Write a linear expression in simplest form to represent the perimeter of the triangle.

The circumference of a circle is 6 inches. What is the area of the circle?

Answer:

(B) 9π in²

Step-by-step explanation:

I’m going to assume that by 6 inches you meant 6π inches.

If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is $2\pi r$ ).

$6\div2=3$

So the radius is 3.

Now that we know the radius, we can find the area by using the equation $\pi r^2$ .

$\pi 3^2\\\pi9\\9\pi$

Hope this helped!

3 0

3 years ago

Read 2 more answers

Evaluate 3ab for a=2 and b=3

vampirchik [111]

Answer:

18

Step-by-step explanation:

For this problem, we will simply plug in the values of a and b into the respective variables in the expression 3ab to "evaluate" the expression.

a = 2; b = 3

3ab

Note, that when variables like a and b are smashed with a constant, the use of multiplication is in play.

3ab = 3 * a * b

With this in mind, let's plug in the values of a and b into the expression.

3ab

= 3 (2) (3)

= 3 (6)

= 18

Hence, 3ab evaluated when a=2 and b=3 is 18.

Cheers.

4 0

3 years ago

Read 2 more answers

What is a solution to the equation 5x + 2y = -1?

Hunter-Best [27]

The answer to the solution of the equation 5x+2y=-1 is 1,-3)

5 0

3 years ago

Write an equation of the line that passes through the given point and is parallel to the given line.

Margaret [11]

Answer:

Part 40) $y=-2x+9$

Part 41) $y=5x+6$

Part 42) $y=\frac{2}{3}x+\frac{4}{3}$

Step-by-step explanation:

Remember that

If two lines are parallel, then their slopes are the same

Part 40) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (4,1)

Given line y=-2x+7

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

so

The slope of the given line is

$m=-2$

step 2

Find the y-intercept b

we have

$m=-2$

$(4,1)$

substitute in the linear equation

$1=(-2)4+b$

solve for b

$b=1+8$

$b=9$

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=-2$

$b=9$

substitute

The equation of the line is

$y=-2x+9$

Part 41) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (0,6)

Given line y=5x-3

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

so

The slope of the given line is

$m=5$

step 2

Find the y-intercept b

$b=6$ ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=5$

$b=6$

substitute in the linear equation

$y=5x+6$

Part 42) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (-5,-2)

Given line y=(2/3)x+1

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

so

The slope of the given line is

$m=\frac{2}{3}$

step 2

Find the y-intercept b

we have

$m=\frac{2}{3}$

$(-5,-2)$

substitute in the linear equation

$-2=(\frac{2}{3})(-5)+b$

solve for b

$-2=-\frac{10}{3}+b$

$b=-2+\frac{10}{3}$

$b=\frac{4}{3}$

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=\frac{2}{3}$

$b=\frac{4}{3}$

substitute

The equation of the line is

$y=\frac{2}{3}x+\frac{4}{3}$

3 0

3 years ago

Matching Equivalent Expressions

KiRa [710]

I hope this help

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8 0

3 years ago