Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
The required equation of the quadratic function is where, a is a constant.
Putting a=1, we get
![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Therefore, the required quadratic function is .
Answer:
∠1 - 40°
Step-by-step explanation:
∠1 - 40°
b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.
∠2 - 140°
b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.
∠3 - 40°
b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.
∠4 -
b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.
∠5 - 35°
b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.
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I hope that helps you out!!
Answer:
The answer is $22.75! (A)
Step-by-step explanation:
All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.
22.75 + 13.75 = 36.50
Answer:
-1.70588235294
1. X3, 15x - 10y = 80 15x - 7y = 51
-17y = 29
2. 8 = 1/60 + a. 8 - 1/60 = 7.98333333333
6 = 1/80 + b. 6 - 1/80 = 5.9875
13.9708333333
3. I genuinely dont know sorry.
4. Pencil = $0.05. Pen = $1.05
Step-by-step explanation:
