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3 years ago

What is the range of the lengths? 5 6 7 6 6 6 8 7 5

Mathematics

1 answer:

sasho [114]3 years ago

8 0

Answer:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is

8 − 5 = 3 . 3

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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

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

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

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

Evan budgets $2,000 a month to spend on living expenses for his family. Complete the table to express the portion spent on each

Dahasolnce [82]

FOOD:
Fraction = 1/4
Decimal = 0.25
Percent = 25%

RENT:
Fraction = 6/10
Decimal = 0.60
Percent = 60%

TRANSPORT:
Fraction = 3/20
Decimal = 0.15
Percent = 15%

7 0

3 years ago

Read 2 more answers

Please Please help me this is on my test. Geometry

maw [93]

Answer:

x=17

Step-by-step explanation:

11x-31=8x+20

solve for x

4 0

3 years ago

Read 2 more answers

The student on each team who drew the greatest number will be the captain

Maurinko [17]

Answer:

Marcy

Step-by-step explanation:

6 0

3 years ago

4. Justine Gilbert worked these hours last week: Monday, 8; Tuesday, 10¼; Wednesday, 8½; Thursday, 9; Friday, 7¾. She works on a

Dima020 [189]

Answer:

$96.19

Step-by-step explanation:

Gilbert's overtime hours were ...

M 0
Tu 2 1/4
W 1/2
Th 1
F 0

for a total of 3.75 hours of overtime for the week. Her overtime pay is ...

3.75×1.5×$17.10 = $96.1875 ≈ $96.19

Gilbert's overtime pay for the week was $96.19.

7 0

3 years ago