All categories

2 years ago

Write the equation of a line that passes through the point (-8,4) and is parallel to the line y=-5x+3.

Mathematics

1 answer:

Oduvanchick [21]2 years ago

5 0

Answer: y=-5x-36

Step-by-step explanation:

In order for two lines to be parallel they need to have the same slope. so the slope (m) of the new line needs to be -5.

slope(m) =-5

and the point (-8,4) is given to us. we can create a new equation for a line using the point slope formula because we have a slope (m=-5) and a point (-8,4)

point slope formula: y-y1=m(x-x1)

y-4=-5(x--8)

simplify and pay attention to negative signs

y-4=-5(x+8)

y-4=-5x-40

y=-5x-36

You might be interested in

Solve. -32 - (-5) A. 37 B. 27 C. -27 D. -35

Damm [24]

Answer:

c -27

Step-by-step explanation:

-32-(-5)

-32+5

-27

8 0

2 years ago

How do I get to the answer of this question?

Elena L [17]

Triangle Similarity

We will use the SAS theorem to prove that Triangle TSG and Triangle PHG are similar.

First, we need to define the SAS similarity theorem:

The Side-Angle-Side (SAS) Theorem states if two sides of one triangle are proportional to two corresponding sides of another triangle, and their corresponding included angles are congruent, the two triangles are similar.

To use this theorem, we need to prove:

* Two sides of the triangles are in the same proportion

* The included angle between them is congruent with the other corresponding angle.

In triangle TSG, the longest side has a length of 7.5 + 5 = 12.5 feet

In triangle PHG, the longest (and therefore corresponding) side has a length of 5 feet.

The ratio between them is 12.5 / 5 = 2.5

In triangle TSG, the horizontal length is 4.5 + 3 = 7.5 feet

In triangle PHG, the horizontal (and therefore corresponding) side has a length of 3 feet.

The ratio between them is 7.5 / 3 = 2.5

Since the ratio measured on both corresponding sides is the same, we have satisfied the first condition of the SAS theorem.

The included angle is G, and it's the same for both triangles.

The reflexive property guarantees both triangles have congruent corresponding angles:

Angle G is congruent with (itself) Angle G

Thus, we have met the conditions for the SAS similarity theorem and therefore proven Triangle TSG and Triangle PHG are similar.

3 0

2 years ago

What is the number 2,305,012 written in expanded notation?

Semenov [28]

The expanded form of that number is 2,000,000 + 300,000 + 5,000 + 10 + 2.

8 0

4 years ago

Read 2 more answers

What is 1163853739x948096388

Free_Kalibri [48]

Standard calculator will tell you that this is 1.1034455e+18 If that makes sense

5 0

3 years ago

Read 2 more answers

Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.

jok3333 [9.3K]

R=Number of rabbits

y=Years that have passed by { y ≥ 0 }

R=f(y) --> R is a function of y.
---------------------------------------------

Note that when:

y=0, R=4 ---> Point: (0, 4)

y=1, R=8 ---> Point (1, 8)

y=2, R=16 ---> Point (2, 16)

y=3, R=32 ---> Point (3, 32)

y=4, R=64 ---> Point (4, 64)

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

So the equation you want is going to form a curved graph.

That equation is:

$R={ 2 }^{ y+2 }$

*You can test out this function on any decent graphing software.

7 0

4 years ago

Read 2 more answers

Write the equation of a line that passes through the point ​(-8​,4​) and is parallel to the line y=-5x+3.

Write the equation of a line that passes through the point (-8,4) and is parallel to the line y=-5x+3.