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cricket20 [7]
1 year ago
9

Help me with 11 please I’m crying Perform indicated operations

Mathematics
1 answer:
Svetlanka [38]1 year ago
4 0
\begin{gathered} h(x)=-4x+1 \\ g(x)=2x+2 \\ h(x)\cdot g(x)=(-4x+1)\cdot(2x+2) \\ \text{ Distributing:} \\ h(x)\cdot g(x)=(-4x)\cdot2x+(-4x)\cdot2+1\cdot2x+1\cdot2 \\ h(x)\cdot g(x)=-8x^2-8x+2x+2 \\ \text{ Combining similar terms:} \\ h(x)\cdot g(x)=-8x^2-6x+2 \end{gathered}

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I need help please. Thanks
Agata [3.3K]

Given:

m∠APD = (7x + 1)°

m∠DPC = 90°

m∠CPB = (9x - 7)°

To find:

The measure of arc ACD.

Solution:

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠APD + m∠DPC + m∠CPB = 180°

7x° + 1° + 90° + 9x° - 7° = 180°

16x° + 84° = 180°

Subtract 84° from both sides.

16x° + 84° - 84° = 180° - 84°

16x° = 96°

Divide by 16° on both sides.

x = 6

m∠APB = 180°

m∠BPD = (9x - 7)° + 90°

             = (9(6) - 7)° + 90°

             = 47° + 90°

m∠BPD = 137°

m∠APD = m∠APB + m∠BPD

             = 180° + 137°

             = 317°

<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>

m(ar ACD) = m∠APD

m(ar ACD) = 317°

The arc measure of ACD is 317°.

8 0
3 years ago
Jimmy spent 33 on Amazon. This was 4 more than of the amount of money Shane spent. Which equation best represents the amount of
mezya [45]

Answer:

33/4=8.25

So the best way to do it is 33 divided by 4. That equals 8.25.

5 0
1 year ago
Solve -37 + n = -56 for n. -93 -19 19 93
Nutka1998 [239]

Answer:

<h2>n = -19</h2>

Step-by-step explanation:

-37+n=-56\qquad\text{add 37 to both sides}\\\\-37+37+n=-56+37\\\\n=-19

8 0
3 years ago
Read 2 more answers
2/3 x - 1/5x = x - 1
Novay_Z [31]

Answer:

10/15x-3/15x=x-1

7/15x=x-1

x=7/15x+1

8/15x=1

x=15/8

5 0
3 years ago
Why do we use scientific notation, and what are the parts of an expression written in scientific notation?
Viefleur [7K]
We use scientific notation to make it easier to represent numbers very small to very large. EX: 6,000 Scientific Notation: 6^3

8 0
2 years ago
Read 2 more answers
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