A hot air balloon ascended to a height of 35 meters 2 minutes after launch After some time, the balloon's altitude began to change by-3 meters every minute for 9 minutes. To avoid a tree, the hot air balloon flew up by 5 meters. What is the new altitude of the hot air balloon?

The new altitude of the hot air balloon is 67 m.

Step-by-step explanation:

To find the final altitude of the hot air we need to add every altitude as follows:

1. A hot air balloon ascended to a height of 35 meters 2 minutes after launch

2. The balloon altitude began to change by-3 meters every minute for 9 minutes:

3. The hot air balloon flew up by 5 meters:

Hence, the total altitude is:

Therefore, the new altitude of the hot air balloon is 67 m.

I hope it helps you!

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

the axial of symmetry

step-by-step explanation: