Solve the equation. Graph the solution(s) if possible. ∣x−3∣+4=9

Mathematics

1 answer:

Mazyrski [523]2 years ago

3 0

Answer:

x=8

x=-2

Step-by-step explanation:

∣x−3∣+4=9

= ∣x−3∣=5

<u>Positive term: (x-3)</u>

(x-3) = 5

Rearrange and Add up

x = 8

<u>Negative term: -(x-3)</u>

Multiply

-x+3 = 5

Rearrange and Add up

-x = 2

Multiply both sides by (-1)

x = -2

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In the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each vari

elena-14-01-66 [18.8K]

Answer:

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Step-by-step explanation:

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2 years ago

Help please!! i don’t understand this one!

12345 [234]

Answer:

C, D

Step-by-step explanation:

This equation can be solved any of several ways. One that doesn't require much thought is using the quadratic formula.

For ax² +bx +c = 0, the solutions are ...

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

In the given equation, a=2, b=11, c=5, so this becomes ...

$x=\dfrac{-11\pm\sqrt{11^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-11\pm\sqrt{81}}{4}\\\\x=\dfrac{-11\pm9}{4}=\left\{-\dfrac{20}{4},-\dfrac{2}{4}\right\}=\{-5,-\frac{1}{2}\}$

The solutions are ...

C. x = -5

D. x = -1/2

_____

My personal favorite is using a graphing calculator. The solutions are the x-intercepts of the expression on the left. That is, where its value is zero, as the equation says.