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Diano4ka-milaya [45]
3 years ago
15

Which statement is true? Select one: a. 1.2 < -6.9 b. 6.9 < 1.2 c. -6.9 < -1.2 d. -1.2 > 6.9

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0
The correct answer is:  [C]:  " <span>-6.9 < -1.2 " .
________________________________________________________</span>
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Do I have to solve this before graphing it and if so how do I go about it?
defon

Given the System of Equations:

\begin{cases}y=4x-1 \\  \\ y=x-4\end{cases}

The exercise asks for solving it graphically. Then, in this case, you need to graph both lines in order to determine the solution of the system.

In order to graph it, you can find the x-intercepts and the y-intercepts:

1. It is important to remember the Slope-Intercept Form of the equation of a line:

y=mx+b

Where "m" is the slope of the line and "b" is the intercept.

In this case, you can identify that the y-intercept of the first line is:

b_1=-1

And the y-intercept of the second line is:

b=-4

2. By definition, the value of "y" is zero when the line intersects the x-axis.

Then, you need to substitute the following value of "y" into each equation and then solve for "x", in order to find the x-intercept of each line:

y=0

- For the first line, you get:

\begin{gathered} y=4x-1 \\ 0=4x-1 \\ 1=4x \\  \\ \frac{1}{4}=x \\  \\ x_1=0.25 \end{gathered}

- For the second line, you get:

\begin{gathered} y=x-4 \\ 0=x-4 \\ 4=x \\ x_2=4 \end{gathered}

3. Now you know that the first line passes through these two points:

(0.25,0);(0,-1)

And the second line passes through these two points:

(4,0);(0,-4)

4. Knowing those points, you can graph the lines:

Notice that the line intersect each other at

5 0
1 year ago
Which of the following represents the equation of the line passing through (-4,5)
Sergio [31]

Answer:

Answer: y=2x+13.

Step-by-step explanation:

Your input: find the equation of the line perpendicular to the line y=5/2−x/2 passing through the point (−4,5).

The equation of the line in the slope-intercept form is y=5/2−x/2.

The slope of the perpendicular line is negative inverse: m=2.

So, the equation of the perpendicular line is y=2x+a.

To find a, we use the fact that the line should pass through the given point: 5=(2)⋅(−4)+a.

Thus, a=13.

Therefore, the equation of the line is y=2x+13.

Answer: y=2x+13.

5 0
3 years ago
A square table has a perimeter of 20 feet. What is its area?
RSB [31]

Answer:

25 feet squared :)

Step-by-step explanation:

20/4 = 5

5^2 = 25

5 0
2 years ago
Which situation can be represented by the inequality?
alexgriva [62]
<span>4 mins ago - Which situation can be represented by the inequality? x<3 The movie is longer than 3 h. The ceiling is lower than 3 m. The backpack is heavier than 3 kg. The child is 3 years old. teamlargemouthox7s6p · Answer · Mathematics; 5 points; 42 seconds ago. Is table F a Portional relationship or is table G?</span><span>

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8 0
2 years ago
Read 2 more answers
I need help finishing a question. I used the explanation function on the program, but it didn't specify what to do to get the fi
leva [86]

I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337

Add this to 1 and we have 40.75093337

Then divide over 2pi to get a final approximate result of 6.48571248

So x = 6.48571248 is one approximate solution

In short, I computed \frac{1+\sqrt{1+160\pi^2}}{2\pi} only focusing on the plus for now.

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

If you were to compute \frac{1-\sqrt{1+160\pi^2}}{2\pi} you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.

6 0
3 years ago
Read 2 more answers
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