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Leokris [45]
2 years ago
6

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

Mathematics
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}

7 0
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
45.90 x 0.05 = $2.295
Which can be rounded to 2.30 if needed.
5 0
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:

4 0
2 years ago
1
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 =

Total change in Sales of Bushels = Total Bushels of Wheat - Average Sales per week

Total change in Sales of Bushels=

Step-by-step explanation:

3 0
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
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