Rules of exponents and the distributive property apply.
(x+y)² = (x+y)·(x+y) . . . . . meaning of exponent of 2
= x·(x+y) +y·(x+y) . . . . . . . distributive property
= x·x +x·y +y·x +y·y . . . . . distributive property
= x² +x·y +x·y +y² . . . . . . meaning of exponent of 2, commutative property of multiplication
= x² +(1+1)·x·y +y² . . . . . . distributive property
= x²+2xy+y² . . . . . . . . . the desired form
Thus
(x+y)² = x²+2xy+y²
Answer: divide by 100 is .0937
Step-by-step explanation:
The midpoint of the line PQ is S, as it is halfway between points P and Q. Please mark Brainliest!!!
Answer:
17 =x
Step-by-step explanation:
The angles are vertical angles, so they are equal
51 = 3x
Divide each side by 3
51/3 = 3x/3
17 =x
X - the number of questions he answered correctly
y - the number of questions he answered incorrectly
There were 40 questions on the test.

The correct answers were given 5 points each, the incorrect answers were given -2 points each. He made a score of 95.

Set 40-x and (-95/2)+(5/2)x equal to each other:

Johnny answered correctly
25 questions.