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Art [367]
3 years ago
9

John says the transformation rule (x, y) es002-1.jpg (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to

the image (0, –2). What was his error?
Mathematics
2 answers:
PtichkaEL [24]3 years ago
3 0
John didn't check his work.

The appropriate transformation rule is (x -4, y-7).

_____
John's signs were in error.
MAVERICK [17]3 years ago
3 0

<u>Sample Response:</u> The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.


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how many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antif
Fynjy0 [20]
Let x=gallons of 80% solution to be mixed
x+80=gallons go final 70% mixture
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80%*x+30%*80=70%*(x+80)
.8x+24=.7x+56
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x=320
gallons of 80% solution to be mixed=320
3 0
4 years ago
In triangle ABC, AC =24, the measure of angle A = 30 degree , and the measure of angle B = 45 degree . Find the area of this tri
andriy [413]

Answer:

142.932

Step-by-step explanation:

given that in triangle ABC, AC =24

Angle A = 30 and Angle B =45

If we draw altitude from C, we get

h = 24sin 30 = 12

Since BC = h (45, 45,90 triangle)

BC=12

By sine formula for triangle

\frac{12}{sin30} =\frac{AB}{sin(180-45-30)} \\AB = 24 sin 105 = 23.1822

Area of triangle

= 1/2 (23.1822)(12)\\= 142.932

6 0
3 years ago
The area of the rectangle is 6 square feet. If its width is 2 1/7<br> ​feet, find its length.
densk [106]

Answer:

L = 2 4/5 feet

Step-by-step explanation:

A = L x W

6 = L x 2 1/7

divide both sides by 2 1/7

6 divided by 2 1/7 = L (is the same as multiplying by the reciprocal)

6 x 7/15 = L

L = 14/5 or 2 4/5

5 0
3 years ago
A jet travels 500 miles in 5 hours. What is the ratios of miles to hours?
tia_tia [17]

Answer:

different answers in step-by-step

Step-by-step explanation:

100 mph

100mi:1hr

100mi/1hr

3 0
3 years ago
Colton earns $35 per lawn he mows. In kne day he mows four lawns and he works five days a week for 20 weeks a year. His expenses
yanalaym [24]

Answer:

1) Consider that he makes $1189 every two weeks engaged with work

2) An estimate of the opportunity cost of going on the fishing trip is $1450 in two weeks

3). If he decides to buy the truck, he has to work for about 7 weeks before going on the fishing trip

Step-by-step explanation:

From the given data

Total revenue from lawn mowing per year = 35 × 4× 5×20 = $1400

Similarly total operating costs = $2110

Total profit per annum = $11890

However total revenue per every 2 weeks = $1189

To buy the truck, sell his and go on the fishing trip it will cost = 5200-1500+250 =$3950 hence he has to work for about 6.64 or approximately 7 weeks before going on the fishing trip

2) Opportunity cost will factor in the cost of having someone work for him while away

The cost is = $250 + $120/day

Hence in two weeks it will cost him $1450

3) He has to work for about 7 weeks to be able to afford the truck

7 0
3 years ago
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