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Furkat [3]
3 years ago
11

what is the equation in standard form of the line that passes through the point (4,-8) and has a slope of 1/4

Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0
Y = mx + b
slope(m) = 1/4
(4,-8)....x = 4 and y = -8
now sub and find b, the y int
-8 = 1/4(4) + b
-8 = 1 + b
-8 - 1 = b
-9 = b
so ur equation is : y = 1/4x - 9....but we need it in standard form

y = 1/4x - 9
-1/4x + y = -9...multiply everything by -4
x - 4y = 36 <====
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TRI has vertices T(-3, 4), R(3, 4), and I(0,0). Is TRI scalene, isosceles, or equilateral?
KatRina [158]

Answer:

Isosceles

Step-by-step explanation:

Graph your triangle!

Then, do the distance formula. So from T to I is 5 units, R to I is 5 units, and T to R is 6 units. As two side lengths are congruent, the triangle is isosceles.

Hope this helps!


4 0
3 years ago
There are 88 seats in a theater. The seating in the theater is split into 4 identical sections. Each section has 14 red seats an
Thepotemich [5.8K]

Answer:

i guess you are trying to find out what the "some blue seats are". Lets show this as x.  So you are trying to find x. Now 88 seats in the theater divided by the 4 identical sections. that would give you 22. Now like you said 14 of the seats are red..That means that we have to find out what the blue is or x. 22-14 is 8. That means that there are 8 seats left that are not red...That means that 8 seats in the theater are blue.

8 0
2 years ago
The population of a town is decreasing at a rate of 3.2% per year. In 2015, there were 14,250 people. What is the first year tha
notsponge [240]
The answer is D
you would set up an equation like this
14,250 x .032
this will give you how much the population is decreasing per year. Which is 456 people per year.
You then take 2015 and find the difference between that number and 2025 and do it with all of the other years too.
For example 2025-2015 is 10 years
You then take 10 x 456 to tell you how much the of population you lost in those 10 years. You will then take that number which is 4,560 and do 14,250-4,560 to get 9,650.
4 0
2 years ago
What is x. Please show *all* the steps.
Zolol [24]

The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation

The value of x is 8 or 1

<h3>How to determine the value of x?</h3>

The equation is given as:

5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Rewrite as:

-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Take the  LCM

[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0

Expand

[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0

Evaluate the like terms

[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0

Multiply through by x^2 - 4

x^2 - 12x+ 3x + 8 = 0

Evaluate the like terms

x^2 -9x + 8 = 0

Expand

x^2 -x - 8x + 8 = 0

Factorize

x(x -1) - 8(x - 1) = 0

Factor out x - 1

(x -8)(x - 1) = 0

Solve for x

x = 8 or x = 1

Hence, the value of x is 8 or 1

Read more about equations at:

brainly.com/question/2972832

8 0
1 year ago
Explain answer !! <br><br> ( WILL GIVE BRAINLEST)
Ganezh [65]

Answer:find the solution to the system of equations below.start by adding the equation

{-2x+2y=-8

{2x+y=5

Step-by-step explanation:The given system of equation are:

1----  y= x -4

2----- y=4 x+2

Equation (1) - Equation (2)

→0= x -4 - (4 x+2)

→0=  -3 x -6-----[Adding and subtracting like terms]

Adding 3 x on both sides

→3 x= -6

Dividing by 3 on both sides

→x = -2

→Substituting the value of x in equation 1, we get

y= -2 -4

y =-6

→Solution set =(x,y)=(-2, -6)

Don't used the graph to find the solution.

4 0
2 years ago
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