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stiks02 [169]
3 years ago
15

Given the Functions.

Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

The Answer is: A, B, and E.

Step-by-step explanation:

The given equations are:

f(x) = -2x + 8

g(x) = 6x - 10

Test each option:

a. g(-1) = 6(-1) - 10 = -6 - 10 = -16, True.

b. g(2) = 6(2) - 10 = 12 - 10 = 2, True

c. f(4) = -2(4) + 8 = -8 + 8 = 0, False

d g(6) = 6(6) - 10 = 36 - 10 = 26,  False

e f(2) = -2(2) + 8 = -4 + 8 = 4, True

Hope this helps!! Have an Awesome day!!! :-)

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QUESTION 33

The length of the legs of the right triangle are given as,

6 centimeters and 8 centimeters.

The length of the hypotenuse can be found using the Pythagoras Theorem.

{h}^{2}  =  {6}^{2}  +  {8}^{2}

{h}^{2}  = 36+ 64

{h}^{2}  = 100

h =  \sqrt{100}

h = 10cm

Answer: C

QUESTION 34

The triangle has a hypotenuse of length, 55 inches and a leg of 33 inches.

The length of the other leg can be found using the Pythagoras Theorem,

{l}^{2}  +  {33}^{2}  =  {55}^{2}

{l}^{2}  =  {55}^{2}  -  {33}^{2}

{l}^{2}  = 1936

l =  \sqrt{1936}

l = 44cm

Answer:B

QUESTION 35.

We want to find the distance between,

(2,-1) and (-1,3).

Recall the distance formula,

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the values to get,

d=\sqrt{( - 1-2)^2+(3- - 1)^2}

d=\sqrt{( - 3)^2+(4)^2}

d=\sqrt{9+16}

d=\sqrt{25}

d = 5

Answer: 5 units.

QUESTION 36

We want to find the distance between,

(2,2) and (-3,-3).

We use the distance formula again,

d=\sqrt{( - 3-2)^2+( - 3- 2)^2}

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d=\sqrt{25+25}

d=\sqrt{50}

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Answer: D

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