Write an equation to describe the cost of the number of kilowatt-hours of electricity from 1,001 to 1,500 answers

1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)

Arada [10]

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

= ( 5-2)/(1 - -3)

= (5-2)/(1+3)

= 3/4

7 0

3 years ago

Krista's mom has told her she needs to make the pen ½ the size that she had planned (5 feet long by 4 ½ feet wide). What will th

saw5 [17]

Answer:

1. area of new pen = 11 $\frac{1}{4}$ $ft^{2}$

2. i. 5 feet by 2 $\frac{1}{4}$ feet

ii. 2 ½ feet by 4 ½ feet

Step-by-step explanation:

The size of the pen as planned = 5 ft long by 4 ½ ft wide

Area of the pen = length x width

= 5 x 4 ½

= 5 x $\frac{9}{2}$

Area of the pen = $\frac{45}{2}$

= 22 ½ $ft^{2}$

But, Krista has to make the pen ½ the size of planned. So that;

area of new pen = ½ x 22 ½

= ½ x $\frac{45}{2}$

= $\frac{45}{4}$

= 11 $\frac{1}{4}$

area of new pen = 11 $\frac{1}{4}$ $ft^{2}$

The area of the new pen would be 11 $\frac{1}{4}$ $ft^{2}$ .

The possible values she could use are:

i. 5 feet by 2 $\frac{1}{4}$ feet

ii. 2 ½ feet by 4 ½ feet

6 0

3 years ago

If a 100-part spinner is spun, and then a coin is flipped, how many possible outcomes are in the sample space for the compound e

Inessa [10]

Answer:

200

Step-by-step explanation:

3 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

If BC=CD=DE, what is th area of triangle ACD.

Lena [83]

I think 25 because 5×5 is 25

8 0

4 years ago