When you have a coefficient in front of the "x^2" value, you have to multiply it by the end value (4)
so you want a set of integers that will add up to 29, by multiple to (7 x 4) = 28
The only numbers like that are 28 and 1, they add up to 29 and multiply to 29
Therefore, rewrite it like this 7x^2 + 28x + x + 4
and then factor out the 7x in the first two terms, to get this
7x(x+4) + x + 4, then factor out 1 in the latter two terms to get this:
7x(x+4) +1(x+4), then use grouping to combine what you've got:
The factors are: {{ (7x+1)(x+4) }}
Answer:
3.5.
Step-by-step explanation:
3^2 = 9
and 4^2 = 16 so the square root is between 3 and 4.
Take a rectangle 3.4 by 3.6:
the area = 3.4 * 3.6 = 12.24 so an estimate of the square root could be 3.5.
3.5 * 3.5 = 12.25.
The equation is 20x = 1200
x=1200÷20
x=60 rows
Answer:
276 4/7 ft
Step-by-step explanation:
Let r1 represent the radius of the inner circle. Then its circumference in feet is ...
C = 2πr
66 = 2π(r1)
If the radius of the outer circle is (r1 +44), then its circumference is ...
C = 2π(r1 +44) = 2π(r1) +2π(44)
C = 66 +88π
Then the difference in the circumferences is ...
(66 +88π) - (66) = 88π
Using the given value of π, the difference in circumferences is ...
(88 ft)(22/7) = 1936/7 ft = 276 4/7 ft
<u>Answer-</u>
<em>The height of the prism is</em><em> 6 units</em>
<u>Solution-</u>
As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.
So,
And,
Also,
Putting all the values,
As the volume is given, so
