Answer:
-x^2+5x+3
Step-by-step explanation:
Remove unnecessary parenthesis.
3x-2-x^2+2x+5
Collect like terms.
5x+3-x^2
Use the commutative property to reorder the terms.
-x^2+5x+3
Answer:
Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±
)/2. So, PQ=
, PQ²=
. Thus, the answer is 61+4=65.
Step-by-step explanation:
Answer:
d = 4
Step-by-step explanation:
41 = 12d - 7
48 = 12d
d = 4
<u>Given</u>:
The distance (in kilometers) Dora hiked is modeled as a function of time.
We need to determine the average rate of change in distance hiked, measured in kilometers per hour, between 8:30 am to 1:30 pm.
<u>Average rate of change:</u>
Let us write the time and the distance hiked in coordinates for the time 8:30 am and 1:30 pm.
Thus, the coordinates are (8.30, 4) and (1,12)
The average rate of change can be determined using the formula,

Substituting the points (8.30, 4) and (1.30,12), we get;



Rounding off to the nearest whole number, we get;

Therefore, the average rate of change is -1.
There are 26 boys and 19 girls,
Take away 7 from 45 to get 2g(# of girls)
45-7=38 38=2g To get to # of girls,find just one g
38/2=19 so 19 girls
45-19=boys 45-19=26 boys