Answer:
All you have to do is insert the first value where the x is, and the second value where the y is.
y = 3x + 5
11 = 3(2) + 5
11 = 6 + 5
11 = 11
So, this is right.
Now, let's check (3,13)
y = 3x + 5
13 = 3(3) + 5
13 = 9 + 5
13 = 14
This is NOT true. So, your answer is: Only (2,11)
Hope this helps!
Let the smallest angle = x
Then the larger one = 71x
Supplementary angles are always equal to 180o
x + 71x = 180o Add the left side
72x = 180 Divide by 72
x = 180/72
x = 2.5
The smallest angle = 2.5 degrees
The largest angle = 2.5 * 71
The largest angle= 177.5 degrees.
Answer: option D. 2x^2 + (3/2)x - 5
Explanation:
1) polynomials given:
f(x) = x/2 - 2 and g(x) = 2x^2 + x - 3
2) question: find (f + g) (x)
That means that f(x) + g(x), so you have to add up the two polynomials given.
3) x/2 - 2 + 2x^2 + x - 3
4) Combine like terms:
a) terms with x^2: you only have 2x^2, so it is not combined with other term.
b) terms with x: x/2 + x
that is a sum of fractions: x/2 + x = [x + 2x] / 2 = 3x / 2 = (3/2)x
c) constant terms: - 2 + (-3) = - 2 - 3 = - 5
5) Result: 2x^2 + (3/2)x - 5
That is the option d.
-4/2=-2
(-2)^2=4
the blank is +4
x^2-4x+4
factored
(x-2)^2
