Properly identifying and assigning the proper variables to each part of the problem before attempting to solve it
-36×+9 is equivalent to this question.
Answer:
y = 4x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)
m = 
= 
= 4 , then
y = 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 4), then
4 = 16 + c ⇒ c = 4 - 16 = - 12
y = 4x - 12 ← equation of line
Answer:
A (2, -8/5)
Step-by-step explanation:
The answer would be A I believe. This is because to get from C to D, it would be going down 6 and to the right by 10.
To make CP = 3/5CD. We multiply how much we move by 3/5:
-6 * 3/5 = -18/5 (note that the 6 would be negative because its going down)
and 10 * 3/5 = 6
Then we add these values to the coordinates of C:
(-4 + 6, 2 - 18/5) =
(2, -8/5). So A would be the answer.
The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
Read more about triangles at
brainly.com/question/2437195
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