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chubhunter [2.5K]
2 years ago
15

Find an ordered pair to represent t in the equation t = u + v if u = (-1, 4) and v = (3, -2)

Mathematics
1 answer:
KonstantinChe [14]2 years ago
3 0

Given:

u=(-1,4)

v=(3,-2)

The equation is:

t=u+v

To find:

The ordered pair to represent t in the given equation.

Solution:

We have,

t=u+v

Substituting the given values, we get

t=(-1,4)+(3,-2)

t=((-1)+3,4+(-2))

t=(-1+3,4-2)

t=(2,2)

Therefore, the ordered pair to represent t in the given equation is (2,2).

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Luke and Inga are riding the Prince Charming Carousel at Disney World. Luke is on a horse 17 feet from the center. Inga is on a
wlad13 [49]

Answer:

Luke's angular speed = 188.49 rad/sec

Inga's angular speed = 188.49 rad/sec

Step-by-step explanation:

Data provided in the question:

Distance between the center and Luke = 17 feet

Distance between the Inga and center = 25 feet

Frequency of rotation, f = 30 rpm

Now,

Angular speed, ω is given as = 2πf

thus,

ω = 2π × 30

or

ω = 188.49 rad/s

here the angular speed is independent of radius

Therefore,

Luke's angular speed = 188.49 rad/sec

Inga's angular speed = 188.49 rad/sec

7 0
3 years ago
Rectangle
eduard

Options A and D are correct. The pair of measurements that could be the dimensions of rectangle B is 6 cm by 1.5 cm and 18 cm by 4.5 cm.

For us to get a scale copy of the dimension, we need to first find the scale factor as shown;

Given the measure of rectangle A:

  • Length= 12cm
  • Width = 3cm

To get all of the measurement pairs that could be the dimensions of Rectangle  B, we need to multiply the length and width by the same factor

Multiplying by 1/2

New length = 12 × 0.5 = 6cm

New width = 3 × 0.5 = 1.5cm

Hence 6cm by 1.5cm can be dimension of B

Multiplying by 1.5

New length = 12 × 1.5 = 18cm

New width = 3 × 1.5 = 4.5cm

Hence 18cm by 4.5cm can be dimension of B

Learn more here: brainly.com/question/24759485

5 0
2 years ago
How do you solve -6(a+8)
algol [13]
Use the distributive property.

This states that: a(b+c)= ab+ac

So,

-6*a= -6a and -6*8= -48

-6a+-48

This is the most you can simplify this problem.

I hope this helps!
~kaikers
4 0
3 years ago
Read 2 more answers
I really need help please
Mkey [24]
So.. let's say ∡AGB and ∡BGC are say "a" units wide, and ∡CGD and ∡DGE are "b" units wide

notice the picture below

all angles added up together, will make up just a flat line, or 180°

now, notice in the picture, the ∡BGD is really just " a + b " wide, notice the green angle in the picture of ∡BGD, well, we know what a + b is

7 0
3 years ago
Will mark as brainlist!!!!pls include steps ​
Goryan [66]

Step-by-step explanation:

a) 1.16× 10^-6

standard form should be less than 10. therefore, count decimal places from where the decimal point is located to the right until you reach a number less than 10 ....count the number of shifts in the above is 6 shifts to the right. when moving to the right, power will be negative.(-6)

1.157/1.16 ×10^-6

b) 6.79 × 10^10

67890000000....count till a number less than 10.there will be 10 shifts to the left. the 10 will be your power,(positive) since u r moving to the left exponent is positive

6.789/6.79 × 10^10

6 0
3 years ago
Read 2 more answers
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