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3 years ago

A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?

2 answers:

7 0

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-4-4}{3-1}\implies \cfrac{-8}{2}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-4(x-1) \\\\\\ y-4=-4x+4\implies y=-4x+8$

Wittaler [7]3 years ago

4 0

Answer:

y=-4x+8

Step-by-step explanation:

First find the slope of the line using the slope formula.

-4-4/3-1=-4, The slope is -4.

Next, find the value of b by plugging in the value of the slope and either coordinate's x and y-values. I will use the point (1,4).

y=mx+b

4 = -4(1)+b, Solve for b.

4 = -4+b

b = 8 The equation of the line is: y=-4x+8

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Solve for c a(b-c)=d A)c=d-ab/a B)c=ab+d/a C)c=ab-d/a D)c=ab-d/b

bogdanovich [222]

A (b-c)=d
ab-ac=d
ab-d=a.c
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Answer choice C

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3 years ago

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A number cube with faces labeled 1 to 6 is rolled once.

Zepler [3.9K]

Answer:

a) A ∪ B = {2, 4, 5, 6}

b) A ∩ B = {6}

c) $\sf B^c$ = {1, 3, 5}

Step-by-step explanation:

Set notation is used in math to list numbers, objects or outcomes.

It uses curly brackets called "braces". Objects placed within the braces are the elements of the set.

The listing method of set notation simply lists the numbers in the set.

The three dots "..." means it is infinite (goes on forever).

Given:

A number cube with faces labeled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

Event A

The number rolled is greater than 4.

Therefore, the set of outcomes for event A is {5, 6}.

Event B

The number rolled is even.

Therefore, the set of outcomes for event B is {2, 4, 6}.

Part (a)
Event "A or B" means the outcomes in A or B or both.

⇒ A ∪ B = {2, 4, 5, 6}

Part (b)

Event "A and B" means the outcomes in both A and B.

⇒ A ∩ B = {6}

Part (c)

The complement of event B means everything that is not in B.

$\sf \implies B^c =$ {1, 3, 5}

Learn more about set notation here:

brainly.com/question/27913822

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1 year ago

B^2+ 8b + 12 = (b + 6) (?) find the other binomial which will complete the factorization

Naya [18.7K]

Answer:

Step-by-step explanation:

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3 years ago

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DOES ANYONE KNOW HOW TO DO THIS????????

castortr0y [4]

Answer:

1. figure 4

2. Figure 1

3. Figure 3

Step-by-step explanation:

1. r is the degree of the line or group of dots that makes a line. for r=1, the line is going to be as close to a linear line as possible. the dots will be close together a make either a close or perfect straight line. This is why we pick figure 4, because the points are decently close together and form a positive slope.

2. a linear relationship can be tested by a straight line test, and in this case you pick the figure that fails the test the most. in this case, Figure 1 fits.

3. looking for r=-1 is looking for the opposite of r=1, so since figure 3 is the opposite of figure 4, we know it fits the description

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3 years ago

The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and the divisor? That’s

satela [25.4K]

Answer:

The divisor and dividend have the same signs.

Step-by-step explanation:

Let's look at all of the possible outcomes of dividing with different signs.

Positive / positive = positive

Positive / negative = negative

Negative / positive = negative

Negative / negative = positive

We can see that whenever the signs are the same, the quotient is positive.

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3 years ago