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3 years ago

The equation of line q is 5y - 4x = 10. Write the standard fom of the equation of the line that fits the following description:

Mathematics

1 answer:

kumpel [21]3 years ago

7 0

<h3>Answer: -4x+5y = 100</h3>

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Explanation:

The given equation is the same as -4x+5y = 10

It is of the form Ax+By = C, where A = -4, B = 5, C = 10

Anything parallel to Ax+By = C is of the form Ax+By = D. The only difference is the C has changed to a D.

This means anything parallel to -4x+5y = 10 is -4x+5y = D, where D is not equal to 10, but it could be any other number.

Plug in the coordinates of (-15,8) to find the value of D

-4x+5y = D

-4(-15)+5(8) = D

60+40 = D

100 = D

D = 100

We have -4x+5y = D update to -4x+5y = 100

The equation -4x+5y = 100 is parallel to -4x+5y = 10, and it goes through (-15,8)

Parallel lines have the same slope, but different y intercepts.

Note how Ax+By = C has a slope of m = -B/A. This means A cannot be zero.

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The question and answer choices are listed in the picture.

zepelin [54]

Given:
$L=2 \pi r( \frac{x}{360})$

Solution:
If we want to find the solution for r, we need to move the r to the left side first. So I reverse the side
$2 \pi r( \frac{x}{360})=L$

Move 2π to the right side. Because on the left side 2π acts as numerator, after it's moved to the right side, it becomes denominator.
$2 \pi r( \frac{x}{360})=L$
$r( \frac{x}{360})= \frac{L}{2 \pi }$

Move 360 to the right side. Because on the left side 360 acts as denominator, after it's moved to the right side, it becomes numerator.
$r( \frac{x}{360})= \frac{L}{2 \pi }$
$r(x)= \frac{360L}{2 \pi }$

Move x to the right side. Because on the left side x acts as numerator, after it's moved to the right side, it becomes denominator.
$r(x)= \frac{360L}{2 \pi }$
$r= \frac{360L}{2 \pi x}$

Then simplify the fraction
$r= \frac{360L}{2 \pi x}$
$r= \frac{180L}{ \pi x}$

The answer is second option

5 0

3 years ago

How do you solve for x when there is a greater than or equal to sign

sammy [17]

Answer:

use the signs and swich them apart and make it equal

Step-by-step explanation:

3 0

3 years ago

Please someone help me i'm gonna cry lol

Fudgin [204]

$\sqrt{2}$ Answer:

Step-by-step explanation:

now the equations looks like

5-4*Cos(x) = y

when 45° gets plugged into Cos(x) we get $\sqrt{2}$ /2 again

5- 4 * ( $\sqrt{2}$ /2) = y

5-2 $\sqrt{2}$ =y

leave it in that form . it's exact that way

5 0

3 years ago

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L

NeTakaya

The composition of similarity transformations that maps Triangle LMN to TriangleL'M'N is a dilation with a scale factor less than 1 and then a reflection. Opion A. This is further explained below.

<h3>Which composition of similarity transformations maps TriangleLMN to TriangleL'M'N'?</h3>

Generally, In the case of a reflection across the y-axis, the y-coordinate of a point stays the same but the x-coordinate is changed into its inverse.

Triangle LMN has the coordinates (2, 1), (1, 1), and (1, 3).

(-4,-4) (-3,-4) (-3,-2).

In conclusion, Assuming that the coordinates (2, 1), (1, 1), and (1, 3) of Triangle LMN. This is the translation 5 units down (x,y-5): Two units to the right (x+2, y-5) of the coordinates (2,-4), (1,-4), and (1,-2): (4, -4), (3, -4), (3, -2)

It is a reflection along the y-axis, with coordinates of (-4,-4) and (-3,-4) (-3,-2)

Therefore, Triangle L'M'N' is the result of the transformation sequence in Option A.