The answer is (C) the middle one
Answer:
Length=17
width=13
Step-by-step explanation:
W=width
L=length
Perimeter = 2w+2l since it's a rectangle
W=l-4 (given)
Plug into perimeter equation
Perimeter =(2l-8)+2l
=4l-8
60=4l-8
68=4l
17 =l
W=l-4=17-4=13
First, convert the equation to the standard equation of a parabola.
-1/4(y+4)=(x-3)^2 ---multiply -4 on both sides
y+4=-4(x-3)^2 ---subtract 4 on both sides
y=-4(x-3)^2-4
From the equation, we know that the parabola was moved by 3 to the right, because of (x-3)^2. So the axis of symmetry is x=3. Now look at the number in front of (x-3)^2. It is -4. Since it is negative, the parabola opens downwards.
Answer:
The larger angle is 143
Step-by-step explanation:
x + y = 180 (This is the meaning of supplementary. Two angles make up 180 degrees)
4x - 5 = y
x + (4x - 5) = 180 Remove the brackets.
x + 4x - 5 = 180
5x - 5 = 180 Add 5 to both sides
5x - 5 +5 = 180 + 5 Combine
5x = 185 Divide by 5
5x/5=185/5
x = 37
y = 4*37 - 5
y = 148 - 5
y = 143
Answer:
<h2>$16,104.35</h2>
Step-by-step explanation:
the expression for compound interest is given as
A=$20,000
P=?
r=7.25%=0.0725
n=52 weeks
t=3 year
the manager need to invest $16,104.35
