Answer:
(C)Determine the principal square root of both sides of the equation.
Step-by-step explanation:
Given: Isosceles right triangle XYZ (45°–45°–90° triangle)
To Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.
Proof:
Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem,
Since a=b in an isosceles triangle:
Therefore, the next step is to Determine the principal square root of both sides of the equation.
Answer:
Median, box and whisker plots are all about the median
Step-by-step explanation:
Step-by-step explanation:
- (3x-2y) (4x+3y) (8x-5y)
- (3x(4x+3y)-2y(4x+3y))(8x-5y)
- (12x²+9xy-8xy-6y²)(8x-5y)
- (12x²+xy-6y²)(8x-5y)
- 12x²(8x-5y)+xy(8x-5y)-6y²(8x-5y)
- 96x³-60x²y+8x²y-5xy²-48xy²+30y³
- 96x³-52x²y-53xy²+30y³
<span>There were 12 peaches on the tree originally.
Let's make an equation to describe the problem and then solve it.
"Bill picked 1/4 of the peaches on his grandmothers tree."
Which means that 3/4ths of the original number of peaches remain. So:
(3/4)x
"After Bill finished Sally picked 1/3 of the peaches that were left on the tree."
Which means that she left behind 2/3rds of the peaches that Bill left behind. So:
(2/3)((3/4)x)
"After Sally finished there were 6 peaches left on the tree." So:
(2/3)((3/4)x) = 6
Now we just need to solve for x.
(2/3)((3/4)x) = 6
(3/2) * (2/3)((3/4)x) = 6 * (3/2)
(3/4)x = 9
(4/3)(3/4)x = 9*(4/3)
x = 12
There were 12 peaches on the tree originally.</span>