Answer:
16y + 32
Step-by-step explanation:
Expand each term.
(y+6)² - (y-2)²
= (y+6)(y+6) - (y-2)(y-2)
= y² + 12y + 36 - (y² - 4y + 4)
Subtract the second group by changing each term's signs
= y² + 12y + 36 - y² + 4y - 4
Collect like terms
= 16y + 32
Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that
. If we plug the side lengths in for a and b, we get
. This can be simplified to
, or
. If we root both sides, we find that c is equal to
, which is slightly more than 7, at around 7.2.
Answer:
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Step-by-step explanation:
Increases by +2
Its arithmetic
Sixth number would be 17+2=19
Seventh is 19+2=21
Eighth is 21+2=23
Answer:
BC = 25
Step-by-step explanation:
AB = AC since it is an isosceles triangle
4x+1 = 2x+23
subtract 2x from each side
4x-2x+1 = 2x-2x+23
2x +1 = 23
subtract 1 from each side
2x+1 -1 = 23-1
2x = 22
divide by 2
2x/2 =22/2
x =11
BC = 3x-8
BC = 3(11) -8
BC =33-8
BC = 25