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3 years ago

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Mathematics

1 answer:

zalisa [80]3 years ago

3 0

<h3>Answer: C) 4</h3>

All points on the blue curve f(x) are shifted up 4 units to get corresponding points on the red curve g(x). For example, the point (0,-3) moves up 4 units to (0,1).

g(x) = f(x)+k

g(x) = f(x)+4

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An observer, whose eyes are 1.98 m above the ground, is standing 39.2 m away from a tree. The ground is level, and the tree is g

lozanna [386]

Answer:

The tree is 16.25 m tall.

Step-by-step explanation:

Attached is a diagram that better explains the problem.

From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.

To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.

Using SOHCAHTOA trigonometric function:

tan(20) = x/39.2

=> x = 39.2 * tan(20)

x = 39.2 * 0.364

x = 14.27m

Hence, the height of the tree is:

(14.27 + 1.98)m

16.25m

The tree is 16.25 m tall.

5 0

3 years ago

What is the answer x+5>23

olga2289 [7]

18<x is the answer you are looking for. Glad to help.

3 0

3 years ago

a pack of toilet paper was originally $4.50 , it now cost $6.75. What is the solution to this problem?

Nitella [24]

2.25 is correct have a good day

5 0

2 years ago

Please help! Im begging!

bekas [8.4K]

Alright, so we know that there are 7 days a week with 24 hours per day.

24x7= 168 hours a week.

Convert the problem to an equation using the percentage formula: P% * X = Y.

Let's take the 40% that is Sleep and use it in the percentage formula with the 168 hours.

40%x168= roughly 67 hours.

Hope this helped!

7 0

3 years ago

Rewrite the expression. Use an exponent, rather than repeated multiplication. (-4) (-4). Then simplify. Show work.

MakcuM [25]

${4}^{2}$
it is four to the power of two

7 0

3 years ago