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2 years ago

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What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?

1 answer:

Nastasia [14]2 years ago

8 0

Answer:

The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

Step-by-step explanation:

We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)

We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0

We need to find k, by putting value of x=-5 as given in question the point(-5,4)

-5+k=0

k=5

So, the equation of line will be found by putting k=5:

x+k=0

x+5=0

x=-5

So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

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Evaluate the six trigonometric functions of the angle 0

Alla [95]

# Sin θ = 9/15.

# Cos θ = 12/15.

# Cosec θ = 15/9.

# Sec θ = 5/4

Step-by-step explanation:

$by \: using \: pythagorian \: triplets$

${a}^{2} + {b}^{2} = {c}^{2}$

${9}^{2} + {12}^{2} = {c}^{2}$

$81 + 144 = {c}^{2}$

$225 = {c}^{2}$

$c = 15.$

$\sin θ = \frac{9}{15}$

$\cos θ = \frac{12}{15} = \frac{4}{5}$

$\csc θ = \frac{15}{9}$

$\secθ = \frac{5}{4}$

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3 years ago

The price of a pair of shoes is $45.90. The sales tax rate is 5%. How much sales tax do you need to pay?

Ne4ueva [31]

Multiply the price by the 5% by turning the percent into a decimal.
5% = 0.05
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3 years ago

Read 2 more answers

What is the GCF of 96 and 567 The GCF is.<br><br>A 16<br>B 2<br>C 14<br>D 8

vazorg [7]

Answer:

c

Step-by-step explanation:

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2 years ago

Alenkinab [10]

Answer:

Total change in Sales of Bushels =116

Step-by-step explanation:

Total Bushels of Wheat= 220

Average Sale= per day

Average Sale per week =

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Step-by-step explanation:

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3 years ago

A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen

creativ13 [48]

Answer:

$Pr = 0.4286$

Step-by-step explanation:

Given

Let

$U \to\\$ Undergraduates

$G \to$ Graduates

So, we have:

$U = 3; G =5$ -- Total students

$r = 4$ --- students to select

Required

$P(U =2)$

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

$^nC_r = \frac{n!}{(n-r)!r!}$

So, we have:

$Total = ^{U + G}C_r$

$Total = ^{3 + 5}C_4$

$Total = ^8C_4$

$Total = \frac{8!}{(8-4)!4!}$

$Total = \frac{8!}{4!4!}$

Using a calculator, we have:

$Total = 70$

The number of ways of selecting 2 from 3 undergraduates is:

$U = ^3C_2$

$U = \frac{3!}{(3-2)!2!}$

$U = \frac{3!}{1!2!}$

$U = 3$

The number of ways of selecting 2 from 5 graduates is:

$G = ^5C_2$

$G = \frac{5!}{(5-2)!2!}$

$G = \frac{5!}{3!2!}$

$G =10$

So, the probability is:

$Pr = \frac{G * U}{Total}$

$Pr = \frac{10*3}{70}$

$Pr = \frac{30}{70}$

$Pr = 0.4286$

5 0

2 years ago