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3 years ago

Determine the equation of a line that passes through the points: (3, 12) and (- 2, -13)

Mathematics

1 answer:

Lorico [155]3 years ago

7 0

Answer:

Step-by-step explanation:

(-13-12)/(-2-3)= -25/-5= 5

y - 12 = 5(x - 3)

y - 12 = 5x - 15

y = 5x - 3

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A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector

babunello [35]

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

8 0

3 years ago

What is the greatest common factor of the terms in the excerpt 21 x -18 x + 28 x y

Mandarinka [93]

X(21-18+28y). axis the greatest common factor

3 0

3 years ago

HELP!!THANKS FOR ACCURACY

anyanavicka [17]

$\bf tan^2(x)-1=0\implies tan^2(x)=1\implies tan(x)=\pm\sqrt{1} \\\\\\ tan^{-1}[tan(x)]=tan^{-1}(\pm 1)\implies x=tan^{-1}(\pm 1)\implies x= \begin{cases} \frac{\pi }{4}\\\\ \frac{3\pi }{4}\\\\ \frac{5\pi }{4}\\\\ \frac{7\pi }{4} \end{cases}$

5 0

3 years ago

Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?

bearhunter [10]

Answer:

$\sf \log_{10}6=0.7781$

Step-by-step explanation:

<u>Given</u>:

$\sf \log_{10} 2 = 0.3010$

$\sf \log_{10} 3 = 0.4771$

To find log₁₀ 6, first rewrite 6 as 3 · 2:

$\sf \implies \log_{10}6=\log_{10}(3 \cdot 2)$

$\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay$

$\implies \sf \log_{10}(3 \cdot 2)=\log_{10}3+\log_{10}2$

Substituting the given values for log₁₀ 3 and log₁₀ 2:

$\begin{aligned} \sf \implies \log_{10}3+\log_{10}2 & = \sf 0.4771+0.3010\\ & = \sf 0.7781 \end{aligned}$

Therefore:

$\sf \log_{10}6=0.7781$

Learn more about logarithm laws here:

brainly.com/question/27953288

brainly.com/question/27963321

5 0

1 year ago

Read 2 more answers

-7–5(3g+8)<10g–7+g <br><br> help me please!

Ede4ka [16]

Answer:

-20/13 <g

Step-by-step explanation:

-7–5(3g+8)<10g–7+g

Distribute

-7–15g-40<10g–7+g

Combine like terms

-15g - 47 < 11g -7

Add 15 g to each side

-15g+15g -47< 11g+15g -7

-47 < 26g -7

Add 7 to each side

-47+7 < 26g-7+7

-40 < 26g

Divide each side by 26

-40/26 <26g/26

-40/26 <g

Divide top and bottom by 2

-20/13 <g

8 0

3 years ago