Answer:
If M is midpoint of AB, then
AM=MB
4x-5= 2x+11
2x=16
x=8
AM= 4x-5
=4(8)-5
=32-5
=27
BM=2x+11
=2(8)+11
=16+11
=27
Hope it helps:-)
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2
sin(x)^2 = 1 - cos(x)^2:
sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
-(1 - cos(x)^2) = cos(x)^2 - 1:
cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2
sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:
-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2
(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:
cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
<u>Given </u><u>:</u><u>-</u><u> </u>
- Mrs. Smith left a 15% tip for a dinner that cost $62.40.
<u>To </u><u>find</u><u> </u><u>:</u><u>-</u><u> </u>
- About how much tip did Mrs. Smith leave?
<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>
The tip is 15% of $62.40 .
<u>•</u><u> </u><u>Calculating</u><u> </u><u>1</u><u>5</u><u>%</u><u> </u><u>of </u><u>$</u><u>6</u><u>2</u><u>.</u><u>4</u><u>0</u><u> </u>
- $ 62.40 * 15%
- $ 62.40 * 15/100
- $ 9.36
Answer:
-56
Step-by-step explanation:
Formula to get determinant is::
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%3D%20ad-bc)
0(0)-8(7)
0 - 56
-56
What you can do is split one of the binomials and then apply the distributive property if f(x) = (x + 3)(x -2) split the 1st binomial f(x) = x(x -2) + 3(x -2) now apply the distributive property to get
f(x)=x2−2x+3x−6
which simplifies to
f(x)=x2+x−6
