10. 4w^2 + 7w^2 + 7z^2
Combine each term with the same variable.
11w^2 + 7z^2
This is in simplest form.
11. 3x + 4(5x + 2)
Multiply each term inside the parentheses by 4.
3x + 20x + 8
Combine all the terms with the same variable.
23x + 8
This is in simplest form.
Answer:
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and the corresponding angles are congruent
In this problem Triangles PQT and RQS are similar by AA Similarity Theorem (The three angles are congruent)
therefore
Answer:
Step-by-step explanation:
d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)
Indefinite integral:
integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant
Global minimum:
min{2 n^2 + 12 n + 18} = 0 at n = -3
Answer:
360 miles
Step-by-step explanation:
If you travel 90 miles in 1 ½ hours, it will take 360 miles if you drove 6 hours.
All you have to do is, multiply 1 ½ until you get to 6.
The easiest way is:
1 ½ = 90 miles
1 ½ (90 miles) x 2 = 3 or 180 miles
3 (180 miles) x 2 = 6 or 360
Therefore, 6 hours = 360 miles.
Answer:
x = 69
Step-by-step explanation:
