<h3>
Answer: (12,3)</h3>
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Explanation:
R is located at (3,4). Move it 3 units to the left and 4 units down to have it move to (0,0). Call this point A. Apply the same translation rule to point B so that (2,-5) moves to (-1,-9). Let's call this point C
Now you'll use the rule
which rotates any point around the origin 90 degrees counterclockwise. So we're rotating C around A.
Point C has the coordinates (-1,-9). When you use the rotation rule
we get
. We'll call this point D
Finally, undo the translation rule done at the start of the problem. So we'll go 3 units to the right and 4 units up to have point D move to point E = (12,3) which is exactly where point B' is located.
Check out the diagram below.
Answer:
The distance around the inside is 199.44 m.
Step-by-step explanation:
Given that,
Length = 84.39 m
Width = 9.76 m
Suppose, all the way around and 73 m wide.
We know that,
Perimeter of half circle is

We need to calculate the inner radius of the circle
Using formula of radius

Put the value into the formula


We need to calculate the distance around the inside
Using formula of distance
Distance around the inside= two inner perimeter of the circle+two length of rectangle

Put the value into the formula


Hence, The distance around the inside is 199.44 m.
4x² - 100 = 0
<u> + 100 + 100</u>
<u> 4x²</u> = <u>100</u>
4 4
x² = 25
x = <u>+</u>5
4(5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
4(-5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
The roots of the equation is positive or negative 5.
Answer:
0.79
Step-by-step explanation:
To find the inverse you have steps
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')
so we have
f(x)=2x+1
replace f(x) with y
y=2x+1
switch x and y
x=2y+1
solve for y
x=2y+1
subtract 1
x-1=2y
divide both sides by 2

=y
y=

repplace y with f⁻¹(x)
f⁻¹(x)=