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3 years ago

The radius of a circle is 3 kilometers. What is the circle's circumference?

Mathematics

1 answer:

lukranit [14]3 years ago

8 0

Answer:

18.84 km

Step-by-step explanation:

The formula for the circumference is 2πr. 6.28*3=18.84

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Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for

ValentinkaMS [17]

Point-slope form of equation is: $y - 7 = -15(x-1)$

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15$

Point-slope form is given by:

$y-y_1 = m(x-x_1)$

Putting the value of slope

$y-y_1 = -15(x-x_1)$

We can put any one of two given points in the equation to find the final form of point-slope form

Putting (1,7) in the equation

$y - 7 = -15(x-1)$

Hence, point-slope form of equation is: $y - 7 = -15(x-1)$

Reducing and simplifying

$y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8$

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

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8 0

3 years ago

Simplify -9+5(y+3)-2y

JulijaS [17]

3y+6 is the answer

-9+5(y+3)-2y
-9+5y+15-2y
-9+3y+15
=3y+6

8 0

3 years ago

Find the smallest zero of f(x+5)

podryga [215]

ANSWER

1. k=13

2. x=-10

EXPLANATION

The given function is

$f(x) = {x}^{2} + 3x - 10$

To find f(x+5), plug in (x+5) wherever you see x.

This implies that:

$f(x) = {(x + 5)}^{2} + 3(x + 5) - 10$

Expand:

$f(x) = {x}^{2} + 10x + 25+ 3x + 15- 10$

Simplify to obtain

$f(x) = {x}^{2} + 13x + 30$

We now compare with,

$f(x) = {x}^{2} + kx + 30$

This implies that:

$k = 13$

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.

${x}^{2} + 13x + 30 = 0$

${x}^{2} + 10x + 3x + 30 = 0$

$x(x + 10) + 3(x + 10) = 0$

$(x + 3)(x + 10) = 0$

$x = - 10 \: or \: x = - 3$

The smallest zero is -10.

7 0

3 years ago

Read 2 more answers

Solve for c c^2+10c+16

miv72 [106K]

im using my ti84 and i got 16 c ti the power of 2 plus10cplus16+16

3 0

3 years ago

) Kim made $157.50 for 7 hours of babysitting. What is her hourly pay?

goldenfox [79]

Answer:

$22.50 I believe...

Step-by-step explanation:

157.50 divided by 7

7 0

3 years ago

Read 2 more answers