Answer: y = 2x+22
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Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
Applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
<h3>What are the Rules of Exponents?</h3>
Some of the rules of exponents to be applied are as follows:
<h3>What are Equivalent Expressions?</h3>
If two expressions have the same value, both are said to be equivalent expressions.
1. 
Answer: H
2. 3³/6² = 27/36 = 3/4
Answer: R
3. ![\frac{3^2}{3^5} = 3^{2 - 5} = 3^{-3]} = \frac{1}{3^3} = \frac{1}{27}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E2%7D%7B3%5E5%7D%20%3D%203%5E%7B2%20-%205%7D%20%3D%203%5E%7B-3%5D%7D%20%3D%20%5Cfrac%7B1%7D%7B3%5E3%7D%20%3D%20%5Cfrac%7B1%7D%7B27%7D)
Answer: M
4. 7²/7² = 49/49 = 7° = 1
Answer: J
5. 8^-2 = 1/8² = 1/64
Answer: A
6. (4²)(4³) = 4^(2 + 3) = 
Answer: L
7. (3²)³ = 3²*³ = 
8. 4° × 4^-1 = 1 × 1/4 = 1/4
Answer: E
9. 
= 1
Answer: U
10. 
Answer: I
11. 
= 1
Answer: D
12. 
Answer: F
13. 
= 8² = 64
Answer: S
14. 
1/2³ × 1/3² = 1/8 × 1/9 = 1/72
Answer: O
15. 
Answer: N
16. 
= 2
Answer: T
Thus, applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
Learn more about the rules of exponents on:
brainly.com/question/12140519
5.05 x 10 to the third power
Answer: 9.
Ratio = part/ whole
What we know
The corn tortillas = 7
The total # of tortillas = 16
We need to find the # of Flour tortillas
Total - corn = Flour
16 - 7 = x
16 - 7 = 9
So there are 9 Flour tortillas on the shelf.
I hope this was helpful.
