Steps in constructing a circumscribed circle on a triangle using a just a compass and a straight edge.
1) construct a perpendicular bisector of one side of ΔRST.
2) construct another perpendicular bisector of another side of ΔRST
3) the point where the two bisectors intersect will be the center of the circle.
4) place the compass on the center point, adjust its length to ensure that any corner of the triangle will be reached and draw the circumscribed circle.
Answer:
The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2
Step-by-step explanation:
We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.
3y=4x+6
y=(4/3)x+2
The gradient is therefore 4/3 and the y intercept is 2.
At the c intercept, y=0
0=(4/3)x +2
(4/3)x=-2
x=-2×3/4
=3/2
The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2
Answer:
D. 20
Step-by-step explanation:
First, we need to plug in -2 to all the spots where x are. The new equation we have then is f(-2)= 2(-2)^2 - 3(-2) + 6. Then, we plug in the exponent to get 2(4) - 3(-2) + 6. We can then multiply to get 8 + 6 (since the three was negative as well) + 6, which equals 20.
Answer:
y=3x- 3/2
Step-by-step explanation:
4.2x−1.4y=2.1
Subtract 4.2x from each side
4.2x-4.2x−1.4y=-4.2x+2.1
-1.4y = -4.2x +2.1
divide each side by -1.4
-1.4y/-1.4y = -4.2x/ -1.4 +2.1/-1.4y
y=3x- 3/2
Answer:
one trillion
Step-by-step explanation: