Answer:
vertex: (4,-6), y= -14
Step-by-step explanation:
vertex can be derived from this formula
(4, -6)
to find y intercept you need to set x=0
y=2(0-4)-6
=-8-6
y= -14
Answer:
shaded area = 113.64 cm²
Step-by-step explanation:
To find the shaded area, subtract the area of the circle from the area of the triangle.
Area of a triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²
Area of a circle =
(where r is the radius)
From inspection, we can see that the diameter of the circle = 14 cm
Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm
⇒ area of circle = 3.14 x 7² = 153.86 cm²
Shaded area = area of triangle - area of circle
⇒ shaded area = 267.5 - 153.86 = 113.64 cm²
Different points are used to identify the line, this can mean that both points lie on the same line.
Therefore the slope is the same because the line passes through both those points.
Answer:
1,2,3,4,5
Step-by-step explanation:
Every whole number is a rational number.
Area of shaded area= area of large rectangle-area of small rectangle
=(2x+a)(2x)-x(x+b)
=4x^2+2xa-x^2-bx
=3x^2+2xa-bx
=3x^2+2x-4x
=3x^2-2x+0