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2 years ago

what is the equation of a line that passes through the points (0,5) and (4,8)? write the answer in slope-intercept form.

Mathematics

2 answers:

I am Lyosha [343]2 years ago

6 0

Answer:

The Answer is { y = 3/4x + 5 } In slope-intercept form.

Step-by-step explanation:

Sergio039 [100]2 years ago

4 0

Answer:

Step-by-step explanation:

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (4, 8) and (0, 5) → b = 5.

Calculate the slope:

$m=\dfrac{5-8}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}$

Therefore we have the equation of the line:

$y=\dfrac{3}{4}x+5$

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2 years ago

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2 years ago

Bismuth-210 is an isotope that radioactively decays by about 13% each day, meaning 13% of the remaining Bismuth-210 transforms i

Luden [163]

Answer:

Approximately 76.5 mg.

Step-by-step explanation:

Given,

The initial quantity of the Bismuth-210, P = 233 mg,

Also, the rate of decay per day, r = 13 %

Thus, the quantity of the Bismuth-210 after 8 days would be,

$A=P(1-\frac{r}{100})^8$

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3 0

2 years ago

line k has a slope of -5. line j is perpendicular to line k and passes though the point (5,9) create the equation for line j

Anna71 [15]

Answer:

y = 1/5x + 8

Step-by-step explanation:

The first thing you should know is that the slope of a perpendicular line is the opposite reciprocal. So, the slope of line j is 1/5. This is your current equation: y=1/5x + b. Plug in your coordinate to the equation, it should look like this: 9=1/5(5)+ b. 1/5 times 5 equals 1, so this is what it should look like: 9=1 + b. Subtract 1 from both sides to get 8 = b. Go back to your original equation and plug in 8 to b. This is your final equation: y = 1/5x + 8. Hope this helped!

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2 years ago

If 5% more than a is b, and b is 15% less than, what is the ratio of a to c

damaskus [11]

The answer is is 24 5 +9=15+9=24

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2 years ago