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Sergeeva-Olga [200]
2 years ago
8

For what value of x is the square of the binomial x+1 one hundred and twenty greater than the square of the binomial x-3

Mathematics
1 answer:
My name is Ann [436]2 years ago
3 0

Answer:

<u><em>x = 16</em></u>

Step-by-step explanation:

<em>(x + 1)² = (x - 3)² + 120</em>

<em>x² + 2x + 1 = x² - 6x + 9 + 120</em>

<em>8x = 128</em>

<em>x = 16</em>

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Four oranges cost 90 cents, an orange costs 90/4 cents, which is around 22.5 cents. Multiply this by 36 to get the cost of 3 dozen oranges, so 22.5 times 36 is 810, 810 cents, or 8.10 dollars.
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B, E, D, and C

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I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.  

Let's choose the 2 given points (-3,16) and (-1,12).
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y = mx + b becomes y=-2x+10.  Which of the four given answer choices is the correct one?
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3 years ago
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erma4kov [3.2K]

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x-axis

Step-by-step explanation:

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a rectangular pyramid has a volume of 190 cubic centimeters. Find two possible sets of measurements for the base area and height
DerKrebs [107]
<h3>One possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively</h3><h3>Other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively</h3>

<em><u>Solution:</u></em>

<em><u>The volume of rectangular pyramid is given as:</u></em>

Volume = \frac{1}{3} \times base\ area \times height

Given that,

<em><u>Rectangular pyramid has a volume of 190 cubic centimeters</u></em>

<em><u></u></em>190= \frac{1}{3} \times base\ area \times height<em><u></u></em>

<em><u>Substitute, base area = 570 and height = 1</u></em>

Then we get,

190 = \frac{1}{3} \times 570 \times 1\\\\190 = 190

Thus one possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively

<em><u>Substitute, base area = 285 and height = 2</u></em>

190 = \frac{1}{3} \times 285 \times 2\\\\190 = \frac{1}{3} \times 570\\\\190 = 190

Thus other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively

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