Answer:
z = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Distributive Property
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
42 = -7(z - 3)
<u>Step 2: Solve for </u><em><u>z</u></em>
- [Distributive Property] Distribute -7: 42 = -7z + 21
- [Subtraction Property of Equality] Subtract 21 on both sides: 21 = -7z
- [Division Property of Equality] Divide -7 on both sides: -3 = z
- Rewrite: z = -3
The formula of a distance between two points:

We have the points (-3, 3) and (5, 0).
Substitute the coordinates of the points to the formula:

Answer:
Answer:
Pythagoras law:h²=p²+b²
needed to apply
4²+8²=12²
80≠144 not a right angled triangle
again
2²+√5²=3²
9=9/
<em><u>side</u></em><em><u> </u></em><em><u>are</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>right</u></em><em><u> </u></em><em><u>angled</u></em><em><u> </u></em><em><u>triangle</u></em>
again
2²+2²=(√8)²
4+4=8
8=8
<em><u>side are a right angled triangle</u></em>