The answer would be -9/40
Here’s how you solve it!
Use PEMDAS through out the whole process
Anything that I should multiplied by 1 stays the same so you can multiply the 1 first so your equation looks like this:
3✖️1/8✖️(2/3➕2✖️2/3✖️(1/4➖6/5))
Now subtract the fractions that are in the parentheses, subtract 1/4➖6/5 so your equation looks like this:
3✖️1/8✖️(2/3➕2✖️2/3✖️(➖19/20))
Since a positive multiplied by a negative equals a negative change the sign so your equation should look like this:
3✖️1/8✖️(2/3➖2✖️2/3✖️19/20)
Then use the greatest common divisor and reduce it by 2
3✖️1/8✖️(2/3➖2/3✖️19/10)
Then reduce again
3✖️1/8✖️(2/3➖1/3✖️19/5)
Then multiply the two factors so it now looks like this:
3✖️1/8✖️(2/3➖19/15)
Now subtract what’s in the parentheses so you get this:
3✖️1/8✖️(➖3/5)
Since a positive multiplied by a negative equals a negative it will now look like this:
➖3✖️1/8✖️3/5
Now all you have to do left is calculate the product to get your answer:
-9/40
Hope this helps! :3
Answer:
option b
reflection over the line y = x
Step-by-step explanation:
Matrix for every option is mention below
a)
rotation of 90° counter clockwise about the origin
0 -1
1 0
b)
rotation of 180° about the origin
-1 0
0 -1
c)
for a reflection in the line y=x
0 1
1 0
d)
translation 1 unit left and 1 unit up
1 0
0 1
Answer:
If x varies directly as y, then x=ky. y=5 and x=2.5 are substituted into x=ky to find k.
2.5=5k
k=2.5/5
k=5.
K =5 is substituted in x=ky to find y where x is 10.
x=5y
10=5y
y=10/2
y=2
