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3 years ago

Help help help pls pls

Mathematics

1 answer:

olganol [36]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(3, 3 ) → (- 3, 3 )

(3, 4 ) → (- 4, 3 )

(5, 3 ) → (- 3, 5 )

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10. Given that (3 x 5) x (3 x 5) x (3 x 5) = 3,375, find the cube root of 3,375.

Sloan [31]

Answer:

Step-by-step explanation:

3375 is said to be a perfect cube because 15 x 15 x 15 is equal to 3375.

∛(15 x 15 x 15) = 15

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3 years ago

The sum of two numbers is 53 and the difference is 27. What are the numbers?

ikadub [295]

Answer:

The numbers are 39 and 14.

Step-by-step explanation:

Equation 1, sum of the numbers:

x + y = 53

Equation 2, difference of the numbers:

x - y = 25

System of equations:

x + y = 53

x - y = 25

----------------

2x = 78

x = 39

Solve for y:

39 + y = 53

y = 14

The numbers are 39 and 14.

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3 years ago

If you place a 17-foot ladder against the top of a 8-foot building, how many feet will the bottom of the ladder be from the bott

Goshia [24]

Answer:

15 feet

Step-by-step explanation:

This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.

The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.

1. Plug your given values correctly into the Pythagorean Theorem.

$a^{2} + b^{2} = c^{2}$

$8^{2} + b^{2} = 17^{2}$

2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).

$8^{2} + b^{2} = 17^{2}$ --> Square 8 and 17

$64 + b^{2} = 289$ --> Subtract 64 from both sides

$b^{2} = 225$ --> Square root both sides to get b by itself

b = 15

3. The distance is 15 feet

*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder

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3 years ago

The slope-intercept equation of a line is y= -7x-2. What are the slope and y-intercept of the line?

Naddik [55]

Slope is -7 and the y-intercept is -2

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3 years ago

What is the perimeter and area of a rectangle with sides equal to 5 inches and 7 inches? Perimeter = _________________ inches ar

kolezko [41]

Area: 35 inches

Perimeter: 24

Here's how I got my answer:

<u>Area:</u> The formula for the area of a rectangle is $length * width$ . So if we plug that in, it would be $5 * 7$ , which is 35.

<u>Perimeter:</u> You can get the perimeter by adding all the sides together, which is $5 + 5 + 7 +7$ , which is 24.

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3 years ago