Ask question

Ask question

All categories

s344n2d4d5 [400]

2 years ago

11

Simplify fully

title=" \frac{24x {}^{2} }{5xy} " alt=" \frac{24x {}^{2} }{5xy} " align="absmiddle" class="latex-formula">
hurry

1 answer:

Andrej [43]2 years ago

3 0

Answer:

24x / 5y

Step-by-step explanation:

Given :

24x² / 5xy

24x² = 24 * x * x

5xy = 5 * x * y

Hence,

24x² / 5xy = (24 * x * x) / (5 * x * y)

= (24 * x) / (5 * y)

= 24x / 5y

You might be interested in

Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

3 0

3 years ago

For the table below, determine the function rule, and find each of the missing y-values.

anygoal [31]

The answer is 8 and 13

<span>
y = ax + b
y = 4, x = 1 </span>⇒ 4 = a + b
y = 6, x = 3 ⇒ 6 = 3a + b

Solve the system of equation:
a + b = 4
3a + b = 6
______
b = 4 - a
3a + b = 6
______
3a + 4 - a = 6
2a + 4 = 6
2a = 6 - 4
2a = 2
a = 2/2 = 1
b = 4 - a = 4 - 1 = 3

So, the function rule is: y = x + 3

Thus, if x = 7, then y = 7 + 3 = 10
If x = 10, then y = 10 + 3 = 13

x y
1 4
3 6
4 7
5 8
7 10
10 13

6 0

2 years ago

Which set of side lengths form a right triangle?

vova2212 [387]

Answer:

Answer is 7cm,8cm,10cm

Step-by-step explanation:

A^2+B^2=C^2

6 0

3 years ago

Read 2 more answers

Okay these last two are the last ones i need help on!

icang [17]

21) 5 shelves
22)385mm

8 0

3 years ago

Find the area of the parallelogram WXZY shown below. 12 cm, p 10 cm

Kitty [74]

Answer:

Step-by-step explanation:

To find the area of a parallelogram you simply have to multiply one side by the other side. If the parallelogram was a 12 by 10 then the area would be 120. The area for a parallelogram is Base x Height. Hope this helps in some way :)

6 0

3 years ago