Answer:
x=6
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
x^2 + (x+2)^2 = (2x-2)^2
FOIL (x+2)^2 = x^2 +2x+2x+4 = x^2 +4x+4
FOIL (2x-2)^2 = 4x^2 -4x -4x+4 = 4x^2 -8x+4
Replacing these in to the equation
x^2 +x^2 +4x+4 = 4x^2 -8x+4
Combine like terms
2x^2 +4x +4 = 4x^2 -8x +4
Subtract 4 from each side
2x^2 +4x +4-4 = 4x^2 -8x +4-4
2x^2 +4x = 4x^2 -8x
Subtract 2x^2 from each side
2x^2 -2x^2+4x = 4x^2-2x^2 -8x
4x = 2x^2 -8x
Subtract 4x from each side
4x-4x = 2x^2 -8x-4x
0 = 2x^2 -12x
Factor out a 2x
0 = 2x(x-6)
Using the zero product property
2x =0 x-6 =0
x =0 x-6+6 = 0+6
x = 0 c=6
Answer:
3
Step-by-step explanation:
Any number and variable combined is a term.
So 8 (#1 - Constant), + 19y (#2 -Coefficient + Variable), - 4z (#3 -Coefficient + Variable)
3 terms - B
96 people are attending the concert.
Step-by-step explanation:
Given,
Number of children at concert = 12
This represents 12.5% of the people attending concert.
Let,
p be the total people attending concert.
12.5% of p = 12
Dividing both sides by 0.125
96 people are attending the concert.
Keywords: percentage, division
Learn more about division at:
#LearnwithBrainly
Answer:
D.) 1/3
Step-by-step solution:
12/36 can be simplified to 1/3.
Lateral surface area, is the area that is not including bases
so it is an area of free rectangles
3*(5*8)=3*40=120 cm²
