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3 years ago

which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3 ?

Mathematics

2 answers:

denis23 [38]3 years ago

6 0

Answer:

$y-2=\frac{1}{3}(x-3)$

Step-by-step explanation:

we know that

The equation of the line into point slope-form is equal to

$y-y1=m(x-x1)$

in this problem we have

$m=\frac{1}{3}$

$(x1,y1)=(3,2)$

substitute the values in the formula

$y-2=\frac{1}{3}(x-3)$

crimeas [40]3 years ago

5 0

Y - y1 = m(x - x1)
slope(m) = 1/3
(3,2)....x1 = 3 and y1 = 2
now we sub
y - 2 = 1/3(x - 3)

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Francesca obtains a loan of $18.965.00. The loan has a simple interest rate of 3%. How much interest will Francesca owe at the e

marin [14]

Answer:

$568.95

Step-by-step explanation:

Given parameters:

Value of loan = $18965

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Unknown:

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The interest on a particular amount is given as:

I = $\frac{PRT}{100}$

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3 years ago

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tia_tia [17]

Answer:

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Step-by-step explanation

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3 years ago

If the expression $3^1 times 9^2 times 27^3 \times 81^4 is simplified to the form 3^n, what is the value of n?

Darina [25.2K]

Answer:

$n=30$

Step-by-step explanation:

Given expression:

$3^1\times 9^2\times 27^3\times 81^4$

The given expression needs to be simplified to the form $3^n$

Applying the exponents rule to simplify.

$3^1\times 9^2\times 27^3\times 81^4$

Writing all numbers as product of 3.

⇒ $3^1\times (3\times3)^2\times (3\times3\times3)^3\times (3\times3\times3\times3)^4$

Writing each in exponents form.

⇒ $3^1\times (3^2)^2\times (3^3)^3\times (3^4)^4$

Using power of a power rule $[\ (a^x)^y=a^{xy}\ ]$

⇒ $3^1\times 3^4\times 3^9\times 3^16$

Using multiplication rule of exponents $[\ a^x\times a^y=a^{x+y}\ ]$

⇒ $3^{1+4+9+16}$

⇒ $3^{30}$

So we have $3^n=3^{30}$

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3 years ago

The number of species of coastal dune plants in australia decreases as the latitude, in °s, increases. There are 34 species at 1

Bas_tet [7]

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Further we know that there are 34 species at 11°s and 26 species at 44°s.

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$(n,l)=(11,34)\text{ and }(n,l)=(44,26)$

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$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{26-34}{44-11}=\frac{-8}{33}=-0.2424$

Therefore, we can write the equation of line in slope intercept form as:

$n=-0.2424l+b$

Where b is the y intercept, and we can find its value using one of the two points.

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Therefore, the required equation of the linear function is:

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4 0

3 years ago

Two classes have a total of 60 students. The students need to make teams of 8t

Step2247 [10]

Answer:

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Here, we have students preparing to make a team of 8 students per team. We now want to know how many complete teams they can make if they are a total of 60;

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8, 16 , 24 , 32, 40 , 48 , 56

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We have 7 8s;

So there would be four left overs

3 0

3 years ago