Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
We have to multiply those measurements to get the area of a living room
10.6 ft * 9.28 ft
98.368 ft^2
Answer: Choice B
rose bush: $10, shrub: $4
=========================================
Work Shown:
x = cost for one rose bush
y = cost for one shrub
Rob's equation: 8x+5y = 100
Amy's equation: 8x+8y = 112
Subtract the equations straight down (match terms)
8x - 8x = 0x = 0, x terms go away
5y-8y = -3y
100-112 = -12
After those three subtractions, we end up with this new equation: -3y = -12
That equation solves to y = 4 when you divide both sides by -3
Use this value of y to find x
8x+5y = 100
8x+5(4) = 100 ... replace y with 4
8x+20 = 100
8x+20-20 = 100-20 .... subtract 20 from both sides
8x = 80
8x/8 = 80/8 ... divide both sides by 8
x = 10
We end up with x = 10 and y = 4 pairing up. The two equations, when graphed, cross at the location (10,4). One rose bush costs $10 and one shrub costs $4.
the approximate circumference of a lid that will fit his frying is 34.5 inches .
<u>Step-by-step explanation:</u>
Here we have , Jonathan wants to buy a lid for his frying pan. The diameter of the pan is 11 inches. We need to find What is the approximate circumference of a lid that will fit his frying . Let's find out:
We know that a lid for his frying pan is basically in shape of circle , So we consider a lid for his frying pan as a circle ! Now ,
Circumference of circle = 
, r = radius
⇒ 
⇒ 
⇒ 
, D = Diameter = 11 inches
⇒ 
⇒ 
⇒ 
Therefore , the approximate circumference of a lid that will fit his frying is 34.5 inches .
Answer:
$18
Step-by-step explanation:
12 × $15 is $180, so Ryan apparently needs ...
$198 -180 = $18
more to purchase the bike.
