Answer:
(-1, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
10x + 6y = 14
-x - 6y = -23
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Add 2 equations together: 9x = -9
- Divide 9 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -x - 6y = -23
- Substitute in <em>x</em>: -(-1) - 6y = -23
- Multiply: 1 - 6y = -23
- Subtract 1 on both sides: -6y = -24
- Divide -6 on both sides: y = 4
Given: f(x) = 2x^2 +5sqrt(x-2)
Evaluate this for x=6:
f(6) = 2(6)^2 + 5sqrt(6-2) = 72 + 5(2) = 72 + 10 = 82 (answer)
Answer:
<u>5</u> is the GCF
Step-by-step explanation:
The factors of 35 are: 1,5,7,35
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 25 are: 1, 5, 25
The highest or greatest factors that all of them have in common is 5.
The height of the tree = 15.34m
What is height?
Height is a way to measure someone or something from base to top or head to toe. In other words, height tells how tall someone or something is.
Given,
the height of Jocelyn = 1.75m
At 1 pm = 43.85
She is sway from tree = 38.6
therefore, 43.85 - 38.6 = 5.25
Therefore, height
1.75/5.25 = h/43.35
5.25h = 76.73
therefore, height = 15.34
To know more about HEIGHT, visit:
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Place value can be used to subtract 4.23 and 2.75 because, in order to subtract, you must line up the whole numbers together, the tenths place together, and the hundredths place together.
Lining them up: Whole= W Tenths place= T Hundredths place= H
W T H
4 . 2 3
- 2 . 7 5
-------------------
1 . 4 8
