look at each side of the smaller figure and compare it to the larger figure. That will give you the scale: (Larger figure length)/(Smaller figure length)
Let's take the base
Smaller figure is 6 units
Larger figure is 9 units
Scale = 9/6 = 1.5
Take the vertical height
Smaller figure = 4
Larger figure = 8
So here the scale is 2
Scaling is inconsistent for different sides of the figure
So neither of them is right. For a figure to be scaled, all its sides must be scaled by the same number
Step-by-step explanation:
To know wgich scale factore the Original sketch was increased with Compare the measurements of the original sketch and the student's sketch.
HOW?
do the proportion with relations to each and every side to see by how much each side increased.
For the bases it will be>>>>>>> The base of the student's sketch/ The base of the Original sketch(distance)
=10/7
10/7Adjacent side of the Student's Sketch/Adjacent side of the Original sketch
10/7Adjacent side of the Student's Sketch/Adjacent side of the Original sketch=9/5
upper side os student's sketch / upper side of original sketch
upper side os student's sketch / upper side of original sketch =4/3
Before I go any further you can see that for any side there is no certain(constant) scale factor whuch was used to increase the original Sketch to the Student's Sketch. Fir each and every side the Scale factor keeps on Changing This brings us to a conclusion that NEITHER OF SASHA AND RANDY IS CORRECT.
HOPE THIS HELPS
What are 5 of examples about positive and negative numbers and real life
Answers
Answer:
Above sea level (positive)
Below sea level (negative)
Temperature (can be both)
Money loans (can be both)
science (protons have both negative and positive charge)
Step-by-step explanation:
A coordinate grid with a line passing through (negative 4, 0) and (0, negative 8)
The line y = –2x – 8 is graphed. Which ordered pairs are solutions to the equation? Check all that apply.
(–8, 8)
(–6, 2)
(–2, 4)
(0, –4)
(2, –12)
Answers
Answer: The answers are (-8,8) and (2,-12)
Step-by-step explanation: I substituted the coordinates into the equations and on both sides they matched!
Hope this helps! :3
Students at polk midle school ate given a fitnrss test. The results of their tests are shown .in the table. Use the table to answer questions a-c
Answers
In linear equation ,the time taken by Evian, Toby and J are 10, 9 and 12 minutes respectively.
What is linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Using the concept of proportional relationship, the time taken by Evian, Toby and J are 10, 9 and 12 minutes respectively.
Using the concept of proportional relationship :
For Evian :
1.5 miles = 15 minutes
1 mile = x
1.5x = 15
x = 15 / 1.5
x = 10 minutes
For Toby :
2/3 miles = 6 minutes
1 mile = x
2/3x = 6
x = 6 ÷ 2/3
x = 9 minutes
For J :
0.75 miles = 9 minutes
1 mile = x
0.75x = 9
x = 9 / 0.75
x = 12 minutes
Therefore, the time taken by Evian, Toby and J are 10, 9 and 12 minutes respectively.
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The complete question is -
Students at Polk Middle School are given a fitness test. The results of their tests are shown in the table. Use the table to answer questions d-c. a. Find the time it takes each student to run 1 mile. FITNESS TEST RESULT Evian 1 1/2 miles in 15 minutes Toby: 2/3 miles in 6 minutes Jillian 3/4 miles in 9 minutes.
PLEASE HELP URGENT
Find the angle measure. Tell which angle relationship you used. Show all work
Answers
Answer:
Step-by-step explanation:
1. m1=50 so m5= 50 (corresponding)
2. m4=45, then m6=123 (given in 4. but also... angles 6+8 = 180)
3. m2= 130, so m7 = 130 (alt interior)
4. m6 = 123, so m3 = (alt interior)
h(x) = x³ - 2x² + x; Find h(4)
Answers
Answer:
the value of h(4) is 36 from given equation.
Step-by-step explanation:
Given that
The polynomial equationh(x) = x³ - 2x² + x
To find
h(4) = ...... ?So, according the question
We have,
h(x) = x³ - 2x² + x
For finding the value of h(4) from the given polynomial equation, we have to replace x from 4 or in other word we have to put x = 4 in given polynomial equation.
So, let's put x = 4 in that equation.
We get,
h(4) = (4)³ - 2(4)² + 4
= 64 - 2×16 + 4
= 68 - 32
h(4) = 36
Answer: Hance the value of h(4) is 36 from given equation.
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A piece of cloth 7 ¾ yards long is to be cut into 5 pieces. How long will each piece be? Write your answer as an improper fraction yards
Answers
Answer:
35/20 yards
Step-by-step explanation:
We know the keyword “cut” means to divide, so we now know we have to use division.
7 3/4÷5/1
First, make 7 3/4 an improper fraction.
7 x 4 = 28
28+7= 35
Remember to keep the denominator.
35/4 ÷ 5/1
Then, use the method Keep, Change, & Flip.
(35/4)(1/5) = 35/20
Therefore…
Each piece will be 35/20 yards long.
Use the graph to determine and interpret the solution.
A 4 cm bean plant grows at a rate of StartFraction one-half EndFraction. cm per week. A 5.5 cm flower grows at a rate of StartFraction one-fourth EndFraction. cm per week. If h is the height of the plant in centimeters and t is the number of weeks, then the system of equations is:
h = h equals StartFraction one-half EndFraction t plus 4.t + 4
h = h equals StartFraction one-fourth EndFraction t plus 5.5.t + 5.5
The solution to the system,
, means that the plants will both be
centimeters tall after
weeks.
Answers
The solution to the system of the equations h = (1/2)t + 4 and h = (1/4)t + 5.5 will be 7 cm and 6 weeks.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Half a centimeter grows on a 4 cm bean plant per week. One-fourth of a centimeter is added to a 5.5 cm bloom per week.
Let h be the height of the plant and t be the number of weeks. Then the equations will be
h = (1/2)t + 4
h = (1/4)t + 5.5
The solution to the equations will be
(1/2)t + 4 = (1/4)t + 5.5
(1/2 - 1/4)t = 5.5 - 4
t / 4 = 1.5
t = 6
Then the height of the plant will be
y = (1/2)6 + 4
y = 3 + 4
y = 7
The solution to the system will be 7 cm and 6 weeks.
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Which of the following is an example of a linear system of equations?
Answers
Answer: 5x+6y=13
6x-12y=14
HELPPPPPPPPPPPPPPP
Solve for x for each trapezoid.
*
Answers
Answer:
10
Step-by-step explanation:
Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,
[tex]9x+30+7x-10=180 \\ \\ 16x+20=180 \\ \\ 16x=160 \\ \\ x=10[/tex]
A local mountain biking club charges
$45 to join and $5 for each bike trip a
member goes on. Write an algebraic
expression to represent the total some-
one pays, where b represents the num-
ber of trips a person travels.
Answers
Answer:
x=45+5b
Step-by-step explanation:
x is the total
Evaluate (1.28 × 105) + (1. 13 × 10³). Express the result in scientific notation.
Answers
The value of the expression in scientific notation is 1.2913 * 10^5
How to evaluate the expression?The expression is given as:
(1.28 × 105) + (1. 13 × 10³)
Rewrite properly as
(1.28 × 10^5) + (1. 13 × 10^3)
Express 10^3 as 10^-2 * 10^5
So, we have
(1.28 × 10^5) + (1. 13 × 10^3) = (1.28 × 10^5) + (1. 13 × 10^-2 * 10^5)
Factor out 10^5
So, we have:
(1.28 × 10^5) + (1. 13 × 10^3) = (1.28 + 1. 13 × 10^-2) * 10^5
This gives
(1.28 × 10^5) + (1. 13 × 10^3) = (1.28 + 0.0113) * 10^5
Evaluate the sum
(1.28 × 10^5) + (1. 13 × 10^3) = 1.2913 * 10^5
Hence, the value of the expression in scientific notation is 1.2913 * 10^5
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The scientific notation of (1.28 × 105) + (1. 13 × 10³) is 1.2913 × 10⁵
How to express numbers in scientific notation?Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
The proper format for scientific notation is a × 10ᵇ
where
a = number or decimal.b = integerTherefore, let's evaluate (1.28 × 10⁵) + (1. 13 × 10³)
(1.28 × 10⁵) = 128000
(1. 13 × 10³) = 1130
Hence,
(1.28 × 10⁵) + (1. 13 × 10³) = 128000 + 1130 = 129130
In scientific notation,
(1.28 × 10⁵) + (1. 13 × 10³) = 129130 = 1.2913 × 10⁵
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Out of N$ 36,000, two fifth were kept in a bank . of the remaining, 40% is spent on food and 15% on rent. Find how much money is spent on food and how much on rent.?
Answers
According to the given statement
Money is spent on food =8640
on rent is = 3240
What is Savings?Savings refers to the money that is left over after consumer expenditure is deducted from disposable income during a specific time period. Savings, then, is the net amount of money that a person or household has left over after all bills and commitments have been paid.
Savings are retained as cash or cash equivalents (such as bank deposits), which carry negligible risk of loss but also negligibly low returns. Savings can increase through investing , but doing so necessitates risking some of the money.
According to the given value;
saving = 36000 x 2/5
= 7200 x 2
=14400
=36000- 14400
=21600. left
food = 40/100 x 21600
=40 x 216
=8640
rent = 15/100 x 21600
=15 x 216
=3240
Money is spent on food =8640
and on rent is = 3240
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if the given set of ratios is equivalent, find the unknowns
Answers
The values of the two unknowns x and y are 8 and 32 respectively.
Here, we are given the following set of ratios-
21x, 1/4, y/8
These ratios are all equivalent, this implies-
2/x = 1/4 = y/8
Let us take the first two ratios-
2/x = 1/4
cross multiplying the two we get
2 x 4 = x
8 = x
x = 8
We've found the value of x
Now, let us take the other two ratios-
1/4 = y/8
again, cross multiplying the two we get
y = 4 x 8 y = 32
Thus, the values of the two unknowns x and y are 8 and 32 respectively.
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Your question was incomplete. Check for full content below-
21x, 1/4, 7/8
If the given set of ratios is equivalent, find the unknowns.
Qs. Here are four cards. There is a number on each card. 7 8 4 9 (a) Write down the largest 4-digit number that can be made using each card only once.
Answers
Answer:9874
Step-by-step explanation:
