Let's call he width of the notebook w and the length l
w*l=80
2(w+l)=36
w+l=18
w=18-l
(18-l)*l=80
-l^2+18*l-80=0
l=8 or 10
Therefore, the notebook is 8 by 10 inches
1.) 75 x .62 = 46.5 I multiplied by .62 because the kph to mph ratio is 1:.62
2.) 20 x 1.6 = 32 I multiplied by 1.6 because that's how many km are in a mile.
Answer:
(-2,-1)
Step-by-step explanation:
let the number=x
its reciprocal=1/x
x+2(1/x)=-3
x+2/x=-3
x²+2=-3x
x²+3x+2=0
(x+2)(x+1)=0
x=-2,-1
Answer:
The angles are 24° and 66°.
Step-by-step explanation:
Let two angles be x and y.
For two complementary angles,
x+y = 90 ...(1)
ATQ,
x-y = 42 ...(2)
We need to find the measures of the angles.
Add equation (1) and (2).
x+y+x-y = 90+42
2x = 132
x = 66
Put the value of x in equation (1)
66+y = 90
y = 90-66
y = 24
So, the angles are 24° and 66°.
Multiply out <span>f(x)=(x-8)(x-2): f(x) = x^2 - 8x - 2x + 16, or f(x) = 1x^2 - 10x + 16.
Thus, a=1, b= -10 and c=16.
One of several ways to find the vertex involves "completing the square."
x^2 - 10x + 16 = x^2 - 10x + 25 - 25 + 16, or y = (x-5)^2 -9, or y+9=(x-5)^2.
Compare this result to y-k = a(x-h)^2. We see that h=5 and k=-9.
Thus, the vertex is at (h,k) = (5, -9). </span>
