Answer:
-11
Step-by-step explanation:
The answer to the first one sould be -11
2x^3 +5x^2−x−6
Write 5x^2 as 4x^2 + x^2......and we have.....
2x^3 + 4x^2 + x^2 - x - 6
2x^2 ( x + 2) + ( x + 2)(x - 3)
(x + 2) [ 2x^2 + x - 3]
(x + 2) (2x +3) (x - 1)
x^3−4x^2−3x+18 = 0
Using some synthetic division, we have
3 [ 1 - 4 -3 18 ]
3 -3 -18
_______________
1 -1 -6 0
The remaining polynomial is x^2 - x - 6 which factors as (x - 3) ( x + 2)
So .... the factored form is (x - 3) ( x - 3) ( x + 2) = ( x + 2) ( x - 3)^2 = 0
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))
You know m = -3, so you can plug it into the equation
y = mx + b
y = -3x + b
To find "b", plug in the point (4,-2) into the equation
y = -3x + b
-2 = -3(4) + b
-2 = -12 + b Add 12 on both sides
10 = b
y = -3x + 10 Your answer is B
40%=0.4
0.4+1=1.4
4.5(1.4)=6.3
The answer is $6.30
The answer to this question is c=3
Answer:
<em>Image attached</em>
Step-by-step explanation:
<u>Elements in a Circle</u>
Before drawing the 8 required elements in the circle, let's recall some basic definitions:
- Chord: A straight line whose extremes both lie on the circle
- Tangent: A straight line that touches the circle in one point and is perpendicular to the radius at the point of tangency
- Radius: It's a straight line from the center of a circle to its circumference
- Secant: It's a line that that intersects the circle in exactly two points
- Point of tangency: Is the point where the tangent line touches the circumference
- Diameter: It's a straight line from one point to the circle going through the center.
- Minor arc: Is an arc of a circle that measures less than or equal to 180 degrees
- Mayor arc: Is an arc of a circle that measures more than 180 degrees
Please refer to the image below to see all the elements described above