Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
Answer:
(9x²)²
Step-by-step explanation:
Given the expression 81x⁴, to write the expression as a square of a monomial, first we will assign a variable to the expression.
y = 81x⁴
Then we take the square root of both sides of the expression
√y = √81x⁴
y^½ = √81 × √x⁴
y^½ = 9x²
Squaring both sides of the resulting equation to get y back
(y^½)² = (9x²)²
y = (9x²)²
The expression as a square of a monomial is (9x²)²
3, 6, 9, 12,15, 18, 21, 24
8, 16, 24
Marco will fill up his car with gas and wash it on the 24th day.
Answer:
Step-by-step explanation:
Use consistent units. The length of the roller is 2.8 m. The diameter is 168 cm = 1.68 m
Circumference of roller = 1.68π m
Contact area of roller = 1.68π × 2.8 = 4.704π m²
Each rotation levels 4.704π m² of the playground.
Area of playground = 750 rotations × (4.704π m²)/rotation
= 3528π m²
≈ 11,084 m²
Answer:
65
Step-by-step explanation:
