Answer:
its A
Step-by-step explanation:
the y intercept would be -4 and the slope would be -23, put it in y=mx+b form
Hie!! I will be solving the questions in the sequence of the attachments.
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4. As line SU and TV are intersecting each other at O.
A.T.Q, ∠UOV = (7x - 4)°
∠SOT = 87°
Then, ∠UOV = ∠SOT {Vertically Opposite Angles}





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5. radius = 17ft
circumference of circle = 2πr


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3. ∠1 and ∠2 - add to 180 (linear pair)
∠1 and ∠3 - equal (Vertically Opposite Angles)
∠3 and ∠4 - add to 180 (linear pair)
∠2 and ∠4 - equal (Vertically Opposite Angles)
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2. 160° + (6x - 16)° = 180° (linear pair)






Answer:
3
Step-by-step explanation:
The value of "a" is the coefficient of x^2, so we know that is 2.
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<u>Solve for h</u>
Now, we have ...
2x^2 -8x +7 = 2(x -h)^2 +k
Expanding the right side gives us ...
= 2(x^2 -2hx +h^2) +k
= 2x^2 -4hx +2h^2 +k
Comparing x-terms, we see ...
-4hx = -8x
h = (-8x)/(-4x) = 2
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<u>Solve for k</u>
Now, we're left with ...
2h^2 +k = 7 = 2(2^2) +k = 8 +k
Subtracting 8 we find k to be ...
k = 7 -8 = -1
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And the sum of constants a, h, and k is ...
a +h +k = 2 +2 -1 = 3
The sum of the constants is 3.
Answer:
x = 360
Step-by-step explanation:
Reorder the terms:
x = 72 + 0.8x
Solving
x = 72 + 0.8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.8x' to each side of the equation.
x + -0.8x = 72 + 0.8x + -0.8x
Combine like terms: x + -0.8x = 0.2x
0.2x = 72 + 0.8x + -0.8x
Combine like terms: 0.8x + -0.8x = 0.0
0.2x = 72 + 0.0
0.2x = 72
Divide each side by '0.2'.
x = 360
Simplifying
x = 360
(3x+8)(2x + 6)
6x^2+18x+16x+42
6x^2+34x+42
using the foil method, you can expand the given expression. It is already in simplified form with the given (3x+8)(2x+6)