ANSWER
The standard form is:
EXPLANATION
The given line passes through (4,10)and (6,11).
The slope of this line is
The equation is given by the formula,
We plug in the first point and the slope to get.
The standard form is
Answer:
1 2/1 ÷1 1/2 = 2
Step-by-step explanation:
dividend ÷ divisor = quotient
1 2/1 ÷1 1/2 = 2
In order to solve this you need to make the mixed numbers into an improper fraction:
3/1 ÷ 3/2
use the KFC method (Keep Change Flip)
When you got to fractions you wanna divide flip the right and multiply
3/1 (2/3)= 2
Answer:
Step-by-step explanation:
<u>Slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept
Line p: y= -8x +6
slope= -8
The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.
m(-8)= -1
m= -1 ÷(-8)
m= ⅛
Substitute m= ⅛ into the equation:
y= ⅛x +c
To find the value of c, substitute a pair of coordinates that the line passes through into the equation.
When x= 2, y= -2,
-2= ⅛(2) +c
Thus, the equation of line q is 
.
Answer:
x = -122/13 OR 9.3846
Step-by-step explanation:
First, take a look at the second equation. Add 8x to the other side.
-7y= 8x -18
Then, divide by -7 to get a regular "y=" equation.
y= 8/7x -18/7
Move on the the first equation. Let's get "y" by itself. Add 3x to the other side.
y= 3x +15
Considering both equations are equal to Y, set them equal ( except the "y" part )
8/7x - 18/7 = 3x + 15
Multiply all by seven so that there are no fractions.
8x - 18 = 21x + 105
Subtract 8x from both sides.
-17 = 13x + 105
Subtract 105 from both sides.
-122 = 13x
Divide by 13 on both sides.
x = 9.3846
Or if you don't want decimals, just say x = -122/13
Quick Note: I made a mistake. I had looked at the second equation at -18. The answer is incorrect but the method of solving is correct. Also, make sure to plug in the value of x to get Y.
Answer:
Circumcenter of a triangle is formed by joining the perpendicular bisectors of three sides of triangle.
As we draw perpendicular bisectors of three sides, they will intersect at one point(say O) which lies inside the circle.
From that point of intersection, draw a circle touching each of the vertex of a triangle and we get a circumcircle. And O becomes centre of the circle.
Hence, circumcenter lies inside the triangle.
