Answer:
AB = 5 units
Step-by-step explanation:
Calculate the length using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%20%28y_%7B2%7D-y_%7B1%7D%29%5E2)
with (x₁, y₁ ) = A(7, 9) and (x₂, y₂ ) = B(3, 12)
AB = ![\sqrt{(3-7)^2+(12-9)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%283-7%29%5E2%2B%2812-9%29%5E2%7D)
= ![\sqrt{(-4)^2+3^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-4%29%5E2%2B3%5E2%7D)
= ![\sqrt{16+9}](https://tex.z-dn.net/?f=%5Csqrt%7B16%2B9%7D)
= ![\sqrt{25}](https://tex.z-dn.net/?f=%5Csqrt%7B25%7D)
= 5
The equation given in the question has to be answered to the nearest tenth. The only thing that one should be careful about is the cross multiplication part. Other than that there is no difficulty in the given problem. Now let us get down to the equation in the question.
15/30 = n/34
30 * n = 15 * 34
30n = 510
n = 510/30
= 51/3
= 17
So the value of the unknown variable "n" comes out to be 17.
Answer:
Distance cover by Frank and family each day = 300 miles per day
Step-by-step explanation:
Given:
Total distance cover by Frank and family = 3,000 miles
Number of days = 10
Find:
Distance cover by Frank and family each day
Computation:
Distance cover by Frank and family each day = Total distance cover by Frank and family / Number of days
Distance cover by Frank and family each day = 3,000 / 10
Distance cover by Frank and family each day = 300 miles per day
Length=3width-5
(2(x))+(2(3x-5)=46
2x+6x+10=46
8x=56
x=7
width=7 length=16