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Darya [45]
1 year ago
14

Using the transformation T: (x, y) (x + 2, y + 1), find the distance named.

Mathematics
2 answers:
konstantin123 [22]1 year ago
8 0

Answer:

The distance CC' is \sqrt5units

Step-by-step explanation:

Given the transformation T:  (x, y) (x + 2, y + 1)

we have to find the distance CC'

Let coordinate of C are (a,b).

Now, by using transformation T the coordinates of C' are (a+2,a+1)

By using distance formula,

CC'=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\= \sqrt{(a+2-a)^2+(b+1-b)^2}\\\\=\sqrt{4+1}=\sqrt5 units

Hence, the distance CC' is \sqrt5units

stellarik [79]1 year ago
3 0
I hope this helps you

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A surveyor measures the length of a surveying chain containing 1000 chain links. The length is 0.0533km. What is the length of a
Leya [2.2K]

Answer:

length of a single chain link = 5.33 cm

Step-by-step explanation:

Given data: chain contained 1000 chain links

total length was 0.0533km

<em>1km = 1000m </em>

<em> 1m = 100cm therefore 1km = 100000cm</em>

<em />

total length in cm = 0.0533* 100000

total length in cm = 5330 cm

length of a single chain link = 5330/1000

length of a single chain link = 5.33 cm

7 0
2 years ago
Tyler poured a total of 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in each bottle?
Nitella [24]

Step-by-step explanation:

So 2 bottles and 15 cups

15 ÷ 2 = 7.5

He poured 7.5 cups of water in each bottle

4 0
2 years ago
A father lifts a toddler 1.5 m up in the air. The child gains 187.5 J of energy in her gravitational potential energy store as a
bearhunter [10]

The mass of the toddler is 12.5 kg.

Step-by-step explanation:

The equation for gravitational potential energy is Ep=mgh where;

Ep=gravitational potential energy

m=mass of an object

g=gravitational field strength

h=height in meters

Given that ; h= 1.5m, Ep=187.5J , g=10 N/kg then finding m;

Ep=mgh

187.5=m*10*1.5

187.5=15m

187.5/15 =15m/15

12.5 kg=m

Learn More

  • Gravitation potential energy : brainly.com/question/939365

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5 0
1 year ago
Jenny is taking a vacation to Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. O
Helga [31]
Jenny traveled 70 km/h over 2 hours and 63 km/h over 5 hours. Her travel time was a total of 7 hours. 

We need to find out how far she traveled during this 7-hour period.

70 km/h * 2 h = 140 km 
63 km/h * 5 h = 315 km

Then, we can add 140 km and 315 km to get a total distance traveled of <em>455 km/h.</em>

We were asked to find the average <em>speed.</em> We can find it now, since we have total distance traveled (455 km) and total time taken (7 hours).

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455km / 7h = 65 km/h.
6 0
2 years ago
1. Mac is about to sue his contractor who promised to install a water tank that holds 1880 gallons of water. Mac knows that 1880
zzz [600]

Answer:

option C.

Yes, the water tank is about 245 cubic feet too small

Step-by-step explanation:

step 1

Determine the volume of the cylindrical tank

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

Remember that

1\ ft=12\ in

we have

r=6\ ft\\h=2\ ft\ 2\ in=2+(2/12)=\frac{13}{6}\ ft

assume

\pi =3.14

substitute

V=(3.14)(6)^{2}(\frac{13}{6})

V=244.92\ ft^3

Compare with 251 cubic feet

244.92\ ft^3 < 251\ ft^3

therefore

Yes, the water tank is about 245 cubic feet too small

8 0
2 years ago
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