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3 years ago

Which expression is a perfect cube?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

7 0

Answer:

-1,331m¹⁸n¹⁵p²¹ = (-11m⁶n⁵p⁷)³

Step-by-step explanation:

The cube root of 1452 is about 11.32371348.... It is not a perfect cube. The cube root of 1331 is 11, so the cube root of -1331 is -11. Either way, the number ±1331 is a perfect cube.

In order for the constellation of variables to be a perfect cube, all the exponents need to be multiples of 3. 22 is not a multiple of 3.

These criteria eliminate the 1st, 3rd, and 4th answer choices, leaving only the 2nd choice.

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A radio transmission tower is 170 feet tall. how long should a guy wire be if it is attached 15 feet from the top and is to make

beks73 [17]

The image of the given scenario is attached below.

A right angled triangle is formed, with one angle equal to 27 degrees. The perpendicular side is 155 and we are to find the length of guy wire which makes the hypotenuse of the right angled triangle.

Using the formula of sine, we can write:

$sin(27)= \frac{155}{x} \\ \\ 
x= \frac{155}{sin(27)} \\ \\ 
x=341$

Rounding to nearest whole number, the length of the guy wire that must be attached is 341 feet.

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3 years ago

Pythagorean theorem: Manuel purchases a rectangular picture

san4es73 [151]

Answer:

width = 15

Step-by-step explanation:

a² + b² = c² This the the formula

(PLUG IN)

8² + b² = 17²

64 + b² = 289 (subtract 64 on both sides)

b² = 225 (square root)

b = 15

Hope this helps ya!!

8 0

3 years ago

Find the value of x for which the graph of y = 3x^2 - 8x + 7 achieves its minimum y-value.

gulaghasi [49]

Answer:

<h3>The y value achieves its minimum at x = 4/3</h3>

Step-by-step explanation:

Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.

At the turning point, dy/dx = 0

Given y = 3x² - 8x + 7

$\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0$

$6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}$

The y value achieves its minimum at x = 4/3

7 0

2 years ago

5x-2y=2 slope intercept form?

Nata [24]

Answer:

$y = \frac{5}{2}x-1$

Step-by-step explanation:

Slope-intercept form is represented by the formula $y = mx + b$ . So, to place the given equation in slope-intercept form, isolate the y on the left side and arrange the terms in that matching order. Remember, whatever you do to one side, do to the other:

$5x-2y = 2\\-2y = -5x + 2\\\frac{-2}{-2}y = \frac{-5}{-2} x+\frac{2}{-2} \\y = \frac{5}{2} x-1$

So, the slope-intercept form is $y = \frac{5}{2}x-1$ .

6 0

3 years ago

A right triangle's hypotenuse has length 5. If one leg has length 3, what is the length of the other leg?

Paraphin [41]

Answer:

a^2 + b^2 = c^2
3^2 + b^2 = 5^2
9 + b^2 = 25
b = _/16
b = 4

Explanation:

Pythagorean Theorem

8 0

3 years ago

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