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3 years ago

6

Which equation represents the line with slope – 2 that passes through the point (-4, -5)?

1 answer:

12345 [234]3 years ago

7 0

Answer:

D. y+5 = -2(x+4)

Step-by-step explanation:

$\large \boxed{y - y_1 = m(x - x_1)}$

The equation above is point-slope form where x1 and y1 both are the point that the graph passes through ane m is slope as usual.

We are given the point (-4,-5) and slope of -2. We substitute these values in.

$\large{y - ( - 5) = - 2(x - ( - 4))} \\ \large{y + 5 = - 2(x + 4)}$

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If events A and B are mutually exclusive, P(A or B) = 0.5, and P(B) = 0.3; then what is P(A)?

11Alexandr11 [23.1K]

Answer:

$P(A) = 0.2$

Step-by-step explanation:

We have that:

$P(A) = P(a) + P(A \cap B)$

In which P(a) is the probability of a but not b and $P(A \cap B)$ is the probability of both A and B.

By the same logic, we have that:

$P(B) = P(b) + P(A \cap B)$

Also

P(A or B) is

$P(A \cup B) = P(a) + P(b) + P(A \cap B)$

Events A and B are mutually exclusive

This means that $P(A \cap B) = 0$

$P(B) = 0.3 = P(b)$

$P(A \cup B) = P(a) + P(b) + P(A \cap B)$

$0.5 = P(a) + 0.3$

$P(a) = 0.2$

$P(A) = P(a) + P(A \cap B) = 0.2 + 0 = 0.2$

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3 years ago

What type of number is √5? Choose all answers that apply:

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<h2>SOLVING</h2>

$\Large\maltese\underline{\textsf{A. What is Asked}}$

What type of number is $\bf{\sqrt 5}?$ Select all that apply

$\Large\maltese\underline{\textsf{B. This problem has been solved!}}$

Let's start by taking a look at all the four sets of numbers.

<h2>A: Whole number</h2><h3>{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22...∞}</h3>

The set is shown above. To be honest, this is an infinitely small part of the number set; the whole number set would take FOREVER to type ;)

<h2>B: Integers</h2><h3>{∞...-2,-1,0,1,2,3,4,5,6,7,8,9...∞}</h3>

Wow, this set starts at negative infinity and ends at positive infinity!

<h2>C: Rational</h2>

This set consists of all integers, decimals, and fractions.

<h2>D: Irrational</h2>

That's where the desired number $\bf{\sqrt{5}}$ belongs!

$\cline{1-2}$

$\bf{Result:}$

$\bf{=The\;fourth\;option}$

$\LARGE\boxed{\bf{aesthetics \not1\theta l}}$

<em>∞</em>

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2 years ago