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3 years ago

Kyle is creating a frame for a model car. He begins by piecing two rods together, as shown in the diagram. Justify why AB=10.

Mathematics

1 answer:

Troyanec [42]3 years ago

7 0

Answer:

The first one

Step-by-step explanation:

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Find the requested function value.

liq [111]

Given:

Given that the functions $f(x)=9 x+5$ and $g(x)=-4x^2-6x+3$

We need to determine the value of the function $(f \circ g)(-9)$

First, we shall determine the value of the function $(f \circ g)(x)$

The value of the function $(f \circ g)(x)$ :

Let us determine the value of the function $(f \circ g)(x)$

Thus, we have;

$(f \circ g)(x)=f[g(x)]$

$=f(-4x^2-6x+3)$

$=9(-4x^2-6x+3)+5$

$=-36x^2-54x+27+5$

$(f \circ g)(x)=-36x^2-54x+32$

Thus, the value of the function is $(f \circ g)(x)=-36x^2-54x+32$

The value of the function $(f \circ g)(-9)$ :

The value of the function $(f \circ g)(-9)$ can be determined by substituting x = -9 in the function $(f \circ g)(x)=-36x^2-54x+32$

Thus, we have;

$(f \circ g)(-9)=-36(-9)^2-54(-9)+32$

$=-36(81)-54(-9)+32$

$=-2916+486+32$

$(f \circ g)(-9)=-2398$

Thus, the value of the function $(f \circ g)(-9)$ is -2398

Hence, Option A is the correct answer.

4 0

3 years ago

4x/3+3=x-2 value of x ?

Gekata [30.6K]

Answer:

x = - 15

Step-by-step explanation:

Given

$\frac{4x}{3}$ + 3 = x - 2

Multiply through by 3 to clear the fraction

4x + 9 = 3x - 6 ( subtract 3x from both sides )

x + 9 = - 6 ( subtract 9 from both sides )

x = - 15

6 0

3 years ago

Read 2 more answers

Which is greater? 79.47mi,54.28mi,65.5mi,98.43mi

Blababa [14]

Answer:

The greater value of the given set is 98.43.

Explanation:

Here the units of the distance given for all the data is miles(mi).

So, the greater value is that value which has higher magnitude.

Values are 79.47,54.28,65.5 and 98.43

Values in their increasing order is given by

54.28 < 65.5 < 79.47 < 98.43

Values in their decreasing order is given by

98.43 > 79.47 > 65.5 > 54.28

So, the greater value of the given set is 98.43.

5 0

4 years ago

If the clock is held at a constant 0.0ºc over a period of 24 hours, how much longer or shorter does the clock measure compared t

NARA [144]

If the clock is held at a constant 0.0ºc over a period of 24 hours, the clock will be exactly the same as the perfect clock because it is at a constant 0.0 ºc for 24. Meaning there is no deviation on its reading

3 0

4 years ago

Please help me with this question.

Hunter-Best [27]

Answer:

b. Shift left 3 units

Step-by-step explanation:

You're given

y = √(x + 3)

y = √(x - (-3))

y = √(x - amount_shifted)

amount shifted = -3

so shifted 3 units and the negative means it's shifted to the left

8 0

4 years ago