Rewrite the following equation in slope-intercept form. 3x − 11y = 19

Mathematics

1 answer:

Law Incorporation [45]2 years ago

8 0

Answer:

y = 3/11(x) - 19/11

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

$3x-11y-3x=19-3x$
$-11y=-3x+19$

Step 2: Divide both sides by -11.

$-11y/-11=(-3x+19)/-11$
$y=\frac{3}{11}x-\frac{19}{11}$

Therefore, the answer is y = 3/11(x) - 19/11.

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If f(x) is an exponential function where f(4) =17 and f (12.5) = 31, then find the value of f(18.5), to the nearest hundredth.

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Solution: f(18.5)=31.47

Step by step solution:
I started by making an equation in slope intercept form- I found the slope, 28/17, with the points (4, 17) and (12.5, 31). Then I found the y intercept, 1, with the point (4, 17). So the equation is y=28/17x+1. Then I just plugged 18.5 where the x is and solved for y

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The diameter of a semicircle is 6 miles. What is the semicircle's perimeter?

koban [17]

Answer:

$15.42mi$

Step-by-step explanation:

Use the formula for a semicircle's perimeter.

$P=\frac{1}{2}\pi *d+d$

Plug in 6 for d.

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Let's use 3.14 for $\pi$ , just to make it easier, but of course, if it states to round it to something else, just plug in that many values for $\pi$ .