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zzz [600]
3 years ago
10

Write the equation of the line that passes through the points (-8,-1) and (5,-7). Put your answer in fully reduced point-slope f

orm, unless it is a vertical or horizontal line
Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

The answer to the question provided is:

y  + 1 =  -  \frac{6}{13} (x  + 8)

Step-by-step explanation:

❃Incase you forgot what the point-slope formula is ☟

y - y_1 = m(x - x_1)

❃Incase you also forgot, what the slope formula is ☟

m = \frac{y_2 - y_1}{x_2 - x_1}

➊ First: We are going to be solving for the slope.

m =  \frac{  - 7 - ( - 1)}{5 - ( - 8)}  =  \frac{ - 6}{ \:  13}  =  -  \frac{6}{13}

➋Second: Plug in.

y  + 1 =  -  \frac{6}{13} (x  + 8)

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Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
riadik2000 [5.3K]
<span>First of all to calculate the distance between two points we can use distance formula
   
d=Square Root [(x2-x1)^2 + (y2-y1)^2]
   
Now substitute the given points p(x1,y1) and q(x2,y2)in above distance formula
   
The values are X2=3, X1=8and Y2=8and Y1=2.
   
After Substituting the values
   
d=Square Root[(-5)^2+(6)^2]
   
d=Square Root(25+36]
   
d=Square Root[61]
   
d=7.8
   
7.8 is the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.</span>
7 0
3 years ago
Your parents offer you 50%<br> interest every day if you<br> invest your 4 dollars with<br> them.
N76 [4]

Answer:

b

Step-by-step explanation:

                                                     

6 0
2 years ago
Which of the following definitions is the best way to describe popular culture?
marin [14]

Answer:

A-cultural patterns that can change quickly and are accepted by the majority of people.

4 0
3 years ago
Jane is X years old. How old will she be in 2 year's time? How old will she be in 5 year's time?​
ch4aika [34]

Answer:

Jane's age = X

In 2 years time = X + 2

In 5 years time = X + 5

Step-by-step explanation:

Answer from Gauth math

6 0
2 years ago
Read 2 more answers
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equa
Aleonysh [2.5K]

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

7 0
2 years ago
Read 2 more answers
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