Answer:
The independent quantity in the situation is the length of the diameter.
Step-by-step explanation:
Consider a relationship between two variables.
Of the two variables one variable is dependent upon the other.
Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variable values are changed.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.
In this case, it is provided that Grissom knows there is a relationship between the volume of the sphere and the length of its diameter.
With every sphere that Grissom draws, the volume of the sphere changes according to its diameter length.
That is the volume of the sphere depends upon the length of its diameter.
Thus, the independent quantity in the situation is the length of the diameter.
shorter side : longer side = 3 : 7
Equate 3 parts tp 9 inches:
3 parts = 9 inches
Find 1 part:
1 part = 9 ÷ 3 = 3 inches
Find 7 parts:
7 parts = 3 x 7 = 21 inches
Area = Length x Width = 21 x 9 = 189 in²
Answer: The longer side is 21in and the area is 189 in²
Answer:
See step by step answer
Step-by-step explanation:
the factors are (x+22)(x-10)=0
so x = -22 and 10, but a dimension cannot be negative, so the answer for x is 10 and then if you plug it back in the dimensions are 4 cm, 11 cm and 21 cm.
When you multiply 4 * 11 * 21 = 924, so you know it's correct.
Answer:
y= 5x+20
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
The slope is 5 and a point on the line is (-4,0)
Substituting this information into the equation, we can solve for b
0 = 5(-4) +b
0 = -20+b
Add 20 to each side
0+20 = -20+20+b
20 = b
y = 5x+20
