Answer:
Step-by-step explanation:
hello :
x2+y2+16y−30x=0 means : (x²-30x)+(y²+16y) =0
(x²-30x+15²)-15²+(y²+16y+8²) -8²=0
(x-15)²-225+(y+8)²-64=0
(x-15)²+(y+8)²=289=17²......standard form when the center is (15,- 8)
and radius 17
Answer:
The slope is 13.
The x intercept is
.
The y intercept is
.
Step-by-step explanation:
1. Finding the slope.
This is a linear equation, because <u>it's graph forms a line</u>. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, <u>the slope is 13</u>.
2. Finding the x intercept.
The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:
![13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}](https://tex.z-dn.net/?f=13x-y%20%2B%2012%20%3D%200%5C%5C%5C%5C13x-%280%29%20%2B%2012%20%3D%200%5C%5C%5C%5C13x%2B12%20%3D%200%5C%5C%5C%5C13x%3D%20-12%5C%5C%5C%5Cx%3D%5Cfrac%7B-12%7D%7B13%7D)
<u>The x intercept is </u>
<u>.</u>
3. Finding the y intercept.
The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:
![13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12](https://tex.z-dn.net/?f=13x-y%20%2B%2012%20%3D%200%5C%5C%5C%5C13%280%29-y%20%2B%2012%20%3D%200%5C%5C%5C%5C-y%20%2B%2012%20%3D%200%5C%5C%5C%5C-y%3D-12%5C%5C%5C%5Cy%3D12)
<u>The y intercept is </u>
<u>.</u>
Answer:
28 ft2
Step-by-step explanation:
You add the bases then you multiply by the height. After that you divide by 2 to get your answer. Hope this helps!!
Answer:
The remaining credit after 45 minutes of calls is $18.70
Step-by-step explanation:
Here, we have a linear model to work with
Let us have the coordinates as follows;
(time calling time, credit remaining)
So we have two points as follows;
(24,21.64) and (35,20.10)
The slope will be;
(20.1-21.64)/(35-24) = -1.54/11 = -0.14
So the equation looks like;
y = -0.14x + c
To get the y-intercept, we simply substitute a point
Let us use (35,20.10)
20.10 = -0.14(35) + c
c = 20.10 + 4.9
c = 25
So the full equation is;
y = -0.14x + 25
So for 45 minutes, simply substitute 45 for x
We have this as:
y = -0.14(45) + 25
y = -6.3 + 25 = $18.70
First, you must add the total of Monday amd Tuesday
4.32+6.86=11.18
Then you subtract the totals from this week and last week
11.18-7.89=3.29
3.29 rounds to 3.30 aka 3.3 so your answer is C