Input Data :
Point 1 ( x A , y A ) = (-6, -2)
Point 2 ( x B , y B ) = (1, -6)
Objective :
Find the distance between two given points on a line.
Formula :
Distance between two points = √ ( x B − x A )2 + ( y B − y A ) 2
Solution :
Distance between two points = √ ( 1 - -6 ) 2 + ( − 6 − − 2 ) 2
= √ 7 2 + ( − 4 ) 2
= √ 49 + 16
= √ 65 = 8.0623
Distance between points (-6, -2) and (1, -6) is 8.0623
Or 8!!
Best of luck!!
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Answer:
y= -5/3x + 8
Step-by-step explanation:
parallel lines have the same slope
5x + 3y = 6
3y = -5x + 6
y = -5/3x + 2
the new line will have the slope (-5/3x)
y = (-5/3x) + b
plug in the (x, y) value to find b
-2 = -5/3(6) + b
-2 = -10 + b
b = 8
your equation is: y= -5/3x + 8
Answer:
3 miles
Step-by-step explanation:
to find the amount of miles it is to the library you have to find how many miles it is when the minutes are zero
so when x = 0 what is y
0 + 7y = 21
7y = 21
y is 3
so that means the library is 3 miles away from his house
Remark
You'll see it a whole lot easier if you make a substitution so that it looks like something you have already seen
Solution
let y = x^2
x^4 = x^2 * x^2
x^4 = y * y
x^4 = y^2
Now the expression becomes
y^2 + 8 y - 9 = z
(y + 9)(y - 1) = z
Now put the x^2 back in.
(x^2 + 9) ( x^2 - 1) = z
x^2 - 1 becomes x + 1 and x - 1. At this level x^2 + 9 can't be factored.
Answer
(x^2 + 9) (x + 1)(x - 1)
Answer: 7546feet²
Step-by-step explanation:
Since the pen has 308 feet of fencing, this is the perimeter of the circular pen and we can get the raduus which goes thus:
Circumference of a circle = 2πr
2πr = 308
2 × 22/7 × r = 308
44/7 × r = 308
r = 308 × 7/44
r = 49
Therefore, area of the circular pen will be:
= πr²
= 22/7 × 49 × 49
= 7546feet²
