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2 years ago

The points (2,4), (3,9), (7,8), and (6,3) form a quadrilateral. Graph the quadrilateral,

Mathematics

2 answers:

inysia [295]2 years ago

8 0

Answer:

I believe it's a parallelogram.

Step-by-step explanation:

So a parallelogram has opposite sides congruent which when plotting the points opposite sides are the same length which makes it a parallelogram. In addition the opposite sides are parallel also which also justifies how the shape is a parallelogram.

Softa [21]2 years ago

7 0

The quadrilateral is a parallelogram because it has two pairs of parallel sides and the opposite sides are equal.

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Consider the following system of equations:

Delicious77 [7]

Answer:

The system has infinitely solutions

Step-by-step explanation:

we have

$-\frac{1}{3}x^{2}=-\frac{5}{6}+\frac{1}{3}y^{2}$

$\frac{1}{3}x^{2}+\frac{1}{3}y^{2}=\frac{5}{6}$

Multiply by 3 both sides

$x^{2}+y^{2}=\frac{5}{2}$ ----> equation A

The equation A is a circle centered at origin with radius $r=\sqrt{5/2}\ units$

and

$5y^{2} =\frac{25}{2}-5x^{2}$

$5x^{2}+5y^{2} =\frac{25}{2}$

Divide by 5 both sides

$x^{2}+y^{2} =\frac{5}{2}$ ----> equation B

The equation B is a circle centered at origin with radius $r=\sqrt{5/2}\ units$

Equation A and Equation B are the same

Therefore

The system has infinitely solutions

7 0

2 years ago

Read 2 more answers

Factor completely: 2x^3 – 32x

anastassius [24]

$2x^3-32x= \\
2x(x^2-16)= \\
2x(x^2-4^2)= \\
\boxed{2x(x+4)(x-4)} \Leftarrow
\hbox{answer B}$

7 0

3 years ago

Select the correct answer.

san4es73 [151]

Answer:

Step-by-step explanation:

Is the answer

6 0

2 years ago

Selena and Ronald are planning to get married at the university where they met and graduated. The university charges $2,000 to s

jok3333 [9.3K]

Here, we have to find the number of guests who can attend their weeding without exceeding the set budget of $10,000

Since the catering fee of $150 is waived, we do not consider this figure in our analysis

There is a constant which is the venue costs of $2,000 and a variable cost of $80 per guest for the reception.

Let us assume "X" guests arrive for the reception, so we can form the equation as shown below:

80X + 2,000 = 10,000 (Since the total budget for the wedding is $10,000)

80X = 8000

8X = 800

X =100

Therefore, Selena and Ronald can invite 100 guests for the wedding without going over their budget

3 0

2 years ago

HELPPPP!!! Simplify -4(x+1)+6x write your answer in factored form

vodomira [7]

Answer:

2x - 4

Step-by-step explanation:

Q) Simplify: -4(x+1) + 6x

→ -4(x+1) + 6x

→ -4x-4 + 6x

→ 2x - 4

8 0

3 years ago