Answer:
1
Step-by-step explanation:
1) First, place the given equation in slope-intercept form (
format) to find its slope easier. Isolate the y:
So, the equation of the line in slope-intercept form is 
. When an equation is in slope-intercept form, the 
, or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.
2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.
To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as 
-- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.
Answer:
b+6
Problem:
If the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?
Step-by-step explanation:
We are given (b+c)/2=8 and d=3b-4.
We are asked to find (c+d)/2 in terms of variable, b.
We need to first solve (b+c)/2=8 for c.
Multiply both sides by 2: b+c=16.
Subtract b on both sides: c=16-b
Now let's plug in c=16-b and d=3b-4 into (c+d)/2:
([16-b]+[3b-4])/2
Combine like terms:
(12+2b)/2
Divide top and bottom by 2:
(6+1b)/1
Multiplicative identity property applied:
(6+b)/1
Anything divided by 1 is that anything:
(6+b)
6+b
b+6
We can treat this problem like you regularly subtract fractions. First find the common denominator, which is 15.
So:
5(x+6)/15 = 30/15 + 3(x-2)/15
(5x+6)/15 - (30/15) - (3x - 6)/15
As you already know the answer, I'm assuming you can do the rest.
Hope this helps!
Answer:
Fourth choice, 1/6
Step-by-step explanation:
15 + 8 + 10 + 12 + 15 = 60
Out of 60 cards, 10 of them is the go again card, so it's 10/60 which simplified is 1/6
Step-by-step explanation:
(3×6) + (2×6)
= 18 + 12
= 30 in²
