Answer:
<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>
Radius is 3
Height is 2
So,
Volume = πr²h
Volume = 3.14 × (3)² × 2
Volume = 3.14 × 9 × 2
Volume = 3.14 × 18
Volume = 56.5 units²
13 = 1.625 * 8
26 = 1.625 * 16
39 = 1.625 * 24
Therefore y vary directly with x.
Answer: C ) yes ; y = 1.625 x
Hi there! With equations like this we want to get our variable on one side and and our constant on the other.
So with 2x + 3 = -7 you'd subtract the constant 3 from both sides of the equal sign to get 2x = -10, then you'd divide both sides by 2 to get x = -5. If you double check your work by replacing x in the original equation with our answer we'd find that 2(-5) + 3 = -7 is correct.
Hope you find this helpful :)
Answer:
slope = - 6, y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
0 = 2x -
+
y ( multiply through by 3 to clear the fractions )
0 = 6x - 5 + y ( subtract 6x - 5 from both sides )
- 6x + 5 = y , that is
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6 and y- intercept c = 5
First blank: sin. C = h/a
The ratio for sin. is opposite (the height) over hypotenuse (a).
Second blank: Area = (1/2)b(a sin. C)
In this substitution, we are substituting the value of h into the traditional area of a triangle formula.
Third Blank: Area = (1/2)ab(sin C)
We are using the commutative property to move the position of a.
Hope this helps and good luck in your classes!