The answer is c, or 3b+6!!
Answer:

Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

Therefore, the value of x is 11.
You can double-check using the sine ratio:

Insert the values:

Insert the equation into a calculator:

:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
Answer:
- 6
Step-by-step explanation:
Given
y = 3(x - 1)(x + 2) ← expand factors using FOIL
= 3(x² + x - 2) ← distribute by 3
= 3x² + 3x - 6
To find the y- intercept let x = 0, thus
y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6
Thus y- intercept = - 6 ⇒ (0, - 6 )
Answer:
<u>BC = 3.1666</u>
Step-by-step explanation:
To solve this you need to know that cosine∅ = adjacent/hypotenuse. We already know that hypotenuse = 5 and that ∅ = 70*. By substituting these in you will get cosine 70* = adjacent/5. Evaluate cosine 70* on the calculator and get 0.633... Multiply both sides by 5 and get adjacent is about equal to 3.1666. Because BC is the adjacent side of the triangle, this is the length of BC.
Answer: B
Step-by-step explanation:
the sum of any two sides is bigger than the third side... so 5+9= 14, bigger than 6. 5+6=11, greater than 9. 9+6=15, bigger than 5.