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Agata [3.3K]
3 years ago
13

PLEASE HELP !!!!!!!!!!

Mathematics
1 answer:
Volgvan3 years ago
3 0

Answer:

C.13

Step-by-step explanation:

D is a midpoint, which means that AD=DB= 1/2 AB = 1/2 (24) = 12

Using Pythagorean theorem we know that CD^2+DB^2=CB^2

That means that 5^2+12^2=CB^2

      25+144=169

169=13^2

CB=13

a=CB=13

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Write an equation in point-slope form of the line that passes through the point (9,0) and has a slope of m=-3 .
aksik [14]

Answer:

y =  - 3x + 27

Step-by-step explanation:

The standard form for the equation of the line is

y = mx + c

Recall that:

y = 0 \:  \:  \: x = 9 \:  \:  \: m =  - 3 \\ y = mx + c \\ 0 =  - 3(9) + c \\ 0 =  - 27+ c \\ 27 = c

Therefore the equation of the line is:

y = mx + c \\ y =  - 3x + 27

5 0
2 years ago
What is ∛2197? Explain how you got your answer.
user100 [1]

Answer:

13

Step-by-step explanation:

We need to write our answer in exponential form. Ask yourself the question, "What times itself 3 times will give you 2197?" Your answer is 13^{3}. This will go inside of your cube root. You now have \sqrt[3]{13^{3} }. Since there's a power of 3 and a cube root, those cancel each other out, and your answer is 13.

5 0
3 years ago
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Anastaziya [24]

Answer:

Fraction: 23/100

Decimal: .23

Percent: 23%

Step-by-step explanation:

Because there are 23 squares shaded out of 100.

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2 years ago
An actor invests some money at 7%, and $48000 and more than twotimes the amount of 9%. The total annual interest earned from the
forsale [732]

Answer:

At 7% $54,000

At 9% $156,000

Step-by-step explanation:

Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%

We know that:

7% = 0.07 & 9% = 0.09

So we can write the interest equation as follows:

0.07x + 0.09 (2x + 48000) = 17820

0.07x + 0.18x + 4320 = 17820

0.25x + 4320 = 17820

Subtracting 4320 from both sides of the equation we get:

0.25x = 17820 - 4320

0.25x = 13500

Dividing both sides of the equation by 0.25 we get:

x = 13500 / 0.25

x = $54,000 invested at 7%

&

2 x 54000 + 48000

= $156,000 invested at 9%

Hence the amount invested at 7% is $54,000.

& the amount invested at 9% is $156,000.

5 0
3 years ago
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