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anyanavicka [17]
4 years ago
7

The vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0). ABCD is reflected over the x-axis to create parallelogr

am QRST. What are the coordinates of QRST?
A
Q(−2,1),R(−3,4),S(−5,3),T(−4,0)

B
Q(−2,−1),R(−3,−4),S(−5,−3),T(−4,0)

C
Q(1,2),R(4,3),S(3,5),T(0,4)

D
Q(2,−1),R(3,−4),S(5,−3),T(4,0)
Mathematics
1 answer:
Anna35 [415]4 years ago
3 0

Answer:

The correct answer is:

D)   Q(2,1)  R(3,-4) S(5,-3) T(4,0)

Step-by-step explanation:

When you reflect over the x-axis the vertices of the parallelogram, the y -coordinates is multiplying by -1.

Then the new coordinates of the parallelogram are:

Q(2,-1)  R(3,-4) S(5,-3) T(-4,0)

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3 years ago
38 is what percent of 84 (to the nearest percent)?
labwork [276]

Answer:

45.24

Step-by-step explanation:

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Read 2 more answers
Tyrone claims that the first step to simplify this expression
ser-zykov [4K]

Answer:

1/(m^4*n^2

Step-by-step explanation:

The given expression is

(m^2*n^-3)/(m^6*n^-1)

Tyrone's approach.

Raising the expression to the 3rd power will not help. It will make the expression more complicated.

Alisha's approach.

(m^2*n^-2)/(m^6*n^-1)

= m^(2-6)*n^(-3+1)

= m^-4*n^-2

= 1/(m^4*n^2)

Alisha's approach will simplify the expression to 1/(m^4*n^2

4 0
3 years ago
The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
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