Answer:
A. 6
Step-by-step explanation:
Using the Pythagorean theorem which states that: <u>Hypotenus² = Opposite² + Adjacent²</u>
Where: hypotenus = 10, opposite = x, adjacent = 8
So:

Solving for x

Collect like terms to make x the subject of formula


square root both sides of the equation to find the value of x

Therefore: Option A is correct
Answer:

Step-by-step explanation:
----------------------------------------
Let's find the surface area of the pink rectangular prism first.




The surface area for the pink rectangular prism is
.
-------------------->>>>>
Now, let's find the surface area of the green rectangular prism.




The surface area for the green rectangular prism is 144
.
-------------------->>>>>
Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.


----------------------------------------
Hope this is helpful.
Answer:
converge
Step-by-step explanation:
The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.
Answer:
In a system, the substitution method is one of the 3 main ways to solve a system and can be very efficient at times.
<u>Skills needed: Systems, Algebra</u>
Step-by-step explanation:
1) Let's say we are given two equations below:

We can use substitution here by substituting in for
in the second equation. This means we put in
for
in the 2nd equation so we only have
variables in the equation, allowing us to solve for
.
2) Solving it out:

We essentially substitute in that value as seen in step 1. Steps 2 and 3 are just simplifying the left side and allowing for us to solve. Step 4 is where we divide by -16 on both sides to solve for x. Step 5 and 6 show us solving for y using the value for x. We get 
Answer:
(-2, -6)
Step-by-step explanation:
Slope: 1