All categories

3 years ago

If 9 = c, then c = 9. What algebraic equality property justifies the above statement?

Mathematics

1 answer:

netineya [11]3 years ago

4 0

Symmetric property is the correct term

You might be interested in

MATH HELP!!! 100PTS!!!

Lostsunrise [7]

Answer:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Step-by-step explanation:

<u>Given functions</u>:

$p(x)=2x-4$

$r(x)=\dfrac{6x-1}{9x+1}$

Solve for p(x) = r(x):

$\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}$

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

<u>Quadratic Formula</u>

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Therefore:

$a=18, \quad b=-40, \quad c=-3$

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

$\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}$

Therefore, the solutions are:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

6 0

1 year ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each function with the description

LiRa [457]

Answer:

Step-by-step explanation:

i dont know the answer dud sry

6 0

2 years ago

Find the surface area of the triangular prism shown below .

Wewaii [24]

Answer:

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3. lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

7 0

3 years ago

Inequalities retake

Kay [80]

I would like to help but, I need more background information.

6 0

2 years ago

Of all the visitors to a museum on Saturday, 18% were kids younger than 11 years old. In lowest terms, write the fraction of vis

Aleksandr-060686 [28]

<h3>Answer: 9/50</h3>

Explanation:

Any percentage converts to that number over 100.

So 18% would convert to 18/100

We then reduce the fraction by dividing each part by the GCF 2

18/2 = 9

100/2 = 50

The fraction 18/100 fully reduces to 9/50

4 0

3 years ago