Answer:
<h2>A. Switch the inequality sign</h2>
Step-by-step explanation:
When multiplying, you must switch the inequality sign. This is also true when dividing.
EXAMPLE 1:
-4r < -21
Note: We reversed the inequality sign when we divided by -4
r > 5 1/4
EXAMPLE 2:
x/-5 <u>></u> 7
Note: We reversed the inequality sign when we multiplied by -5
x <u><</u> -35
I'm always happy to help :)
Answer:
Step-by-step explanation:
First off, I'm assuming that when you said "directrices" you mean the oblique asymptotes, since hyperbolas do not have directrices they have oblique asymptotes.
If we plot the asymptotes and the foci, we see that where the asymptotes cross is at the origin. This means that the center of the hyperbola is (0, 0), which is important to know.
After we plot the foci, we see that they are one the y-axis, which is a vertical axis, which means that the hyperbola opens up and down instead of sideways. Knowing those 2 characteristics, we can determine that the equation we are trying to fill in has the standard form
We know h and k from the center, now we need to find a and b. Those values can be found from the asymptotes. The asymptotes have the standard form
y = ±
Filling in our asymptotes as they were given to us:
y = ±
where a is 2 and b is 1. Now we can write the formula for the hyperbola!:
which of course simplifies to
Answer:
129
Step-by-step explanation:
278 - 149 = 129
Aretha is correct. Since a rhombus a is a quadrilateral with 4 equal sides in terms of length, (forming 4 right angles in each corner), it can be concluded that all squares are rhombuses. However, only some and not all rhombuses are squares because some rhombuses may have equal lengths but all corners don't form right angles.
Answer:
The Payback Period from non discounted cash flows is 2 Years and 8 months
Step-by-step explanation:
With an initial outlay of $1,000,000
and Cash inflows for 4 years consecutively of $500,000 + $300,000 + $300,000 + $300,000
Pay back Period = the Period where Initial Outlay minus Cash Inflows equal Zero
= 1,000,000 - 500,000 (yr 1) - 300,000 (yr 2) - 200,000 (2/3 of Year 3) = 0
Pay back Period therefore is equal to 2 years & 8 months.
