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4 years ago

Write an equation in slope-intercept form for the line that passes through (6, 6) and is perpendicular to -x+3y= -6

Mathematics

2 answers:

GREYUIT [131]4 years ago

8 0

Answer:

y= -3x+24

Step-by-step explanation:

First find the slope of the line

-x + 3y = -6

Add x to each side

3y = x-6

Divide by 3

3y/3 = 1/3 x -6/3

y = 1/3x -2

The slope is 1/3 since it is in the form y = mx+b where m is the slope

Perpendicular lines have slopes that multiply to -1

1/3 * m = -1

m = -1 * 3/1

m = -3

The slope of the perpendicular line is -3

Slope intercept form is

y = mx+b where m is the slope and b is the y interceot

y = -3x+b

We have a point ( 6,6)

6 = -3(6) +b

6 = -18+b

Add 18 to each side

6+18 = -18+b+18

24 = b

y= -3x+24

AleksandrR [38]4 years ago

8 0

Answer:

y= -3x+24

Step-by-step explanation:

hope this helps!

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What is the area of this composite shape?

ankoles [38]

Answer:

A. 132 units²

Step-by-step explanation:

The figure has already been broken into chunks, so there is no need to break it up any further.

I'll start with the top left triangle,

Formula for finding the area of triangles: (H x B) / 2

Following this formula, we take the height, 4, and multiply it by the base, 6.

4 x 6 = 24.

Now, we divide the product by 2:

24 / 2 = 12.

We now have the area for the triangle, it is time to move onto the second.

To find the height of the larger triangle, we add 4 and 4 together, giving us 8. To find the base, we subtract 6 from 15, giving us 9.

Now we multiply 8 and 9 together, then divide by 2

8 x 9 = 72

72 / 2 = 36

Now that we've found the area for both triangles, it is time to find the area of the rectangles.

Formula for finding the area of quadrilaterals such as rectangles and squares: L x W

I'll start with the smaller rectangle underneath the top left triangle:

6 x 4 = 24

Now, I'll move onto the bottom rectangle:

15 x 4 = 60

We have the areas of all the shapes in this figure, all we have left to do is to add them together:

60 + 24 + 36 + 12 = 132 units²

132 units² will be your answer.

<h2>I hope this helps!</h2>

6 0

4 years ago

Find the value for x and y for the triangle. Show work.

OleMash [197]

Answer:

tan60=p/b

tan60=12/x

x=37.5

now taking sin

sin60=p/h

sin60=12/y

y=(-40) but as length can be negative so

y=40

3 0

3 years ago

How would I write 8 centimeters as a fraction

Reptile [31]

If your referring to it when converted to inches, then 3.15 (3 15/100)
8 centimeters = 3.15 (3 15/100) inches

6 0

3 years ago

PLEASE QUICK what is the answer?

stepan [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding One-third the length of the directed lin

GrogVix [38]

The reason why partitioning and fractioning are different is because; The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

<h3>Why is partitioning different from fractioning?</h3>

It follows from the task content that a close analysis of the statement of ratios; 1:3 implies that the whole is divided into four parts; 1+3 = 4.

On the contrary, one-third simply means 1 out of 3 equal parts of the line.