Answer:
Step-by-step explanation:
For one line to be perpendicular to another, their slopes must multiply to -1. So, we really want the line with slope 
that passes through the point 
.
Recall the point-slope form of a line. If you have a point 
and a slope 
, the line through that point with the given slope is 
. Plugging in our given point and slope gives our line: 
(point-slope form).
We can convert this line to slope-intercept form, the most common form by expanding the right side and adding 
to get 
by itself:
Answer:
<u>The correct answer is 3.77 strokes as the average score for the ninth hole of the Cottonwood Golf Course.</u>
Step-by-step explanation:
1. To find the average score, we need to know how many strokes the 75 golfers needed to play this ninth hole. For doing that, we will do the following addition, using the frequency data given:
1 x 1 = 1
1 x 2 = 2
32 x 3 = 96
27 x 4 = 108
8 x 5 = 40
6 x 6 = 36
1 + 2 + 96 + 108 + 40 + 36
<u>283</u>
<u>This means that all the 75 golfers scored 283 strokes for playing the ninth hole</u>
2. Now that we know that the total number of strokes was 283, we will do a division for find the average score, using also the number of golfers. For doing it, we will do the following division:
Total number of strokes/ total number of players
<u>283/75 = 3.77</u>
<u>The average score is 3.77. It means that the 75 golfers in average hit 3.77 strokes to play the ninth hole.</u>
Answer:
<em>x = -2, y = -1</em>
Step-by-step explanation:
<u>System of Equations</u>
Solve the system:
y = 1/2x
y = -x - 3
Multiplying the first equation by 2:
2y = x
Substituting x in the second equation:
y = -2y - 3
Adding 2y:
3y = -3
y = -3/3
y = -1
And x = 2*(-1) = -2
Solution: x = -2, y = -1
Answer:
A.
Step-by-step explanation:
We have x in exponent, so it is an exponential function.
Exponent is negative, so is is an exponential decay.
The answer is D, (2,2). A vertex is where a line or curve meets and changes direction.
