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4 years ago

PLEASE QUICKLY HELP

Mathematics

1 answer:

harkovskaia [24]4 years ago

3 0

Answer:

k = 4

Step-by-step explanation:

From the graph, it is clear that (4,10), (2,0) points are on the graph of function f(x).

Since, it is a straight line then equation of f(x) is given by

$\frac{y-10}{10-0} =\frac{x-4}{4-2}$

⇒ $\frac{y-10}{5} =x-4$

⇒ y = 5x - 10.

Hence, f(x) = 5x - 10

Given that g(x) = f(kx) = 5kx - 10 and g(x) passes through (1,10) point.

So, 10 = 5k - 10

⇒ 5k = 20

⇒ k = 4 (Answer)

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3 years ago

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3 years ago

Anybody got the answer to this

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3 years ago

Read 2 more answers

Find the area of the trapezoid. Leave your answer in simplest radical form.

sveticcg [70]

Answer:

64√3 ft²

Step-by-step explanation:

The short leg of the triangle has length (8 ft)(cos 60°), or (8 ft)(1/2), or 4 ft.

The long leg (represented by the dashed line) is (8 ft)(sin 60°), or

(8 ft)(√3/2), or 4√3. This is also the width of the horizontal trapezoid.

The area of this horizontal trapezoid is:

(sum of horizontal sides)

A = ------------------------------------- * (width)

Here, the area is:

(18 ft + (18 ft - 4 ft)

= ------------------------------------- * (4√3)

32 ft

= ----------- * 4√3 = 64√3 ft²

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3 years ago