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jek_recluse [69]
3 years ago
5

What must be true about the slopes of two perpendicular lines, neither of which is vertical?

Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Here, we are to select which of the options best answer the question. The correct answer here is that the product of the slopes of the two lines is -1.

When we talk about perpendicular lines, these are lines that are at an angle of 90 degrees to each other.

These lines have slopes of which their product is -1. What this means is that one of the slopes is a negative reciprocal of the other. By multiplying these two slopes together, we get -1.

Say we have two perpendicular lines with slopes m1 and m2 respectively, the product of both slopes is equal to -1.

Mathematically in this case;

m1 * m2 = -1

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BRAINLIESTTT ASAP! PLEASE HELP ME :)
iren2701 [21]

Answer:

Here's what I get  

Step-by-step explanation:

a. Write an equation

(8x + 12y)² + (6x + 9y)²= (10x + 15y)²

b. Transform the equation

(i) Remove parentheses

64x² +192xy + 144y² + 36x² + 108xy + 81 y² = 100x² +300xy + 225y²

(ii) Combine like terms.

100 x² + 300xy + 225y² = 100x² +300xy + 225y²

The two sides are the same.

The equation is an identity.

3 0
3 years ago
What is the base in the following: -55 power to 4
Alik [6]

Answer:

-55

Step-by-step explanation:

It would be -55 because the exponent is 4. So, that would leave -55 to be the right answer.

7 0
3 years ago
Please help me similar triangles make no sense to me
blondinia [14]

Answer:

Step-by-step explanation:

Compare the ratios of the triangles like so:

Bigger to smaller

\frac{15}{10}=\frac{12}{8}

This statement is true. Both fractions simplified are equal to 1.5. Since they have the same ratios, they should be similar.

8 0
3 years ago
A hollow metallic cylinder is made from a metallic sheet of 2.4 cm thickness. The inner
butalik [34]

Answer:

The volume of the metal used is 5277.9 cm³.

Step-by-step explanation:

The volume of a cylinder is given by:

V = \pi r^{2} h

Where:

r: is the radius

h: is the height = 50 cm

The volume of metal (V_{m}) can be found by subtracting the internal volume (V_{i}) from the external volume (V_{e}):

V_{m} = V_{e} - V_{i}

V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h    

The external radius is given by the sum of the internal radius with the tickness:

r_{e} = t + r_{i}

Hence, the volume is:

V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3}

           

Therefore, the volume of the metal used is 5277.9 cm³.

I hope it helps you!                                                      

4 0
3 years ago
What is 4x+ 9y +3 (x+y) simplified?
RoseWind [281]

Answer:

7x+12y

Step-by-step explanation:

Simplify

4x+9y+3(x+y)

<em>Use the distributive property to multiply 3 by x+y. </em>

4x+9y+3x+3y

<em>Combine 4x and 3x to get 7x. </em>

7x+9y+3y

<em>Combine 9y and 3y to get 12y. </em>

7x+12y

8 0
3 years ago
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