Formula for the volume of a cylinder is pi radius squared times height so this one would be pi times 25 times 4 which approximately equals 314
The function rule in slope-intercept form is y = -4x -2
<h3>What is a function ?</h3>
A function is defined as the mathematical statement which defines relation between a dependent variable and an independent variable.
A function f(x) is graphed on the coordinate plane.
The equation for a straight line is given by
y = mx + c
Where m is the slope and c is the intercept on y axis
The intercept on y axis is -2
c = -2
At x = 0 , y =-2
At x = -1 , y =2
m =(2 -(-2))/(-1-0)
m = -4
Therefore ,the function rule in slope-intercept form is y = -4x -2 .
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Your drawing was much more helpful and informative than your statements in words and symbols.
I see that you want to evaluate (3/2)^2 times (8/15)^2.
You could combine these two expressions into one, as follows:
3*8
( ----------- )^2
2*15
This, in turn, can be simplified by reduction:
( 4/5 )^2. Expanded, this result gives us 16/25.
Next problem
----------------------------
( 9/4 )^4 * ( 4/3 )^3
9^4 4^3
First, focus on ( ------- ) * ( ----------- )
4^4 3^3
Now reduce 4^3 / 4^4: The end result is 1/4.
Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:
3^8 / 3^3. The end result is 3^5.
Putting this expression back together, we get 3^5 / 4 (answer)
X+5 = -2x + 12
-5 -5
x = -2x + 7
+2x +2x
3x = 7
x = 2 1/3
y = x + 5
y = 2 1/3 + 5
y = 7 1/3
Answer:
The equation of the line is y - 6 = -14/11(x + 4)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - -8)/(-4 - 7)
m = (6 + 8)/(-4 - 7)
m = 14/-11
m = -14/11
Now that we have the slope, we can use it and either point in point-slope form and solve for the equation.
y - y1 = m(x - x1)
y - 6 = -14/11(x + 4)