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2 years ago

What forms of the following equation in? y+5=7(x−3)

Mathematics

2 answers:

skelet666 [1.2K]2 years ago

3 0

I think it would be -26

Gelneren [198K]2 years ago

3 0

Y=7x-26 I’m pretty sure that’s the answer

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What is the answer to 8x^3+125 by factoring the perfect cube?

expeople1 [14]

Answer:

$\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}$

Step-by-step explanation:

$8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)$

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3 years ago

Given a geometric sequence with a1 = 6 and r= 2/3 write an explicit formula for an the nth term of the sequence.

fomenos

the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Step-by-step explanation:

The explicit formula of geometric sequence is of the form:

$a_{n}=a_{1}r^{n-1}$

where a₁ is the first term and r is the common ratio.

We are given:

a₁ = 6

r = 2/3

Putting values in the formula:

$a_{n}=a_{1}r^{r-1}\\a_{n}=6\times (\frac{2}{3})^{n-1}\\$

So, the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Keywords: Explicit formula for geometric sequence

Learn more about Explicit formula for geometric sequence at:

#learnwithBrainly

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2 years ago

Angle θ is in standard position. If tan ⁡ θ < 0 and cos ⁡ θ = − 4/5 , find sin ⁡ θ .

Pani-rosa [81]

Answer:

The value found is.

sin θ = 0.6

Step-by-step explanation:

We know that the value of cosθ is given -4/5

cosθ = -4/5

First, lets finds the angle θ by taking inverse of cosine of -4/5

θ = cos⁻¹ (-4/5)

θ = 143.13°

Substitute the found θ = 143.13° it in tanθ to see if satisfies the equation tanθ < 0:

tanθ < 0

tan(143.13°) < 0

-0.75 < 0

Hence the equation is satisfied.

Which means that θ is equals to 143.13° and can be used to find sinθ

sinθ = sin 143.13°

sin 143.13° = 0.6

6 0

2 years ago

Each side of a square is x meters long. Each side of the square is increased by 10%.

postnew [5]

Increase by 10% is time 1.10

so

area=side^2
sidenew=1.1x
so

(1.1x)^2=44 is equation

6 0

2 years ago

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If 8 counters is the whole, how many counters make 1/4

Gala2k [10]

Answer: 2

each counter is 1/8, so two is 2/8 which is equivalent to 1/4

4 0

2 years ago

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