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VMariaS [17]
4 years ago
5

How can I solve |2x - 5| = 4?

Mathematics
1 answer:
Ray Of Light [21]4 years ago
4 0

well, you already know an absolute value expression has a ± siblings, so let's proceed without much fuss.


\bf |2x-5|=4\implies  \begin{cases} +(2x-5)=4\implies 2x=9\implies x=\cfrac{9}{2}\\[-0.5em] \hrulefill\\ -(2x-5)=4\implies 2x-5=-4\\[1em] 2x=1\implies x=\cfrac{1}{2} \end{cases}

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Vincent propses an idea to the student government to install a basket hoop along with a court marked with all the shooting lines
sladkih [1.3K]

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

Scale Drawing Lengths:   .     .     / .  

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Scale Factor: inch corresponds to ( ∙ ) inches, or inches, so the scale factor is .  

Let = , represent the scale drawing lengths in inches, and represent the actual court lengths in inches. The -values must be converted from feet to inches.  

To find actual length:

= =

() = inches, or feet  

To find actual width:  

= = ( )  

= / ∙ /  

= inches, or feet  

The actual court measures feet by feet. Yes, the lot is big enough for the court Vincent planned. The court will take up the entire width of the lot.

5 0
3 years ago
The value of y varies jointly with the values of x and z. When x = 4 and z = 16, the value of y is 320. When x = 8 and z = 10, t
Viktor [21]

When x is doubled, y is doubled. When z is multiplied by 5/8, so is y. The result of both changes is that y is multplied by 2·(5/8) = 5/4. The new value of y is

... y = 5/4·320 = 400

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If you really want to, you can use the formula

... y = kxz

and compute the value of k as

... k = y/(xz) = 320/(4·16) = 5

Then use this formula with the new values of x and z:

... y = 5·8·10 = 400

8 0
4 years ago
The planet Neptune orbits the Sun. Its orbital radius is 30.130.130, point, 1 astronomical units (\text{AU})(AU)left parenthesis
Kisachek [45]

Answer:

The distance Neptune travels in a single orbit is 60.26\pi  AU.

Step-by-step explanation:

The distance that Neptune travels in a single orbit is the circumference of it's orbit.

The circumference c of any circle of radius r is

c = 2\pi r.

Therefore, the circumference of Neptune's orbit, which has a radius of 30.12 AU, is

c = 2\pi (30.13AU )

\boxed{c = 60.26\pi\: AU }

Or, in Kilometers this is

c = 9.0*10^9 \pi  \: km.                      (1 AU = 1.5*10^8km)

3 0
3 years ago
Read 2 more answers
∠B= please give me the answer!
IrinaK [193]

Answer:

I think it's 45 degrees

Step-by-step explanation:

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3 years ago
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Lerok [7]

Answer:

Area is 113.097

Step-by-step explanation:

7 0
3 years ago
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