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3 years ago

Does the point (-2, -5) satisfy the equation y = x − -3?

Mathematics

2 answers:

Fed [463]3 years ago

6 0

Answer:

Yes

Step-by-step explanation:

To determine if (- 2, - 5) is a solution to the equation.

Substitute x = - 2 into the right side of the equation and if the value obtained is equal to the y- coordinate of the point then it is a solution.

y = - 2 - 3 = - 5 ← hence (- 2, - 5) is a solution to the equation

Verizon [17]3 years ago

4 0

No because (-2, -5) is negative and the y coordinate needs to be positive.

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Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

Step-by-step explanation:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}$

Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

$\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$

We get:

$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

$=\tan\left(x\right)$

Hence final answer is

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

6 0

3 years ago

Can someone please help me on this question?

yan [13]

Answer: q³⁰

Explanation:

First just solve the first part using the exponent rules

p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.

Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.

Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰

4 0

3 years ago

What is the first step in solving 5v+9=−51

diamong [38]

Answer:

subtract 9 then when u get the answer divide by 5

Step-by-step explanation:

6 0

3 years ago

One marketing company assumes a yearly growth in social media followers of 2.5% after implementing their ideas. Their client cur

tatyana61 [14]

Answer:

The number of follower after x years is 40,000 $(1.025)^{x}$

Step-by-step explanation:

Given as :

The number of current followers = p = 40,000

The rate of growth of follower = r = 2.5%

The time period of growth = t = x years

Let The number of follower after x years = A

<u />

<u>Now, According to question</u>

The number of follower after x years = number of current followers × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = 40,000 × $(1+\dfrac{\textrm 2.5}{100})^{\textrm x}$

Or, A = 40,000 × $(1.025)^{x}$

So, The number of follower after x years = A = 40,000 × $(1.025)^{x}$

Hence, The number of follower after x years is 40,000 $(1.025)^{x}$ Answer

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3 years ago

What is the best measurement to eastimate the volume of a juice box

denis-greek [22]

1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.

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2 years ago