Which choice is equivalent to the fraction below?

write the equation in slope intercept form of the line that has a slope of 2 and contains the point (1,1)

Genrish500 [490]

y = 2x + b

1 = 2x 1 + b

1 = 2 + b

-1 = b

y = 2x - 1

4 0

3 years ago

Lesson 4.10 - Analytic Geometry

Nadusha1986 [10]

Geometric shapes are mathematical shapes that include squares and triangles

<h3>How to prove the shape is a square</h3>

The side lengths of a square are congruent, and the adjacent sides are perpendicular.

So, we start by calculating the side lengths using the following distance formula

$d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}$

Using the above formula, we have:

$AB = \sqrt{(3-2)^2 + (4+2)^2} = \sqrt{37$

$BC = \sqrt{(2+4)^2 + (-2+1)^2} = \sqrt{37$

$CD = \sqrt{(-4+3)^2 + (-1-5)^2} = \sqrt{37}$

$DA = \sqrt{(-3-3)^2 + (5-4)^2} = \sqrt{37}$

The above shows that the side lengths of the square are congruent.

Next, calculate the slope of the sides using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m_{AB} = \frac{4 +2}{3 -2} = 6$

$m_{BC} = \frac{-2 + 1}{2+4} = -\frac 16$

$m_{CD} = \frac{-1 -5}{-4+3} = 6$

$m_{DA} = \frac{5 -4}{-3-3} = -\frac 16$

Notice that the opposite slopes are congruent, and the adjacent slopes are opposite reciprocal.

The above highlight, and the equal side lengths show that the figure (1) is a square

<h3>How to prove the shape is a right isosceles triangle</h3>

The legs of a right isosceles triangle are congruent, and the legs are perpendicular.

So, we start by calculating the lengths of the legs using the following distance formula

$d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}$

Using the above formula, we have:

$XY = \sqrt{(5-4)^2 + (-1-4)^2} = \sqrt{26$

$XZ = \sqrt{(5-0)^2 + (-1+2)^2} = \sqrt{26$

The above shows that the legs of the right isosceles triangle are congruent.

Next, calculate the slope of the legs using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m_{XY} = \frac{5-4}{-1 -4} = -\frac{1}{5}$

$m_{XZ} = \frac{5-0}{-1+2} = 5$

Notice that the slopes are opposite reciprocal.

The above highlight, and the equal legs show that the figure (2) is a right isosceles triangle

Read more about geometric shapes at:

brainly.com/question/14285697

7 0

3 years ago

50 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS!!! HELP MEEEEEEEE

Anika [276]

In geometry it is the shape made when a solid is cut through by a plane.

Example:

Part A: The name of the shape created by cross section of the prism is a square

<span>(We don't draw the rest of the object, just the</span><span> </span><span>shape</span><span> </span><span>made when you cut through.)</span>

<span>if Part B is a continuation from Part A then the shape of the resulting cross section would be a square.</span>

<span>if Part B is completely </span>separate<span> from Part A then the shape of the resulting cross section would be a rectangle.</span>

Since the wording is confusing I would, for part B, say that the shape of the resulting cross section is a rectangle regardless, because every square is always a rectangle but every rectangle is not always a square.

Part A- Square

Part B- Rectangle

6 0

4 years ago

Read 2 more answers

To buy a car for $36,000 Stacy use your credit card which charges 20% interest and borrowed the restroom and all my bank the cha

alisha [4.7K]

Answer:

12bwwww hey yo

Step-by-step explanation:

lets for a party

3 0

3 years ago

Triangle RST is translated 6 units to the left and 4 units up to create triangle R’S’T’

Dahasolnce [82]

Answer:

B (x,y) —> (-6x,4y)

Step-by-step explanation:

6 is moving left which is negative

4 is moving up which is positive

5 0

3 years ago