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3 years ago

What is the slope of a line that is perpendicular to the line whose equation is 5y+2x=12?

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 5y + 2x = 12 into this form

Subtract 2x from both sides

5y = - 2x + 12 ( divide all terms by 5 )

y = - $\frac{2}{5}$ + $\frac{12}{5}$ ← in slope- intercept form

with slope m = - $\frac{2}{5}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{2}{5} }$ = $\frac{5}{2}$ → A

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5 1/2,5.05,5 5/9 from grestest to least

Gelneren [198K]

Answer:

5 5/9, 5 1/2 and 5.05

Step-by-step explanation:

From greatest to least, find the decimal of each value 5 1/2,5.05,5 5/9.

5 1/2 = 5.5

5.05

5 5/9 = 5.55556...

The greatest is 5 5/9 followed by 5 1/2 and lastly 5.05.

4 0

3 years ago

Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.

dezoksy [38]

Answer:

The equation in the slope-intercept form will be:

$y=-\frac{5}{4}x+1$

Step-by-step explanation:

Given

slope = m = -5/4

point = (8, -9)

As we know that the equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = -5/4 and point = (8, -9)

$y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)$

$y+9=\frac{-5}{4}\left(x-8\right)$

Writing the equation in slope-intercept form

$y=mx+b$

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

$y+9=\frac{-5}{4}\left(x-8\right)$

subtract 9 from both sides

$y+9-9=\frac{-5}{4}\left(x-8\right)-9$

$y=-\frac{5}{4}x+1$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{5}{4}x+1$

7 0

3 years ago

Find c.<br> Round to the nearest tenth.

solmaris [256]

Answer: Picture is blury for me I can not see it well enough

Step-by-step explanation:

All i see is the 8 ft and 17ft cant see any of the other numbers

8 0

3 years ago

Mr. Kramer has 30 pencils for his class. There are 22 students in his class and he would like

saw5 [17]

Answer:

Step-by-step explanation:

Mr. Kramer has pencils for his class = 30

Students in his class = 22

Pencils he would like to give each student = 2

How many more pencils does Mr. Kramer need to buy so that each student will receive 2 pencils = ?

Total pencils Mr. Kramer need to buy so that each student will receive 2 pencils = 22 × 2

= 44

= 44 - 30

= 6

Mr. Kramer need to buy 6 more pencils so that each student will receive 2 pencils

5 0

3 years ago

Need help with math probelm if do 5 stars

slamgirl [31]

Answer:

b) -9.25

Step-by-step explanation:

-1/4 = -0.25

-9 + -0.25 = -9.25

-10, -9.75, -9.5, -9.25, -9, -8.75, -8.5, -8.25, -8, -7.75, -7.5, -7.25, -7

Hope this helps!

4 0

2 years ago

Read 2 more answers