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katrin [286]
3 years ago
15

Solve for the value of r help pls

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0

Answer:

r=20

Step-by-step explanation:

since the angle and sum of a straight line is equal to 180, you structure an equation:

180=105+(4r-5)

solve for r

180=100+4r

80=4r

20=r

check answer

4r-5     4(20)-5

80-5

75+105=180

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What is the vertex of f (x) = 5x^2+20x-16
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Answer:

vertex = (- 2, - 36)

Step-by-step explanation:

Given a parabola in standard form : y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = 5x² + 20x - 16 is in standard form

with a = 5, b = 20 and c = - 16

x_{vertex} = - \frac{20}{10} = - 2

Substitute x = - 2 into f(x) for corresponding y- coordinate

f(- 2) = 5(- 2)² +20(- 2) - 16 = 20 - 40 - 16 = - 36

vertex = (- 2, - 36)



3 0
3 years ago
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Which of the following expressions is 0.00012 written in scientific notation? A. 0.12 × 10^-3 B. 1.2 × 10^-4 C. 12 × 10^-5 D. 1.
In-s [12.5K]

Answer:

B. 1.2 x 10^{-4}

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.  Or, in this case it's the opposite since we have a negative number. Since it's a decimal it's multiplied by 10 still but the exponent is negative. All we need to do to find what the exponent would be in this case is to count the number of zeros before the "12." There are 4 zeros before the 12. So your exponent would be -4. Now all we need to do is write out "equation" per say.

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<u>Hope this helps and have a nice day!</u>

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Find A and B
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Thank you sa points lab you
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