Answer:12
Step-by-step explanation:
Let the numbers be a and b
a-3b=5 ........equation (1)
There product is :
ab=68 ..........equation (2)
From equation (1)
a-3b=5
Make a the subject of the formula
a=5+3b. ........equation (3)
Substitute equation (3) into equation (2)
(5+3b)b=68
3(b^2)+3b-68=0
The product is -204b^2(17 and -12)
(b+17)(b-12)=0
b=-17 or b=12
So the number is 12
Answer:
They are all true
Step-by-step explanation:
1. 3² +4² = 5²
3x3 + 4x4 = 5x5
9 + 16 = 25
25 = 25
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2. 6² + 8² = 10²
36 + 64 = 100
100 = 100
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3. 9² + 12² = 15²
81 + 144 = 225
225 = 225
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4. 5² +12² =13²
25 + 144 = 169
169 =169
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<span>1 perpendicular bisector divides 1 side of the triangle into two equal lengths at a 90 degree angle. So if there's is three perpendicular bisectors, then it splits all three sides the triangles into equal lengths.
Angle bisectors splits an angle of a triangle into two even degrees.
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<span>EX: if it is an equilateral triangle, each angle will be sixty degrees. Therefore, ONE angle bisector will split ONE of the angles into even degrees of thirty degrees. </span>
If data for a time series analysis are collected on an annual basis only, then the option(b) seasonal pattern can be ignored
Time series analysis is a specific way of analyzing a sequence of data points collected over an interval of time
The seasonal pattern is refers to the seasonal characteristics of the time series data. It is the predictable pattern that repeats at a certain frequency within one year, such as weekly, monthly, quarterly, etc.
A horizontal pattern exists when the data fluctuate randomly around a constant mean over time.
A trend pattern exists when there is a long-term increase or decrease in the series.
The cyclical component of a time series refers to fluctuations around the trend, excluding the irregular component, revealing a succession of phases of expansion and contraction
Here, the data for a time series analysis are collected on an annual basis, so the seasonal pattern can be ignored
Learn more about Time series analysis here
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