Answer:
2.098 seconds
Step-by-step explanation:
A (4,8) and b (7,2) and let c (x,y)
A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7) ⇒⇒⇒ equation (1)
<span>The distance
between two points (x₁,y₁),(x₂,y₂) = d
</span>
The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC
![2 * \sqrt{ (7-4)^{2} + (2-8)^{2} }](https://tex.z-dn.net/?f=2%20%2A%20%5Csqrt%7B%20%287-4%29%5E%7B2%7D%20%2B%20%282-8%29%5E%7B2%7D%20%7D%20)
= <span>
![3* \sqrt{ (x-7)^{2} +(y-2)^{2} }](https://tex.z-dn.net/?f=%203%2A%20%5Csqrt%7B%20%28x-7%29%5E%7B2%7D%20%2B%28y-2%29%5E%7B2%7D%20%7D%20)
eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)² ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at </span><span>equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9 or x = 5
∴ y = -2 or y = 6
The point will be (9,-2) or (5,6)
the point (5,6) will be rejected because it is between A and B
So, the point C = (9,-2)
See the attached figure for more explanations
</span>
Lemme check in Google for u
Answer:
the following studies may fail to yield the desired information because
(a) i. some of the students might have died before 2015.
ii. Some people might lie based on the questionnaire sent.
So based on the two factors above the desired information might be altered or incorrect.
(b) i. individuals may be unwilling to provide accurate answers during the survey.
Step-by-step explanation:
Information may be altered when individuals are asked about their income or spending in other to show off to friends or the person asking the questions.