Answer:
( x + 7 ) ( x + 7 )
Step-by-step explanation:
Product = 49
Sum = 14
Factors = 7 & 7
x² + 14x + 49
( x + 7 ) ( x + 7 )
The surface area of a sphere is A = 4 π R² .
Sadly, the question doesn't give you 'R', so you have to
back it out of the circumference.
Circumference = π (diameter)
Divide each side by π : Diameter = circumference / π
Radius = 1/2 diameter: Radius = circumference / (2 π)
Area = 4 π R² =
4 π (circumference/2π)² =
4 π (circumference)² / 4 π²
Divide top and bottom by 4π : Area = (Circumference)² / π
Circumference = 37.68 units
Area = (37.68)² square units /π =
<em>451.93 square units</em>
A little bit of trained eyeballing can help here. Let me tell you how I saw the answer without any computation.
Remember that the expansion of a squared binomial is
So, the square of a binomial has the following properties, which you can easily spot:
- It has three terms
- Two of them are perfect squares
- The third is twice the product of the two roots.
Well, in this case we do have three terms, and indeed is the square of 11x, and 1 is the square of itself. The only thing we have to check is that 22x is twice the product of 11x and 1, which is true.
So, the answer is
If you want to see some explicit calculations, just use the quadratic formula
to see that there is a double solution , and then use the formula
to come to the same conclusion.
Answer: 240 cm^3
Explanation: you find the area of the base triangle with the formula 1/2 x b x h which in this case is 1/2 x 10 x 6 which = 30, you then multiply by the length, 8.
8 x 30 = 240
Answer:
y=x^2-13x+42
Step-by-step explanation:
y=(x-6) times (x-7)
y=x^2-7x-6x+42
collect like terms
y=x^2-13x+42
There you go