Answer:
Step-by-step explanation:
MA²=MX²+AX²
=20²+21²
=400+441
=841
MA=√841=29
5x+3y+6x+9y
All you'd need to do is combine like terms. So add 5x to 6x and add 3y to 9y.
(5x+6x)+(3y+9y)
Final Answer: 11x + 12y
Answer: 29/28
Step-by-step explanation:
To add fractions we have to calculate the Least Common Denominator of the denominators. Then we have to change each fraction (using equivalent fractions) to make their denominators the same as the Least Common Denominator. Then we can add (or subtract) the fractions.
LCD (4,7,2)= 4·7 = 28
1/4 = 7/28
2/7 = 4·2/28 = 8/28
1/2 = 14/28
Since the fractions have the same denominator we can add them
7/28 + 8/28 + 14/28 = (7+8+14)/28 = 29/28
<span>1) 2p = -2.
<span> 4p [ y - k ] = [ x - h) ]² --- > - 4 [ y + 5 ] = [ x + 5 ]²
2) </span></span><span>4p * (y - k) = (x - h)^2 </span>
<span>(h , k) is the vertex </span>
<span>The vertex is halfway between the focus and the directrix (when they're at their closest) </span>
<span>p is that distance </span>
<span>2 - 1 = 1 </span>
<span>4p = 1 </span>
<span>p = 1/4 </span>
<span>(1/4) * (y - k) = (x - h)^2 </span>
<span>y - k = 4 * (x - h)^2 </span>
<span>The vertex is at (6 , 3/2), since that's midway between (6 , 1) and (6 , 2) </span>
<span>y - 3/2 = 4 * (x - 6)^2 </span>
<span>y = (3/2) + 4 * (x - 6)^2
</span><span>
4) </span><span>f(x) = (-1/16)*(x²)
</span><span>
5) </span><span>f(x) = −1/4 x2 − x + 5</span><span>
</span>
Answer:
Step-by-step explanation:
Given
and 
Required
The midpoint (M)
This is calculated as:
So, we have:
