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3 years ago

An equation is shown below:

Mathematics

2 answers:

mart [117]3 years ago

5 0

Multiple 6 with numbers inside paranthesis:
12x - 66 + 15 = 21
add 66 fhen substrack 15 from both sides :
12x = 72 divide both sides with 12:
x = 6

Sergio039 [100]3 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

Given: 6(2x - 11) + 15 = 21

Step 1: Use the distributive property and simplify.

12x - 66 + 15 = 21

12x -51 = 21

Step 2: Isolate the variable and constants.

Add 51 from both sides, we get

12x - 51 + 51 = 21 + 51

12x = 72

Step 3: Dividing both sides by 12, we get

x = 72/12

x = 6

The value of x = 6.

Hope this will helpful.

Thank you.

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3 years ago

Does anybody know this?Find the area of the regular polygon

sweet [91]

Answer:

<h2>2,268 square units</h2>

Step-by-step explanation:

Step 1

Find the area of 1 Triangle

To find this, we will use this formula:

$A=\frac{1}{2} *B*H$

Let's use the formula!

$A=\frac{1}{2} *14*27\\=\frac{1}{2}* 378\\=189$

<em>The area of 1 triangle is 189 square units</em>

Step 2

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2 years ago

A rectangle has an area of 36 square centimeters and a length of 9 centimeters.

melamori03 [73]

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3 years ago

Read 2 more answers

Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

$m_2=-\dfrac{1}{m_1}$

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

$y-y_1=m_2(x-x_1)$

$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

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3 years ago

The sum of three consecutive even integers is 54. Find all three integers.

matrenka [14]

A good way to find the answer to these questions is to find it algebraically. Let's call the first number 'n'.
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3 years ago