Answer:
second option
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 is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
A function with a positive constant other than 1 raised to a variable exponent is known as an exponential function. As a function is evaluated, it is solved at a given input value. Where the growth rate and initial value are known, an exponential formula can be used.
Sorry I dont know much about them but I hope this helps you!!
Answer:
x = -10
Step-by-step explanation:
Step 1: Write equation
180 + 8x = 160 + 6x
Step 2: Solve for <em>x</em>
- Subtract 6x on both sides: 180 + 2x = 160
- Subtract 180 on both sides: 2x = -20
- Divide both sides by 2: x = -10
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
180 + 8(-10) = 160 + 6(-10)
180 - 80 = 160 - 60
100 = 100
Answer:
the least common multiple is 3
x
(
x
−
2
)
Step-by-step explanation:
Answer:
- Tamara needs to cover a total of <u>476</u> square feet.
- Tamara <u>will</u> have enough material to cover all four walls.
Step-by-step explanation:
If the room dimensions are 8 1/3 feet by 11 1/2 feet, the perimeter length is ...
P = 2(L+W) = 2(8 1/3 +11 1/2) = 2(19 5/6) = 39 2/3 feet
The area of the walls is the product of this perimeter length and the height of the wall. If that height is 12 feet, then the wall area is ...
A = PH = (39 2/3 ft)(12 ft) = 476 ft²
Tamara needs to cover a total of <u>476</u> square feet.
__
If Tamara orders 480 square feet of material, ...
Tamara <u>will</u> have enough to cover all four walls.
