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Ulleksa [173]
3 years ago
12

Rewrite in simplest terms: 4 (d+9) -8 (-3d-3)

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

28d + 60

Step-by-step explanation:

4d + 36 + 24d + 24

28d + 60

First I used distributive property to expand. Then I rewrote my answer into simplest form possible. As we know that two negatives equal postive which is what I did to get the correct answer.

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A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position
Umnica [9.8K]

Answer:

height = 20.5068 m    

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5  { since the wheel starts at 6 o clock }

midline  C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5  

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5    

height = -17.5cos( 4.71238898) + 20.5    

height = -17.5 × cos( 4.712) + 20.5  

height = -17.5 × -0.00038898 + 20.5                  

height = 0.0068 + 20.5  

height = 20.5068 m    

8 0
2 years ago
Which is the length of x? 1 7/9 2 1/2 1 1/4 1 3/5
trapecia [35]

Answer:

option D.  x = 1 3/5

Step-by-step explanation:

ratio and proportion

<u> 4 </u> = <u> x </u>

5     2

X multiply:

5x = 4(2)

5x = 8

x = 8 / 5

x = 1 3/5

5 0
3 years ago
Read 2 more answers
Help please I need someone to answer this
Assoli18 [71]

Answer:

Step-by-step explanation:

1). 8(5)-8+10

40-8+10

32+10

42, so answer is C

2). 9/5(42)+32

9(8.4)+32

75.6+32

107.6°F, so answer is D

8 0
2 years ago
Read 2 more answers
What is an equation of the line that passes through the points (1, -7) and (-4, 8)?
melomori [17]
<h2>Answer:    y + 7  =  -3 (x - 1)</h2>

Step-by-step explanation:

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)  

                                       

                                          =  (- 7 - 8) ÷ ( 1 - (- 4))

                                         =    - 15  ÷  5

                                         =  - 3

We can now use the point-slope form to write the equation for this line:

        y - y₁ = m(x - x₁) where (x₁ , y₁) = (1, -7)

             y - (-7) =  -3 ( x  -  1)

              y + 7  =  -3 (x - 1)

3 0
3 years ago
Your friend takes a job cleaning up a neighbors yard and mowing the grass, and asks you and two other friends to help. Your frie
nadezda [96]

Answer:

$100

Step-by-step explanation:

when you read the context you have your friend which is (1), than she asks (You (1) and (Two (2) other friends to help.

Add

Friend + You + Two other friends= 4

Now Divide 100/4= 25

hope this helps

3 0
3 years ago
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