Simplify The Following Expression!<br><br> Thanks!

Which of the following are solutions to the equation below?

Luden [163]

Answer:

c) -4/5

d) 4/5

Step-by-step explanation:

The given equation is 25x^2 -16 = 0

Adding 16 on both sides, we get

25x^2 = 16

Dividing both sides by 25, we get

x^2 = 16/25

Taking square root on both sides, we get

x = √(16/25)

x = ±4/5

Therefore, x = 4/5 and x = -4/5

Answers: C) and D)

Hope this will helpful to understand the concept.

Thank you.

4 0

3 years ago

The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

$\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}$

The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

$\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\ \\ Width=x=5\text{ }ft \end{gathered}$

7 0

10 months ago

Sketch and write the equation for each line : y = mx<br> +b

snow_lady [41]

Answer:

equation y =7/4x+1

slope = 7/4

Step-by-step explanation:

We have two points so we can find the slope

m =(y2-y1)/ (x2-x1)

= (4--3)/(2--2)

= (4+3) / (2+2)

= 7/4

We know the slope and the y intercept

We can write the equation using y = mx+b where m is the slope and b is the y intercept

y= 7/4x +1

We put at dot at (0,1) and then go up 7 and to the right 4 . We put another dot

Connect the dots and we have our line.

We could also put dots at (-2,-3) and (2,4) and connect the dots.

7 0

3 years ago

A 4-column table with 5 rows. The first column is labeled age (years) with entries 1, 2, 3, 4, 5. The second column is labeled g

andreyandreev [35.5K]

Answer:

It is (3,0)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The length of Indrani's rectangular pen depends upon the width she chooses. Let w meters stand for one side of the pen. Wrie an

vodka [1.7K]

L=-1w+12 Thats the equation

3 0

3 years ago

Simplify The Following Expression! Thanks!