keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
so we're really looking for the equation of a line whose slope is 4 and passes through (-2 , 0)
B(-4; 1)
3 units right → x + 3
2 units down → y - 2
B'(-4 + 3; 1 - 2) → B'(-1; -1)
<span>Finding the volume of a cylinder or any other solid is found by multiplying the area of the base to the third dimension of height. The formula used to find the volume of a cylinder is pi times radius squared times height. Volume is measured in cubes or cubic </span>
Answer:
(-19, 55)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -3x - 2
5x + 2y = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-3x - 2) = 15
- Distribute 2: 5x - 6x - 4 = 15
- Combine like terms: -x - 4 = 15
- Isolate <em>x</em> term: -x = 19
- Isolate <em>x</em>: x = -19
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3x - 2
- Substitute in <em>x</em>: y = -3(-19) - 2
- Multiply: y = 57 - 2
- Subtract: y = 55
Answer:
The question needs to state the radius of the styrofoam ball.
