Remember you can do anything to an equaiton as long as you do it to both sides
7x-4=5x+15
minus 5x both sides
2x-4=15
add 4 both sides
2x=19
divide by 2
x=19/2
Answer:
y = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
Answer:
y = -2x+5
Step-by-step explanation:
y = -2x+1 is in the form y= mx+b where m is the slope and b is the y intercept
-2 is the slope
Parallel lines have the same slope so our new line will have the same slope
y = -2x+b
The point given is the y intercept (value when x is zero)
b = 5
y = -2x+5
<h3>
Answer: 14x - 8</h3>
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Explanation:
I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.
The equation is of the form ax^2+bx+c = 0
This leads to...

Now use those roots to form these steps

Refer to the zero product property for more info.
Therefore, the original expression factors fully to (4x-5)(3x+1)
Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.
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We did that factoring so we could find the side lengths of the rectangle.
I'm using the fact that area = length*width
- L = length = 4x-5
- W = width = 3x+1
The order of length and width doesn't matter.
From here, we can then compute the perimeter of the rectangle
P = 2(L+W)
P = 2(4x-5+3x+1)
P = 2(7x-4)
P = 14x - 8