Answer:
Is this a poem or song?
Step-by-step explanation:
Answer:
1.x=-4+ y/2 - z/2
2. X=-4-y-z
3. x=y/3-2/3
Step-by-step explanation:
Answer:
y = -2x + 6
Step-by-step explanation:
y = -2x + b
-4 = -2(5) + b
-4 = -10 + b
6 = b
Scale factor is the ratio of two corresponding sides.
Here we have two triangles, where the preimage is the smaller triangle and the image is the larger triangle.
So scale factor =14/18 = 7/9
And to find the missing variable, we need to set the ratio.
7/9 = 28/x
Cross multiplying both sides
7x = 28*9
x = 36
Answer:
4
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>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
2x - y = 11
x + 3y = -5
<u>Step 2: Rewrite Systems</u>
2x - y = 11
- [Subtraction Property of Equality] Subtract 2x on both sides: -y = 11 - 2x
- [Division Property of Equality] Divide -1 on both sides: y = 2x - 11
<u>Step 3: Redefine Systems</u>
y = 2x - 11
x + 3y = -5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: x + 3(2x - 11) = -5
- [Distributive Property] Distribute 3: x + 6x - 33 = -5
- Combine like terms: 7x - 33 = -5
- [Addition Property of Equality] Add 33 on both sides: 7x = 28
- [Division Property of Equality] Divide 7 on both sides: x = 4
