Answer:
The slope:
Step-by-step explanation:
-To determine the slope of the following points shown, you need this formula:
(
represents the slope, 
represents the first coordinate and 
represents the second coordinate)
-Apply the following points to the formula:
Then, solve:
So, the slope is 
.
Answer: He will have $1974 in April.
Step-by-step explanation:
Given : Total money he earned = $2200
He spent $50 per month gym membership, a $68 monthly phone plan $48 monthly gas plan and $60 monthly fun plan.
So , Money he has left = Money he earned - Total expenditure
= $ ( 2200- (50+68+48+60))
= $ (2200- 226)
= $ 1974
Hence, He will have $1974 in April.
Answer:
Step-by-step explanation:
Let the solution to
2x^2 + x -1 =0
x^2+ (1/2)x -(1/2)
are a and b
Hence a + b = -(1/2) ( minus the coefficient of x )
ab = -1/2 (the constant)
A. We want to have an equation where the roots are a +5 and b+5.
Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.
The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.
So the equation is
x^2-(19/2)x + 22 =0
2x^2-19x + 44 =0
B. We want the roots to be 3a and 3b.
Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and
(3a)(3b) = 9(ab) =9(-1/2)=-9/2.
So the equation is
x^2 +(3/2) x -9/2 = 0
2x^2 + 3x -9 =0.
Step-by-step explanation:
always write what you know
circumference
U = 2 x pi x r
r = d/2
U = 39.25
rearrange and solve for r
U / (2 x pi) = r
solve for diameter
2r = d
The sample space is the final choice: <span>{B1,B2,B3,T1,T2,T3}
The sample space shows all of the possible outcomes of an event. In this case, there are 6 possible outcomes.
You could spin the top or bottom with each of the numbers.</span>
