Answer:
(-6,-4)
Step-by-step explanation:
A reflection over the x-axis changes the y variable
(x,y)--->(x,-y)
Answer:
195
Step-by-step explanation:
Let wining name have, x votes
1st = x
2nd = x - 53
3rd = x - 79
4th = x - 105
x + (x - 53) + (x - 79) + (x - 105) = 963
x + x - 53 + x - 79 + x - 105 = 963
4x - 237 = 963
4x = 963 + 237
4x = 1200
x = 1200 / 4
x = 300
4th = x - 105
x - 105 = 300 - 105 = 195
Answer: 7.867 x 10^8
Step-by-step explanation:
(the “^8” is an exponent of 8)
Answer:
See the attached figure.
Given:
u = (-3.5 , -1.5) and v = (-1.25 , 2.25)
So,
2v = 2 * (-1.25 , 2.25) = (-2.5, 4.5)
∴ 2v - u = (-2.5, 4.5) - (-3.5 , -1.5) = (1 , 6)
The graph of the vectors is as shown in the attached figure.
The area of the shaded region is 15.453 square units.
Step-by-step explanation:
Step 1:
The given shape consists of a rectangle and two circles.
The length of the rectangle is given as 12 cm. Both the diameters of the circles equal 12 cm. So each circle has a diameter of 6 cm and thus a radius of 3 cm.
The diameter of the circle is equal to the width of the rectangle.
So the rectangle has a length of 12 cm and a width of 6 cm. The circles have radii of 3 cm each.
Step 2:
The area of the rectangle
square cm.
The area of each circle
square cm.
The area of both circles
square cm.
The area of the shaded region is the difference between the area of the rectangle and the area of both circles.
The area of the shaded region
square units.
The area of the shaded region is 15.453 square units.