Answer:
Step-by-step explanation:
To solve this question, we will first expand the expression using the distributive rule: 
Therefore:
Simplify:
Add up like terms:
Answer:
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Explain the converse of the Pythagorean theorem.
A.
The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is less than the square of its hypotenuse.
<u>B. </u>
<u>The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
</u>
C.
The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
D.
The converse of the Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.
Step-by-step explanation:
Answer:
(2, - 6 )
Step-by-step explanation:
Given the 2 equations
x = 
y + 5 → (1)
2x + 3y = - 14 → (2)
Substitute x = y + 5 into (2)
2( y + 5 ) + 3y = - 14 ← distribute and simplify left side
y + 10 + 3y = - 14
4y + 10 = - 14 ( subtract 10 from both sides )
4y = - 24 ( divide both sides by 4 )
y = - 6
Substitute y = - 6 into (1) for corresponding value of x
x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2
Solution is (2, - 6 )
