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3 years ago

Select all expressions equivalent to 6x + 12 – 4x – 3 + 3x.

Mathematics

1 answer:

KengaRu [80]3 years ago

6 0

Answer:

First task: 2., 5.

Second task: 1., 2.

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Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0

3 years ago

2. help me i will give u brainliest

Likurg_2 [28]

Answer:

the 1st one

Step-by-step explanation:

I passes it in the quiz

3 0

3 years ago

What equation is graphed in this equation?

jenyasd209 [6]

Y-2=-3/2(x-2)
first of all, the slope of the line is -3/2, and there's only one equation that has that as a choice for the slope. Then you can take the x and y coordinates given in that equation you want to check and see if the line goes through that point. from the equation, (point-slope form y-y=m(x-x)) I know that the line should pass through point (2, -2), and looking at the graph, that is correct.

7 0

3 years ago

A line that is perpendicular to y=-2/7x+9y and that passes through the point (4, -6)

IrinaK [193]

--------------------------------------------------
Find Slope :
--------------------------------------------------
y = -2/7x + 9
Slope = -2/7
Perpendicular slope= 7/2

--------------------------------------------------
Find y - intercept :
--------------------------------------------------
y = mx + b
y = 7/2 x + b
At (4, -6)
-6 = 7/2 (4) + b
-6 = 14 + b
b = -6 - 14
b = -20

--------------------------------------------------
Form equation :
--------------------------------------------------
y = mx + b
y = 7/2 x - 20
2y = 7x - 40

--------------------------------------------------
Answer: 2y = 7x - 40
--------------------------------------------------

8 0

3 years ago

(30 POINTS AND BRAINLIEST) Show all work to solve 3x^2 + 5x − 2 = 0.

Dahasolnce [82]

Answer:

The answer to your question is: (x + 2)(3x - 1) = 0

x1 = -2

x2 = 1/3

Step-by-step explanation:

3x² + 5x − 2 = 0

Multiply 3 x -2 = -6

Find two numbers that added = +5 and multiply -6

These numbers are +6 and -1

Then:

3x² + 6x -1x − 2 = 0

Factorize 3x (x + 2) - 1(x + 2) = 0

Factorize again (x + 2)(3x - 1) = 0

Finally

x + 2 = 0 3x - 1 = 0

x = -2 x = 1/3

5 0

3 years ago