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3 years ago

Which term best describes the two lines represented by the equations below?

Mathematics

1 answer:

ahrayia [7]3 years ago

8 0

Answer:

Option (2)

Step-by-step explanation:

Equations of the lines have bee given as,

y = $\frac{4}{3}x-5$

y = $\frac{4}{3}x+3$

Both the equations are in the slope intercept form. (y = mx + b)

They have same slopes but different y-intercepts.

Same slopes of the equations define the lines to be the parallel lines.

Therefore, Option (2) will be the correct option.

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Find the values of A and B. The diagram is not drawn to scale.

Montano1993 [528]

A = 180 - 36 = 144

b = 360 - (113 + 36 + 144)
b = 60 -293
b = 67

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3 years ago

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aniked [119]

Answer:

Step-by-step explanation:

To find the solutions (or, in other words, zeroes) of a quadratic function/equation we use the discriminant (the part that's inside the square root of the quadratic formula, $b^2-4ac$ .)

If the discriminant is smaller than 0, there are no zeroes

If the discriminant is equal to 0, there is one zero

If the discriminant is larger than 0, it has two zeroes

The discriminant is commonly denoted as $\Delta$ .

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3 years ago

If the correlation between variable a and variable b is .20, then variable a explains _____ of the variance in variable

timofeeve [1]

The answer would be b. I think.

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3 years ago

A farm stand sells 3 quarts of peaches for $15. Use a model to

Alik [6]

It shows that each quart is $5

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3 years ago

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Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7). What

zlopas [31]

Answer:

D.Clockwise

Step-by-step explanation:

90 Degree Rotation

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

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Main content

Rotations

Rotating shapes about the origin by multiples of 90°

Learn how to draw the image of a given shape under a given rotation about the origin by any multiple of 90°.

Introduction

In this article we will practice the art of rotating shapes. Mathematically speaking, we will learn how to draw the image of a given shape under a given rotation.

This article focuses on rotations by multiples of 90^\circ90∘90, degrees, both positive (counterclockwise) and negative (clockwise).

Part 1: Rotating points by 90^\circ90∘90, degrees, 180^\circ180∘180, degrees, and -90^\circ−90∘minus, 90, degrees

Let's study an example problem

We want to find the image A'A′A, prime of the point A(3,4)A(3,4)A, left parenthesis, 3, comma, 4, right parenthesis under a rotation by 90^\circ90∘90, degrees about the origin.

Let's start by visualizing the problem. Positive rotations are counterclockwise, so our rotation will look something like this:

yyxxA'A′\blueD{A(3,4)}A(3,4)

Cool, we estimated A'A′A, prime visually. But now we need to find exact coordinates. There are two ways to do this.

Solution method 1: The visual approach

We can imagine a rectangle that has one vertex at the origin and the opposite vertex at AAA.

\small{1}1\small{2}2\small{3}3\small{4}4\small{5}5\small{6}6\small{7}7\small{8}8\small{9}9\small{\llap{-}2}-2\small{\llap{-}3}-3\small{\llap{-}4}

5 0

3 years ago