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3 years ago

Find the equation in slope-intercept form, of the line passing through the points (1,3) and (-1,2)

Mathematics

1 answer:

natali 33 [55]3 years ago

6 0

Answer:

The equation of the line would be y = .5x + 2.5

Step-by-step explanation:

In order to find this, we must first find the slope of the equation.

m (slope) = (y2 - y1)/(x2 - x1)

m = (2 - 3)/(-1 - 1)

m = -1/-2

m = .5

Now that we have the slope, we can use either point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 3 = .5(x - 1)

y - 3 = .5x - .5

y = .5x + 2.5

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Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W

lesya692 [45]

Answer:

A)segment A"B"= AB / 2

Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A"B"?

coordinate plane with triangle ABC at A(-3, 3), B(1, -3), and C(-3, -3)

A)segment A"B"= AB / 2

B)segment AB = segment A"B"/ 2

C)segment AB / segment A"B"= 1/2

D)segment A"B" / segment AB = 2

A"B" = AB / 2

Because

1. translations do not change the lengths of segments, so (x+2, y+0) preserves the length of AB, i.e. mA'B' = mAB

2. Dilation causes the new segment to be transformed to a new length according to the old length * the scale factor of (1/2).

Therefore A"B" = (1/2)AB, or AB/2.

4 0

2 years ago

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, gi

defon

Answer:

An ordered pair is a set of inputs and outputs and represents a relationship between the two values. A relation is a set of inputs and outputs, and a function is a relation with one output for each input.

here is a exstended explantion:

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to.

For example, consider the following sets X and Y. I'll give you a relation between them that is not a function, and one that is.

X = { 1, 2, 3 }

Y = { a , b , c, d }

Relation from X to Y (i.e., in XxY ) : { (1,a) , (2, b) , (2, c) , (3, d) }

This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c. (Note, if you transpose the ordered pairs you would have a function from Y to X - can you see WHY?)

Relation from X to Y that is a function: { (1,d) , (2,d) , (3, a) }

This is a function since each element from X is related to only one element in Y. Note that it is okay for two different elements in X to be related to the same element in Y. It's still a function, it's just not a one-to-one function.

8 0

3 years ago

Use the linear combination method to solve the system of equations. â€"2. 1x 4y = 5. 3 2. 1x â€" 5. 5y = â€"0. 2 What is the sol

RoseWind [281]

The solution to the systems of equations is (7, 3)

Given the systems of equations expressed as:

-x + 4y = 5 ....................1

x - 5y = -2 ...................... 2

Add both equations to have:

-x+x + 4y - 5y = 5 - 2

4y-5y = -3

-y = -3

y = 3

Substitute y = 3 into equation 1:

-x + 4(3) = 5

-x + 12 = 5

-x = 5 - 12

-x = -7

x = 7

Hence the solution to the systems of equations is (7, 3)

Learn more on simultaneous equations here: brainly.com/question/148035

4 0

2 years ago

In triangle ABC, m <A=35°, m <B=65°, and c=15. find b round your answer to the nearest tenth

GREYUIT [131]

The answer is 65 because when you add 35+65+15 you get 115 and a triangle is 180 degrees so 180-115=65

5 0

2 years ago

Consider the proof.

fiasKO [112]

Answer:

Correct choice is B

Step-by-step explanation:

In step 4 were proved that $\triangle ABC\sim\triangle DEC.$

By definition, similar triangles have proportional lengths of corresponding sides. To the side AB corresponds side ED, to the side AC corresponds side DC and to the side BC corresponds side EC. Thus,

$\dfrac{AC}{DC}=\dfrac{BC}{EC}.$

6 0

2 years ago

Read 2 more answers