Answer:
the two numbers are 16 and -25
Step-by-step explanation:
Let the two numbers be x and y
x+y=-9
x-y=-41
By substitution
y=-9-x
x-(-9-x)=-41
x+9+x=-41
2x=-41-9
2x=-50
x=-25
y=-9-(-25)
y=16
Answer:
67/100
Step-by-step explanation:
Find common denominators, note that what you do to the denominator, you must do to the numerator.
The common denominator is 100:
(3/10)(10/10) = (3 * 10)/(10 * 10) = 30/100
Add:
37/100 + 30/100 = 67/100
67/100 is your answer.
~
Answer:
Step-by-step explanation:
Given: In parallelogram DEFG,
DH = x + 1
HF = 3y
GH = 3x - 4
and HE = 5y + 1
Solution: Since, DH,HF, GH and HE represents the diagonals of the parallelogram and we know that the diagonals of the parallelogram bisect each other, therefore
x+1=3y (1)
3x-4=5y+1 (2)
Multiply equation (1) with 3 and then subtract equation (2) from it, we get
3x+3-3x+4=9y-5y-1
7=4y-1
y=2
Substituting the value of y=2 in equation (1), we get
x+1=3(2)
x=5
Therefore, the value of x and y are 5 and 2 respectively.
2.) dT/dt = -t^2 + 3t
dT = (-t^2 + 3t)dt
T = -t^3/3 + 3t^2/2 + C
at 4:00 AM
80 = -4^3/3 + 3*4^2/2 + C
C = 80 + 4^3/3 - 3*4^2/2
C = 77.33
T = -t^3/3 + 3t^2/2 + 77.33
at 8:00 AM
T = -8^3/3 + 3*8^2/2 + 77.33
T = 2.67 deg
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
