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3 years ago

What is an equation of the line through (-1,-4) and parallel to the line 3x+y=s

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

line: 3x + y = s

y = s - 3x

To two lines be parallel both angular coeficients need to be equal

In y = s - 3x our angular coeficient is -3

y = ax + b where a is angular and b is linear

Now we have the equation

(y - yo) = m.(x - xo)

(y - (-4)) = -3.(x - (-1))

y + 4 = -3.(x + 1)

y + 4 = -3x - 3

y = -3x - 3 - 4

y = -3x - 7 is parallel to y = -3x + s

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Vikki [24]

Answer:

1. The y-intercept is 10

2. The slope-intercept is -2

Step-by-step explanation:

1. The y-intercept is 10 because when the x-intercept is 0 the y-intercept should be on the other side.

2. (2,6) and (-1,12)

slope=rise/run= the change of y/the change of x=m=y2-y1/x2-x1

1. change of x=-1-2=-3 and change of y= 12-6=6

2. 6/-3= -2

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4 0

2 years ago

2( 10 - a^2 ) + 7a If ( a = 4 )Evaluate each expression

Lostsunrise [7]

Solution:

Given:

$2(10-a^2)+7a$

when a = 4, substitute for a in the expression;

$\begin{gathered} 2(10-a^2)+7a=2(10-4^2)+7(4) \\ =2(10-16)+28 \\ =2(-6)+28 \\ =-12+28 \\ =16 \end{gathered}$

Therefore, if (a = 4), then

$2(10-a^2)+7a=16$

Hence, the answer is 16.

6 0

1 year ago

What is the volume of this container?

Keith_Richards [23]

Answer:

The volume of the container is $56\ in^{3}$

Step-by-step explanation:

we know that

The volume of the figure is equal to

$V=Bh$

where

B is the area of the base

h is the height of the figure

Let

$h=4\ in$

Find the area of the base B

$B=(4*4)-(1*2)=14\ in^{2}$

substitute

$V=14*4=56\ in^{3}$

3 0

3 years ago

A grocery store sells and 8 ounce bottle of juice for $1.76 What is the cost of the juice per ounce?

Marat540 [252]

Answer:

$0.22

Step-by-step explanation:

Now we know that 8 ounces total to $1.76. That means that in order to find how much 1 ounce costs, we will end up dividing both sides by 8

8 oz = $1.76

8 oz / 8 = $1.76 / 8

1 oz = $0.22

So, we now know that 1 oz is equal to 22 cents. You can also confirm your answer by multiple 0.22 by 8, and you'll see that you'll get 1.76

6 0

3 years ago

What is 56/1/3 = ?beats per minute

alisha [4.7K]

Answer: i hope im right

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Step-by-step explanation:

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3 years ago