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1 year ago

6

Melissa's mother asked her to buy a gallon of milk at the store. The store only had quarts of milk. How many quarts of milk does

Melissa need to buy?

1 answer:

miss Akunina [59]1 year ago

7 0

Answer:

4 quarts of milk

Step-by-step explanation:

4 quarts = 1 gallon

so, melissa needs to buy 4 quarts

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Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

Hence the value of "r" is -2

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3 years ago

A circle inside of a square. The circle touches all sides of the square. The base is 5 centimeters.

lina2011 [118]

Answer:

19.6 cm²

Step-by-step explanation:

If a circle fits perfectly inside of a square, then its diameter is equal to the length of sides of the square.

The area of a circle is given by:

$A= \pi \frac{d^2}{4}$

In this problem, d = 5 cm, the area of the circle is:

$A= 3.14 *\frac{5^2}{4} \\A=19.6\ cm^2$

The approximate area of the circle is 19.6 cm².

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3 years ago

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This derives from the fact that, if you divide 50 by 4, you get a result of 12 with a remainder of 2.

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3 years ago

A sinusoidal function whose period is 1/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3.

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