Answer:
15
Step-by-step explanation:
The difference between consecutive integers is 1.
The difference between consecutive odd integers is 2.
Let the smallest odd integer be x.
Then the next greater one is x + 2. The greatest one is x + 4.
"3 times the first" is 3x
"twice the third" is 2(x + 4)
"3 times the first of three consecutive odd integers is 3 more than twice the third"
3x = 2(x + 4) + 3
3x = 2x + 8 + 3
x = 11
The smallest integer is 11.
x + 4 = 11 + 4 = 15
The greatest one is 15.
Answer:
Line 2 and Line 4 are perpendicular
Step-by-step explanation:
Line 2: y=1/5x−3
Line 4: y+1=−5(x+2)
Note: Consider "÷" sign instead of "=".
Given:
To find:
The quotient.
Solution:
We have,
It can be written as
Splitting the middle terms, we get
Taking out the common factor (x-1), we get
Cancel the common factors.
The quotient is 
.
Therefore, the correct option is D.
A] <span>A remote-control airplane descends at a rate of 2 feet per second. After 3 seconds it is 67 feet above the ground.
the point slope equation will be given as follows:
y-y1=m(x-x1)
where:
slope,m=2 ft/sec
(x1,y1)=(3,67)
thus plugging in the values in the formula, we obtain the point slope equation as follow:
y-67=2(x-3)
Answer:
</span>y-67=2(x-3)
b]The height of the plane after 8 seconds will be:
x=8 sec
but:
y-67=2(x-3)
substituting x=8 we get:
y-67=2(8-3)
y-67=2(5)
y=10+67
y=77
thus the height after 8 seconds is 77 ft
Step-by-step explanation:
Here you go i think its good
