Answer:
The three consecutive even integers are 8, 10 and 12.
Step-by-step explanation:
Let the three consecutive even integers be 
The statement "27 more than 3 times the second is 7 less than 8 times the first" can be expressed as:

Solve this expression for <em>x</em> as follows:

The three consecutive even integers are:

Answer:
Step-by-step explanation:
vector e is (-1,5),f is (3,-4),g is (2,1)
2i+j=x(-i+5j)+y(3i-4j)
2=-x+3y (multiply by 5)
10=-5x+15y
1=5x-4y
add
11=11y
y=1
2=-x+3(1)
x=3-2=1
2i+j=1(-i+5j)+1(3i-4j)
Answer:
119
Step-by-step explanation:
Answer:
7.68 s
Step-by-step explanation:
The vertical motion formula is:
<u>Where:</u>
h(t): is the final height = 0
h(0): is the height of the cliff = 104 foot
v(0): is the initial velocity = 110 ft/s
g: is the gravity = 9.8 m/s² = 32.15 ft/s²
Hence, from the vertical motion formula we can find the time that will take the rocket to hit the ground:

We have two solutions:
t₁= -0.84 s
t₂ = 7.68 s
We will take the positive value, thus the time that will take the rocket to hit the ground is 7.68 s.
I hope it helps you!
Answer:
120
Step-by-step explanation:
Split up the boxes to help you achieve the answer.