Answer:
In Point Slope Form: y+6=4(x-1)
Step-by-step explanation:
<u>First you have to find the points given which are:</u>
<u>Label the points x1, y1, x2, and y2</u>
- It already gives you the slope which is 4.
<u>Plot the points in the equation of Point Slope Form:</u>
<em><u>y1-y2=m(x-x1)</u></em>
<u>Simplify: y1-6=4x-4</u>
<u>It doesn't ask you to simplify but why not! </u>
Answer:
Step-by-step explanation:
Let x represent the number of attendees that it will take the company to break even.
The company pays a flat fee of $98 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $16 to purchase books and supplies. This means that the total cost that the company would pay for x attendees is
16x + 98
Each attendee will pay $65 for the seminar. This means that the total revenue that the company would generate from x attendees is 65x.
At the break even point,
total cost = total revenue
Therefore,
16x + 90 = 65x
65x - 16x = 98
49x = 98
x = 98/49
x = 2
It will take 2 attendees and the total expenses and revenues is
2 × 65 = $130
Answer:Triangle A: 38 degrees
Triangle B: Unknown (not enough information)
Triangle C: Unknown (not enough information)
Triangle D: 70 degrees
Triangle E: 40 degrees
Step-by-step explanation:
Hi there! An equation for this problem would look something like
12d=75
Since the farmer can harvest 12 acres per day, the variable d represents days. 12 times the number of days it would take to harvest the field would equal 75.
1. You have that the circle that defines the part of the planter wall which gets watered by the sprinkler is: (x−10)²+(y+12)²<span>=36.
2. The standard form for the equation of a circle is:
(x-h)</span>²+(y-k)²=r²
(h,k) is the center point.
r is the radius.
3. Keeping this on mind, you can find the value of the radius, as below:
r²=36
r=√36
r=6 m
4. Then, the diameter of the circle is:
D=2r
D=2(6m)
D=12 m
<span>
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?</span>
The answer is: 12 m