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3 years ago

Can someone please help . i don’t get what they mean by labeling it e

Mathematics

1 answer:

IrinaVladis [17]3 years ago

4 0

Answer:

The context suggests that they want you to label the intersect point of the two circles above c as e and compare the length between those two and the line between a and d

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-3|9x-7|=2 Find the answer for x

labwork [276]

<h2>Solving Equations with Absolute Expressions</h2><h3>Answer:</h3>

<u>No Solutions</u>

<h3>Step-by-step explanation:</h3>

Given:

$-3|9x -7| = 2$

Rewriting the given equation:

$-3|9x -7| = 2 \\ |9x -7| = -\frac{2}{3}$

We have to realize that the right side of the equation, $|9x -7|$ , will always be positive no matter what real values of $x$ (because we're taking the absolute value of the expression) and we are equating it to a <em>negative</em> constant number, $-\frac{2}{3}\\$ . Something that is always positive will never be negative so there's no value for $x$ that satisfies the solution.

$\rule{6.5cm}{0.5pt}$

<em>You</em><em> </em><em>may</em><em> </em><em>not</em><em> </em><em>read</em><em> </em><em>the</em><em> </em><em>following</em><em> passage</em><em> </em><em>that</em><em> </em><em>I</em><em> </em><em>have</em><em> </em><em>written.</em>

$\rule{6.5cm}{0.5pt}$

Solving by positive of the expression:

$9x -7 = -\frac{2}{3} \\ 9x = -\frac{2}{3} +7 \\ 9x = -\frac{2}{3} +\frac{21}{3} \\ 9x = \frac{19}{3} \\ 9x \times \frac{1}{9} = \frac{19}{3} \times \frac{1}{9} \\ x = \frac{19}{27}$

Solving by the negative of the expression:

$-(9x -7)= -\frac{2}{3} \\ 9x -7 = \frac{2}{3} \\ 9x = \frac{2}{3} +7 \\ 9x = \frac{2}{3} +\frac{21}{3} \\ 9x = \frac{23}{3} \\ 9x \times \frac{1}{9} = \frac{23}{3} \times \frac{1}{9} \\ x = \frac{23}{27}$

Checking: $x = \frac{19}{27}\\$

$-3|9(\frac{19}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|-\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{19}{27}\\$ is an extraneous solution.

Checking: $x = \frac{23}{27}\\$

$-3|9(\frac{23}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{23}{27}\\$ is an extraneous solution.

8 0

3 years ago

Help plssssssssssssssssssss

Schach [20]

Answer:

The circumference is 75.36 inches.

Step-by-step explanation:

Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!

<h3>Given:</h3>

We are given the <u>radius</u> that’s equal to <u>12 inches</u> and π = <u>3.14</u>

<h3>Problem:</h3>

We want to find <u>the circumference</u>.

<h3>Circumference Formula:</h3>

$\displaystyle \large{C=2\pi r}$ which simply means <em>circumference = 2*π*radius</em> or sometimes can also be written as $\displaystyle \large{C=\pi d}$ which means <em>circumference = π*diameter </em>since 2r means two times of radius and that’s technically diameter.

Determine the following:

π = 3.14 as given
r = 12 as given

Apply the circumference formula.

$\displaystyle \large{C=2\cdot 3.14 \cdot 12}\\\\\displaystyle \large{C = 24 \cdot 3.14}\\\\\displaystyle \large{C=75.36}$

Hence, the circumference is <u>75.36 inches</u>.

3 0

2 years ago

Read 2 more answers

Help, please! ASAP!!

In-s [12.5K]

Answer:

a) one solution

b) no solution

Step-by-step explanation:

Systems of equations can be described as having one solution, no solution or infinite solutions:

One solution: 'x' and 'y' are equal to only one value

No solution: 'x' and 'y' can not be solved with the given equations

Infinite solutions: values for 'x' and 'y' include all real numbers

In order to evaluate the systems, putting them in the same format is your first step:

a) - y = -5x - 6 or y - 5x = 6

y - 5x = -6

Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.

b) y + 3x = -1

y = 3x -1 or y - 3x = -1

Solving for 'y' by adding the equations and eliminating 'x', gives us:

2y = -2 or y = -1

Using y = -1 to plug back into an equation and solve for 'x': -1 + 3x = -1 or x = 0. Since 'x' and 'y' can be solved for a value, the system has just one solution.

5 0

3 years ago

The sum of two numbers is five. If n is used to represent the smaller number, translate "three less than two times the larger nu

mojhsa [17]

I think that the answer is four because it makes much more sense but five is not greater than five or less than five so I don’t know. Try four though sorry if it’s wrong though.

7 0

4 years ago

Which expression is equivalent to 20?

DaniilM [7]

Answer:

C. 4 X (3 + 8 – 6)

Step-by-step explanation:

3 + 8 = 11

11 - 6 = 5

5 x 4 = 20

8 0

3 years ago

Read 2 more answers