He will have 7.75 left from the 20 dollar bill he spent
Answer:
98 - 40√6
Step-by-step explanation:
We have to simplify the following product :
.
Now,
=
=
{Since we know the identity (a - b)² = a² - 2ab + b² }
= 50 - 40√6 + 48
= 98 - 40√6 (Answer)
Answer:
slope of M'N' = 1
Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)
For point N':
x coordinate of N' = k * x coordinate of N
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)
Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1
Hope this helps :)
Answer:
-35c^12
Step-by-step explanation: Hope this helped.
Answer:
4-8 inches
Step-by-step explanation:
Using triangle inequality (let a, b, c be the side lengths of a triangle. a+b>c, and vice versa). The least length of the third side is 4 because 3+4>6. This is not possible for 3 because 3+3 is not greater than 6. The greatest is 8 because 3+6>8. It cannot be 9 because 3+6 is not greater than 9.