The answer is: " (x − 8) (x + 3) " .
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" (x − 8) (x + 3) " are the factors of: " x² − 5x − 24 " .
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Explanation:
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Given: "x² − 5x − 24 " ; Factor this "trinomial" expression completely.
We notice the "-5x" and the "-24 .
What factors of "-24" add up to "-5" ?
-1 + 24 ? No.
-24 + 1 ? no.
-12 + 2 = -10? No.
12 + (-2) = 12 - 2 = 10 ? No.
-3 + 8 = 5 ? No.
-8 + 3 = -5 ? Yes!
So: " (x − 8) (x + 3) " are the factors of: " x² − 5x <span>− 24 " .
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Answer:
the answer for number 1 is 18
the answer for number 2 is 14
the answer for number 3 is 50
step 1
Find the measure of angle 1
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle ABC
90+58+<1=180
148+<1=180
<1=180-148
<1=32 degrees
step 2
Find the measure of angle 2
we know that
<2=<1 -----> bt vertical angles
so
<2=32 degrees
step 3
Find the measure of angle 3
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle CDE
32+108+<3=180
140+<3=180
<3=180-140
<3=40 degrees
Answer:
The fuel economy is 36 miles per gallon. For each mile 1/36 gallon will be used.
Initial volume is 13,2 gallons and x is the number of miles.
<u>Our equation is:</u>
or
Answer:

Step-by-step explanation:
The formula for the volume of a cone is:

Given:
- Radius = 2cm
- Height = 9cm
Let's plug these into the equation:

Now solve:

Therefore, the volume of the cone is 37.7cm^3.
<em>I hope this helps!!</em>
<em>- Kay :)</em>