<u>Answer:</u>
The number of tickets bought is 1000 adults tickets and 700 children were present
<u>Explanation:</u>
Let the number of children and adults present in the circus be x and y respectively
According to question,
Then, x + y = 1700 ……………..equation (1)
And, cost of ticket to circus for children and adult be 19, 42 respectively
Total cost of ticket;
for adults = 42y; for children = 19x
19x + 42y = 55300 …………………equation (2)
Multiplying equation (1) by 19
19x + 19y = 32300 ……………… eqn (3)
Subtracting equation 1 and 3, we get
23y = 23000
y = 1000
putting this value in eq (1), we get x = 700
Therefore, 1000 adults and 700 children were present
.
Please indicate exponentiation using " ^ " Thanks.
f(x)=x2+14x+40 => <span>f(x)=x^2+14x+40
Next, complete the square:
</span>f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9
Write this in the form y = (x+7)^2 - 9 or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9
In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).
Answer:
Step-by-step explanation:
Given expression is,
To prove this identity we will take the right side of the identity,
![=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5B%5Cfrac%7B2%281-%5Ctext%7Btan%7D%5E2%5Cfrac%7BA%7D%7B2%7D%29%7D%7B2tan%5Cfrac%7BA%7D%7B2%7D%7D%5D)
[Since 
]
= cot A
Hence right side of the equation is equal to the left side of the equation.
Answer:
D
Step-by-step explanation:
Cuz sqr root of 20 = 2 sqrt 5, -2 sqrt 5
15.49 and 15.48
any number below 15.50 and above 15.45 will round up to 15.5
