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serious [3.7K]
2 years ago
7

Prove: 45= m/ZXY Complete the proof. Number your reasons in the textbox below.

Mathematics
1 answer:
Stolb23 [73]2 years ago
8 0

Step-by-step explanation:

since the two angles from a straight line, they make a linear pair and linear pairs are supplementery. by the angle addition postulate, you can determine that the two angles sum to 180. substituting the one angle mearsure that you are guven and using a bit of simple arithmetic and the subtraction property of equality, you can determine that the other angle,angle YXZ, is 45 degrees. I hope this is helpful

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What is the focus of the parabola?
ankoles [38]
We have that
y = −14x² − 2x − 2

First, we need to transform the equation into its vertex form 
(x - h)²=4p(y - k)
<span>Group terms that contain the same variable
</span>y = (−14x² − 2x )− 2
<span>Factor the leading coefficient 
</span>y = -14*(x² + (2/14)x )− 2
<span>Complete the square  Remember to balance the equation 
</span>y = -14*(x² + (2/14)x +(2/28)²-(2/28)²)− 2
y = -14*(x² + (2/14)x +(2/28)²)− 2+14*(2/28)²
y = -14*(x² + (2/14)x +(2/28)²)− 2+56/784

Rewrite as perfect squares

y = -14*(x+(2/28))²− 1512/784------>(x+1/14)²=(-1/14)*(y+1512/784)

4p=-1/14------> p=-1/56

This is a vertical parabola and its focus <span>(h, k + p)</span>

<span>h=-1/14</span>

<span>k+p=(-1512/784)+(-1/56)----> (-1512-14)/784)----> -1526/784</span>

<span>
</span>

<span>the focus is</span>

<span>(-1/14,-1526/784)</span>



7 0
4 years ago
When 2 is subtracted from one-fourth of a number, the result is seventeen. Find the number
murzikaleks [220]

Answer:

79

Step-by-step explanation:

Add.

17 + 2 = 19

Multiply.

19 x 4 = 79

4 0
4 years ago
Read 2 more answers
I need answer please
qwelly [4]

Answer:

18

Step-by-step explanation:

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3 0
4 years ago
1 - (2n + 9) = 4(1-2)
Vikki [24]

Answer:

n=-2

Step-by-step explanation:

1−(2n+9)=4(1−2)

1+−1(2n+9)=4(1−2)

1+−1(2n)+(−1)(9)=4(1−2)

1+−2n+−9=4(1−2)

1+−2n+−9=−4

(−2n)+(1+−9)=−4

−2n+−8=−4

−2n−8=−4

−2n−8+8=−4+8

−2n=4

Divide both sides by -2

-2n/2=4/-2

n=-2

6 0
3 years ago
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Find the slope of each graph by comparing the ratio of the rise over the run. (only do #3)
deff fn [24]

Answer: undefined

Step-by-step explanation:

Question 3 is undefined.

rise/0 is undefined.

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I provide detailed explanations for math questions for as little as $1!

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