All categories

3 years ago

The expression (4c − 3d)(3c + d) is equivalent to:

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

(4c - 3d)(3c + d) =

= 12c² + 4cd - 9cd - 3d² =

= <u>12c² - 5cd - 3d²</u>

You might be interested in

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

My name is Ann [436]

$x = 2 \\ y = 7$

is the answer to:

$y = 11 - 2x \\ 4x - 3y = - 13$

_________________________________________

$x = 5 \\ y = 2$

is the answer to:

$2x + y = 12 \\ x = 9 - 2y$

_________________________________________

$x = 3 \\ y = 5$

is the answer to:

$2x + y = 11 \\ x - 2y = - 7$

_________________________________________

$x = 7 \\ y = 3$

is the answer to:

$x + 3y = 16 \\ 2x - y = 11$

3 0

3 years ago

The upper-left coordinates on a rectangle are (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis, and the upper

nikklg [1K]

Answer:

See attachment for rectangle

Step-by-step explanation:

Given

$A = (-6,0)$

$B = (-4,0)$

$Area = 12$

Required

Draw the rectangle

First, we calculate the distance between A and B using distance formula;

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

So, we have:

$AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}$

$AB = \sqrt{(-2)^2 + (0)^2}$

$AB = \sqrt{4 + 0}$

$AB = \sqrt{4}$

$AB = 2$

The above represents the length of the triangle.

Next, calculate the width using:

$Length * Width = Area$

$2* Width = 12$

Divide both sides by 2

$Width = 6$

This implies that, the width of the rectangle is 6 units.

We have:

$A = (-6,0)$

$B = (-4,0)$

Since A and B are at the upper left and right, then the ther two points are below.

6 units below each of the above point are:

$C = (-6,0-6)\\$ => $C = (-6,-6)$

$D = (-4,0-6)$ => $D = (-4,-6)$

Hence, the points of the rectangle are:

$A = (-6,0)$

$B = (-4,0)$

$C = (-6,-6)$

$D = (-4,-6)$

<em>See attachment for rectangle</em>

6 0

3 years ago

How would you describe this slice that created the square

andreev551 [17]

For anyone else who needs the right answer...it’s “parallel to the base”. I just did it and I got it right.

8 0

3 years ago

The only solution of the equation x^2 + bx + 16 = 0 is x = 4. What is the value of b?

jeka94

Answer:

yes beacajdkdnjdhdhds

Step-by-step explanation:

8 0

3 years ago

Solve the system of equations using the addition method 2a+3b=-1 ; 3a+5b=-2

Alexeev081 [22]

Answer:

Then, a=-1 and b=-1

Step-by-step explanation:

We need to solve the following system of equations using the adition method:

2a+3b=-1 (i)

3a+5b=-2 (ii)

First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:

-6a-9b=3

6a+10b=-4

Adding the two equations we have:

-6a-9b=3

6a+10b=-4

--------------------------

0 + b = -1

Then b=-1. Now, let's substitute the value of b into equation (i):

2a+3b=-1

2a + 3(-1) = -1

2a -3 = -1

2a = 2

a = 1

Then, a=-1 and b=-1

3 0

4 years ago

Read 2 more answers