Answer:
A = 3W² + W + 1/8πW²
Step-by-step explanation:
rectangular window is L x W
semicircle is 1/2 πr²
r = 1/2 W
L = 3W + 1
A = W(3W + 1) + 1/2 π(1/2W)²
A = 3W² + W + 1/8πW²
Okay, So you have 24x+25=6y+7
Step 1: Pull out like factors : 24x + 18 + 6y = 6 • (4x + y + 3)
Step 2: 4x+y+3 = 0
y-intercept = -3/1 = -3.00000
x-intercept = -3/4 = -0.75000
Slope = -8.000/2.000 = -4.000
And bam, you have a straight line
3 in the power of ten means "10^3."
How to solve exponents is to multiply the number as many times as it's exponent. So in this case you will have to multiply ten, three times.
Which would mean that....
The answer is 10^3.
Hope this helps.
Answer:
The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.
To find the slope of f(x), we use the slope formula: m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.
To find the slope of g(x), we just look at the form it is in. It is written in slope-intercept form, y=mx+b, where m is the slope. The number in g(x) that would correspond to m is 5.
The y-intercept of f(x) is found by looking at the points. Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.
For g(x), we again look at the form y=mx+b. The number that corresponds with b is the y-intercept; in this case, it is 1. 1>-1, so g(x) has the larger y-intercept.
Answer:
Both answers will give an area of 2400 ft2
but with x=60 we have lawn dimensions -60 ft by -40 ft so this is out
x = 10 ft width for the sidewalk
Check: New lawn dimensions
(80-2x)(60-2x) = 60(40) = 2400 ft^2
Step-by-step explanation:
Draw a diagram:
We have a rectangle inside a rectangle.
The larger outside rectangle is the original lawn: 80ft by 60 ft with area 4800 ft2
The smaller inside rectangle is (80-2x)by(60-2x) where x is width of the new sidewalk.
Area of new lawn is 2400 ft^2
(80-2x)(60-2x) = 2400
4800 - 160x - 120x + 4x2 = 2400
4x2 - 280x + 2400 = 0
Factor out a 4
x2 - 70x + 600 = 0
(x-60)(x-10) = 0
x = 60 ft or x = 10 ft
