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ohaa [14]
2 years ago
10

Find c such that (−3,−8), (−7,−6), and (c,4) lie on a line.

Mathematics
1 answer:
bearhunter [10]2 years ago
7 0
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.

Thus,

-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4

Then the following must be true:

4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7

Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
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What is the volume of the right rectangular prism?
kenny6666 [7]

Answer:

240

Step-by-step explanation:

V=width height  length  = 10 · 3 · 8 = 240

Hope this helped, have a wonderful day man!

4 0
2 years ago
Read 2 more answers
Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes four poems by Shakespeare
Tresset [83]
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.

So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.

At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39

The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
6 0
3 years ago
If the actual base of the window is 5 ft, what is the height of the actual window ​
pav-90 [236]

Answer:

5ft

Step-by-step explanation:

...........................

6 0
2 years ago
2x + 3y = 7 3x + 2y = 8
Kipish [7]

Answer:

\boxed{\sf \ \ \ x=2, \ \ y =1 \ \ \ }

Step-by-step explanation:

Hello,

Pls post the full question next time so that we can make sure what is expected.

I assume that you want to solve for (x,y)

   (1) 2x + 3y = 7

   (2) 3x + 2y = 8

2*(2)-3*(1) gives

2*3x + 2*2y - 3*2x - 3*3y = 2*8 - 3*7 = 16 - 21 = -5

6x - 6x + 4y -9y = -5

-5y=-5

y = 1

and we can replace in (1)

2x + 3*1 = 7

2x = 7 - 3 = 4

x = 2

hope this helps

7 0
3 years ago
Determine the length of AS.<br> A. 12<br> B. 18<br> C. 3<br> D. 6
krek1111 [17]

Answer:

C. 3

Step-by-step explanation:

2x+6

Divide 2 on both sides

x=3

3 0
2 years ago
Read 2 more answers
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