Answer:
Let the original number be x
Successor is defined as the number which comes immediately after a particular number.
also, the successor of a whole number is the number obtained by adding 1 to that number.
Then, the successor of a number x is, x+1
As per the given condition :
we have;
Using distributive property on LHS (i.e, 
)
Then, we have
5x+5+x=83
Combine like terms;
6x+5=83
Subtract 5 from both the sides we get;
6x+5-5=83-5
Simplify:
6x=78
Divide both side by 6,
Simplify:
x =13
Therefore, the original number x is, 13
Y+6=7/1(x-6)
y=7/1x-48
hope that helps!
Answer:
y = 2x-5
Step-by-step explanation:
y = 2x+2
We know the slope of this line is 2 because it is in the form y =mx +b where m is the slope
We want a parallel line so it has the same slope
We can use the point slope form of the equation
y-y1 = m(x-x1)
y--1 = 2(x-2)
y+1 = 2(x-2)
Distribute
y+1 = 2x-4
Subtract 1 from each side
y+1-1 = 2x-4-1
y = 2x-5
This is in slope intercept form
Answer:
4 sqrt(2) - sqrt(70)
Step-by-step explanation:
Simplify the following:
(4 sqrt(14) + 4 sqrt(10)) (3 sqrt(7) - 4 sqrt(5))
Factor 4 out of 4 sqrt(14) + 4 sqrt(10) giving 4 (sqrt(14) + sqrt(10)):
4 (sqrt(14) + sqrt(10)) (3 sqrt(7) - 4 sqrt(5))
(sqrt(10) + sqrt(14)) (3 sqrt(7) - 4 sqrt(5)) = sqrt(10) (-4 sqrt(5)) + sqrt(10)×3 sqrt(7) + sqrt(14) (-4 sqrt(5)) + sqrt(14)×3 sqrt(7) = -20 sqrt(2) + 3 sqrt(70) - 4 sqrt(70) + 21 sqrt(2) = sqrt(2) - sqrt(70):
Answer: 4 sqrt(2) - sqrt(70)
