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Natasha2012 [34]
2 years ago
15

Use slopes and y-intercepts to determine if the lines y=−x2+14 and 3x−4y=−1 are parallel.

Mathematics
1 answer:
Keith_Richards [23]2 years ago
7 0
Answer: the lines are not parallel.


Explanation: if you isolate the x in 3x^2-4y=-1, the equation is y=3/4x^2+1/4


So, they are not parallel because the slope is not the same.
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What is the area of the rectangle 3cm 3cm
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Answer:

18 square centimeters

Step-by-step explanation:

To find the area of a rectangle follow the formula, A=lw. Where A is the area, l is the length, and w is the width. So to find the area plug the dimensions into the formula. This would be A=6 x 3, which equals 18. Therefore the answer is 18 centimeters squared.

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Y= -1 +1/1. I hope it’s correct if not u can use desmos
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1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?
pantera1 [17]

Answer: x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

Step by step:

1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

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8 0
3 years ago
Assume that f is continuous on [-4,4] and differentiable on (-4,4). The table gives some values of f'(x) x: -4, -3, -2, -1, 0, 1
kondaur [170]
f will be increasing on the intervals where f'(x)>0 and decreasing wherever f'(x). Local extrema occur when f'(x)=0 and the sign of f'(x) changes to either side of that point.

f'(x) is positive when x is between -4 and some number between -2 and -1, and also 2 (exclusive) and 4, so you can estimate that f(x) is increasing on the intervals [-4, -2] and (2, 4].

f'(x) is negative when x is between some number between -2 and -1, up to some number less than 2. So f(x) is decreasing on the interval [-1, 1].

You then have two possible cases for extrema occurring. The sign of f'(x) changes for some x between -2 and -1, and again to either side of x=2.
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3 years ago
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Nat2105 [25]

Answer:

B- 24 pints

Step-by-step explanation:

128 x 3= 384 ounces

1 ounce = 0.0625

0.0625 x 384= 24 pints

Hope this helps ^-^

4 0
3 years ago
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