Answer:
200 miles
Step-by-step explanation:
63.96+(.08x)=55.96+(.12x). x=200. 63.96+(.08x200)=79.96. 55.96+(.12x200)= 79.96
Answer:
#2 option: ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
![slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7Brise%7D%7Brun%7D%20%3D%5Cfrac%7By%5E2-y%5E1%7D%7Bx%5E2-x%5E1%7D)
![\frac{3-(-1)}{4-(-2)}=\frac{-4}{-6} =\frac{-2}{-3} =\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3-%28-1%29%7D%7B4-%28-2%29%7D%3D%5Cfrac%7B-4%7D%7B-6%7D%20%3D%5Cfrac%7B-2%7D%7B-3%7D%20%3D%5Cfrac%7B2%7D%7B3%7D)
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
A) x^2 + y^2 = 37
B) x * y = 24
B) x = 24/y then substituting this into A)
A) (24/y)^2 + y^2 = 37
Multiplying both sides by y^2
A) 24 + y^4 = 37y^2
A) y^4 - 37y^2 +24 = 0
y = 6.028230484554424
x * y = 24
x = 24 / 6.028230484554424
x =
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3.9812678134
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There is x and y but I'm not too sure of it.
Answer:8
Step-by-step explanation:
9. It is a very good idea to divide by the smallest numbers.
First divide by 2 as many times as you can, then by 3, and so on:
110=2*55 (2 is an obvious factor, since the number ends with 0)
2*55=2*5*11 (5 is an obvious factor since the number ends with 5)
10.a
to find a number with factors 2, 3, 5, just multiply these numbers with any other number you want.
number 1: 2*3*5*4=120
number 2: 2*3*5*9=270
The greatest common factor of these 2 numbers is 2*3*5
any combination of these numbers is a common factor to number 1 and number 2,
so these numbers have in common the factors:
2*3=6, 3*5=15, 2*5=10, 2*3*5=30
that is {6, 10, 15, 30}
b.
a number with 8 as a factor, has also 2 and 4 as factors.
so a number with factors 2, 4 and 8 can be found by simply multiplying 8 by any number.
number 1: 8*5=40
number 2: 8*11=88
number 3: 8*500=4,000
these numbers have in common that they all are multiples of 8 (their greatest common divisor is 8)