ANSWER
1. k=13
2. x=-10
EXPLANATION
The given function is

To find f(x+5), plug in (x+5) wherever you see x.
This implies that:

Expand:

Simplify to obtain

We now compare with,

This implies that:

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.





The smallest zero is -10.
Answer:
a = 76 b = 22 c = 58 d = 68
Step-by-step explanation:
A. 180 - 133 = 47
so you have two angles found, which is 57 and 47. Add them together and subtract from 180. You get 76
B. 68 + 90 = 158
You subtract the 158 from 180 and get 22
C. This took some guess work, but when you multiply 58 by 2 you get 116. When subtracted from 180 you get 64. If you add 58 + 58 + 64, you get 180, so this made sense
D. There's an actual rule in trig that explains this, but I forgot it. If you look at the top angle, the other side of the line added to the 68 is a right angle. So you subtract 68 from 90 and get 12. Because there is already the right angle in the triangle, you just need the other two angles to equal 90, and because of the 68 that we found in the other triangle, this made sense.
Sorry, not the best at explanations. Hope that helped
Answer:
The length of fencing will be 
Step-by-step explanation:
Step 1
Find the dimensions of the rectangle
we know that
The area of a rectangle is equal to

In this problem we have

so
-----> equation A
-----> equation B
Substitute equation B in equation A

square root both sides

Find the value of b
-----> 
step 2
Find the length of fencing
The perimeter of a rectangle is equal to

we have


substitute

Answer:
284
Step-by-step explanation:
You have to start out multiplying the (parentheses), then the [brackets], then the {curly brackets}. After you're done with those you would add 2.
Answer:
The given triangle is NOT A RIGHT ANGLED TRIANGLE.
Step-by-step explanation:
Here, the three given sides of the triangle are:
8 units, 10 units and 12 units
Now, for any triangle to be a right angle:
by the PYTHAGORAS THEOREM:

The longest of all sides id the hypotenuse.
⇒ H = 12 units
Let us assume, B = 8 units, P = 10 units
Now, here checking the condition:

Hence, the given triangle is NOT A RIGHT ANGLED TRIANGLE.