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3 years ago

What is the slope of the line that passes through the points (2, 5) and (7, 3)?

Mathematics

1 answer:

lana66690 [7]3 years ago

8 0

ANSWER: $\frac{2}{-5}$

EXPLANATION:

We can use the slope formula and input the x and y values to solve for the slope.

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

$\frac{5-3}{2-7}=m\\\text{Simplify.}\\\frac{2}{-5} =m$

The slope of the line is $\frac{2}{-5}$

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attashe74 [19]

Answer:

(x-4)^2 + (y-2)^2 = 3^2

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Step-by-step explanation:

-Equation of a circle is:

$(x-h)^2+(y-k)^2=r^2$ where the center is (h, k) and the radius is $r^2$ .

-Place the center and the point onto that equation:

$(7-4)^2+(2-2)^2=r^2$

-Then, you solve:

$(7-4)^2+(2-2)^2=r^2$

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$\sqrt{9} =\sqrt{r^2}$

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$(x-4)^2+(y-2)^2=3^2$

$(x-4)^2+(y-2)^2=9$ (simplified if needed)

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3 years ago

What is the volume of a rectangular prism with the dimensions: base 2 3 /8 cm, height 1 1/3 cm, and length 3 3 /4 cm?

Ugo [173]

Answer: 11.84 cm³

Step-by-step explanation:

1. Let's rewrite the given dimensions (expressed as mixed numbers) as decimals. Divide the numerator by the denominator of the fractional part and add the result to whole number part. Then:

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2. Then, to calculate the volume you must multiply its dimensions. Therefore, you obtain the following result:

$V=2.375cm*3.75cm*1.33cm\\V=11.84cm^{3}$

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