Answer:
a + c = 150
7.75a + 10.25c = 1470
Step-by-step explanation:
a = adult
c = child
<h2><u><em>
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Answer:
Step-by-step explanation:
5.23x+3.76-3.67x+6.39
x(5.23-3.67) +(3.76+6.39)
1.56x + 10.15
Answer:
![a_0 = -6](https://tex.z-dn.net/?f=a_0%20%3D%20-6)
![a_1=8](https://tex.z-dn.net/?f=a_1%3D8)
![x^2 +y^2 -6x + 8y = 0](https://tex.z-dn.net/?f=x%5E2%20%2By%5E2%20-6x%20%2B%208y%20%3D%200)
Step-by-step explanation:
The equation of the circle has the following form
![x^2 + y^2 + a_0x + a_1y=0](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20%2B%20a_0x%20%2B%20a_1y%3D0)
The equation of the circle has the following form
We know that the circle goes through the following points
(0, 0)
(6, 0)
(0, -8).
Then we substitute the values of x and y in the equation
<u>For (0, 0)</u>
![0^2 + 0^2 + a_0(0) + a_1(0)=0](https://tex.z-dn.net/?f=0%5E2%20%2B%200%5E2%20%2B%20a_0%280%29%20%2B%20a_1%280%29%3D0)
![0=0](https://tex.z-dn.net/?f=0%3D0)
<u>For (6, 0)</u>
![6^2 + 0^2 + a_0(6) + a_1(0)=0](https://tex.z-dn.net/?f=6%5E2%20%2B%200%5E2%20%2B%20a_0%286%29%20%2B%20a_1%280%29%3D0)
![36 + 6a_0=0](https://tex.z-dn.net/?f=36%20%2B%206a_0%3D0)
![a_0 = -\frac{36}{6}\\\\a_0 = -6](https://tex.z-dn.net/?f=a_0%20%3D%20-%5Cfrac%7B36%7D%7B6%7D%5C%5C%5C%5Ca_0%20%3D%20-6)
<u>For (0, -8)</u>
![0^2 + (-8)^2 + a_0(0) + a_1(-8)=0](https://tex.z-dn.net/?f=0%5E2%20%2B%20%28-8%29%5E2%20%2B%20a_0%280%29%20%2B%20a_1%28-8%29%3D0)
![(-8)^2 - 8a_1=0](https://tex.z-dn.net/?f=%28-8%29%5E2%20-%208a_1%3D0)
![(-8)^2 = 8a_1](https://tex.z-dn.net/?f=%28-8%29%5E2%20%3D%208a_1)
![a_1=8](https://tex.z-dn.net/?f=a_1%3D8)
Finally the equation is:
![x^2 +y^2 -6x + 8y = 0](https://tex.z-dn.net/?f=x%5E2%20%2By%5E2%20-6x%20%2B%208y%20%3D%200)
Answer:
m∠XBC = 135
Step-by-step explanation:
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
From the simplified expression, we need to find the value of p first
From the last line we can see that;
2p =94
Divide both sides by 2:
2p/2 =94/2
p = 47
From the expression, m∠XBC =3p-6
m∠XBC = 3(47)-6
m∠XBC = 141 -6
m∠XBC = 135
Hence the measure of m∠XBC is 135