To factor both numerator and denominator in this rational expression we are going to substitute
with
; so
and
. This way we can rewrite the expression as follows:
Now we have two much easier to factor expressions of the form
. For the numerator we need to find two numbers whose product is
(30) and its sum
(-11); those numbers are -5 and -6.
and
.
Similarly, for the denominator those numbers are -2 and -5.
and
. Now we can factor both numerator and denominator:
Notice that we have
in both numerator and denominator, so we can cancel those out:
But remember than
, so lets replace that to get back to our original variable:
Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is
<span>surface area=4π<span>r2</span>=2700 c<span>m2</span></span>
<span><span>r2</span>=<span>2700<span>4π</span></span>=<span>2700<span>4×3</span></span>=225</span>
<span>r=<span>225<span>−−−</span>√</span>=15</span>
<span><span>volume=<span>43</span>π<span>r3</span>=<span>43</span>×3×<span>153</span>=13500 c<span>m3</span></span></span>
I do not understand the context of your question, you need extra information to find this out like a picture or a word problem.
If the angles equal each other you would have to solve for x when angle 7 and 8 equal each other. SO... based on that, x would equal 15. This means measure of angle 7 would equal 45 and measure of angle 8 would equal 45. This may not be true because I have no idea what you are asking
Answer:
y=-2x+2
Step-by-step explanation:
The slope is -2x, meaning that the y-intercept can be found by working backwards from the given point. If the y value of the point is 4, subtracting 2 to get you to the point (0, 2) would provide the y-intercept.
Slope Intercept form is y=mx+b (m is the slope, x is the entered value, b is the y intercept)
Answer:
The correct expression for the perimeter is 
see the explanation
Step-by-step explanation:
The complete question in the attached figure
Let
L ----> the length of rectangle
W ---> the width of rectangle
we know that
The perimeter of rectangle is equal to
In this problem we have
substitute the values
Simplify
so
Michelle didn't multiply the sum of length and width by 2
