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2 years ago

Write an equation in slope-intercept form y = mx + b of a line with a slope of 3/4

Mathematics

1 answer:

zvonat [6]2 years ago

3 0

Answer:

y=3/4x-2

Step-by-step explanation:

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A group of 123 students went on a field trip to

irakobra [83]

Answer:

8.2

Step-by-step explanation:

If each student in the group collected 15 shells, we know that there are 123 students on the field trip, so we can take 123 and divide it by 15 to get 8.2 or 41/5.

7 0

2 years ago

Write 2/3 as a percent. Round your answer to the nearest tenth of a percent.

sweet [91]

divide 2 b 3

2 divided by 3 = 0.625

move decimal point 2 places to the right to turn to a percentage

0.625 = 62.5%

8 0

2 years ago

A pipe gallon can pump 1,000 gallons of water in 4 hours, how long would it take for the pipe to fill a 2500 gallon pool?

almond37 [142]

You can divide 1000 by 4 then multiply a number to get 2500

1000/4= 250

250 x 10 = 2500

Answer: 10 hours

8 0

2 years ago

Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

Alex Ar [27]

Answer:

$\frac{x^2}{12}-\frac{y^2}{4}=1$

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>

<u /> $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Directrices -> $x=\pm\frac{a^2}{c}$
Foci -> $(\pm c,0)$ where $a^2+b^2=c^2$
$a>b$

Since we are given our directrices of $x=\pm3$ and foci of $(\pm4,0)$ , then we can set up the directrices equation to solve for $a^2$ :

$x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2$

Now we can determine $b^2$ to complete our equation for the hyperbola:

$a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4$

Therefore, our equation for our hyperbola is $\frac{x^2}{12}-\frac{y^2}{4}=1$

5 0

1 year ago

Help please thankssss

Bad White [126]

The answer to your question is r=6

8 0

9 months ago