Answer:
7 sheets of paper
Step-by-step explanation:
$40-$19=$21
$21/$3=7 sheets of paper.
In words:
I did 40 minus 19 to get 21, and the divided 21 by 3 to get 7 sheets of paper.
Answer:
1 / 3^5
1/ 243
Step-by-step explanation:
3^4 ÷ 3^9
We know that a^b ÷ a^c = a^ ( b-c)
3 ^ ( 4-9)
3^ -5
We can rewrite this as a^-b = 1/ a^b
1 / 3^5
We know that 3^5 = 243
1/ 243
Answer:
Step-by-step explanation:
The segment joining an original point with its rotated image forms a chord of the circle of rotation containing those two points. The center of the circle is the center of rotation.
This means you can find the center of rotation by considering the perpendicular bisectors of the segments joining points with their images. Here, the only proposed center that is anywhere near the perpendicular bisector of DE is point M.
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Segment AD is perpendicular to corresponding segment FE, so the angle of rotation is 90°. (We don't know which way (CW or CCW) unless we make an assumption about which is the original figure.)
Answer:
radians
Step-by-step explanation:
Arc length and radius is given. So, we need to know the arc length formula for a circle.
That is:
Where s is the arc length
r is the radius
is the angle (IN RADIANS)
We have:
s = 15.5
r = 9
Now, we substitute and find the angle:
The angle, in radians, in 1.72
Answer:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
