The factors of each term in the expression 8x + 12xy are shown below. 8x: 1, 2, 4, 8, x 12xy: 1, 2, 3, 4, 6, 12, x, y What is th
mariarad [96]
Answer:
4x
Step-by-step explanation:
4 is the largest number on both lists of divisors. "x" is the only variable on both lists of variables. The GCF is their product:
4·x
<h3>
Answer: 5040</h3>
Explanation:
There are 7 ways to pick the first place position, then 6 ways for second place, 5 for third, and so on. We count down until we get to 1
7,6,5,4,3,2,1
Multiply out those values to get the final answer. On many calculators this can be done using the factorial button, indicated as an exclamation mark
7! = 7*6*5*4*3*2*1 = 5040
Answer:
283 cm^2
Step-by-step explanation:
Solution:-
We have a cone with a circular base of radius r = 5 cm
The height of the cone is h = 12 cm
The slant height of the cone is L = 13 cm
We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:
Base Area : Circle
Curved Surface: conical
The total surface area of the cone can be written as ( A ):
Answer: The surface area of the cone to nearest whole number would be 283 cm^2
Step-by-step explanation:
x² + (y − 1)² = 9
This is a circle with center (0, 1) and radius 3. We can parameterize it using sine and cosine.
Use the starting point to determine which should be sine and which should be cosine.
Use the direction to determine the signs.
Use the number of revolutions and the interval to determine coefficient of t.
(A) Once around clockwise, starting at (3, 1). 0 ≤ t ≤ 2π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 1 revolution (2π radians). Therefore:
x = 3 cos t
y = 1 − 3 sin t
(B) Two times around counterclockwise, starting at (3, 1). 0 ≤ t ≤ 4π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 2 revolutions (4π radians). Therefore:
x = 3 cos t
y = 1 + 3 sin t
(C) Halfway around counterclockwise, starting at (0, 4). 0 ≤ t ≤ π.
The particle starts at (0, 4), which is π/2 radians on a unit circle. It makes 1/2 revolution (π radians). Therefore:
x = -3 sin t
y = 1 + 3 cos t
First, isolate y in 7x-y=29 because 1 is y's coefficient.
7x-y=29
-y=29-7x
y=7x-29
Now, substitute 7x-29 for y in 7x+8y=20.
7x+8y=20
7x+8(7x-29)=20
7x+56x-232=20
Add all coefficients.
63x-232=20
Isolate x by adding 232 to both sides.
63x-232=20
63x=252
x=4
Now, substitute 4 for x in your first equation.
y=7x-29
y=7(4)-29
y=28-29
y=-1
Your answer would be (4,-1).
Any questions you may have, please contact me or comment.
