Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
C is your answer, you tell without solving
15 = Juan
12 = Maria
I hope this helps! :D
Answer:
8)2.86 cm^2
9) 100.48 m^2
10) 23.08 in^2
Step-by-step explanation:
8) In the figure , there's a right angled triangle in which a circle of radius 1 cm is inscribed in that triangle.
Area of the right angled triangle =
Area of the circle =
Area of the shaded portion ( although itz not shaded..... i mean remaining portion ) = 6 - 3.14 =2.86cm^2
9) In this figure there's a circle in which more 2 circles are inscribed in such a way that the center of the bigger circle is in the circumferences of both the circles.
Area of the bigger circle =
The small circles have equal diameter ( i.e. 8m) . So , Area of the small circles =
Area of the shaded region =
200.96 - 100.48 = 100.48 m^2
10) In the figure , the radius of the circle is 9 in.
So the area of a quarter =
Also in that circle a right angled triangle is formed. Area of that right angles triangle =
So the area of the region shaded =
63.58 - 40.5 = 23.08 in^2
It is given in the question that, PA is a radius and AB is the tangent segment .
And in a circle, radius and tangent are always perpendicular, it means they form 90 degree with each other . Or angle PAB is a right angle .
And we cant say anything about the length s of PA and AB, neither of PA and PB.
So out of the four options, correct option is the third option .
