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Nesterboy [21]
2 years ago
7

5(1+4K)+7k=4(7k+2) Help

Mathematics
1 answer:
stepladder [879]2 years ago
5 0

Answer:

k = -3

Step-by-step explanation:

1) Simplify

5+20k+7k=28k+8

2) Combine the k's

5+27k=28k+8

3) Subtract 27k on both sides

5=k+8

4) Subtract 8 on both sides

-3=k or k= -3

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How is finding the distance between two numbers on the number line like finding the distance between two numbers?
NemiM [27]

Answer:

Finding the distance between two numbers on the number line is like finding the distance between two numbers because we have to subtract.

Step-by-step explanation:

Hope this helps :)

7 0
3 years ago
What is the radius of a circle in which a 30° arc is 2π inches long?
son4ous [18]

First of all, let's recall that the full circumference is

C = 2\pi r

Now, since 30 is one twelfth of 360, a 30° arc will be one twelfth of the whole circumference. So, if you call the arc length A, you have

A = \cfrac{C}{12} = \cfrac{2 \pi r}{12} = \cfrac{\pi r}{6}

Since we know the arc length, we can build and solve the following equation:

\cfrac{\pi r}{6}  = 2\pi \iff \cfrac{r}{6} = 2 \iff r = 12

8 0
3 years ago
(9x – 9)<br> (3x + 9)°/B<br> Find the measure of ABC
katrin2010 [14]

Answer:

<ABC = 54 degrees

Step-by-step explanation:

Taking the sum of angle on the straight line ABD as 180 degrees

3x+9 + 9x - 9 =180

12x = 180

x = 180/12

x =  15 degrees

Since <ABC = 3x+9 (vertically opposite angles)

<ABC = 3(15)+9

<ABC = 45+9

<ABC = 54 degrees

5 0
3 years ago
What is the median for 9, 37, 39, 13
8090 [49]

Answer:

i'm not sure

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Give the equation of the circle centered at the origin and passing through the point (0,-8)
Norma-Jean [14]

Answer:

The answer to your question is x ² + y² = 64

Step-by-step explanation:

Process

1.- Find the length of the radius

C (0, 0)

P (0, -8)

d = \sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}  }

d = \sqrt{(0- 0)^{2}+ (-8 - 0)^{2}  }

d = \sqrt{64}

d = 8

2.- Find the equation of the circle

    (x - h)^{2} + (y - k)^{2} = r^{2} \\

h = 0   and k = 0

    (x - 0)^{2} + (y - 0)^{2} = 8^{2}

            x² + y² = 64      

5 0
3 years ago
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