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alukav5142 [94]
3 years ago
9

Determine if the two triangles are congruent. If they are, state how you know.

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0
Rules for congruency .

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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
H(x)=4x-2 find h(-9)
ki77a [65]

Answer:

34

Step-by-step explanation:

H(x) = 4x-2

H(-9) = 4(9)-2

H(-9) = 36 -2

H(-9) = 34

7 0
3 years ago
What's 93 divided by 4 and need work to prove that I did it
luda_lava [24]
93/4

9/4=2r1

13/4=4r1

10/4=2r2

20/5=4

=23.25
4 0
3 years ago
  Please help this is due today please i really need help it’s due in 4 hours!!!
Anarel [89]

Answer:

y=36 and X=44

Step-by-step explanation:

7 0
2 years ago
1.ayah bersepeda motor ke rumah nenek yang jaraknya 9 km dalam waktu 15 menit.berapa km / jam kecepatan sepeda motor?
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Halkalar ne zaman istersen gel ben
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