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3 years ago

Help on 9 & 10 please!

Mathematics

1 answer:

Mandarinka [93]3 years ago

3 0

Step-by-step explanation:

9. x and z are equal. y+z=90

148-x=180 x+148 are supplementary

-148 -148 Subtract 148 from both sides to isolate x

x=32 degrees

z=32 degrees b/c x and z are equal

y+z=90 y and z are complementary

y+(32)=90 Substitute 32 in for z

-32 -32

y =58 degrees

10. (4x-25)=(2x+7) B/c of the bisection, the two angles are equal.

4x-25 =2x+7 Remove parenthesis

-2x -2x Subtract 2x from both sides

2x-25 = +7

+25 +25 Add 25 to both sides to isolate x

2x = 32

/2 /2 Divide both sides by 2 to isolate x

x = 16

(4(16)-25)+(2(16)+7)=78 degrees Substitute 16 into the equation, this time adding the values instead of setting them equal to get the angle measure requested.

11. (6x-47)+(x+4)=90 Angles that are complementary add up to 90 degrees

7x-43 =90 Add like terms

+43 +43 Add 43 to both sides to isolate x

7x =133

/7 /7 Divide both sides by 7 to isolate x

x =19

((19)+4)=23 degrees Substitute x into the angle measure requested

12. 180=2x-9+x Use the words to help you determine what each value is.

180=3x-9 Add like terms

+9 +9 Add 9 to both sides to isolate x

189=3x

/3 /3 Divide both sides by 3 to isolate x

63=x

2(63)-9=177 degrees Substitute 63 into x to find the requested angle measure.

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1) Zero based on (-16·t - 2) is t = -1/8 second

2) Zero based on (t - 1) is t = 1 second

Step-by-step explanation:

The given functions representing the height of the beach ball the child throws as a function of time are;

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The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero

In the function of the question, we have;

y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The above equation can be written as follows;

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Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0

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