Answer:
The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)
Step-by-step explanation:
The standard form of the equation of a parabola is (y - k)² = 4p (x - h), where
- The vertex of the parabola is (h , k)
- The focus is (h + p, k)
∵ The vertex of the parabola is (3 , -2)
∴ h = 3 and k = -2
∵ The focus is (5 , -2)
∴ h + p = 5
- Substitute h by 3 to find p
∵ 3 + p = 5
- Subtract 3 from both sides
∴ p = 2
∵ The standard form of the equation of the parabola is (y - k)² = 4p (x - h)
- Substitute the values of h , k , and p in the equation
∴ (y - -2)² = 4(2) (x - 3)
∴ (y + 2)² = 8 (x - 3)
The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)
Answer:
c) 10 units
The length of side RT of the polygon RT = 10
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given the coordinates of vertices R and T
R( -7 ,3) and T (3 ,3)
we have to find the length of side RT
We will use distance formula
RT =
<u><em>Step(ii):-</em></u>
RT
RT = √100
RT = 10
The length of side RT of the polygon RT = 10
The cube root of -27 is -3
3√-27 = -3
You can check this by plugging your answer back it
X= -3
-3^3 = -27
<u>Answer-</u>
<em>The winner read </em><em>5 pages</em><em> more than the loser.</em>
<u>Solution-</u>
In the x axis days of the week is represented.
In the y axis number of pages read is represented.
Total pages read by each can be calculated by adding the number of pages read by them each day i.e starting from Monday to Friday.
Total number of pages read by Javi is,
Total number of pages read by Merianne,
So, Javi is the winner because she read 125-120=5 pages more than Merianne.
Hi!
This question is worded a little funny, but i think in understand what it's asking. Forgive me if i'm wrong.
Place values in math are pretty self-explanatory. It's just asking you what place each number is in.
For example:
If you were to write the number 12, the 1 would be in the tens place and the 2 would be in the ones place.
When speaking about decimals, you pretty much just have to add the letters 'th' to the end of the place value, but instead of decreasing as the numbers grow smaller, you increase and the ones place doesn't exist.
So in this case:
With 249.637, 2 is in the hundreds place. 4 is in the tens place. 9 is in the ones place. 6 is in the tenths place. 7 is in the hundreths place. 3 is in the thousandths place.
Hope this helps :)