Answer:
y = -140
Step-by-step explanation:
Y varies directly with x
y = kx
We know y = -20 when x =2, we can solve for k
-20 = k*2
Divide each side by 2
-20/2= 2k/2
-10 =k
y = -10x
Now we want to find y when x = 14
y = -10 *14
y = -140
Answer:
2/6 of it or 1/3 chance you get a 2 or 5
Step-by-step explanation:
Answer:
(4, 10)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties<u>
</u>
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-5y + 8x = -18
5y + 2x = 58
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: 10x = 40
- [Division Property of Equality] Divide 10 on both sides: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [Original equation]: -5y + 8(4) = -18
- Multiply: -5y + 32 = -18
- [Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
- [Division Property of Equality] Divide -5 on both sides: y = 10
The answer is 4*\sqrt(2), or 5.7 if rounded to the nearest tenth digit. Notice that this is a right triangle (F is the right angle). The length of FG and FE are both 4 units on the diagram. Therefore, according to the Pythagorean theorem, the length of EG is \sqrt(4^2+4^2)=4*\sqrt(2), which is about 5.7.