Make A the subject of the formula

Graph the system of equations on graph paper.

ololo11 [35]

6x + 4y = 24
2x - 4y = -8

We will use the addition method in solving this system of equation.

6x + 4y = 24
+ (2x - 4y = -8)
8x + 0 = 16

8x = 16
x = 16/8
x = 2

Let us substitute x by its value to get the value of y.

6x + 4y = 24
→ 6(2) + 4y = 24
12 + 4y = 24
4y = 24 - 12
4y = 12
y = 12/4
y = 3

2x - 4y = - 8
→ 2(2) - 4y = - 8
4 - 4y = - 8
-4y = - 8 - 4
-4y = -12
y = -12/-4
y = 3

So x = 2 and y = 3. → (2,3)

The true statement among the choices are:

A) The ordered pair that is the solution to the system lies in Quadrant I .
B) The y-coordinate of the solution is 3.
D) The x-coordinate of the solution is 2.

8 0

4 years ago

1. Draw the graph of f(x) = cos x for 0 I know how to construct the graph but I don’t know how to get the figures. Please help

KengaRu [80]

Answer:

Please refer to the attached figure.

Step-by-step explanation:

Given the function:

$f(x) =cosx \ where\ \{0^\circ\leq x\leq 360^\circ\}$

OR, the given function can also be written as:

$y = f(x) = cosx$

We know that graph of cosine is a wave.

and the range of cosine function is [-1, 1]

First of all, let us have a table of values at major values of x.

$x = 0, f(x) = 1\\x = 90, f(x) = 0\\x = 180, f(x) = -1\\x = 270, f(x) = 0\\x = 360, f(x) = 1$

So, the table of values for f(x) is:

$\begin{center}\begin{tabular}{ c c }x & cosx \\0 & 1 \\90 & 0\\180 & -1\\270 & 0\\360 & 1\\\end{tabular}\end{center}$

Let us mark these points on the xy coordinate axis where x axis represents value of x and y axis represents value of $f(x) = cosx$ and then join the points using a wave.

Please refer to the attached graph for the answer image.

8 0

3 years ago

The circumference of a circle is 30t. What is its area?

labwork [276]

Answer:

$A=\frac{225t^2}{\pi}$ given the circumference is 30t.

Step-by-step explanation:

The circumference of a circle is $C=2\pi r$ and the area of a circle is $A=\pi r^2$ assuming the radius is $r$ for the circle in question.

We are given the circumference of our circle is $2 \pi r=30t$ .

If we solve this for r we get: $r=\frac{30t}{2\pi}$ . To get this I just divided both sides by $2\pi$ since this was the thing being multiplied to $r$ .