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2 years ago

13

Combine the like terms to create an equivalent expression: 7n+4+(-2n)

2 answers:

Paul [167]2 years ago

6 0

Answer:

5n+4

Step-by-step explanation:

7n - 2n= 5n

TEA [102]2 years ago

3 0

Answer:

5n + 4

Step-by-step explanation:

7n + 4 + (-2n)

= 7n + 4 - 2n

= 5n + 4

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A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin

Georgia [21]

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points $X(x_1,y_1)\ and\ Y(x_2,y_2)$ is:

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

Hence:

$|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5$

3 0

2 years ago

How many hours was the trip?

Sidana [21]

Answer:

30 hrs here ya go !!!!!!!!!!!!!!!

7 0

2 years ago

Nick bought 5 tickets to go to the amusement park for $65. If he wanted to buy 8 tickets, what would that cost him?

d1i1m1o1n [39]

Answer:

$104

Step-by-step explanation:

First find how much 1 ticket costs

65/5= 13

Times that by 8

8x13=104

8 0

2 years ago

Calculate the value for each determinant:

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

$\begin{vmatrix}3 & -1\\ -3 & 4\end{vmatrix}=(3\times 4)-(-1)\times (-3)$

= 12 - 3

= 9

$\begin{vmatrix}8 & -1\\ -4 & -1\end{vmatrix}=8\times(-1)-(-1)\times(-4)$

= -8 - 4

= -12

$\begin{vmatrix}-12 & -1\\ 12 & 5\end{vmatrix}=(-12)\times(5)-(-1)\times(12)$

= -60 + 12

= -48

$\begin{vmatrix}2 & -1\\ 2 & -1\end{vmatrix}=2\times(-1)-(2)\times(-1)$

= -2 + 2

= 0

$\begin{vmatrix}0 & -1\\ 17 & 4\end{vmatrix}=0\times(4)-(-1)\times(17)$

= 17

$\begin{vmatrix}1 & 0\\ 0 & 1\end{vmatrix}=1\times(1)-(0)\times(0)$

= 1

6 0

2 years ago

Read 2 more answers

Use the Quadratic Formula to find the exact solutions of x2 + 7x - 4 = 0.

sladkih [1.3K]

Answer:

The solution of equation $x^2+7x-4=0$ is 0.53,-7.53.

Step-by-step explanation:

Given : Quadratic equation $x^2+7x-4=0$

To find : The solution of equation ?

Solution :

The solution of the quadratic equation $ax^2+bx+c=0$ is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here, a=1, b=7 and c=-4.

Substitute the values,

$x=\frac{-7\pm\sqrt{7^2-4(1)(-4)}}{2(1)}$

$x=\frac{-7\pm\sqrt{65}}{2}$

$x=\frac{-7+\sqrt{65}}{2},\frac{-7-\sqrt{65}}{2}$

$x=0.53,-7.53$

Therefore, the solution of equation $x^2+7x-4=0$ is 0.53,-7.53.

3 0

2 years ago