The absolute value of |-2| is 2 then you have to add the negative sign on the outside, so the answer will be -2
Answer:
y=-5x-5
Step-by-step explanation:
The line contains points at (-2,5) and (0,-5)
(y1-y2) / (x1-x2) = slope
(-2,5) =(x1,y1)
(0,-5) = (x2,y2)
(5--5) / (-2-0)
10 / -2 = -5
y= -5x + b
plug in points for x and y to find b
5=-5(-2)+b
5=10+b
-5=b
y=-5x-5
M = -2
In perpendicular lines, the slopes are opposite reciprocal. This means you flip the sign (from + to - or from - to +) and flip the numerator and denominator.
So 1/2 becomes negative, and 2/1 = 2
So the slope is -2
Answer:
A
Step-by-step explanation:
since the radius is 12, the most the circle expands out towards is 15 for x and 15 for y. (-6,-5) easily fits inside it.
The area of the given shape is 220.24 square cm.
Step-by-step explanation:
Step 1;
Area of given shape = Area of the rectangle + Area of the quarter circle.
The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.
The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.
Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.
200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.
Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.
So the quarter circle covers an area of 50.24 square cm.
Step 2;
Area of given shape = Area of the rectangle + Area of the quarter circle
Area of given shape = 170 + 50.24 = 220.24 square cm.
