Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane?F. x – y = 1
G. x + y = 25
H. x^2 + y = 25
J. x^2 + y^2 = 5
K. x^2 + y^2 = 25
Answers
That distance is √(3² + 4²) = √(9 + 16) = √25 = 5 .
The equation of a circle centered at the origin is
x² + y² = (radius)²
So this circle is [ x² + y² = 25 ]
That's Choice-'K'.
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A soccer ball is kicked into the air, and its path can be modeled with a quadratic function. The table shows the time, t, in seconds, and the height of the soccer ball, h, in feet. Follow the steps to write the function. 1. Identify x-intercepts: (0, 0) and (5, 0) 2. Use factored form: f(t) = a(t − 0)(t − 5) f(t) = at(t − 5) 3. Find the value of: 12 = a(3)(3 − 5) 4. Write function: f(t) = t(t −)
15. PLEASE help me on this pre algerbra question
Answers
Answer:
30.3
Step-by-step explanation:
909/30 = 30.3
x = 30.3
Answer: 300.3
Step-by-step explanation
30x-9=9000
30x=9009
x= 300.3
Answers
The flat surfaceson a rectangular prism are called faces because they form the exterior of the rectangularprism, and they are the only parts of the prism.
What is Three dimensional shape?
a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
A rectangularprism is a polyhedron with two congruent and parallel bases.
Rectangular prism is also called a cuboid
The flat surfaces on a rectangular prism are called faces because they form the exterior of the rectangular prism, and they are the only parts of the prism that can be seen from the outside.
Each face has two dimensions (length and width) and all six faces together form the rectangular prism's shape.
Hence, the flat surfaces on a rectangularprism are called faces because they form the exterior of the rectangular prism, and they are the only parts of the prism.
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Answers
Answer:
First of all, we need to graph the equation of the two lines and find each region separately.
The first line is:
This line has been plotted in the first figure below. To find the feasible region, let's take a random point and test the inequality, so let's take
Since for (0,0) the inequality is false, then the region for this inequality is not where the point (0, 0) lies, but the other region, that is, the one under the line as indicated in the second figure. Keep in mind that points on the border of this region, that is, points that lies on the line aren't included in the region because the symbol < tells us that the equality is not included.
The second line is:
This line has been plotted in the third figure below. To find the feasible region, let's take (0,0) again, so let's take
Since for the point (0,0) the inequality is true, then the region for this inequality is where this point lies as indicated in the fourth figure. Keep in mind that points on the border of this region, that is, points that lies on the line are included in the region because the symbol ≤ tells us that the equality is included.
_____________________
Finally, the solution to the system of inequalities is the one where the red and blue region overlap as indicated in the fifth figure below.
Answer:
Step-by-step explanation:
39.42 divided by 5.4
Answers
Heres an example without a decimal.
6
-30
-----
0
OKay, now your done it that, you got one more number!! which is 0. I know you can't do 0 divided by 5 so just put a "0" on top of zero next to 6 then you subtract as show below: also i forgot!!! birng down the 0 so it would be like this:
60
-30
------
00 (can't do the arrow thing so yeah sorry about that)
but now you got the 00, so thats where you subtract that and get zero like this,
60
-30
------
00
-0
-----
0
so the number is, and the number has no more numbers left, so 60 will be our answer. Sorry if it was a bit complicated.. but yeah... Hope i helped!!! :D
Answers
The result of subtraction of 9 2/6 - 6 5/6 is: 2 1/2.
Here, we have,
To subtract mixed numbers like 9 2/6 and 6 5/6, you can follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
9 2/6 can be written as 9 + 2/6 = 9 + 1/3 = 27/3 + 1/3 = 28/3.
6 5/6 can be written as 6 + 5/6 = 6 + 5/6 = 36/6 + 5/6 = 41/6.
Step 2: Subtract the two fractions.
28/3 - 41/6 = (28 * 2)/(3 * 2) - 41/6 = 56/6 - 41/6 = 15/6.
Step 3: Simplify the resulting fraction, if possible.
15/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3.
15/6 = (15/3) / (6/3) = 5/2.
Therefore, 9 2/6 - 6 5/6 is equal to 5/2 or 2 1/2.
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