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NikAS [45]
3 years ago
10

Find the value of Y helpppp

Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0

Answer:

y = 4

Step-by-step explanation:

Both the triangles are congruent by SSS postulate.

Therefore,

4y + 8 = 24 \\ (corresponding \: sides \: of \:  \\ congruent  \:  \triangle s) \\ 4y = 24 - 8 \\  \\ 4y = 16 \\  \\ y =  \frac{16}{4}  \\  \\ y = 4

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4/5 is the answer unless you need it in decimal

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3 years ago
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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
4 years ago
Lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100
krok68 [10]

Answer:

Step-by-step explanation:

A

8 0
3 years ago
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Four diners have ordered a platter of desserts. The platter holds 8 chocolate chip cookies and 4 slices of chocolate cheesecake.
Furkat [3]

Answer:

P(Y>1 \cap Y

And we can find this probability like this:

P(Y>1 \cap Y

And we can replace the values and we got:

P(Y>1 \cap Y

Step-by-step explanation:

For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:

Y     |     0          1        2         3         4

P(Y) | 0.005  0.114  0.429  0.381  0.071

And we want to find the following probability:

P(Y>1 \cap Y

And we can find this probability like this:

P(Y>1 \cap Y

And we can replace the values and we got:

P(Y>1 \cap Y

3 0
3 years ago
I don’t even know what I’m doing
larisa86 [58]

Answer:

(8, -22)

Step-by-step explanation:

The tables each contain four (x,y) points of a straight line. You can see that for every increase of x by 2, y decreases by 8 in the first one (observe 26, 18, 10 2), and decreases by 6 in the second.

If you continue the table with x=4, 6 and 8, you get y=-22 in both cases for x=8. That is the intersection, so the solution is (8,-22).

Added a graph. The equations are y=10-4x and y=2-3x respectively. Hope you understand a bit of this (brief) explanation.

5 0
3 years ago
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