Answer:
(0,4)
Step-by-step explanation:
Subtract the first equation from the second, obtaining y = 4. Then substitute 4 for y in the first equation, obtaining x + 2(4) = 8; it follows that x = 0.
The solution is (0,4).
Answer:
1:5
Step-by-step explanation:
The total number of eggs would be 15×6, or 90.
The eggs in 3 boxes would be 18.
18:90
Then simplify.
1:5
Answer:
True
Step-by-step explanation:
Notice that the pattern is "previous term plus 2". This is an arithmetic sequence where the difference (d) equals +2
= a₁ + d(n - 1) ; where a₁ is the first term, d is the difference, and n is the term.
f(n) = 1 + 2(n - 1)
f(n) = 1 + 2n - 2
f(n) = 2n - 1
********************************
f(10) = 2(10) - 1
f(10) = 20 - 1
f(10) = 19
Answer:
Step-by-step explanation:
All the interior angles are of measure 60 degrees.
We want to find the height of this triangle. Call it h. On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.
The ratio of height to base is the tangent of 60 degrees:
h
tan 60 degrees = --------------
5
h
and tan 60 degrees = 1.73 = ------
5
Multiplying both sides of this equation by 5 yields h = 8.66. This is |BD|. This is the same as Answer B.
