7.
To swap a figure to 90 degrees counter clock wise turn the points from
(x,y) to (-y,x)
Let’s get your points
(-2,3) ; (-4,2) ; (-2,-4)
Swap the values and make the new x’s negotiate
(-3,-2) ; (-2,-4) ; (4,-2)
These should be the points of the new figure with is 90 degrees counterclockwise of the first one.
10.
To find x you can either:
Add 93 and 54
Or
Find the missing value of the triangle and subtract it from 180. Let’s do both
x = 93 + 54
x = 147
Or
180 - 93 - 54
33
180 - 33 = 147
x = 147
8.
First we dilate the coordinates by 0.5
(-4,6) ; (2,6) ; (2,-4) ; (-4,-4)
Basically divide each x and by by two
(-2,3) ; (1,3) ; (1,-2) ; (-2,-2)
Two units left would be to subtract two from the x values
(-4,3) ; (-1,3) ; (-1,-2) ; (-4, -2)
Add three to each y value
New coordinates:
(-4,6) (-1,6) (-1,1) (-4,1)
6.
Since these are the same circle, then we need to multiply the radius by 2 and then make the newly formed diameters equal to each other
2(6x) = 10x + 8
Multiply
12x = 10x + 8
Get x on one side
2x = 8
Divide
x = 4
Plug in 4 for an equation
2(6(4))
48
Circumference = pi * diameter
Unsure if you use 3.14 for pi
If you use 3.14 :
(3.14) (48) = 150.72
If you use pi :
Pi (48) (rounded) = 150.80
B
Two points is a line
One capital letter is the plane
Answer:
<h2>(0, -2)</h2>
Step-by-step explanation:
A(x, y)
rotated 180°: A'(-x, -y)
translated n units:
left (x - n, y)
right (x + n, y)
up (x, y + n)
down (x, y - n)
We have R(-3, 2)
rotated 180°: (-(-3), -2) = (3, -2)
translated 3 units left: (3 - 3, -2) = (0, -2)
Answer: Sales tax is $4.80 and the total cost is $64.80
Step-by-step explanation: Take the difference in the total before and after tax and divide by the price before tax.
To get $4.80, find the sales tax of $60.00 of 8%
We can use this formula: (selling price x sales tax rate)
The sales tax is: $4.80
To find the total cost, add 60.00 by the sales tax. ($4.80)
60.00 + 4.80 = $64.80
Therefore, these are your answers: $4.80 and $64.80
Answer:
13.3 (rounded in the tenth place)
Step-by-step explanation:
equation: a^2 + b^2 = c^2
What we know :
a = 20^2 = 400
b = what we are looking for
c = 24^2 = 576
Our equation will be looking like :
20^2 + b^2 = 24^2
400 + b^2 = 576
Now we subtract 400 into 576
which equals 176 now we square root it
and get 13.2664 but we gotta square root it and that will lead you to have 13.3 as your answer
