Y = -8/3x + 2...slope here is -8/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal of the slope -8/3, u just flip the slope and change the sign. So our perpendicular line will have a slope of 3/8.
y = mx + b
slope(m) = 3/8
(32,6)...x = 32 and y = 6
now we sub and find b, the y int
6 = 3/8(32) + b
6 = 12 + b
6 - 12 = b
-6 = b
so ur perpendicular equation is : y = 3/8x - 6
Answer: b; y intercept between 8 and 4
Step-by-step explanation:
1. a; 2/3
2. b; 3, all real numbers except x=2
3. a; $.75
4. c; intercepting at (-3,-3)
5. b; 5
6. a; starts at 3
7. b; 1975
8. b; y intercept between 8 and 4
Answer:
First part representing requirements for the length x>=5 ft
Second part yes
Step-by-step explanation:
Well, the formula for finding the area of a rectangle is l x w. In the question, it states that the pen must be 4 ft wide and to fit his requirements of the pen being at the minimum 20 ft^2 we have this inequality 4x>=20 which we must solve and we get x>=5 which means that this represents all of the possible lengths for the play space. For the second part, we know that to fufill Judah's requirements for square ft., our length must be greater than or equal to 5. Last time I was doing math, I'm pretty sure 5 1/2>5 which thus can be accepted as a length value, still meeting the requirements of at least 20ft^2 space for the play space.
114 feet because the widths are 17 and the lengths are 40. Which is 40+40+17+17=114
1. 904.78
2. 113.1
volume of a sphere is 4/3 pi r squared
