2 years ago

Equavlent to (-18x-12)-13x+17

2 answers:

6 0

Step 1. Simplify
-18x - 12 - 13x + 17
Step 2. Combine like terms
(-18x - 13x) + (-12 + 17)
Step 3. Simplify
Answer = -31x + 5

Setler79 [48]2 years ago

3 0

-31x+5 is the same as (-18x-12)-13x+17

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8/9 divided by 7/5 x 3/16

nadya68 [22]

This might be wrong but I got 120/1008

4 0

2 years ago

Lucia knows the fourth term in a sequence is 55 and the ninth term in the same sequence is 90. Explain how she can find the comm

Andreyy89

Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
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4 0

3 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed

Olegator [25]

Answer:

The length of shadow decrease at 0.48 m/s.

Step-by-step explanation:

The distance of man from building = x

Thus initially, x = 12

It is given that dx/dt= -1.3 m/s

Let the shadow height = Y

Now solve for the $dy/dt$ when x=4

from the diagram (triangle) it can be seen similar triangles with similar base/height ratios.

$\frac{2}{12-x} = \frac{y}{12} \\Y = \frac{24}{12 - x} \\ \frac{dy}{dt} = \frac{24}{(12-x)^{2}} \times \frac{dx}{dt} \\at x=4, dy/dt \ becomes: \\\frac{24}{(12-4)^2} \times -1.3 \\= -0.48 m/s$