X= 240/7
So we know that according to the law of multiplying exponents that when multiplying them, you are just adding them together
With that in mind, x/6+x/8=10
From here, we can just solve for x!
Multiply both sides by 24
4x+3x=240
Add the x’s
7x=240
Anddddd divide both sides by 7
x=240/7
Remember, you can always double check your answer by plugging in your answer into your original equation! :)
N, n+1, n+2
(n+1)(n+2)=6(n+n+1)-12
n^2+3n+2=12n+6-12
n^2+3n+2=12n-6
n^2-9n+8=0
n^2-n-8n+8=0
n(n-1)-8(n-1)=0
(n-8)(n-1)=0
So there are actually two solutions that satisfy the conditions for the cousin's ages...
1,2, and 3 years old and 8,9,and 10 years old.
check...
2*3=6(1+2)-12, 6=18-12, 6=6
9*10=6(8+9)-12, 90=102-12, 12=12
Answer:
- 3. line y=x
- 4. 10 units to the right and 4 units up
Step-by-step explanation:
In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.
_____
You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.
After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.
Answer:
x=3
y=6
Step-by-step explanation:
Hope this helps! :)
Answer:
Positive 8 3/4
Step-by-step explanation:
My way:
-1 2/3 times -5 1/4
- 1 2/3 simplifies to -5/3
-5 1/4 simplifies to -21/4
-5/3 times -21/4 is 35/4
Simplify that which is 8 3/4
(negative times negative = positive)