Answer:
(x - 2)*(x - 1) is the answer
Step-by-step explanation:
We have to divide the polynomial f(x) = x^{3}-8x^{2}+17x-10 by (x-5).
Now, after dividing f(x) gets simplified into (x-5)*(x^{2}-3x+2).
So, we need to factorize the quadratic equation x^{2}-3x+2.
i.e. x^{2} - 3x + 2 = x^{2} - x - 2x + 2 = x(x-1) - 2(x-1) = (x - 2)*(x - 1)
Therefore, f(x) again gets simplified into (x-5)*(x - 2)*(x - 1)
Now eliminating the common factor (x-5).
We get, = (x - 2)*(x - 1)
Answer:
70 m^2.
Step-by-step explanation:
Area of the triangle = 1/2 * base * height.
Counting the squares on the coordinate plane:
Base = 7, height = 5
Each square = 2 meters
So the area = 1/2 * 14 * 10
= 70m
The greatest number of students to whom 24 pens and 32 pencils can be equally divided is 8.
<u>Step-by-step explanation:</u>
We have to find the greatest number of students to whom 24 pens and 32 pencils can be equally divided. Let's calculate ratio of pens to pencils and then we will simplify , or we can find find HCF( Highest common factor) of pen & pencils and HCF will be the maximum number of students whom equally pens & pencils will be distributed. Ratio:
⇒
⇒
⇒
So ,
⇒
⇒
⇒
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Therefore, the greatest number of students to whom 24 pens and 32 pencils can be equally divided is 8.
Answer:
216.66
Step-by-step explanation:
If the diameter is 26 feet, then the area is half of 26, which is 13.
then you find the square root of the radius which is 169.
Then you multiply 169 by pi, which is described as 3.14.
And you get 216.66, so therefore, the answer is 216.66.
They always try to trick you with this. Remember anything 5 or above would round up, anything 4 and under would round down. So look for the tenth place. that's the 9. The number to the right is 8 which is greater than 5. That means round up. You can't round it to 0.1 because that takes it back down. So you just move it over. The answer is 1.0.