Answer:
Point form : (- 2/3, 10/9)
Equation form : x=- 2/3, y=10/9
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.
I hope this helps you out. :)
Answer:
Step-by-step explanation:
The standard form of a circle is
If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:
and
so
Our circle's equation is
Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:
Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because
If the inequality < were true then the point would lie inside.
Answer:
Step-by-step explanation:
Find the LCM of 8,9 and 10.
Prime Factorization to find LCM,
8 = 2 × 2 × 2
9 = 3 × 3
10 = 2 × 5
LCM ( 8 , 9 , 10 ) = 2 × 2 × 2 × 3 × 3 × 5 =360
But 360 is not square
Now we make the pairs complete by multiplying same numbers in prime factorization of LCM.
We need one 2 and one 5 to complete the pair.
We get, Least Square number = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600
Hope this helps
good Luck
For the first part, the answer is choice B) 360. This applies to any polygon and it doesn't have to be an octagon. The sum of the exterior angles of any polygon is always 360 degrees. This is something you should memorize or have on a reference sheet.
For the second part, the answer is choice C) 142 degrees. We have a parallelogram (specifically a rhombus but that doesn't matter) so the adjacent angles are supplementary. This means they add to 180 degrees. Solving x+38 = 180 leads to x = 142
Answer:
Most students ride the bus since the pie chart section is biggest at the bus section.
23 people walking / 100 people is 23% and 23% of 100 is 23 people.
Step-by-step explanation:
