Just general definitons:
a TRInomial has 3 terms (tri means three)
a BInomial has 2 terms (bi means two)
a MONOmial has 1 term (mono means one)
the degree is the highest exponent found in the algebraic expression
so they should be pretty easy to solve with that information, but just in case:
1. trinomial, degree of 4
2. binomial, degree of 3
3. monomial, degree of 2
for the final question, all you have to do is plug in 2 for x, so
(2)^2 - 2(2) + 1
4 - 4 + 1
so the answer is 1
Steps:
1. Substitute the y in 4x + 10 with -5x-10
-5x-10= 4x + 10
2. Add 5x on both sides
-10= 9x + 10
3. Subtract 10 on both sides
-20= 9x
4. Divide by 9 on both sides
5. Your answer is
X= -20/9
We know the area of the middle rectangle is 48 (length * width). removing that rectangle leaves us with two semicircles. you can combine those semicircles to be the equivalent of one circle. the area for a circle is r^2 * pi. we know the diameter is 4 because that is where we cut the semicircles. radius is half the diameter, so r is 2. 2^2 is 4, 4* pi is 12.56. add 12.56 (area of semicircles) with 48 (area of rectangle) and we get 60.56
D. 5x+5y=10
The other 3 could be simplified further and have no y value.
Hope that helps
Answer:
578 + 48 square inches
Step-by-step explanation:
The computation of the area of the purple band is as follows:
Area of the green square = side^2 = x^ square inches
And, the area of the orange square = side^2
The side would be = = 12 + 12 +x = 24 + x
And, now the area would be = (x + 24)^2
Now the area of the orange band is
= Area of the orange square area of the green square
= (x + 24)^2 - x^2
= x^2 + 24^2 + 48 - x^2
= 578 + 48 square inches