Answer:
IV
Step-by-step explanation:
The Y column is the same, and so is the graph.
Answer:
10 years old
Step-by-step explanation:
Let's say the age of the younger sister is x. Then the age of the older sister must be x + 2 because the ages are consecutive <em>even</em> numbers.
"Twice the age of the youngest exceeds the oldest by 8" means that we multiply x by 2 and set that equal to (x + 2) + 8:
2x = (x + 2) + 8
2x = x + 10
x = 10
So, the youngest sister is 10 years old.
Answer:
They need an additional 54 inches of fabric
Step-by-step explanation:
This can be solved by using the unitary method.
Unitary method is that we find the measure of 1 unit and then mulitply it with the required number to get the actual measurement.
4 yards of fabric is equal to 144 inches
1 yard of fabric is equal to 144 inches/4= 36 inches
They need an additional 1 1/2 yards of fabric
So multiplying 1 1/2*36= 3/2*36= 3*36/2= 108/2= 54 inches
They need an additional 54 inches of fabric
Answer:
:))
Step-by-step explanation:
Collect like terms, keeping the integer rules in mind
5. 5a + 9b - 3a + 2b + 4a
5a + 4a - 3a + 9b + 2b (REARRANGE, if you find it to help)
6a + 11b
6. 7m + 3n - 8m + 2n + 10m
7m + 10m - 8m + 3n + 2n
9m + 5n
10. 10m²n + 5mn + 9m²n - 2mn
10m²n + 9m²n + 5mn - 2mn
19m²n + 3mn
Try to do the rest on your own :)
I believe the answer is cos^2 theta. Sec^2 theta on the right side of the equation is the inverse of Cos^2 theta, so multiplying the two together will get you 1. Cos^2 theta * Tan^2 theta = Sin^2 theta, and Cos^2 theta * 1 = Cos^2 theta. This all leads to the third and last step in the picture above.
