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2 years ago

Im stuck on this to could you guys explain how you do this

Mathematics

1 answer:

OverLord2011 [107]2 years ago

8 0

The required equation of a line is y = -3x- 1

<h3>Equation of a line</h3>

The equation of a line in slope-intercept form is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Using the coordinate point (0, -1) and (-1, 2)

Slope = 2-(-1)/-1-0

Slope = 3/-1

Slope =-3

Since the line crosses the y-axis at (0, -1), hence the value of b is -1

Determine the equation

y = mx + b

y = -3x + (-1)

y = -3x- 1

Hence the required equation of a line is y = -3x- 1

Learn more on equation of a line here; brainly.com/question/18831322

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9 tenths - 3 tenths =

amm1812

9 tenths - 3 tenths = 6 tenths. this is true the same way that 9 minus 3 = 6. In reality the tenths make both numbers decimals, but in this case the "tenths" is just a classification of the number and it doesn't effect the answer.

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3 years ago

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You draw a card at random from a deck that contains 333 black cards and 777 red cards. What is \text{P(draw a black card})P(draw

enot [183]

Answer:

The probability of picking a black card at random, from a deck with 3 black cards and 7 red ones is 0.3.

Step-by-step explanation:

We will assume that we have 3 black cards and 7 black cards, for a total of 10 cards. Since we are taking one card at random, we can assume that each card is equally likely to be drawn. We have the following event A: The drawn card is a black. We will find the probability of A as counting the number of outcomes that make A to occur and divide it by the total number of possibilities. We are drawing one card, so we have 10 possibilities to be picked. Out of those 10, only 3 cards are black, hence we have 3 possibilites of picking a black card.

Then,

P(A) = 3/10 = 0.3.

6 0

3 years ago

3/4 Is equivalent to What?

geniusboy [140]

75% or 0.75 or 75/100 which is simplified to 3/4

5 0

3 years ago

Answer question 2 please

julia-pushkina [17]

Answer:

163.2

Step-by-step explanation:

4 0

3 years ago

What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?

olchik [2.2K]

Option A: $\frac{1}{3}$ is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

$\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}$

Also,

$\begin{aligned}A C &=\sqrt{(-12+21)^{2}+(9-18)^{2}} \\&=\sqrt{9^{2}+(-9)^{2}} \\&=\sqrt{81+81} \\&=\sqrt{162}\\&=9\sqrt{2} \end{aligned}$

Dividing A'C' by AC, we have,

$\frac{A'C'}{AC} =\frac{3\sqrt{2} }{9\sqrt{2}} =\frac{1}{3}$

Thus, $\frac{1}{3}$ is the dilation factor

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3 years ago

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