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3 years ago

Solve x^2-12x+36=44 by factoring!! please help asap with work shown :)

Mathematics

1 answer:

AnnyKZ [126]3 years ago

6 0

x^2 - 12x + 36 is a perfect square trinomial and can be written as (x-6)(x-6).

(x - 6)^2 = 44.

Take the square root of both sides to get...

x - 6 = ±√44 (Always make the square root + or - when you square root)

Add 6 to both sides...

x = √44 + 6

x = -√44 + 6

These are the 2 values of x.

You can also write it to be -0.633 and 12.633. (Once you round.)

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What does 2+2 equal A=4 B=5 C=10 D=12

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An air traffic controller has noted that it clears an average of seven planes per hour for landing. What is the probability that

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3 years ago

A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line? A =

Sati [7]

Answer:

Step-by-step explanation:

Y = mx + b

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now we sub...we r looking for b, the y int

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if (x,5) is on the line

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4 years ago

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Find the slope(m) and y-intercept (b) of each representation below.

Anika [276]

<h3>Answer:</h3>

m= 15

b= 45

y= 15x +45

<h3>Concept:</h3>

<u>Overall equation</u>

The equation of a line in slope-intercept form is given by y= mx +b, where m is the slope and b is the y-intercept.

<u>Slope, m</u>

The slope is the measure of how steep the line is. It also defines how the y-axis changes with respect to the x-axis. The formula for finding slope is as shown below.

$\boxed{\text{Slope}=\frac{y_1-y_2}{x_1-x_2} }$

where $(x_1,y_1)$ is the first coordinate and $(x_2,y_2)$ is the second coordinate

<u>y-intercept, b</u>

This is the y-value in which the line cuts through the y-axis (vertical axis).

<h3>Working:</h3>

<u>Slope, m</u>

Let's identify two pairs of coordinates on the line.

2 square units on the y-axis represent $30. Thus, 1 unit on the y-axis represents $15.

The 2 points are: (0, 45) and (5, 120)

Substitute the 2 points into the slope formula:

Slope

= $\frac{120-45}{5-0}$

<em>= </em> $\frac{75}{5}$

= 15

Thus, m= 15.

<u>y-intercept, b</u>

From the graph, the line cuts through the y-axis at y= 45.

Thus, b= 45.

<u>Overall equation</u>

Substitute m= 15 & b= 45 into y= mx +b:

∴ The equation of the line is y= 15x +45.

<h3>Additional:</h3>

To learn more about slope-intercept form, do check out: brainly.com/question/26351470

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1 year ago