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Xelga [282]
3 years ago
10

Two vertices of a rhombus are located at the points (0, 3) and (3, 0). Which of the following could be the other two vertices of

this figure?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0
Since a rhombus is symmetrical, if you have two points already you should be able to get the other two by mirroring.

In this case, take (0,3) and mirror it horizontally (not to be confused with vertically mirroring; there is a huge difference.) To horizontally mirror this point, fold your paper along the x-axis. You should get (0,-3) as your new point.

~The reason we mirrored (0,3) horizontally is because this point is on the positive y-axis, and we want to see where it'll be on the negative y-axis. Horizontally mirroring just helps us do that.

For your next point, take (3,0) and vertically mirror. This time, fold along the y-axis. Your new point should be (-3,0).

let me know if you have any questions:)
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If I have 144 fluid oz of wax how many 1-cup molds can I fill
Mumz [18]
There are 8 fluid ounces on 1 cup so you could have 18 cup models that you can fill. 
        I hope this helped  :)
5 0
3 years ago
Solve the simultaneous equations<br> 3<br> 2x - y = 7<br> xy = 15
ehidna [41]

Answer:

(5, 3 ) and (- \frac{3}{2}, - 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

2x² - 7x - 15 = 0 ← in standard form

(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

x = - \frac{3}{2} : y = 2(- \frac{3}{2} ) - 7 = - 3 - 7 = - 10 ⇒ (- \frac{3}{2}, - 10 )

8 0
3 years ago
Is the following sentence true or False? Geologists are able to drill to the center of Earth
Andru [333]

Answer:

It is false the center of the Earth is way to hot for anyone to go down their if they do they will burn

Step-by-step explanation:

5 0
3 years ago
9. Mr. Paul pays the parking bill before tax at a cost of $33.20. The parking tax rate is 2%. Mr. Paul decides to leave a 5% tip
ale4655 [162]

Answer:

first one should be $35.52

Second one $18.60

Step-by-step explanation:

3 0
3 years ago
According to the National Telecommunication and Information Administration, 56.5% of U.S. households owned a computer in 2001. W
Liono4ka [1.6K]

Answer:

Step-by-step explanation:

Assuming a binomial distribution for the number of U.S. households that owned a computer in 2001. The formula for binomial distribution is expressed as

P(X = r) = nCr × q^(n - r) × p^r

Where

p = probability of success

q = probability of failure

n = number of sample

From the information given,

p = 56.5% = 56.5/190 = 0.565

q = 1 - p = 1 - 0.565 = 0.435

n = 3

We want to determine P(x greater than or equal to 1). This is also expressed as

1 - P(x lesser than or equal to 1)

P(x lesser than or equal to 1) = P(x = 0) + P(x =1)

P(x = 0) = 3C0 × 0.435^(3 - 0) × 0.565^0 = 0.082

P(x = 1) = 3C1 × 0.435^(3 - 1) × 0.565^1 = 0.32

P(x greater than or equal to 1) = 0.082 + 0.32 = 0.402

6 0
3 years ago
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