Answer:
DE = 4.24
Step-by-step explanation:
The diagram is not shown; However, the question can still be solved without the diagram.
Having said that,.
Given that
DF = EF = 3
This implies that DE is the hypothenus and will be solved using Pythagoras theorem.
DE² = EF² + DF²
Substitute 3 for EF and DF
DE² = 3² + 3²
DE² = 9 + 9
DE² = 18
Take Square Root of both sides
DE = √18
DE = 4.242640687119285
DE = 4.24 (Approximated)
Answer:
2 minutes ago Suppose a long term investment is modeled by the exponential fuction V(t)= 30(25) ^t/20 where V(t) is the total value after t year 5 minutes ago
Step-by-step explanation:
1. Find the greatest common factor (GCF)
What is the largest number that divides evenly into 4x^2, -16x^4, and 10x^5?
It is 2.
What is the highest degree of x that divides evenly into 4x^2, -16x^4, and 10x^5?
It is x^2.
Multiply the results above, the GCF = 2x^2
2. Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2x^2(4x^2/2x^2 + -16x^4/2x^2 + 10x^5/2x^2)
3. Simplify each term in parentheses
2x(2-8x^2+5x^3)
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Answer: (5,-6)
Step-by-step explanation:The point (7,-6) means x = 7 and y = -6 pair up. Recall that y = f(x). So if y = -6, then f(x) = -6 as well when x = 7. So f(7) = -6
Compare f(7) with f(x+2). We see that x+2 = 7 must be true. Isolate x by subtracting 2 from both sides
x+2 = 7
x+2-2 = 7-2
x = 5
The new x coordinate is x = 5. The y coordinate stays the same.
If we were to plug x = 5 into f(x+2), we would get
f(x+2) = f(5+2) = f(7) = -6
The input x = 5 leads to the output f(x+2) = -6
Visually, the point (7,-6) has been shifted 2 units to the left to land on (5,-6)
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