The coordinates of the final point after the two reflections is (-7, -4)
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How to reflect a point across an axis?</h3>
For a point (x, y), a reflection across the x-axis gives the point (x, -y), while for a point (x, y) a reflection across the y-axis gives (-x, y).
In this case, we have the point (7, 4), first we reflect across the x-axis, so we get the point (-7, 4).
Now we reflect across the y-axis, so the sign of the y-component changes, and we get (-7, -4)
So the coordinates of the final point after the two reflections is (-7, -4).
If you want to learn more about reflections, you can read:
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Answer:
hundredths
Step-by-step explanation:
The answer is B) <span>(q - 2)(2p - 5r)
</span>2pq - 5qr + 10r - 4p = 2pq - 4p - 5qr + 10r
= 2pq - 4p - (5qr - 10r)
= 2p(q - 2) - 5r(q - 2)
= (q - 2)(2p - 5r)
Answer: The interest is: $150.00
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $6000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 6....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year.
So, t is 0.5....year time periods.
To find the simple interest, we multiply 6000 × 0.05 × 0.5 to get that:
The interest is: $150.00
Answer:
what is P(A), the probability that the first student is a boy? 3/5
what is P(B), the probability that the second student is a girl? 3/4
what is P(A and B), the probability that the first student is a boy and the second student is a girl? 1/2
No, évents A and B are not independent events
Step-by-step explanation:
