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2 years ago

What is the slope of a line perpendicular to the line whose equation is 3x-12y=2163x−12y=216.

Mathematics

2 answers:

zubka84 [21]2 years ago

8 0

Answer:

Slope (m) = 3

Step-by-step explanation:

Here 3x-12y-216=0

Reducing into slope intercept form

-12y= -3x + 216

12y = 3x - 216

Which is in the form of, y = mx + c

Slope (m) = 3

Keith_Richards [23]2 years ago

5 0

Answer:

Deleted account

Step-by-step explanation:

Here 3x-12y-216=0

Reducing into slope intercept form

-12y= -3x + 216

12y = 3x - 216

Which is in the form of, y = mx + c

Slope (m) = 3

Step-by-step explanation:

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ind the slope and y-intercept for the two linear functions. A 2-column table with 5 rows. Column 1 is labeled x with entries neg

Liula [17]

Answer:

-1/4

-4

3/2

got it right on edge 2020

Step-by-step explanation:

9 0

2 years ago

Read 2 more answers

A case of Scout cookies has 10 cartons. A carton has 12 boxes. The amount you earn on a whole case is 10(12x) dollars.

Katen [24]

Simplified expression: 120x dollars

Step-by-step explanation:

Given,

Number of cartons in case of Scout cookies = 10 cartons

Number of boxes in carton of Scout cookies = 12 boxes

Amount earned on whole case = 10(12x) dollars

To simplify the expression, we will multiply 10 by 12x

Amount earned on whole case = 120x dollars

Simplified expression: 120x dollars

Keywords: multiplication, variable

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8 0

1 year ago

Farmer Hanson is putting together fruit baskets. He has 240 apples and 150 pears. What is the largest number of baskets he can p

Tomtit [17]

Answer: 30 baskets.

<u>Step-by-step explanation:</u>

You need to find the Greatest Common Factor (GCF).

240 (apples) = 2 x 2 x 2 x 2 x 3 x 5

150 (pears) = 2 x 3 x 5 x 5

GCF (240, 150) = 2 x 3 x 5

= 30

You can make 30 baskets containing 240/30 = 8 apples and 150/30 = 5 pears.

4 0

2 years ago

Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6

lora16 [44]

Answer:

The answer is the option C

graph of $3x$ minus $3$ , with discontinuity at negative $2$ , negative $9$

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Simplify

$f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}$

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

Step 1

Convert to a factored form the numerator

$x^{2}+x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+x+0.25=2+0.25$

$x^{2}+x+0.25=2.25$

Rewrite as perfect squares

$(x+0.5)^{2}=2.25$

Square root both sides

$x+0.5=(+/-)1.5$

$x=-0.5(+/-)1.5$

$x=-0.5+1.5=1$

$x=-0.5-1.5=-2$

$x^{2}+x-2=(x-1)(x+2)$

Step 2

Simplify the function f(x)

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}$

The domain of the function f(x) is all real numbers except the number $x=-2$

Because the denominator can not be zero

$f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3$

$f(x)=3x-3$ ------> with a discontinuity at $x=-2$

$f(-2)=3(-2)-3=-9$

The discontinuity is at point $(-2,-9)$

the answer in the attached figure

8 0

2 years ago

Read 2 more answers

Miguel ran for 850 meters and then walked for 2.75 kilometers.

olga55 [171]

Answer:

1900 meters

Step-by-step explanation:

He ran for 850 meters

Walked for 2.75 kilometers, and that's 2.75 * 1000 meters, which is 2750 meters

The total he walked more than he ran is 2750 - 850 = 1900 meters

4 0

2 years ago