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nevsk [136]
3 years ago
8

Amber drove to her uncle's house. The graph shows the distance she travelled over time.

Mathematics
1 answer:
Arlecino [84]3 years ago
6 0
The graph seems cut off.
From what I could read, Amber drove roughly 450 miles in 11 hours.
450 ÷ 11 = 40. 9090909091 = 40mph.
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27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8
Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

27^x=9^{x-4}

Note that

27=3^3\\ \\9=3^2,

then

27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}

Rewrite the equation as

3^{3x}=3^{2(x-4)},

then

3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8

4 0
3 years ago
What is 2 times 2 2/5
Komok [63]

Answer:

4.8 or 4 4/5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the domain of the function.
timurjin [86]

When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.

u(x) ≥ 0.

\sqrt{9x+27} \geq  0

9x + 27 ≥ 0 by squaring both sides

9x ≥ -27

x ≥ -3

So the domain of the function is when x ≥ -3 is true.

5 0
4 years ago
Carmen measured a room to be 10 1/2 feet by 12 5/8 feet. what is the area of the room written as a decimal?
kipiarov [429]

Area = l * w

A = 10 1/2 * 12 5/8

A = 21/2 * 101/8 = 2121/16

A = 132.56 ft²


8 0
3 years ago
For the △ACD is shown below, select all the true statements. Lengths are rounded to the nearest tenth.
Nina [5.8K]

Answer:

1. No

2. No

3. Yes

4. Yes

Step-by-step explanation:

The diagram has been attached

The total angle in a triangle is 180°

<CAD=45°

<ACD=90°

Therefore <ADB=45°

1. ∠ADB = 30° no

ADC = 90 - 45 = 45

∠BDC = 90 - 65 = 25

∠ADB = 45 - 25 = 20

2.△ABD ∼ △ACD no going

by law of sines

3.CD = 33.7 centimeters => yes

4.BD = 37.2 centimeters => yes

3 0
3 years ago
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