Step-by-step explanation:
Answer:
x = 5.4
Step-by-step explanation:
3/x = 4/7.2
cross-multiply:
4x = 21.6
x = 5.4
The area of a full circle is given by
A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
A = (π/4)*r^2
The area of a parallelogram is the product of base length and height:
A = bh
Your composite figure will have an area that is the sum of the areas of the parts.
A = (quarter circle area) + (parallelogram area)
A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
A ≈ 223.86 in^2 ≈ 224 in^2
The most appropriate selection is the last one,
224 in^2
If each of the 28 students made at least $25, you would multiply 28 and 25 together to obtain the least amount of money the class raised. That gets, 28x25 = 700. The class made at least $700.
Answer:
Step-by-step explanation:
Let's examine the following general product of two binomials with variables x and y in different terms:
so we want the following to happen:
Notice as well that 
means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product 
, then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that 
are positive.
We can then try combinations for such as:
Just by selecting the first one 
we get that 
and since
This quadratic equation give as one of its solutions the integer: d = -2, and consequently,
Now we have a good combination of parameters to render the factoring form of the original trinomial:
which makes our factorization:
