Answer:
(0, -3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
x - 4y = 12
x - 5y = 15
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Subtract 2 equations: y = -3
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x - 4y = 12
- Substitute in <em>y</em>: x - 4(-3) = 12
- Multiply: x + 12 = 12
- Subtract 12 on both sides: x = 0
Answer:


Step-by-step explanation:
We are asked to find the circumference and area of a circle with a radius of 3 meters.
<h3>1. Circumference </h3>
The circumference is the perimeter of a circle. It is calculated using the following formula:

We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.
The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.

Multiply.

<h3>2. Area </h3>
The area is the size of the circle's surface. It is calculated using the following formula.

The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.

Solve the exponent.
- (3 m)² = (3 m)(3 m)= 9 m²


The circumference is 18.84 meters and the area is 28.26 square meters.
Answer:
B. 1/3 multiplied by k=7
Step-by-step explanation:
7 ÷ ⅓ = k
Multiply both sides by ⅓
7 ÷ ⅓ × ⅓ = k × ⅓
7 = k × ⅓
Answer:
81
Step-by-step explanation:
Answer:
34.04 cm²
Step-by-step explanation:
Formula for a trapezoid:
a + b ÷ 2 × height
Substitute the values:
11.7 + 3.1 = 14.8
14.8 ÷ 2 = 7.4
7.4 × 4.6 = 34.04
The answer is 34.04 cm²