Just for future reference always put ^ for exponents. The answer is y-6 though.
(y-4)(y-6) create that trinomial. You can prove that by using the FOIL algorithm

7 0

3 years ago

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What is the length of DE?

miskamm [114]

Answer:

Step-by-step explanation:

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

AC *CB = CD CE

4 * (10-4) = CD * 8

4 * 6 = 8 *CD

24 = 8 CD

Divide each side by 8

24/8 = CD

3 = CD

We want the length DE

DE = CD + CE

= 3 + 8

DE = 11

5 0

3 years ago

Identify the type of function represented by f(x) 4 2^x

Romashka [77]

B bc the coefficient is greater than 1. if, for example it was 0.5 it would be a

5 0

3 years ago

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One leg of a right triangle is 7 inches longer than the smaller leg and the hypotenuse is 8 inches longer than the smaller leg.

Makovka662 [10]

Smaller leg = x
longer leg = y
hypotenuse = z

y=x+7
z=x+8

due to
${z}^{2} = {x}^{2} + {y}^{2} \\ (x + 8) ^{2} = {x}^{2} + (x + 7) ^{2} \\ {x}^{2} + 16x + 64 = {x}^{2} + {x}^{2} + 14x + 49 \\ {x}^{2} + 16x + 64 = 2 {x}^{2} + 14x + 49 \\ {x}^{2} - 2 {x}^{2} + 16x - 14x + 64 - 49 = 0 \\ - {x}^{2} + 2x + 15 = 0 \\ {x}^{2} - 2x - 15 = 0 \: \: (multiplied \: by \: - 1) \\ (x - 5)(x + 3) = 0 \\ then \: \: x = 5 \: \: or \: \: x = - 3$
but x cannot be -3
so smaller leg is 5 inches

then longer leg = 5+7 = 12 inches
and hypotenuse = 5+8 = 13 inches

3 0

3 years ago