You have already done half of it. Now substitute for x1 = 4 and y = 5
y - 5 = 6/7(x - 4)
Multiply everything by 7 to remove fractions
7y - 35 = 6(x - 4)
7y - 35 = 6x - 24
-6x + 7y = -24 + 35
-6x + 7y = 11
Some people prefer a positive number in front of x so multiply by -1
6x - 7y = -11
You can check the answer by testing it works for both of the original points
6x4 - 7x5 = 24 - 35 = -11 true
6x-3 - 7x-1 = -18 - -7 = -11 true
Answer:
213
Step-by-step explanation:
The circumference of the wheel is given by
C=2πr=πd
Where d is diameter, r is radius and c is circumference
The number of revolutions N multiplied by circumference should yield the total distance
N*πd= Distance
Given distance of 20, 000 cm and diameter of 30 cm
30πN=20000
Making N the subject of formula
N=20000/(30π)=212.20659078919378102517835116335248271261
Rounded off, about 213 revolutions are required
Answer:
-8x^2-10x+12
Step-by-step explanation:
first set up the problem:
(-3x^2-7x+5)-(5x^2+3x-7)
Since you are subtracting you need to distribute the (-) sign:
(-3x^2‐7x+5)(-5x^2-3x+7)
Now just combine like terms
-3x^2+(-5x^2= -8x^2
(-7x+(-3x= -10x
5+7= 12
set answer in standard form:
-8x^2-10x+12
5 balls = 3.1 pounds
1 ball = 3.1 ÷ 5 = 0.62 pounds
3^1x3^1/3^1=3
Steps
3x1=3
3x1=3
3/3=3
Hope that helps
