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Anni [7]
3 years ago
9

Dilate the figure by the scale factor. Then enter the new coordinates. K = 2

Mathematics
1 answer:
barxatty [35]3 years ago
7 0

Answer:

A = (-6, 4)

B = (2,2)

C =  (-2, 2)

Step-by-step explanation:

If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor  Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;

A = (2(-3), 2(2)) = (-6, 4)

B = (2(1),2(1)) =(2,2)

C = (2(-1), 2(-1)) = (-2, 2)

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mylen [45]

Answer:

  a) linear. Cost per minute is a constant.

  b) f(x) = 40 -0.15x

  d) f(100) = 25. The remaining value is $25 after using 100 minutes.

Step-by-step explanation:

a) Since the cost per minute is a constant, the remaining dollar value of the phone decreases by the same amount for each minute used. The cost as a function of minutes used is a linear function with a constant rate of change.

__

b) The value starts at $40 and decreases by $0.15 for each increment of x (minutes used). The function can be written as ...

  f(x) = 40 -0.15x

__

d) Put 100 where x is in the function definition and do the arithmetic.

  f(100) = 40 -0.15×100 = 40 -15

  f(100) = 25

According to the variable and function definitions, x=100 means 100 minutes have been used; f(x) = 25 means the remaining value of the phone is 25 dollars.

  f(100) = 25 means the phone's remaining value is $25 when 100 minutes have been used.

5 0
3 years ago
.prove that cos (90-A).sinA + sin(90 - A).cosA = 1 ​
pav-90 [236]

Answer:

See Explanation

Step-by-step explanation:

cos (90-A).sinA + sin(90 - A).cosA = 1  \\  \\ LHS = cos (90-A).sinA + sin(90 - A).cosA \\  \\ = sinA.sinA + cosA.cosA\\  \\ = sin ^{2} A + cos^{2} A \\  \\  = 1 \\  \\=RHS\\\\ reason \\ cos (90- \theta) = sin \theta \\ sin (90- \theta) = cos \theta \\ sin ^{2}  \theta + cos^{2}  \theta = 1 \\  \\ thus \: proved \\

4 0
3 years ago
A baker lives 11 blocks away from the store. The baker walks to the store and back, taking a two block teacher each way. How man
Alisiya [41]
22 blocks is the answer
6 0
3 years ago
If PQ is 75 meters what is the perimeter of the triangular garden in meters
valkas [14]

Answer:

180 meters

Step-by-step explanation:

You first need to find the length of each line:

PQ= 75 meters

PR= 60 meters

RQ= 45 meters

You then add all of the sides together.

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4 0
3 years ago
Solve for b1 from the formula: A=1/2h(b1+b2)
Andrews [41]

Answer:

B1 = \frac{2A-(h*B2)}{h}

or

B1=\frac{2A}{h}  - B2

Step-by-step explanation:

FOIL

(1/2)h*B1+ (1/2)h*B2=A

subtract the B2 term

(1/2)h*B1 = A- (1/2)h*B2

multiply by 2

h*B1 = 2A - h*B2

divide by h

B1 = \frac{2A-(h*B2)}{h}

or

B1=\frac{2A}{h}  - B2

5 0
3 years ago
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