Answer:
If the height is tripled and the area is 12 times larger, the base would be 8 times larger.
Step-by-step explanation:
Area of Triangle = 1/2(base × height)
If the area is 1 foot and the height is 1 foot, that means the base is 2 feet, since 1 = 1/2(2 × 1)
Now, if the height is tripled and the area is 12 times larger, then the base would have to be 8 feet, since 12 = 1/2(8 × 3)
Answer:4.375 miles left to go
Step-by-step explanation:
Answer:
X=[24,,-33]
Step-by-step explanation:
The given equation is :

We multiply through by 3 to get:

Solve for x to get:

The entries are: A=[-12 -3] B= [-12 10]
Let X=[a,b]
We substitute the entries to get:
[a,b]=[-12,-3]-3[-12,10]
We simplify the Right Hand Side to get:
[a,b]=[-12,-3]-[-36,30]
We simplify further to get:
[a,b]=[-12--36,-3-30]
This implies that:
[a,b]=[24,-33]
Hence, X=[24,-33]
Assuming you want to find the length of the longest line segment, you would have to first determine where the longest line segment is.
If you can't do this straight away, then it'd be good to draw a diagram as I shown below, to visualise.
From there, you apply pythagora's theorem to the dimensions of the rectangular prism to find the length of the longest line segment.
I have attached the solution in a photo, including some explanation. Hope it helps :)
The answer is 5x+50=y
Because you have to pay 50 dollars to get a lesson you have to pay it plus the number of lessons multiplied by the price.