You can use a proportion.
4 hours is to 82 miles as 14 hours is to x miles
4/82 = 14/x
Cross multiply to get
4x = 14 * 82
4x = 1148
x = 287
287 miles
Answer:
x= 7
Step-by-step explanation:
1st step: Multiply the factor (outside number) with the numbers and variable(s) in the box. This results in 2(x-3) = 2x-6
2nd Step: continue the rest of the equation since there are no more brackets left so 2x-6-12=-4
3rd Step: send -12 to the other side of the equation (side changes sign changes) so it will become 2x-6=-4+12 (You are actually supposed to make the variable alone on one side of the equation so that you would be able to calculate its value)
4th step: 2x-6=8 ---> send -6 to the other side as well which will then result in 2x=14
5th step: since 2 is being multiplied by x, when you send it to the other side (to make x alone) you will divide 14 by 2 ( sign of 2 changes from multiplication to division)
Final Step: x=7
Answer:
(Red, 1) (Red, 2) (Red, 3) (Red, 4) (Red, 5) (Red, 6)
(Blue, 1) (Blue, 2) (Blue, 3) (Blue, 4) (Blue, 5) (Blue, 6)
Step-by-step explanation:
Answer:
AB is not a tangent to the circle
Step-by-step explanation:
The angle between a tangent and the radius at the point of contact = 90°
Using Pythagoras' identity to determine if the triangle is right at A
If the square of the longest side is equal to the sum of the squares on the other 2 sides then A is right.
longest side = 15 , then 15² = 225
8² + 9² = 64 + 81 = 145 ≠ 225
Then AB is not a tangent to the circle
Answer:
-20x^4y + 40x^3y^2.
Step-by-step explanation:
-5x^3y(4x-8y)
= -5x^3y * 4x + -5x^3y * -8y
= -20x^4y + 40x^3y^2
