Answer:
x∠-5
Step-by-step explanation:
x+17∠12
x∠12-17
x∠-5
The equation of the line that is parallel to the given line, through the given point is y = -5x - 7
Given equation,
y = -5x + 1
Slope = m
= -5
For two lines to be parallel, slope is equal.
Therefore, m = -5 for another line.
Let the equation of the line be y = mx + c
This line passes through A(-2,3)
Therefore, 3 = -5(-2) + c
3 = 10 + c
c = 3 - 10
= -7
Hence, equation of line is y = -5x - 7.
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Answer:
a(85) = -1033
Step-by-step explanation:
Explicit Arithmetic Sequence:
an = a1 + d(n-1)
d = -12 (by -37 + 25)
a(85) = -25 + -12(85-1)
a(85) = -1033
Answer:
4 4/5 miles
Step-by-step explanation:
We want to multiply 4/5 * 6
4/5 * 6/1
24/5
We need to change this back to a mixed number
5 goes into 24 4 times (4*5 = 20 with 4 left over)
4 4/5 miles
Answer:
The sampling method used is a stratified sampling method
Step-by-step explanation:
sampling is the selection of a predetermined representative subpopulation from a larger population, to estimate the characteristics of the whole population.
Stratified sampling: Here, the total population are divided into subcategories (strata) before sampling is done. The strata are formed based on some common characteristics. In our example, the times of the day (morning, afternoon and evening) has widely varying atmospheric conditions which will add biases to the measurement of air quality. For example, the air in the morning if compared to the afternoon in an industrial area may be purer because of minimal industrial activity, hence effective comparison will be made by stratification.
