Answer:
It is the easiest way to graph an equation.
Step-by-step explanation:
Isolating the y variable is also slope-intercept form.
Slope intercept form is the easiest form to use when graphing.
y = mx + b
m is the slope, b is the y-intercept.
it makes it way easier to graph an equation when it is in slope intercept form.
I hope that helps! =)
Answer:
The radius of the circle ,r= 1.43 m
The length of the side of square ,a= 2.77 m
Step-by-step explanation:
Given that
L= 20 m
Lets take radius of the circle =r m
The total parameter of the circle = 2π r
Area of circle ,A=π r²
The side of the square = a m
The total parameter of the square = 4 a
Area of square ,A'=a²
The total length ,L= 2π r+ 4 a
20 = 2π r+ 4 a
r=3.18 - 0.63 a
The total area = A+ A'
A" =π r² +a²
A"= 3.14(3.18 - 0.63 a)² + a²
For minimize the area
3.14 x 2(3.18 - 0.63 a) (-0.63) + 2 a = 0
3.14 x (3.18 - 0.63 a) (-0.63) + a = 0
-6.21 + 1.24 a + a=0
2.24 a = 6.21
a=2.77 m
r= 3.18 - 0.63 a
r= 3.18 - 0.63 x 2.77
r=1.43 m
Therefore the radius of the circle ,r= 1.43 m
The length of the side of square ,a= 2.77 m
Answer:
<em>The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)</em>
Step-by-step explanation:
<u>Distance Between Points in the Plane
</u>
Given two points A(x,y) and B(w,z), the distance between them is:
It can be also expressed as:
Substituting the values of both points, and knowing the distance is 10:
Swapping both sides:
Moving the constants to the right side:
Taking the square root:
We get two possible answers:
Thus the points that are 10 units from the point P(-17,-2) are (-23,6) and (-11,6)
You need to isolate either X or Y
For the first problem I decided to isolate the X
I moved the Y and -2 over to the other side of the equal sign. this makes their positive or negative values to turn the opposite. Heres how this looks
5x=-3y-4+2
I then add both the 2 and -4 together to get -2. this is how that would look like
5x=-3y-2
I now have to divide everything by 5 so i can have X by itself. this is what X equals
5/5X= -3/5y-2/5
x=-3/5y-2/5
Now we go back to the problem but we implement the bolded instead of there being an X. This is how that would look like
5(-3/5y-2/5)+3y-2=-4
then I multiply the bolded by 5.
-3y-2+3y-2=-4
from here I just add
-4=-4
I then go back to the original problem and implement the -4 into the Y
5x+3(-4)-2=-4
Solve for x
5x-12-2=-4
5x-14=-4
5x=10
from here we isolate the x by dividing by 5
5/5x=10/5
this leaves us with
x=2
y=-4
To check our answer we imput those into their correct positions. this is how it would look like
5(2)+3(-4)-2=-4
10-12-2=-4
10-14=-4
-4=-4
When both equal the same we know this is True and with that we know the answers are correct. Ill let you try the other 2 so you can get some practice in. (ps. they are easier than the first one)
<em><u>HOPE</u></em><em><u> </u></em><em><u>THIS</u></em><em><u> </u></em><em><u>HELPED</u></em><em><u>.</u></em><em><u> </u></em><em><u>DONT</u></em><em><u> </u></em><em><u>FORGET</u></em><em><u> </u></em><em><u>TO</u></em><em><u> </u></em><em><u>PUT</u></em><em><u> </u></em><em><u>THIS</u></em><em><u> </u></em><em><u>AS</u></em><em><u> </u></em><em><u>THE</u></em><em><u> </u></em><em><u>BRAINLIEST</u></em><em><u> </u></em><em><u>ANSWER</u></em><em><u>,</u></em><em><u> </u></em><em><u>GIVE</u></em><em><u> </u></em><em><u>IT</u></em><em><u> </u></em><em><u>A</u></em><em><u> </u></em><em><u>5</u></em><em><u> </u></em><em><u>STAR</u></em><em><u> </u></em><em><u>AND</u></em><em><u> </u></em><em><u>A</u></em><em><u> </u></em><em><u>HEART</u></em><em><u>.</u></em><em><u> </u></em>