Answer: X = 10.20240940...
Step-by-step explanation:
x(2x + 9) = 2x^2 + 9x
2x^2 + 9x = 300
- 300 ON BOTH SIDES
2x^2 + 9x - 300 = 0
SOLVE USING THE QUADRATIC FORMULA
x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)
When all the values are plugged in:
When using "+" in the equation you should get:
x = 10.20240940…
When using "-" in the equation you should get:
x = −14.70240940…
Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...
YOUR ANSWER IS: x = 10.20240940...
We can say L as length and W as the width
L= 3w + 8
The formula for perimeter is 2L + 2W = P. We can substitute L in as "3w+8" to make the equation...
2(3w+8)+2w=88 Now, we can simplify by distributing the 2 to each term
6w+16+2w=88
8w+16=88 Then subtract 16 from each side..
8w=72
w=9
So the width is 9, so we can substitue that into the previous equation, L = 3w+8.
L=3(9)+8
L=27+8
L=35, W=9
Yes, it would be correct because a triangle has to add up to 180 degrees when all the angles are added up
A) Explanation:
95 + 10 + 75 = 180
B) A triangle will always add up to 180.
Compute the slope of the line through (-2, -9) and (-4, -17):

Any line perpendicular to this line will have slope -1/4. The one that passes through (0, 10) satisifes

Answer: Choice A

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Explanation:
The pythagorean theorem is 
The value of c is always the longest side, aka hypotenuse.
The order of 'a' and b doesn't matter.
So a = 14, b = 48, c = 50
We have 
We also have 
Both sides result in 2500 which proves that
is a true statement. Therefore, we do have a right triangle.