Graph the Line y=4x−3
1 answer:
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Answer:
Option The area is increased by a factor of
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to scale factor squared
Let
z-----> the scale factor
x------> the area of the dilated rectangle
y------> the area of the original rectangle
we have
------> is an enlargement
so
substitute
therefore
The area is increased by a factor of
The interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.
<h3>What is convergent of a series?</h3>A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We can find the interval for the convergent by root test.
Like the Ratio Test, the root Test is used to determine absolute convergence (or not) with factorials, the ratio test is useful.
For the given series:
As the series goes infinitely, we can use root test.
By the root test, the convergence interval will be;
The interval of convergence is:
x < -3 or x > 3 we can write this as:
|x| < 3
Thus, the interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.
Learn more about the convergent of a series here:
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Answer:
x = 17
Step-by-step explanation:
The sum of all angle measures in any triangle is 180 degrees.
- Thus, 23 + 5x - 18 + 90 = 180.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 95 from both sides.
Step 3: Divide both sides by 5.
Step 4: Check if solution is correct.
Thus, x = 17.