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choli [55]
1 year ago
5

What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21

Mathematics
1 answer:
docker41 [41]1 year ago
3 0

The linear equation that is perpendicular to the line x+3y=21 is:

y = 3*x - 6

<h3>How to find the equation of the line?</h3>

A general line in the slope-intercept form is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

Two linear equations are perpendicular if the product between the two slopes is equal to -1.

Rewriting the given line we can get:

x +3y = 21

3y = 21 - x

y = 21/3 - x/3

y = (-1/3)*x + 21/3

Then the slope is (-1/3), if our line is perpendicular to this one, then:

m*(-1/3) = -1

m = 3

our line is:

y = 3*x + b

To find the value of b, we use the fact that our line passes through (1, - 3)

-3 = 3*1 + b

-3 - 3 = b

-6 = b

The line is y = 3*x - 6

Learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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How to convert .75 to 3/4
Travka [436]

Answer:

Back to your fraction 3/4, if you have 3 parts of 4, you have 3 25% slices which is 3 * 25% = 75%. Now that you have 3/4 as a percentage you simply have to covert the percent to a decimal. To do this you will just move the decimal 2 places to the left.

Step-by-step explanation:

mark me as the brainliest

8 0
2 years ago
Can anybody help me solve this? You must solve for X first. I will mark as brainliest if there is an explanation.
masha68 [24]

Answer:

106 degrees

Step-by-step explanation:

Since all the angles add up to 360 degrees we can find the value of x first and then substitute that value into angle VUX (12x+10)

11x + 1 + 12x + 10 + 75 + 90 = 360

23x + 176 = 360

23x = 184

x = 8

when x = 8,

<VUX = 12x + 10 = 12(8) + 10 = 106 degrees

8 0
3 years ago
Read 2 more answers
Suppose A = {2,5,7,9,13, 25, 26).<br>(a) Find n(A).<br>n(A) =<br>(b) T/F: 7. A​
charle [14.2K]

Answer:

a)   n (A) = 7

Step-by-step explanation:

Here, set A =  {2,5,7,9,13, 25, 26)

Noe, for any set A,

n (A) is defined as he total number of elements in the set A.

or, n(A) = CARNALITY OF SET A

Here,the number of elements in set A = 7

⇒ n (A) = 7

6 0
3 years ago
The cardboard box below is used by a company to package new laptops of the company plans to increase the length of the Box by 2i
harina [27]

Answer:

D

Step-by-step explanation:

3 0
2 years ago
Ronald measured a house and its lot and made a scale drawing. The front patio, which is 14 meters wide in real life, is 7 millim
zhannawk [14.2K]

Answer:

2 metre= 1millimetre

Step-by-step explanation:

From the measurement of the house The front patio, is 14 meters wide in real life, is 7 millimeters wide in the drawing

Real life= 14 meters

Drawing= 7 millimeters,

The scale he used is 2 metre= 1millimetre

Which means he magnify the drawing by scale of 2 metre to get the real life structure.

✓Let us clarify it

14 meters = 7 millimeters

2 metre= x millimeter

If we cross multiply

7 millimeters× 2 metre= 14 metre × X millimeters

Make X subject of the formula we have

X= 1millimetres

3 0
3 years ago
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