Answer:
(x + 10)^2 + (-186)
Step-by-step explanation:
x^2 + 20x - 86 =
Move the constant term to the right leaving a space between the x-term and the constant term.
= x^2 + 20x - 86
To complete the square, take half of the x-term coefficient and square it.
Half of 20 is 10. 10 squared is 100. This is the number that completes the square. Add it right after the x-term. Now you need to subtract the same amount at the end.
= x^2 + 20x + 100 - 86 - 100
Since 100 was added and subtracted, the expression has the same value. The first three terms are a perfect square trinomial, so we write it as the square of a binomial.
= (x + 10)^2 - 186
Since you have an addition sign, we write -186 as a sum:
= (x + 10)^2 + (-186)
Answer:
D. 3(x+2) can be rewritten as 3x + 6 using the distributive property
Step-by-step explanation:
Given
Required
Explain
From the list of given options, option D answers the question.
This is because, the expression above involves distributive property and only option D correctly states that.
A distributive property is:
In this case:
and 
So:
Substitute values for a, b and c
Answer:
(-1, -2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define</u>
-4x + 3y = -2
y = x - 1
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -4x + 3(x - 1) = -2
- [Distributive Property] Distribute 3: -4x + 3x - 3 = -2
- Combine like terms: -x - 3 = -2
- [Addition Property of Equality] Add 3 on both sides: -x = 1
- [Division Property of Equality] Divide -1 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [Original Equation]: y = -1 - 1
- Subtract: y = -2
Answer:
2.36 =C or your diagonal side
Step-by-step explanation:
You have rectangle that is
2 by 1.25
2² + 1.25² =C²
4 + 1.5625=C²
5.5625 = C²
2.36 =C
Answer:B
Step-by-step explanation:
