Answer:
Step-by-step explanation:
y-intercept = b = 2 [y-intercept is when x = 0]
Slope = m = -3/7
Putting this in slope-intercept equation
=>
=>
Answer:
a
Step-by-step explanation:
Answer:
that is a negative slope
but dont know how to find the slope sorry
Step-by-step explanation:
Remember: To find the slope, we use the equation Rise/Run.
Let's find the rise first. Rise = How many units it goes up/down We can count down 6 units from the origin. Our rise is - 6.
To find the run. we count left/right. We could count 8 units. Our run is 8.
The slope is negative because it slopes downwards. If the slope is positive, then the line would be rising up.
To find the slope, we use the formula rise/run.
Part 2: How far does the tip of the minute hand travel during that time?
Part 3: How many radians on the unit circle would the minute hand travel from 0° if it were to move 5π inches?
Part 4: What is the coordinate point associated with this radian measure?
Answer:
Part 1:
In order to find how many radians the minute hand moves from 1:20 to 1:55, we need to remember that there are 60 minutes in an hour (clock) and there are 360 degrees in the clock since the clock is a circle. After dividing 360 by 60, we find that each minute is equal to 6 degrees. After that, we can subtract the times, which tells us that there are 35 minutes between 1:20 and 1:55. Using this we can just multiply this out, to get 35 times 6, which is equal to 210 degrees. We can get our final answer by converting this into degrees. Since one 1 degree is about 0.0174, we can set up a proportion. After solving, we will get that the minutes hand moves 3.555 radians in total.
Part 2:
In order to find how much the minute hand moves, we must find the circumference, so we get c= pi times diameter. Once plugging in the 12, we see that c=37.68. 37.68 is the circumference of the entire clock and since we only need the circumference/length/distance of 35 minutes, we can set up the proportion of 37.68 in./60=x/35 and solve to get 21.98, which means 21.98 is how far the minute hand travels in 35 minutes.
Answer:
Step-by-step explanation:
Since L is the midpoint of MN, by the definition of midpoint:
We can picture the following segment:
M----------L----------N
We know that and . Since the two segments are equivalent, we can set them equal to each other:
Now, let's solve for x. Subtract -7 from both sides:
Subtract 3x from both sides:
Divide both sides by -1:
So, the value of x is 10.
With this, we can find the remaining lengths.
We know that ML is .
Substitute 10 for x. So, the length of ML is:
We know that LN is . So, the length of LN is:
Finally, MN will be the combined lengths of ML and LN. So:
And we're done!
The lengths of each segment are:
ML = 27, LN = 27, and MN = 54.
We have,
Let's use the information given to find the values of ML, LN, and MN.
ML = 2x + 7
LN = 3x - 3
L is the midpoint of MN, which means that ML is equal to LN:
2x + 7 = 3x - 3
Now, let's solve for x:
Move the x term to one side of the equation:
2x - 3x = -3 - 7
-x = -10
Now, multiply both sides by -1 to get rid of the negative sign:
x = 10
Now that we have the value of x, we can find the lengths ML, LN, and MN:
ML = 2x + 7
ML = 2(10) + 7
ML = 20 + 7
ML = 27
LN = 3x - 3
LN = 3(10) - 3
LN = 30 - 3
LN = 27
MN = ML + LN
MN = 27 + 27
MN = 54
Thus,
The lengths of each segment are:
ML = 27, LN = 27, and MN = 54.
Learn more about midpoints of linesegments here:
#SPJ3
Answer:1/16
Step-by-step explanation:
So I plugged in -4 for x
f(x)=2^-4= 1/16
hope that helps