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Afina-wow [57]
3 years ago
9

PLEASE ANSWER ASAP NEED NA PO TALAGA NG ANSWERS​

Mathematics
1 answer:
masya89 [10]3 years ago
7 0

Answer:

8) 52

9) 52

10) 52

11) 128

12) 128

Step-by-step explanation:

8) <2 = <6 because of corresponding angles

9) <2 = <7 because of alternate exterior angles

10) <2 = <3 because of vertical angles

11) Supplementary angles

<5 = x

x + 52 = 180

x = 128

12) Supplementary angles

<4 = x

x + 52 = 180

x = 128

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$780 is the answer to your question

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In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number valu
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First off, we factor out the expression:

\displaystyle \large{y = 2 {x}^{2}  - 12x + 16} \\  \displaystyle \large{y = 2 ( {x}^{2} - 6x + 8) }

In the bracket, separate 8 out of the expression.

\displaystyle \large{y = 2[ ( {x}^{2} - 6x + 8)] }\\  \displaystyle \large{y = 2[ ( {x}^{2} - 6x) + 8]}

In x^2-6x, find the third term that can make up or convert it to a perfect square form. The third term is 9 because:

\displaystyle \large{ {(x - 3)}^{2}  =  {x}^{2}  - 6x + 9}

So we add +9 in x^2-6x.

\displaystyle \large{y = 2[ ( {x}^{2} - 6x + 9)  + 8]}

Convert the expression in the small bracket to perfect square.

\displaystyle \large{y = 2[  {(x - 3)}^{2}   + 8]}

Since we add +9 in the small bracket, we have to subtract 8 with 9 as well.

\displaystyle \large{y = 2[  {(x - 3)}^{2}   + 8 - 9]} \\  \displaystyle \large{y = 2[  {(x - 3)}^{2}   - 1]}

Then we distribute 2 in.

\displaystyle \large{y = 2[  {(x - 3)}^{2}   - 1]} \\

\displaystyle \large{y = 2[  {(x - 3)}^{2}   - 1]} \\ \displaystyle \large{y = [2 \times  {(x - 3)}^{2} ]+[ 2 \times ( - 1)] } \\ \displaystyle \large{y = 2 {(x - 3)}^{2}  - 2 }

Remember that negative multiply positive = negative.

Hence the vertex form is y = 2(x-3)^2-2 or first choice.

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