I would use subsitution because both are already equal to a single variable
set both equal since both equal y
8x-9=y=4x-1
8x-9=4x-1
minus 4x both sides
4x-9=-1
add 9 boh sides
4x=10
divide by 4
x=10/4=5/2
sub for x
y=4x-1
y=4(10/4)-1
y=10-1
y=9
(5/2,9) is solution
A. work shown above
B. (5/2,9) or (2.5,9)
Answer:
73°
Step-by-step explanation:
Here we use trigonometry to find the angle. The building and the ground form a perpendicular angle, with the ladder acting as the hypotenuse, we get a right angle. We know the length of adjacent leg from the angle, and the length of the hypotenuse. In this case, we use cosine since cos = adjacent length/hypotenuse length. So cos x= 7/24. To isolate x, we use the inverse function of cos, cos^-1. Then x= cos^-1 (7/24) or 73°.
Ok, if you roll the dice once - you'll get:
1, 2, 3, 4, 5 or 6.
If you roll it twice, you can get one of these combinations:
1,1 - 1,2 - 1,3 - 1,4 - 1,5 - 1,6
2,1 - 2,2 - 2,3 - 2,4 - 2,5 - 2,6
3,1 - 3,2 - 3,3 - 3,4 - 3,5 - 3,6
4,1 - 4,2 - 4,3 - 4,4 - 4,5 - 4,6
5,1 - 5,2 - 5,3 - 5,4 - 5,5 - 5,6
6,1 - 6,2 - 6,3 - 6,4 - 6,5 - 6,6
Here there are 36 combinations in total. Your chance of getting a 5 and a 2 is 1/36.
5,2 only appears once in this list of possible combinations. 2,5 doesn't count (as 2 would come up first).
Answer:
2h-2=92 and h-2=92-h.
Step-by-step explanation:
Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.
The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.
Combining like terms we would have the first correct choice, 2h-2=92.
Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.
1) Assuming that 1 month is 30 days. We would take 30 (# of days in the month) divided by 4, which would be 7.5. So every 7.5 days ( or 1/4 of a month) she will build 1 1/2 simple machines. so 1 1/2 times 4 equals 6. She will build 6 simple machines each month.
3) D. 6 miles, you would take 60 divided by 6 which is 10, divided by 3/5 which is 6.
