I did say the answer is $35. Because, you should use the highest factor or whatever operation the problem is using, to find the answer. Not sure if it's some two-step problem....
Answer: C) exactly one triangle
<u>Step-by-step explanation:</u>
Given: ∠A = 45°, ∠B = 65°, side c = 4 cm
By the Triangle Sum Theorem, ∠C = 70°
Now you have a proportion so you can use the Law of Sines to find the exact length of side a and of side b.

Thus, there is exactly one triangle.
We need to solve the zeroes of the given expression x² - 13x + 30 = 0 and we need to apply zero product property.First, we need to identify the two numbers which will result to -13 when added and it will result to 30 when multiplied. These two numbers are -3 and -10. Then, we can proceed with the solution such as:
x² - 13x + 30 = 0
(x-3) (x- 10) =0
From above, we have already the two zero product:
x-3 = 0
x1 = 3
x-10 =0
x2 =10
The answers are x1 = 3 and x2 = 10.
Answer:
6x² - 2x - 6
Step-by-step explanation:
note (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 6x² - 4 - (2x + 2) ← distribute
= 6x² - 4 - 2x - 2 ← collect like terms
= 6x² - 2x - 6
Answer:
f(x) = 2x^2 - 6x - 20.
Step-by-step explanation:
(-2, 0) and (5, 0) are 2 zeroes of the function so we can write the function as
f(x) = a(x + 2)(x - 5) where a is a constant.
Now as (4, -12) is a point on the graph:
-12 = a(4 + 2)(4 - 5)
-12 = a * 6 * -1
-6a = -12
a = 2.
So f(x) = 2(x + 2)(x - 5)
f(x) = 2x^2 - 6x - 20.