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Natalka [10]
3 years ago
10

What is the ray opposite to BA?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0
The answer is either BC or BD 
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Find the equation of the line that passes through the points (-5,7) and (2,3)
Olegator [25]

Answer:

y=-\frac{4}{7}x+4\frac{1}{7}

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= \frac{y_{1} - y_{2}  }{x_{1} - x_{2}  } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

y=-\frac{4}{7} x+b\\

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}

Last step: substitute the slope and y intercept into y=mx+b.

y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}

That is the answer to this problem.

I hope this helps.

3 0
3 years ago
Below are two parallel lines with a third line intersecting them.
Ulleksa [173]

Answer:

x = 88

Step-by-step explanation:

These angles are same side exterior angles, and when the lines are parallel, same side exterior angles are supplementary

x + 92 =180

Subtract 92 from each side

x+92-92=180-92

x =88

4 0
3 years ago
Read 2 more answers
Simplify the expression (128x^5/8x)^1/2
solong [7]

Answer: 4x'6

Step-by-step explanation:

Simplify x5 /8. Than, Equation at the end of step  1  :   x5   ——) • x)1) ÷ 4   8  

Step  2  :  2.1     16 = 24  (16)1 = (24)1 = 24  2.2    x6 raised to the 1 st power = x( 6 * 1 ) = x6

Step  3  :     24x6  Simplify   ————    4  

Dividing exponents :   3.1    24   divided by   22   = 2(4 - 2) = 22

which brings us to our final answer above

5 0
2 years ago
Find the value of k if the line y = kx + 2 goes through the point<br><br> A (-2, 4)
viktelen [127]

Answer:

k=-1

Step-by-step explanation:

check is the equation goes through the point (-2,4)

4=-(-2)+2

4=2+2

4=4

this line goes through the point (-2,4)

Hope this helps UwU...

7 0
3 years ago
A bakery uses 300 pounds of flour to make 120 wedding cakes of the same size. At this rate how many pounds of flour are needed t
ElenaW [278]
The answer is 13 minutes and b
4 0
2 years ago
Read 2 more answers
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