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Assoli18 [71]
3 years ago
5

Write the equation of a line going through the point (-3,5) that is parallel to the line 2x+y=-8

Mathematics
1 answer:
Andrei [34K]3 years ago
5 0
2x + y = - 8
y = - 2x - 8

Since we are looking for a parallel line, we use the same slope of - 2x. 

y = - 2x + b

Plug in your given point.

5 = - 2(- 3) + b
5 = 6 + b
5 - 6 = b
-1 = b

Your equation is y = - 2x - 1


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If ABC=DEF and m <E= 2(m-15)° find m​
Lostsunrise [7]
<h3>Answer:  m = 25</h3>

====================================================

Work Shown:

Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.

Angle B is shown to be 20 degrees, so,

angle E = angle B

2(m-15) = 20

m-15 = 20/2

m-15 = 10

m = 10+15

m = 25

------------------

A slightly alternative way to solve:

2(m-15) = 20

2m-30 = 20

2m = 20+30

2m = 50

m = 50/2

m = 25

------------------

Checking the answer:

2(m-15) = 20

2(25-15) = 20

2(10) = 20

20 = 20

We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.

3 0
3 years ago
Solve the equation x/4+5/8=3/8
tia_tia [17]

X/4 +5/8 = 3/8

X/4 = 3/8-5/8

X/4 = (3-5)/8

X/4 = -2/8

Multiply both sides by 4 we get

4x/4 = -8/8

X = -1

5 0
3 years ago
In 2021,julia is 14 years old.michael is 2.50 times as old as julia.how old will julia be when michael is 60?
TiliK225 [7]

The Julia age will be 39 years old if In 2021,Julia is 14 years old. Michael is 2.50 times as old as Julia.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the age of the Julia is x years when Michael is 60

Julia's age = 14 years in 2021

Age of Michael = 2.50×14 = 35 years

Increase in age Michael  of 60 – 35 = 25

x = 14+25 = 39 years

Thus, the Julia age will be 39 years old if In 2021,Julia is 14 years old. Michael is 2.50 times as old as Julia.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

3 0
2 years ago
Jose measured a small granola bar in the shape of a rectagular prism. It was 5 mm tall, 50 mm long, and 30 mm wide. He stacked t
Daniel [21]

Answer:

15,000 mm^3

Step-by-step explanation:

volume of the 2 stacked granola bars = volume of one granola bar x 2

volume of one granola bar = Volume of a prism = base area x height

5 x 55 x 30 x 2 = 15,000

8 0
3 years ago
Y + 4x+6=0<br> solve for y
Svetlanka [38]

Answer: Y= -4X -6

Step-by-step explanation:

First, you need to get y by itself

so subtract 4x and 6 from each side

y = -4x -6

3 0
3 years ago
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