Answer:
The area of the circle is 56.25π cm²
Step-by-step explanation:
- The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
- The formula of the area of a circle with radius r is A = πr²
<em>To find the area of the circle use the formula of the circumference to find its radius and then use the formula of the area to find its area</em>
∵ The circumference of a circle is 15π centimeters
∵ C = 2πr
- Equate 2πr by 15π
∴ 2πr = 15π
- Divide both sides by π
∴ 2 r = 15
- Divide both sides by 2
∴ r = 7.5 centimeters
Now let us use the rule of the area to find it
∵ A = πr²
∴ A = π(7.5)²
∴ A = 56.25π centimeters²
The area of the circle is 56.25π cm²
Answer:
7y² - y + 21
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
4y - y(3 - 7y) + 5 + 2(8 - y)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute parenthesis: 4y - 3y + 7y² + 5 + 16 - 2y
- Combine like terms (y): 7y² - y + 5 + 16
- Combine like terms: 7y² - y + 21
Answer:
Choice D
Step-by-step explanation:
Several techniques do exist for solving systems of linear equations; substitution method, graphical method and elimination method. For this scenario, since we are not restricted on the method, I opted to use the graphical technique.
The graphical solution to a system of linear equations is the point where the lines intersect. If the lines are never intersect then the system has no solution.
The attachment below shows that the system intersects at the point (-3, 26). Therefore, the system has a single solution: x = -3, y = 26.
52 cents would be the answer.
Hope this helped. Would you like me to explain how I got it?
Answer:
y - 4 = 1/5(x-7)
Step-by-step explanation:
Find slope:
4-3 / 7-2
1 / 5
y - y1 = m(x-x1)
y - 4 = 1/5(x-7)
mark brainliest pls