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3 years ago

I need help solving please I don’t understand how to set up the problem thank you in advanced

Mathematics

1 answer:

Roman55 [17]3 years ago

7 0

Answer:

x = 5 unit

Step-by-step explanation:

The given figure represent the theorem of circle,

It two chords of circle intersect outside or inside when produce, then

AP × PB = DP × PC

SO , from given data we can find the X

Now, (X + 4) × 4 = (9 + 3) × 3

Or, X + 4 = $\frac{12 times 3}{4}$

Or, X + 4 = $\frac{36}{4}$

Or, X = 9 - 4

∴ X = 5 unit

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3 years ago

Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

3 years ago

Hello please help i’ll give brainliest

Rama09 [41]

Answer: 81

Step-by-step explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. Write all of the numbers and cross out a even amount of numbers on both sides. Image 1 shows your problem. If your problem had another number, you solve it differently. Check image 2.

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3 years ago