What is the image of the point (–3, 4) after a rotation of 90° counterclockwise about the point (–3, 0)?
2 answers:
Answer:
The correct option is A.
Step-by-step explanation:
If a point rotated 90° counterclockwise about the point (a, b), then
If a point rotated 90° counterclockwise about the point (–3, 0), then
The coordinates of given point are (-3,4). So, the image of the point (–3, 4) after a rotation of 90° counterclockwise about the point (–3, 0) is
The image of given point is (-3,4). Therefore the correct option is A.
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A. If you use only the coupon you will have to pay $137.50.
B. Using the Coupon during the sale, the kit is discounted by $112.50
C. The total percent discount is 45% after both discounts.
Step-by-step explanation:
Step 1; The store has the robotics kit for a sale of 25% off $250. So we need to find how much 25% is in terms of $250. To do that we convert 25% into a fraction by dividing it by 100 and multiplying it with $250.
25% of $250 = × $250 = 0.25 × $250 = $62.50
So we find the cost of the kit due to the store's discount. To do that we subtract the discounted price from the original price.
Robotics kit price after 25% discount = $250 - $62.50 = $187.50.
Step 2; A coupon you have gives you an additional 20% discount. So the robotics kit can be brought for 25% off due to the sale at the store, due to this coupon you get an additional 20%. So you get a 45% discount off $250.
45% of $250 = × $250 = 0.45 × $250 = $112.50.
So to find the total discount we subtract this $112.50 from the non-discounted cost of $250.
Total discounted price = $250 - $112.50 = $137.50.