Answer:
74 mph
Step-by-step explanation:
step 1
Find the total time
A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm
so
from 6:30 am to 12:00 pm ----> there are 5 hours + 30 minutes=5.5 hours
from 12:00 pm to 11:45 pm ----> there are 11 hours + 45 minutes=11.75 hours
The total time is
5.5+11.75=17.25 hours
step 2
Find the average speed
we know that
The average speed is equal to divide the total distance by the total time

Q6.
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have: slope m = 3, y-intercept (0, 4) → b= 4
<h3>Answer: y = 3x + 4</h3>
Q7.
2x + 4y = 4 |subtract 2x from both sides
4y = -2x + 4 |divide both sides by 4
y = -0.5x + 1
Only second graph has y-intercept = 1.
<h3>Answer: The second graph.</h3>
Q8.
The point-slope form:

We have

Substitute:

<h3>Answer: The first equation.</h3>
Q9.
It's a vertical line. The equation of a vertical line is x = <em>a</em>, where <em>a</em> is any real number.
<h3>Answer: x = -4</h3>
Answer:
∠a = 10°
Step-by-step explanation:
The measure of ∠a = x
The measure of ∠b = 4x-30
It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.
For vertically opposite angles,
∠a = ∠b
x = 4x-30
or
4x-30=x
Taking like terms together,
4x-x= 30
3x = 30
x = 10
So, the meausre of ∠a is equal to 10°.
Answer:
4<x<12
Step-by-step explanation:
8.0+4.0=12.0
8.0-4.0=4.0 or 4