The slope is the change in Y over the change in X
The change in y is -2-0 = -2
The change in X is 3-9 = -6
The slope is -2/-6, which simplifies to 1/3
Answer: ]1, 2[
Step-by-step explanation:
![A \cap B=[0; 2[\\\\(A \cap B)-C=]1, 2[](https://tex.z-dn.net/?f=A%20%5Ccap%20B%3D%5B0%3B%202%5B%5C%5C%5C%5C%28A%20%5Ccap%20B%29-C%3D%5D1%2C%202%5B)
P = 2(L + W)
P = 28
L = 2W - 1
28 = 2(2W - 1 + W)
28 = 2(3W - 1)
28 = 6W - 2
28 + 2 = 6W
30 = 6W
30/6 = W
5 = W ....width is 5 ft
L = 2W - 1
L = 2(5) - 1
L = 10 - 1
L = 9 <=== length is 9 ft
Answer:
x=4.77
Angle 3=98.32 degrees
Angle 6= 81.68 degrees
Step-by-step explanation:
(Assuming these are parallel lines), Angle 3 and angle 5 are equal because they are alternate Angles. Therefore we can write the following equation to solves for x:
16x+22=3x+84 (angle 3=angle5)
Which we can now solve:
16x +22 - 22 - 3x=3x-3x+84-22
13x=62
13x/13=62/13
x=4.77 (2dp)
We can then use this x to calculate angle 3:
16(4.77)+22
76.33+22=98.32 degrees
Finally,
Angle 6 and angle 3 are interior angles, so they add up to 180 degrees.
So to find angle 6,we can just subtract angle 3 from 180:
180-98.32=81.68 degrees.
Hope this helped!
Answer:
The equation of the circle is
(x + 2)² + (y + 2)² = 9
Centered at (-2, -2), with radius of 3 units.
Step-by-step explanation:
The general equation of a circle is given as
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle, and r is the radius.
Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).
The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.
Using these in the general equation, we have
[x - (-2)]² + [y - (-2)]² = 3²
(x + 2)² + (y + 2)² = 9
And this is the equation.
