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3 years ago

What is the equation of the line? y=3x Y=1/3x Y=1/3x+2 Y=3x+2

Mathematics

2 answers:

Mrrafil [7]3 years ago

6 0

Answer:

Y = 1/3x + 2

Step-by-step explanation:

Since the line increases by 1 unit then goes to right 3 units the line equation must have a slope of 1/3 and must have a y intercept of + 2 since the line crosses the Y axis at +2

kotykmax [81]3 years ago

4 0

Answer: y=1/3x+2 is the correct answer just took the test

Step-by-step explanation:

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Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?

Bogdan [553]

Step-by-step explanation:

$\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}$

$\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}$

$\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}$

$\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}$

Taking sin²θ common in both numerator & denominator, We get :

$\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}$

$\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}$

$\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}$

$\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}$

$\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}$

$\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}$

$\mathsf{\implies \dfrac{5 - 1}{5 + 1}}$

$\mathsf{\implies \dfrac{4}{6}}$

$\mathsf{\implies \dfrac{2}{3}}$

Hence, option (a) 2/3 is your correct answer.

3 0

2 years ago

Helpppppp me please

nataly862011 [7]

Answer:Sure thing? But first what do you need help with and maybe just maybe I will help you with whatever you need help with?

Step-by-step explanation:

7 0

2 years ago

2, 6, 10, 15, ... O Arithmetic O Geometric O Neither

natima [27]

Given:

The sequence is:

2, 6, 10, 15,...

To find:

Whether the given sequence is Arithmetic, Geometric, Neither.

Solution:

We have,

2, 6, 10, 15,...

Different between consecutive terms are:

$6-2=4$

$10-6=4$

$15-10=5$

Since $4\neq 5$ , therefore the given sequence has no common difference. It means it is not an arithmetic sequence.

Ratio of consecutive terms are:

$\dfrac{6}{2}=3$

$\dfrac{10}{6}=\dfrac{5}{3}$

Since $3\neq \dfrac{5}{3}$ , therefore the given sequence has no common ratio. It means it is not a geometric sequence.

Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.

3 0

2 years ago

8x = 88 I can’t figure this out 10 points if you answer

creativ13 [48]

Answer:

divide 88 by the number of x

88/8= 11

X = 11

5 0

2 years ago

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Jing- sheng made a scaled copy of the following rhombus. He used a scale factor greater than 1. What could be the side length of

S_A_V [24]

Answer:

See below.

Step-by-step explanation:

You don't provide the original side length, but since the scale factor is greater than 1, all correct answers are lengths that are greater than the original side length.

Answer: choose any two numbers that are greater than the original length.

6 0

3 years ago

Read 2 more answers