Answer:
paper left = 168.56 units²
Step-by-step explanation:
first, figure the area of the square:
area of square = 28x28 = 784 units²
second, figure the area of the circle:
radius = 1/2of 28 = 14
area of circle = Pi x Radius² = (3.14)(14)² = 615.44 units²
subtract area of circle from area of square:
784 - 615.44 = 168.56 units²
Answer:
A. 1
B. 
.
Step-by-step explanation:
We have been given an equation of a line 
.
A. We know that slope of parallel lines is always equal,
We can see that slope of our given line is 1, therefore the slope of the line parallel to our given line would be 1.
B. We know that the product of slopes of two perpendicular lines is .
Let m represent slope of perpendicular to our given line, then:
Therefore the slope of the line perpendicular to our given line would be .
Find slope of line A:
Move into slope-intercept form y = mx+b
<span>5x + 8y = -9
8y = -5x - 9
y = (-5/8)x - 9/8
The slope of line A is -5/8.
If </span><span>Line B is perpendicular to line A, then
slope Line B = negative reciprocal of slope Line A</span>
<span>slope Line B = 8/5
So like B has the equation
y = (8/5)x + b
If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b:
</span>
<span>y = (8/5)x + b
10 = (8/5)·10 + b</span>
<span>10 = (8)·2 + b
10 = 16 + b
b = -6
So line B has equation </span>
<span>y = (8/5)x - 6
m = 8/5 and b = -6
so
m + b = 8/5 - 6 = 8/5 - 30/5 = -22/5
So m+b = -22/5 or -4.4 in decimal form
</span>
Answer:
Lesser = -
- 7 = -10.317
Greater = + - 7 = -3.683
Step-by-step explanation:
I am assuming you are asking for the lesser x solution and greater x solution.
(x + 7)^2 – 11 = 0
(x + 7)^2 = 11
x+7 = ±
x = ± - 7
Lesser = - - 7 = -10.317
Greater = + - 7 = -3.683
Answer:
B (-22 , 4)
Step-by-step explanation:
-16=(-10+x)/2
*2 *2
-10+x=-32
+10 +10
x=-22
6=(8+y)/2
*2 *2
12=8+y
-8 -8
4=y
so B(-22, 4)
