1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
d1i1m1o1n [39]
3 years ago
9

What is an equation of the line that passes through the points (-8, 2) and (-4, -3)?

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0

Answer:

y = -5/4x - 8

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (-3 - 2)/(-4 - -8) = -5/4

Given (-8,2)

y = mx + b

2 = -5/4(-8) + b

2 = 10 + b

b = -8

y = -5/4x - 8

You might be interested in
Find the value of y and x in the figure
Fed [463]

First, find the interior angle missing:

180-135=45

Then, we know all the interior angles in a triangle add up to 180º. So, we add all the values for the interior angles and we equate them to 180. We solve the equation normally.

45+(4z+9)+(5y+5)=180\\45+4z+9+5y+5=180\\59+4z+5y=180\\4z+5y=180-59\\4z+5y=121

After that, we must add the two angles on a straight line on the right-hand side and equate them to 180.

(4z+9)+(9y-2)=180\\4z+9+9y-2=180\\7+4z+9y=180\\4z+9y=180-7\\4z+9y=173

We compare the equations:

4z+5y=121\\4z+9y=173

We simultaneously solve by isolating one of the variables (y) in one of the equations (4z+5y=121) and substituting into the other (4z+9y=173):

4z+5y=121\\4z+9y=173\\\\4z+5y=121 => 4z=121-5y\\\\4z+9y=173\\(121-5y)+9y=173\\121-5y+9y=173\\121+4y=173\\4y = 173-121\\4y=52\\y=52/4\\y=13

We substitute it back into the first formula, the one in which we isolated the variable (4z+5y=121):

y=13\\\\4z+5y=121\\4z+5(13)=121\\4z+65=121\\4z=121-65\\4z=56\\z=56/4\\z=14

We now check our answer using the formula we know about the internal angles of a triangle (a+b+c=180):

a+b+c=180\\a=45,b=(5y+5),c=(4z+9),y=13,z=14\\45+(5y+5)+(4z+9)=180\\45+5(13)+5+4(14)+9=180\\45+65+5+56+9=180\\180=180

Now, if 180=180, then we are correct!

So, in conclusion, y=13 and z = 14.

7 0
3 years ago
Please help explain each problem thank you have a great day
boyakko [2]
Part A. 250+45a=t
That's because 'a' is the variable in which we don't know how many appointments she will have. 'a' times the $45 would be in the equation. Then you would have to add the $250 for the tests and medicines.So 250+45a=t
Part B.(250+45a)-(25%*t).
That's because the first set in parentheses is the total cost. You would have to subtract that buy the discount times the total cost which represents the the second set of the equation.:)
Part C.25%*6 appointments equals 1.5. You have to solve (250+45) and then multiply 25%*6.That product plus (250+45) would be your final answer.U won't tell you the answer because it would help.U would need explanation.This is how I would answer the question.Hope this helped
8 0
3 years ago
A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 3/2 . What is the volume of the dilated prism?
erma4kov [3.2K]
Volume of Original Prism = base area * Height = 3 * 4 = 12

After dilation factor = 12 * 3/2 = 6 * 3 = 18

In short, Your Answer would be 18 m³

Hope this helps!
4 0
4 years ago
Read 2 more answers
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. If the triangles are similar, write a valid sing
Slav-nsk [51]

Answer:

I thinks its SAS

Step-by-step explanation:

SAS is Two sides and included agale of one triangle congruent to two sides

8 0
3 years ago
Bill hikes 8 miles in 3 hours. At this rate. how many miles will he hike after 2 hours?
exis [7]

Answer:

5 1/3 miles

Step-by-step explanation:

We can use a ratio to solve

8 miles      x miles

------------ = --------

3 hours         2 hours

Using cross products

8*2 = 3x

16 = 3x

Divide by 3

16/3 = 3x/3

5 1/3 miles =x

6 0
3 years ago
Read 2 more answers
Other questions:
  • 12 ten thousands 8 thousands 14 hundreds 7 ones in standard form
    11·1 answer
  • I need help ASAP please!! Giving brainlist!!
    8·1 answer
  • Someone finish this rq
    8·1 answer
  • Domain and range of f(x)=sqrt(x^2 -4)
    10·1 answer
  • The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015 find the percentage change in the
    9·1 answer
  • help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!
    7·2 answers
  • Find the volume of the cylinder that has a radius of 7cm and a hight of Ilcm
    10·1 answer
  • What principal will earn the interest rs.750 in 3 year at the rate of 10% per year .​
    11·1 answer
  • Please someone help me asap. Im giving brainliest !!!!
    11·2 answers
  • Please answer this question friends I can't understand ?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!