Answer:

Step-by-step explanation:
<u>Step 1: Distribute
</u>
<u />


<u>Step 2: Combine like terms
</u>
<u />

<u>Step 3: Subtract 7 from both sides
</u>
<u />
<u>Step 4: Add 2a to both sides
</u>
<u />

<u>Step 5: Divide both sides by 4
</u>
<u />

Answer: 
Na I don't wanna do this one
Answer:
9 in.
Step-by-step explanation:
Given that the 4 in and 10 in. lines are parallel, the two triangles are similar.
As such, the ratio of the sides would give the same results.
Hence,
4/6 = 10/(6 + x)
cross multiplying
4(6 + x) = 60
Dividing both sides by 4
6 + x = 15
collecting like terms
x = 15 - 6
= 9
Y2-y1/x2-x1 to find the gradient. So -1-8/4–8= -9/12. Then substitute into any of the coordinates. I chose -1=4(-9/12)+c. Rearrange to get c alone. Answer altogether is : y=-9/12x+2
<h3>
Answer:</h3>
The real solutions are -5, -4, 4, 5. There are no complex solutions.
<h3>
Step-by-step explanation:</h3>
The equation ...
... x^4 -41x^2 +400 = 0
can be factored as ...
... (x^2 -16)(x^2 -25) = 0
... (x -4)(x +4)(x -5)(x +5) = 0
So, all roots are real and are ...
... x ∈ {-5, -4, 4, 5}
_____
These are the values of x that make the factors zero.