20 5/81 in its simplest form is 20 5/81.
20 5/81 originally looks like this ⇒ 1625/81
((20 * 81)+5)/81 = (1620+5)/81 = 1625/81 * this is an improper fraction because the numerator is greater than the denominator. Improper fractions must be converted to proper fractions. It will then become a mixed fraction.
<u> 0020 5/81</u>
81 | 1625
<u>162 </u> * 81 x 2
05
Answer:
-24
Step-by-step explanation:
-8/5 ( -3/2 ) ( -10 )
-8/5 ( -3/2 ) = 24/10 = 12/5 or 2 2/5
12/5 ( -10 ) = -120/5 = -24
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The first two x-values, -4 and 0, fall in the first part of the function definition.
There is no function definition for x = 4, as the second part only applies for x > 4.
The last x-value, 8, falls in the second part of the function definition.
The function is evaluated by putting the x-value where x is in the expression and doing the arithmetic. For example, ...
h(-4) = -(-4+1)^2 +7 = -(-3)^2 +7 = -9 +7 = -2
h(0) = 6
h(4) = undefined
h(8) = -8/3
Answer:
Step-by-step explanation:
first we need to find the slope using the slope formula :
slope = (y2 - y1) / (x2 - x1)
(-9,7)...x1 = -9 and y1 = 7
(-6,-3)....x2 = -6 and y2 = -3
now we sub
slope = (-3 - 7) / (-6 - (-9) = -10 / (-6 + 9) = -10 / 3
so our slope is -10/3
now we use y = mx + b....with m representing the slope
slope(m) = -10/3
use either of ur points....I will use (-9,7)...x = -9 and y = 7
we are solving for b, the y intercept
now we sub
7 = -10/3(-9) + b
7 = 30 + b
7 - 30 = b
- 23 = b
so ur equation is : y = -10/3x - 23
The markings indicate the figures are congruent. The orientation of both figures is clockwise, so no reflection is involved. The direction of QR appears to be 90° counterclockwise from the direction of EF, It appears as though the center of rotation is somewhere in the triangle EGS.
The transformation appears to be a 90° CCW rotation.