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2 years ago

Drag and drop the answers into the boxes to correctly complete the statement.

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

6 0

Did you ever find the answers?

kaheart [24]2 years ago

5 0

1. First transformation is rotation rotation of 180 about the origin. This transformation has a rule:

(x,y)→(-x,-y).

If points E(-2,-4), F(-1,-1), D(-2,-1) are vertices of triangle EFD, then

E(-2,-4)→E''(2,4),
F(-1,-1)→F''(1,1),
D(-2,-1)→D''(2,1).

2. Second transformation is translation 1 unit left with a rule

(x,y)→(x-1,y).

Then

E''(2,4)→E'(1,4),
F''(1,1)→F'(0,1),
D''(2,1)→D'(1,1).

Answer: 1st: rotation of 180 about the origin; 2nd: translation 1 unit left.

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At track practice, Coach Wilson told the team to split into groups of four for a special relay. The first runner had to run 1 la

amid [387]

You can multiply the number of laps each person ran by the yards in each lap and then add them together:

440 + 2(440) + 3(440) + 4(440)
= 440 + 880 + 1,320 + 1,760
= 4,440 yards

Or you can add the laps first, then multiply by the yards in each lap
(1 + 2 + 3 + 4)(440)
= 10 x 440
= 4,400 yards

7 0

2 years ago

Point S is on line segment R T ‾ RT . Given R S = 4 x − 10 , RS=4x−10, S T = 2 x − 10 , ST=2x−10, and R T = 4 x − 4 , RT=4x−4, d

mylen [45]

Question not well presented

Point S is on line segment RT . Given RS = 4x − 10, ST=2x−10, and RT=4x−4, determine the numerical length of RS

Answer:

The numerical length of RS is 22

Step-by-step explanation:

Given that

RS = 4x − 10

ST=2x−10

RT=4x−4

From the question above:

Point S lies on |RT|

So, RT = RS + ST

Substitute values for each in the above equation to solve for x

4x - 4 = 4x - 10 + 2x - 10 --- collect like terms

4x - 4 = 4x + 2x - 10 - 10

4x - 4 = 6x - 20--- collect like terms

6x - 4x = 20 - 4

2x = 16 --- divide through by 2

2x/2 = 16/2

x = 8

Since, RS = 4x − 10

RS = 4*8 - 10

RS = 32 - 10

RS = 22

Hence, the numerical length of RS is calculated as 22

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2 years ago

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 27 feet. There will be a fence around the g

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Step-by-step explanation:

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2 years ago

Read 2 more answers

9mph in still water it takes 5hrs longer to travel 74 miles upstream than downstream find the rate of current and round to neare

prohojiy [21]

Answer:

The rate of current is 2.5 mph.

Step-by-step explanation:

The speed in the water when current is absent is 9 mph.

If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.

Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as

$\frac{74}{9 - v} - \frac{74}{9 + v} = 5$

⇒ $\frac{2v}{81 - v^{2} } = \frac{5}{74}$

⇒ 148v = 405 - 5v²

⇒ 5v² + 148v - 405 = 0

Applying Sridhar Acharya's formula we can write

$v = \frac{-148 + \sqrt{148^{2} - 4(5)(-405) } }{2(5)}$ (Neglecting the negative root)

⇒ $v = \frac{- 148 + 173.2166}{10} = 2.5$ mph (Rounded to the nearest 10th) (Answer)

7 0

2 years ago

Tom and his best friend are going to join a gym. Tom saw that Platinum gym has a sale with a one time fee of $90 and a monthly f

worty [1.4K]

Answer:

Part 1:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

Part 2: $270

Part 3: $320

Part 4: 11 months

Part 5: See explanation below

Step-by-step explanation:

Part 1:

Let "x" be the number of months:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

Part 2:

We put x = 6 in platinum gym's equation and get our answer.

90 + 30x

90 + 30(6)

90 + 180

=$270

Part 3:

We put x = 6 into super fit's equation and get our answer.

200 + 20x

200 + 20(6)

200 + 120

=$320

Part 4:

To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:

90 + 30x = 200 + 20x

10x = 110

x = 11

So 11 months

Part 5:

We know for 11 months, they will cost same. Let's check for 10 months and 12 months.

In 10 months:

Platinum = 90 + 30(10) = 390

Super Fit = 200 + 20(10) = 400

In 12 months:

Platinum = 90 + 30(12) = 450

Super Fit = 200 + 20(12) = 440

Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.

4 0

2 years ago