Dilation involves changing the size of a shape.
The true statement is that the locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
The given parameters are:
[tex]k =3[/tex] --- the scale factor
[tex]E = (-4,0)[/tex]
[tex]F =(0,2)[/tex]
Multiply the coordinates of point E and F by the scale factor (k), to determine the new coordinates of E and F.
[tex]E' = E \times k[/tex]
[tex]E' = (-4,0) \times 3[/tex]
[tex]E' = (-12,0)[/tex]
[tex]F' = F \times k[/tex]
[tex]F' = (0,2) \times 3[/tex]
[tex]F' = (0,6)[/tex]
Given that line g is represented by points E and F; line g' would be represented by points E' and F'
So, both lines would be parallel.
Hence, the true option is (d)
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Answer:
The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
Step-by-step explanation:
How are √25 and √-25 different in the terms of a solution for both? *
Answer:
For [tex]\sqrt{25}[/tex] it will be plus or minus [tex]\sqrt{5}[/tex]
For [tex]\sqrt{-25}[/tex] it will be plus or minus [tex]\sqrt{5i}[/tex]
Step-by-step explanation:
Well for [tex]\sqrt{-25}[/tex] it will be 5i
Because i = -1
The height, above the ground, of a block on a vertical spring is a sinusoidal (trigonometric) function of time. In the interval from time 2.1 seconds to time 2.7 seconds, the block's height decreases from its maximum of 48 inches to its minimum of 30 inches. Which function h(t) could model the block's height in inches above the ground at time t seconds?
The cosine function that could model the block's height in inches above the ground at time t seconds is:
h(t) = 9cos(1.67π(x - 2.1)) + 39.
What is the cosine function?The cosine function is defined as follows:
g(x) = acos(bx+c)+d.
The coefficients have these following roles:
a: amplitude.b: The period is of 2pi/B.c: phase shift.d: vertical shift.In this problem, we have that the maximum value is of 48 and the minimum value is of 30(difference of 18), hence the amplitude is given as follows:
2a = 18
a = 9.
A standard cosine function with amplitude 9 would vary the between -9 and 9, while this one varies between 30 and 48, hence the vertical shift is of d = 39.
The minimum and maximum values form half the period, hence:
π/B = 2.7 - 2.1
B = π/0.6
B = 1.67π.
The maximum value in the standard function is at x = 0, while at this function is at x = 2.1, hence the phase shift is of 2.1 units to the right, that is, c = -2.1.
Hence the cosine function is:
h(t) = 9cos(1.67π(x - 2.1)) + 39.
This function is graphed at the end of the answer, showing that the minimum and the maximum values are as desired.
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What is the answer to:
1/6(30x+18)≥13
Answer:
x ≥ 2
Step-by-step explanation:
1/6(30x+18) ≥ 13
Distribute the left side
5x + 3 ≥ 13
Subtract 3 from both sides
5x ≥ 10
Divide both sides by 5
x ≥ 2
2/5 equals x over 15 what is X
Tina had $17. She bought candy that cost $0.78. Then, her mom gave her $6.76 three and a half times. How much money does she have now?
Answer:
$39.88
Step-by-step explanation:
She started with $17
spent $0.78 so
17-0.78 = $16.22
then she got $6.76 3.5 times so
6.76*3.5 = 23.66 and that's what her mom gave her
23.66 + 16.22 = 39.88
She now has a total of $39.88
the answer would be: 39.88
because
17-0.78=16.22
and
6.76*3.50=23.66
so
23.66+16.22=39.88
hope this helps
have a fantastic day/night
Which point represents the approximate location of 90 ? A) point A B) point B C) point C D) point D
Answer:
C
Step-by-step explanation:
I took the test
WILL GIVE BRAINLIEST, Can somebody please help me with this question?
Answer:
d
Step-by-step explanation:
f(x)-g(x)=2x²+4x-6-[2x²+2x+8]=2x²+4x-6-2x²-2x-8=2x-14
1 and 1/5- 1/3=
please give the right answer
Answer:
87/100
Step-by-step explanation:
just need the bottom answer I’ll give Brainly please!
Answer:
9# | 914
Step-by-step explanation:
I gotchu fam!
Stem and leaf plots separate the tens place (the stem) from all the ones places (the leaves) in a data set. Therefore, for the given data set, all the numbers with the 9 tens place are:
99, 91, and 94
Therefore, the stem and leaf plot would be
9# | 914
Elena and jade are 12 miles apart on a path when they star moving toward each other . Elena runs at a constant speed of 5 miles per hour , and jada wake at a constant speed of 3 miles per hour. how long does it take until Elena and jada meet?
Answer:
1.5 hrs
Step-by-step explanation:
In the triangle below, If Sin B =5/13, Find the Tan A
Answer: tgA=12/5
Step-by-step explanation:
[tex]\displaystyle\\0^0 < B < 90^0\\sin^2B+cos^2B=1\\sin^2B+cos^2B-sin^2B=1-sin^2B\\cos^2B=1-sin^2B\\cos^2B=1-(\frac{5}{13})^2\\\\cos^2B=1-\frac{5^2}{13^2} \\\\cos^2B=1-\frac{25}{169} \\\\cos^2B=\frac{1*169-25}{169} \\\\cos^2B=\frac{144}{169}\\\\\sqrt{cos^2B} =\sqrt{\frac{144}{169} } \\\\cosB=б\sqrt{\frac{12^2}{13^2} } \\\\cosB=б\sqrt{(\frac{12}{13})^2 } \\\\cosB=б\frac{12}{13} \\\\As,\ 0^0 < B < 90^0\\\\cosB=\frac{12}{13} \\\\[/tex]
[tex]\displaystyle\\tgB=\frac{sinB}{cosB}\\\\ tgB=\frac{\frac{5}{13} }{\frac{12}{13} } \\\\tgB=\frac{5}{12} \\\\tgA=tg(90^0-tgB)\\\\tgA=ctgB\\\\tgA=\frac{1}{tgB} \\\\tgA=\frac{1}{\frac{5}{12} }\\\\ tgA=\frac{12}{5}[/tex]
0.5 divided by 10 please help me
Answer:
0.05
Step-by-step explanation:
Wendy stops running
A.Speed
B.Velocity
C.Acceleration
Answer:
i think is c tell me if im right
could you guys help me with all 3 pls
Answer:
1. -5×-5×-5=125
2. 35
3. 22
Step-by-step explanation:
I know the first two are right but unsure about last one.
√7.5×√3.5 step and answer
Answer:
√105/2
Step-by-step explanation:
Given the surd expression √7.5×√3.5, this can also be expressed as;
√7.5×√3.5
= √75/10 × √35/10
= √(75×35)/10×`10
=√105×25/100
= 5√105/√100
=5√105/10
=√105/2
Hence the required expression a √105/2
The height above ground of a cannon is a function of the time since it was shot.
Question: When time equals 0, why is the height of the cannon ball not equal to 0? Describe the domain of this function. Describe the range.
At t = 0 the height is not zero because the cannonball is at the end of the barrell of the cannon.
If we define H as the maximum height and T as the time when the cannonball hits the ground, the domain and range are:
domain: [0, T]
range: [0, H]
When time equals 0, why is the height of the cannon ball not equal to 0?
The height is modeled by the graphed parabola.
The height equal to zero would mean that the cannonball is on the ground. Now, at t = 0 we assume that the cannonball is leaving the barrel of the cannon (which is at some given height above the ground). This is why at t = 0 the height of the cannonball is not equal to 0.
Now we also want to describe the domain and range of the graphed function. The domain is the set of the inputs of the function, we can see that it goes from t = 0, when the cannonball is shooted, to a given time T which is when the cannonball reaches the ground.
For the range (the set of the outputs) we can see that it will go from 0 (the ground) to the maximum value that we can see in the graph, a height H.
So, domain: [0, T]
range: [0, H]
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I need help with this
Answer:i think the anwser is b
Step-by-step explanation:
please help me I do not understand what to do
Answer:
3 7/12
Step-by-step explanation:
There are 12 inches in 1 feet. So 43 inches would be 43/12=3 7/12 feet.
A population grew from 100,000 in 1990 to 124.000 in 2000. What was the percent of increase?
Answer:
24%
Step-by-step explanation:
What is the value of k?
–36 = k – 6
Answer:
-30
Step-by-step explanation:
-36+6=k
-30=k
k= -30
105 is divisible by what 2 5 10
Spencer needs 2 gallons of paint to create a mural. He has 3/8 gallon of yellow and 1/4 gallon of blue paint. Drag amounts of paint Spencer can add to the paint he already has to make exactly 2 gallons of paint. HOW MANY 1/8 DO I PUT AND HOW MANY 1/4 DO I PUT?
Answer:
He currently has 5/8 of a gallon. He needs 11/8 more paint to finish his mural.
Add 11/8 gallons or 5/4 and 1/8 of a gallon.
Step-by-step explanation:
Answer:
1 of 1/8 and 5 of 1/4
Step-by-step explanation:
3/8 times 1/4 is 11/8 and 5 of 1/4 is 10/8 and plus 1/8 equals 11/8
Match each function with the correct translation of the parent function f(x) = |x|.
f(x)= |x|-4
f(x) = |x+ 41
f(x) = |x| +4
f(x) = |x-41
vertical translation up 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation down 4 units
The translation of the parent function f (x) = | x | depends upon whether x value has been changed of whether the y value has been changed.
We are given the parent function as:
f (x) = | x |
Now, we need to match the functions with their correct translations.
For the function f (x) = | x | - 4:
This can also be written as:
f (x) + 4 = | x |
So, the translation will be vertical translation up 4 units.
For the function f (x) = | x + 4 | :
The translation for this will be horizontal translation right 4 units as x will increase by 4 units.
For the function f (x) = | x | + 4:
This can also be written as:
f (x) - 4 = | x |
So, the translation will be vertical translation down 4 units.
For the function f (x) = | x - 4 | :
The translation for this will be The translation for this will be horizontal translation right 4 units as x will increase by 4 units as x will decrease by 4 units.
Therefore, we get that, the translation of the parent function depends upon whether x value has been changed of whether the y value has been changed.
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Given the following graph...
A. Evaluate f(4)
B. Solve for f(x)=2
Your question was incomplete. Please refer below for the graph.
We need to know about graph of a function to solve this problem. The answer to (A) is f(4)= -3 and (B) for x= f(x)=2 solutions are -5 and -1.
In a graph of a function, the input values are along the x-axis and the output values are along the y-axis. At any point, the x-coordinate gives the value that is entered and the y-coordinate gives the result. For any point lying on the y-axis, x-coordinate is 0 and for any point lying on the x-axis, y-coordinate is 0. In the given graph we need to first find the value of f(4). For this we see at what point on the graph a vertical line from x=4 intersects with the line. The intersection point is (4,-3), so f(4)=-3. For part (B) we need to solve for f(x)=2, we have to draw a horizontal line from y=2 to see where it intersects with the graph, here we find two intersection points (-5,2) and (-1,2) so we have two solutions for f(x)=2, -5 and -1.
Therefore we evaluated f(4) to get -3 and we got two solutions for f(x)=2, -5 and -1.
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A function, fix), models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these
describes why f(x) can be considered a linear function?
I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount.
II. The function grows by equal factors every minute.
III. The slope of the function is constant.
a. I only
b. I and III only
c. II and III only
d. I, II, and III
Answer: the answer is C trust me bye
Step-by-step explanation:
What angle would you use to represent 40 red cars out of 90 cars in total on a pie chart?
. 40 degree
. 4 degree
. 160 degree
90 degree
Answer:
4
Step-by-step explanation:
i just know I took the test and I choose 90 and got it wrong
What is the arithmetic mean of the following numbers?
10, 6, 4, 4, 6, 4, 1
Answer:
5
Step-by-step explanation:
b = [tex]\frac{(a+c)}{2}[/tex]
10+6+4+4+6+4+1 = 35.
35/7 = 5
b = 5
The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. Its DVD players sell for $380, and TVs sell for $530.
Write an inequality in standard form that describes this situation. Use the given numbers and the following variables.
Answer:
380d + 530t > 21,000
Step-by-step explanation:
Each DVD costs $380, we can represent that as:
380d
Each TV costs $530, we can represent that as:
530t
We add these together to find the total profit:
380d + 530t
The manager predicts that whatever the total profit is, will be more than $21,000. So, we represent that as this:
380d + 530t > 21,000
And that is the final answer.
I hope this helps!!
- Kay :)
Choose the equivalent expression
(8¹⁰)²
A. 8²⁰
B. 8¹²
C.8⁸
D. 8⁵
Mary turns the water on for her bath at 8:00pm. The water runs at 8.2 liters per minute. After 3 minutes, Mary's little brother pulls the plug on the bathtub and the water drains out at 5 liters per minute. To the nearest minute, when will there be 80 liters in the bathtub