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defon
3 years ago
6

Determine another point on the line given two points on the line. (-2, 9), (2, -1)

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer:

(4,-6)  

Step-by-step explanation:

1) First, let's find the slope of the line between the two points. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1}, substitute the x and y values of (-2,9) and (2,-1) into it, then solve:

m = \frac{(-1)-(9)}{(2)-(-2)}\\m = \frac{-1-9}{2+2} \\m =\frac{-10}{4} \\m = -\frac{5}{2}

So, the slope of the line is -\frac{5}{2}.

2) Now, using that slope, let's find another point on the line. You can do this by drawing the two points on a graph (picture below). Now, remember that the slope is \frac{rise}{run}. So, starting from any of the two points (I chose (2,-1), as seen below) count 5 units down, then 2 units to the right. This gives an answer, (4,-6).

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What is one-fourth of 24
aev [14]

Answer:

6

Step-by-step explanation:

One fourth is ÷4

24÷4=6

8 0
2 years ago
Read 2 more answers
......... HELP PLEASE
lapo4ka [179]

Answer:

0.4 I'm sorry if it wrong

8 0
3 years ago
GEOMETRY HELP ASAP I'M FAILING. I did the first half now i cant figure this out!!?
Shalnov [3]
OK, so;
BDE and BED are congruent because the opposite sides are both congruent
To find BDE and BED you must subtract 66 degrees from 180 degrees.
You are then left with 114 as the sum of both the angles you need to find
Since they are congruent, all you need to do is divide by two
114/2=57 degrees for both BDE (a) and BED(b)
Now for angle A and C;
This is easy because they are both congruent to the first two!
So basically, all of question four is "57 degrees"
 Sadly for number 5 i did not understand the question :"(
For 6 tho;
AC is parallel to DE because angle C is congruent to angle BED 
All the others can be ruled out 
For 7;
BD is half the length of AE, so:
 4x+20=2(3x+5)
4x+20=6x+10
20=2x+10
10=2x
x=5
 This means BD is 20 bc
3(5)+5
15+5
20
 And AE is 40 bc
20X2=40
or...
4(5)+20



5 0
3 years ago
Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-
AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

a)

\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\

So, this integral is convergent.

b)

\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\

So, this integral is divergent.

c)

\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\

So, this integral is divergent.

4 0
3 years ago
Z=<br><br> 37 <br><br> 51 <br><br> 39<br><br> Triangles and Trigonometry
san4es73 [151]

Answer:

z =  { \tan( \frac{10}{8} ) }^{ - 1}  \\ z =(51.34019174591)

So the corect answer is (51)

5 0
3 years ago
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