Answer:
4x+5y-34=0
Step-by-step explanation:
The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.
My goal is to put in in this form first. Then I will aim to put it in general form, ax+by+c=0.
So let's give it a go:
m is the change of y over the change of x.
To compute this I'm going to line my points up and subtract vertically, then put 2nd difference over 1st difference. Like this:
( 1 , 6)
-(6 , 2)
----------
-5 4
So the slope is 4/-5 or -4/5.
So m=-4/5.
Now we are going to find b given y=mx+b and m=-4/5 and we have a point (x,y)=(1,6) [didn't matter what point you chose here].
6=-4/5 (1)+b
6=-4/5 +b
Add 4/5 on both sides:
6+4/5=b
30/5+4/5=b
34/5=b
So the y-intercept is 34/5.
The equation in slope-intercept form is:
y=-4/5 x + 34/5.
In general form, it is sometimes the goal to make all of your coefficients integers so let's do that. To get rid of the fractions, I'm going to multiply both sides by 5. This clears the 5's that were on bottom since 5/5=1.
5y=-4x+34
Now add 4x on both sides:
4x+5y=34 This is standard form.
Subtract 34 on both sides:
4x+5y-34=0
2(x - 1) > = -12
2x - 2 > = -12
2x > = -12 + 2
2x > = -10
x > = -10/2
x > = -5 or -5 < = x
wrong solution would be B. x less then or equal to -5....because x is greater then or equal to -5
Answer:
m = 3 , n = 4
Step-by-step explanation:
<u>Using Section Formula.</u>
<u />
<u />
![Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3](https://tex.z-dn.net/?f=Here%20%28x_1%20%2C%20y_%201%20%29%20%3D%20%28%20-7%20%2C%201%20%29%20%5C%20and%20%5C%20%28x_%202%20%2C%20y%20_%202%20%29%20%3D%20%28m%20%2C%206%29%5C%5C%5C%5Cratio%5C%20a%3Ab%20%20%3D%203%20%3A%202%5C%5C%5C%5CTherefore%2C%20P%20%28x%2C%20y%29%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B3m%20%2B%20%282%5Ctimes%20-7%29%7D%7B5%7D%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5B%20%5C%20x%20%3D%20%20-1%20%5C%20%5D%20%5C%5C%5C%5C-1%20%3D%20%5Cfrac%7B3m%20-%2014%7D%7B5%7D%5C%5C%5C%5C-%205%20%3D%203m%20-%2014%5C%5C%5C%5C-5%20%2B%2014%20%3D%203m%5C%5C%5C%5C9%20%3D%203m%20%5C%5C%5C%5Cm%20%3D%203)
<u />
<u />
Answer:32
Step-by-step explanation:
24/x = 3/4.....cross multiply and then divide
Answer:
Make sure you are using a perfect circle. This method won't work with ellipses, ovals or anything but a real circle. A circle is defined as all the points on a plane that are an equal distance from a single center point. The lids of jars are good household objects to use for this exercise.You should be able to calculate pi roughly because in order to get exact results of pi, you will need to ...
Measure the circumference of a circle as accurately as you can. The circumference is the length that goes around the entire edge of the circle. Since the circumference is round, it can be difficult to measure (that's why pi is so important). Lay a string over the circle as closely as you can. Mark the string off where it circles back around, and then measure the string length with a ruler.
Measure the diameter of the circle. The diameter runs from one side of the circle to the other through the circle's center point.
Use the formula. The circumference of a circle is found with the formula C= π*d = 2*π*r. Thus pi equals a circle's circumference divided by its diameter. Plug your numbers into a calculator: the result should be roughly 3.14.[3] X Research source
Repeat this process with several different circles, and then average the results.
Step-by-step explanation:
