Because α varies directley to β

(k = constant)
α=7 when β=2
7= 2k
k=
so when α=21
21=

b
b= 6
Answer: -4/3
Step-by-step explanation:
Formula to find a slope of two given points is
y(sub2) - y(sub1) / x(sub2) - x(sub1)
Plug the values in to get the answer.
-2 - 2 / -1 - (-4)
-4/3
Here three sides of a right angled triangle given.
The three sides are b, 8 and 14.
The side with length 14 is the hypotenuse here. We have to find the side of length b.
To get b, we will use Pythagoras theorem here.
By using Pythagoras theorem we can write,
, where c is the hypotenuse.
So here we can write,



To solve it for b, now we have to move 64 to the left side by subtracting it from both sides.



Now to find b, we have to take square root to both sides. We will get,





We have got the required answer for the side b.
Answer: 112 km
=====================================================
Work Shown:
(5 miles)/(8 km) = (70 miles)/(x km)
5/8 = 70/x
5*x = 8*70 ... cross multiply
5x = 560
x = 560/5 .... divide both sides by 5
x = 112
According to the given estimation, 70 miles converts to 112 km.
The more accurate conversion is approximately 70 miles = 112.65408 km, so this estimation isn't too far off.
To subtract fractions, we need a common denominator, which would be 10. To do this, multiply 3/5 by 2
3 * 2 = 6
5 * 2 = 10
Now subtract