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RSB [31]
3 years ago
7

Determine the x-intercept, y-intercept, and slope of the line described by -3x+7y=-21

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

Comparing to Y = MX + c

M is the slope and c is intercept

-3x+7y=-21

7y = 3x - 21

y = 3/7x - 21/7

y = 3/7x - 3

Slope= 3/7

Intercept= -3

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The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le
faust18 [17]

Answer:

11 meters

Step-by-step explanation:

Lets say that  w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.  

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.  

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

6w + 6= 30

6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side

w = 4 which is done by dividing 6 on both sides

Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

That being said, the ANSWER is:

length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

4 0
3 years ago
Explain the distance formula. Then use it to calculate the distance between A(1,1) and B (7,-7)
crimeas [40]

The distance formula is given by:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }

We are given two points A and B as

A(1,1) and

B(7,-7)

so we have ,

x1 = 1 , y1=1

x2= 7 and y2=-7

Plugging these in the formula we have:

d=\sqrt{(7-1)^{2}+(-7-1)^{2} }

d=√(36+64)

d=√100

d=10

Answer: The distance between A(1,1) and B(7,-7) is 10

4 0
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Yes, 5/60, 5 divided by 5=1. 60 divided by 5= 12. Leaving you with 1/12. Meaning that both fractions are equivalent
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3 years ago
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HELP!!
Sergio [31]
It would end up being 2 dollars and 45 cents
6 0
3 years ago
The sum of two consecutive even integers is 226. what is the larger integer?
Ainat [17]
A because 114 - 2 = 112.
112 + 114 = 226!
5 0
3 years ago
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