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3 years ago

Write the equation of the line from the given information (-2,4) & (-3,5)

Mathematics

1 answer:

weeeeeb [17]3 years ago

6 0

Step 1: Find the slope

Slope Formula = (y2 - y1) / (x2 - x1)

Point 1 = (-2, 4)

Point 2 = (-3, 5)

slope = (5 - 4) / (-3 - - 2) = (5 - 4) / (-3 + 2) = (1) / (-1) = -1

Step 2: Find the y-intercept

To find the y-intercept, we will take one of the given points as well as the slope and plug them into slope-intercept form. Then, we will solve for b.

Slope-Intercept Form: y = mx + b

Point = (-2, 4)

Slope = -1

4 = -1(2) + b

4 = -2 + b

b = 6

Step 3: Put it all together

Now that we have the slope and the y-intercept, all that's left to do is plug it into slope-intercept form.

Slope-Intercept Form: y = mx + b

Slope = -1

Y-Intercept = 6

y = -x + 6

Hope this helps!! :)

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3 years ago

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3 years ago

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3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.

Diano4ka-milaya [45]

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

$3x^3+21x^2+36x=0$

Taking 3x common.

$3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0$

x = 3

$x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3$

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.

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3 years ago

80 points! Look at pic attached. I will mark brainiest if you explain your reasoning good. Random answers will be reported.

gregori [183]

Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:

1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.

2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.

<em>*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.</em>

I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)

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3 years ago