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Degger [83]
3 years ago
9

For the function f(x) = 2 - 3x, find f(-4). Options are in the picture.

Mathematics
1 answer:
Kitty [74]3 years ago
4 0
You just have to plug in -4 into
f(x) = 2 - 3x
This implies that,
f( - 4) = 2 - 3( - 4)


f( - 4) = 2  + 3(4)
f( - 4) = 2 + 12
f( - 4) = 14
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3 years ago
A41.0m guy wire is attached to the top of a 32.8 m antenna and to a point on the ground. How far is the point on the ground from
Setler79 [48]

Answer:

Step-by-step explanation:

A right angle triangle is formed.

The length of the guy wire represents the hypotenuse of the right angle triangle.

The height of the antenna represents the opposite side of the right angle triangle.

The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.

To determine h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

41² = 32.8² + h²

1681 = 1075.84 + h²

h² = 1681 - 1075.84 = 605.16

h = √605.16

h = 24.6 m

To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos θ = 24.6/41 = 0.6

θ = Cos^-1(0.6)

θ = 53.1°

7 0
3 years ago
Karen is seven years older than suzanne.Four years ago,karen was twice as old as suzanne was.How are they now?
EleoNora [17]
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Put\ the\ value\ of\ S\ to\ (1):\\\\K=11+7\\\boxed{K=18}\\\\\left\{\begin{array}{ccc}K=18\\S=11\end{array}\right\\\\Answer:\ Karen\ does\ 18\ years\ and\ Susanne\ does\ 11\ years.
3 0
3 years ago
Read 2 more answers
Triangle A B C is shown. Angle A C B is a right angle. The length of the hypotenuse is 20.
kherson [118]

Answer:

The length of BC is needed because it is the side opposite ∠A.

Step-by-step explanation:

Given the right angles triangle as shown in the attachment, we can get sin(A) without using Pythagoras theorem. Instead we will use SOH CAH TOA trigonometry identity.

According to SOH:

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Based on the formula, we will need to get the opposite side of the triangle which is length BC for us to be able to determine sinA since the hypotenuse is given.

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3 years ago
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Answer:

Step-by-step explanation:

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x + 1200 - 2x = 1000

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Weight of the bottle is 200 g.

6 0
3 years ago
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