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Ksju [112]
3 years ago
11

How do you do this?????

Mathematics
1 answer:
o-na [289]3 years ago
3 0

y = 2x - 9

Step-by-step explanation:

Let's rewrite the given equation such that only y is on the left side and everything else on the right side:

3x + 6y = -30 \Rightarrow 6y = -3x - 30

Simplifying this by dividing by 6, we get

y = -\frac{1}{2}x - 5

This line has a slope of -1/2, which means that a line perpendicular to this has a slope of 2 (i.e., negative reciprocal). So we can write its equation as

y = 2x + b

This is the slope-intercept form of the equation of the line perpendicular to our given line. To complete this form, we need to find the value of b. Since this line passes through (1, -7), put these numbers into our equation to get

-7 = 2(1) + b \Rightarrow b = -9

Therefore, the slope-intercept form of the equation can be written as

y = 2x - 9

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A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro
Advocard [28]

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

3 0
3 years ago
Each painting class Olivia teaches is h hours long. She teaches 6 classes per week. Write an expression that shows the total num
raketka [301]

Answer:

6h

Step-by-step explanation:

If Olivia teaches 6 classes that are 1 hour, she teaches 6×1 is 6 hours.

If the classes are two hours, she teaches 6×2 is 12 hours.

Try with numbers to see what math operation you are doing. Its times.

6×h is written 6h

5 0
2 years ago
I’m really bad at math lol someone help
Llana [10]

Answer: The answer is the last one


Step-by-step explanation:First you have to know what exterior angles equal


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3 years ago
A shirt originally cost $39.39, but it is on sale for $27.57. What is the percentage decrease of the price of the shirt?
IgorLugansk [536]

30 percent decrease

Step-by-step explanation:

looking at this i know its a percent decrease

so how do we find percent decrease ?

first we subtract the first value 39.39 & the final value 27.57

39.39-27.57 = 11.82

then we divide 11.82 by the first value

like this 11.82÷39.39 = 0.3000

then we multiply what we got by 100

0.3000×100= 30 percent

the way that most people mess up is when they divide sometimes they might do 39.39 divided by 11.82 instead of 11.82÷39.39.

3 0
3 years ago
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Answer:

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