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3 years ago

|2x+1|>5 what is the answersolve for real numbers x.

Mathematics

1 answer:

umka2103 [35]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | > a always have solutions of the form

x < - a or x > a, thus

2x + 1 < - 5 OR 2x + 1 > 5 ( subtract 1 from both sides of both inequalities

2x < - 6 OR 2x > 4 ( divide both sides of both inequalities by 2 )

x < - 3 OR x > 2

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Answer the following:

jonny [76]

Answer:

As the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

Step-by-step explanation:

Given the equations

$-3x+y=-4$

$x+3y=6$

The slope-intercept form of the equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

Writing both equations in the slope-intercept form

$-3x+y=-4$

$y=3x-4$

So by comparing with the slope-intercept form we can observe that

slope of equation = 3

i.e.

$m_1=3$

also

$x + 3y = 6$

$3y\:=\:6-x$

$y=-\frac{1}{3}x+2$

So by comparing with the slope-intercept form we can observe that

the slope of equation = -1/3

i.e.

$m_2=-\frac{1}{3}$

The slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

The slope $m_2$ is the negative reciprocal of the slope $\:m_1$

Also, the product of two perpendicular lines is -1.

i.e.

$m_1\times m_2=-1$

VERIFICATION:

It is clear that the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

6 0

3 years ago

I need help with all these asap!!

Effectus [21]

Answer:

corresponding
alternate interior
corresponding
alternate exterior
alternate interior
alternate exterior
alternate exterior
corresponding
alternate interior
alternate interior
corresponding
corresponding

Step-by-step explanation:

hope this will help you

8 0

2 years ago

Read 2 more answers

What is the equation<br>

slava [35]

Answer:

B. $(x+1)^2+(y-2)^2=9$

Step-by-step explanation:

The given circle is centered at $(-1,2)$ and has radius 3 units.

The equation is given by

$(x-a)^2+(y-b)^2=r^2$

where (a,b) is the center and r is the radius.

We substitute the values to obtain;

$(x--1)^2+(y-2)^2=3^2$

$(x+1)^2+(y-2)^2=9$

8 0

3 years ago

Read 2 more answers

A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choo

andre [41]

The time it takes between when the rock was dropped and when it landed is 1.33 seconds.

<h3>What is the time it takes for the rock to land?</h3>

The time it takes the rock to land on the ground from where it is dropped can be determined by using the function given.

The height of the function when it hits the ground will be zero, so the function can be written as:

$\mathbf{h(t) =36t^2 -64}$

$\mathbf{0 =36t^2 -64}$

64 = 36t²

$\mathbf{t^2 = \dfrac{64}{36}}$

t² =1.778

$t = \sqrt{1.778}$

t = 1.333 seconds

Learn more about calculating the time of a function here:

brainly.com/question/26898697

#SPJ1

6 0

2 years ago

What is equivalent to -1/3t=4/3

stepan [7]

<u>Answer:</u>

The equivalent of -1/3t = 4/3 is t = -4

<u>Solution:</u>

Need to determine such value of t so that when it is multiplied by -1/3, we should get 4/3

That is we need to solve following expression for value of t.

$-\frac{1}{3} t=\frac{4}{3}$

On multiplying both the sides by 3 we get

$\begin{array}{l}{-\frac{1}{3} t \times 3=\frac{4}{3} \times 3} \\\\ {=>-t=4}\end{array}$

Now multiplying both the sides by -1 we get

$\begin{array}{l}{-t \times-1=4 \times-1} \\ {=>t=-4}\end{array}$

Let’s recheck the value of t

$-\frac{1}{3} t=-\frac{1}{3} \times-4=\frac{4}{3}$

Hence for t = -4, expression -1/3 t is equal to 4/3.

6 0

3 years ago

|2x+1|>5 what is the answer​solve for real numbers x.

|2x+1|>5 what is the answersolve for real numbers x.