Answer:
The slope is -2/3
Step-by-step explanation:
To find the slope of a line between two points, we use the equation
m = (y2-y1)/ (x2-x1)
where (x1,y1) and (x2,y2) are the two points
m = (12-8)/(4-10)
= 4/-6
= -2/3
The slope is -2/3
Answer:
-89.41887
Step-by-step explanation:
We are to solve for the value of the altitude of the given cylinder which has a radius of 5 feet and a lateral area of 70pi ft². To solve this we should recall that the formula in solving the lateral area of a cylinder is Lateral Area = 2pi*r*h. The solution is shown below:
r is equal to 5 ft
lateral area = 70pi
Solving for h, we have:
70pi = 2pi*5*h
70pi / 2pi = 5h
35 = 5h
divide both sides by 5, we have:
35/5 = 5h/5
7 = h
The answer for the length of the altitude is 7 feet.
Answers : A and D
Step - by - step explanation :
tip : when finding constant of proportionality it's always Y divided by X
A = what is 22.5 divided by 3 ? 7.5 ( now multiply 7.5 by the next X [ 4 ] )
what is 7.5 x 4 ? 30 ( and since on the graph it also says 30 then you can assume this one has a proportional relationship )
B = what is 12 divided by 3 ? 4 ( now multiply 4 by the next X [ 5 ] )
what is 4 x 5 ? 20 ( and because the graph says 25 then you know it's NOT a proportional relationship )
C = what is 8.5 divided by 2 ? 4.25 ( now multiply 4.25 by the next X [ 5 ] )
what is 4.25 x 5 ? 21.25 ( and because the graph says 22.5 then you know it's NOT a proportional relationship )
D = what is 10 divided by 2 ? 5 ( now multiply 5 by the next X [ 3 ] )
what is 5 x 3 ? 15 ( and since on the graph it also says 15 then you can assume this one has a proportional relationship )
( sorry it took me so long to write this )
Answer:
<u>Option 2</u>
Step-by-step explanation:
Evaluating the options :
<u>Option 1</u>
- 2 |x - 5| - 4 < -8
- 2 |x - 5| < -4
- |x - 5| < -2
- Empty set as modulus cannot be less than 0
<u>Option 2</u>
- |2x - 1| - 7 < -6
- |2x - 1| < 1
- x < 1
- There is a solution set other than empty set
<u>Option 2</u> is the right answer.
