Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from table.</em>
Point (-1, -1)
Point (0, -5)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>. Rate of change and slope are identical.
- Substitute [SF]:

- Add:

- Divide:

Answer:
4 sqrt(2) - sqrt(70)
Step-by-step explanation:
Simplify the following:
(4 sqrt(14) + 4 sqrt(10)) (3 sqrt(7) - 4 sqrt(5))
Factor 4 out of 4 sqrt(14) + 4 sqrt(10) giving 4 (sqrt(14) + sqrt(10)):
4 (sqrt(14) + sqrt(10)) (3 sqrt(7) - 4 sqrt(5))
(sqrt(10) + sqrt(14)) (3 sqrt(7) - 4 sqrt(5)) = sqrt(10) (-4 sqrt(5)) + sqrt(10)×3 sqrt(7) + sqrt(14) (-4 sqrt(5)) + sqrt(14)×3 sqrt(7) = -20 sqrt(2) + 3 sqrt(70) - 4 sqrt(70) + 21 sqrt(2) = sqrt(2) - sqrt(70):
Answer: 4 sqrt(2) - sqrt(70)
Answer:1490
Step-by-step explanation:so while solving this question, you want to make sure the decimals are on top of each other. 8+8 is 16 so you write 6 and carry 1. 4+9 is 13 +1 =14, write 4 carry one across the decimals. 5+4 is 9 plus 1 equals 10 write zero carry 1. 7+1 is 8 plus 1 is 9 so you write that down and since 1 and 4 have no numbers under them, you write it down too giving you 1490.46
Answer:
No, the rock will not hit the water in 2 second but it will hit the water in t ≅ 2.17 second
Step-by-step explanation:
Let the distance be s in feet. i.e,
where t is in second.
You drop a rock from a bridge that is 75 feet above the water.
Use the expression
to solve for t:
Given: s =75 feet
then, substitute in the above expression:
or we can write it as:
or
⇒ t = 2.16506351 or t ≅2.17 second
Therefore, the rock hit the water in t≅2.17 second