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olga_2 [115]
2 years ago
15

What is the slope of the line going through the points (-3,-7.5) and (-2,-5)

Mathematics
1 answer:
lakkis [162]2 years ago
7 0

Answer:

<em>2.5</em>

Step-by-step explanation:

y2 - y1 = top

x2 - x1 = bottom

<em>y2 = -5</em>

<em>y1 = -7.5</em>

<em />

<em>x2 = -2</em>

<em>x1 = -3</em>

<em />

<em />

-5-(-7.5) = 2.5

-2-(-3) = 1

2.5 over 1 = 2.5

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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
1) What is common ration of the geometric sequence 500, 200, 80, 32, ...?
IgorLugansk [536]

Answer:

D

Step-by-step explanation:

The numbers are getting divided by 2.5 each time

7 0
3 years ago
Help? Solve the system of equations.<br><br> y = 3x<br> y = x2 + 3x – 16<br> solutions: ( );( )
mote1985 [20]

Answer:

(- 4, - 12 ) , (4, 12 )

Step-by-step explanation:

Given the 2 equations

y = 3x → (1)

y = x² + 3x - 16 → (2)

Substitute y = x² + 3x - 16 into (1)

x² + 3x - 16 = 3x ( subtract 3x from both sides )

x² - 16 = 0 ( add 16 to both sides )

x² = 16 ( take the square root of both sides )

x = ± \sqrt{16} = ± 4

Substitute these values into (1) for corresponding values of y

x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )

x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )

6 0
3 years ago
Find the distance between the two points in simplest radical form. (-5,8) (-8,6)
Tanzania [10]

Answer:

\sqrt{445} cannot be reduced any further, so that's the answer.

Step-by-step explanation:

Use the distance formula:

\sqrt{(x2-x1)^{2} +(y2-y1)^{2}} \\\\\sqrt{(-8-10)^{2}+(6--5)^{2}}\\\\\sqrt{(-18)^{2}+(11)^{2}}\\\\\sqrt{(324)+(121)}\\\\= \sqrt{445}\\

5 0
3 years ago
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15% of what number is 90
maw [93]
Let the number be x 

15% = 90
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8 0
3 years ago
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