Answer:
<em>The three angle bisector intersect at a point called the incenter</em> of the triangle, which is actually the center of the triangle. This center point is at equal distance from all sides of the triangle.
Also if a circle is inscribed in the triangle, the incenter will be located at the center of that circle.
8m+12d=220
2m+3d=55
6m+9d=165
6m+8d=152
-
6m+9d=165
=
-d=-13
d=13
m=8. Hope it help!
Answer:
The answer at the letter 90
Answer:
y=8x-23
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is 8, m=8.
subst. m=8 into the equation:
y= 8x +c
To find c, substitute a coordinate.
When x=3, y= 1,
1= 8(3) +c
1= 24 +c
c= 1 -24
c= -23
Thus, the equation of the line is y= 8x -23.
Answer:
The value is -3
Step-by-step explanation:
Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.
To get this done with, we will need to factorize the expression on the left hand side of the equation.
Thus, we can write;
-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)
What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.
Thus, we can finally write ;
-27x^2 + 9x + 12 as -3(9x^2 -3x -4)
This exactly gives the expression on the right hand side
Thus the value to place in the blank is -3