THE EQUALITY WITH BOUNDARY IS B
Dependent
The general form for a pair of linear equations in two variables x and y is
and
----- (1)
----- (2)
Comparing equations 1 and 2 with the general form of equation to write their co-efficient,
Compare the ratio,
If , then the pair of linear equations has exactly one solution.
So, it said to be consistent.
Answer:
48
Step-by-step explanation:
Since there is an absolute value, the answer must be positive. Multiply 2 by 8 since two negatives equal a positive. So, |15-47 + 9 - 8 -17|. Then add and subtract to get the answer. -32 + 9 - 8 -17 = -48. |-48| = 48
<em>a^m × a^n = a^(m+n)</em>
means that when you take a number, a, multiplied by itself m times, and multiply that by the same number a multiplied by itself n times, it's the same as taking that number a and raising it to a power equal to the sum of m and n.
To prove this, we can verify it numerically:
Let us take,
a = 10
m = 2
n = 5
Now,
10² × 10⁵ = 10²+⁵
100 × 100000 = 10⁷
10000000 = 10000000
Another example,
Let us take,
a = 2
m = 0
n = 3
Now,
2⁰ × 2³ = 2⁰+³
1 × 8 = 2³
8 = 8
Answer:
321.68feet
Step-by-step explanation:
Given the following
Top of the house above the sea level = 150feet = opposite
Angle of elevation = 25°
Required
Distance from the boat to the base of the house(adjacent)
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 25 = 150/d
d = 150/tan25
d = 150/0.4663
d = 321.68
Hence the required distance is 321.68feet
