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2 years ago

(Coordinate Plane) Point A coordinates are (1,3). If reflected across the x-axis, what is the new point's coordinates?

Mathematics

1 answer:

sp2606 [1]2 years ago

3 0

Answer:

(1,-3)

Step-by-step explanation:

The reason why it would be (1,-3) is because (1,3) is in the first quadrant which is (+,+) and when it is reflected across the x axis, it is then placed into the fourth quadrant which is (+,-). So you need to make the 3 negative and then it will be reflecting across the x axis

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Lim t^4 - 6 / 2t^2 - 3t + 7

Harman [31]

I think you meant to say

$\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}$

(as opposed to x approaching 2)

Since both the numerator and denominator are continuous at t = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

$\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}$

Because these expressions are continuous at t = 2, we can compute the limits by evaluating the limands directly at 2:

$\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}$

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2 years ago

there are 6 brown, 5 blue, and 2 orange marbles in a hat what is the probability of picking 2 orange marbles in a row without re

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2 years ago

Peter inherits 15.000 dollars and place money with a bank. The interest rate are 3 percent. How many money will he get after 1ye

NeTakaya

The simplest form of an interest equation is A = P(1+rt)

where A = the total amount of money at the end, P = the principal (or amount of money you started with), r = the rate in percent, and t = the time in years.

In this case, P = 15000, r = 0.03 (because 3% in decimal form is 0.03), and t = 1:

$A=P(1+rt)\\A=15000(1+0.03*1)\\A=15000(1+0.03)\\A=15000(1.03)\\A=15450$

So, after 1 year he will get $15450 back, making him $450 more.

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2 years ago