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2 years ago

What is the slope of a line parallel 18x+15y=90

Mathematics

2 answers:

luda_lava [24]2 years ago

5 0

Answer:

-6/5

Step-by-step explanation:

Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.

Mrrafil [7]2 years ago

3 0

Answer:

$\displaystyle -1\frac{1}{5}$

Step-by-step explanation:

$\displaystyle 18x + 15y = 90 \hookrightarrow \frac{15y}{15} = \frac{-18x + 90}{15} \\ \\ \boxed{y = -1\frac{1}{5}x + 6}$

Parallel equations have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so −1⅕ remains as is.

I am joyous to assist you at any time.

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luda_lava [24]

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3 years ago

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3 years ago

Nuetrik [128]

Answer:

Distance LM = 5.20 unit (Approx.)

Step-by-step explanation:

Given coordinates;

L(1, 4, 7) and M(2, 9, 8)

Find:

Distance LM

Computation:

Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²

Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²

Distance LM = √(1)² + (5)² + (1)²

Distance LM = √1 + 25 + 1

Distance LM = √27

Distance LM = 3√3 unit

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Distance LM = 5.196

Distance LM = 5.20 unit (Approx.)

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3 years ago

A fish tank contains 24 L of water. Water is added to increase the volume by 12.5%. What is the new volume of water in the tank?

Ronch [10]

Answer:

27 L

Step-by-step explanation:

To find 12.5% of 24, move the decimal all the way to the left and multiply 24 by 0.125. You get 3, which is how much was added to the original volume.

24 + 3 = 27, which is the new volume.

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2 years ago

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

Mrac [35]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that