Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
Answer:
V = 6079.04 ft³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here diameter = 22 , then r = 22 ÷ 2 = 11 and h = 16 , then
V = 3.14 × 11² × 16
= 3.14 × 121 × 16
≈ 6079.04 ft³ ( to the nearest hundredth )
To find the answer of this question, you have to multiply 25.60*0.35, since 35% equals 0.35 and the original price of the sweater was 25.60. After you do this, you should get $8.96 as the amount of the discount.
Question:
Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stopped to see how much farther he has to go. If Yan made eight stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan and climbed?
4+4+4+4
8+8+8+8
(-1)(4+4+4+4)
(-8) + (-8) + (-8) + (-8)
Answer:
Step-by-step explanation:
Given
<em></em>
<em> --- It is negative because he is climbing down</em>
Required
An expression for the number of rungs climbed
To do this, we simply multiply the number of rungs by the steps taken.
This can be rewritten as:
The product, when written as sum is:
Answer:
0
Step-by-step explanation:
Its Nor positive nor negative
