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3 years ago

5

How many ounces are in 8 cups

2 answers:

Olenka [21]3 years ago

3 0

First ask your self how many ounces are in 1 cup?
8 ounces
So to find how many ounces are in 8 cups, you have to multiply how many ounces in one cyp (8) by 8
8×8=64
64 ounces

allsm [11]3 years ago

3 0

The answer is 64 ounces.

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What are the exact solutions of x2 + 5x + 1 = 0? (5 points)

Rus_ich [418]

Answer:

$x=\frac{-5\pm\sqrt{21} }{2}$

Step-by-step explanation:

We use the quadratic formula here which says for a quadratic equation $ax^2+bx+c=0$ .

$x= \frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Now in our case

$a=1\\b=5\\c=1$

so we have:

$x=\frac{-5\pm\sqrt{5^2-4(1)(1)} }{2(1)} =\frac{-5\pm\sqrt{21} }{2}$

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3 years ago

Find the length of a segment with an endpoint of (2, 1) and a midpoint of (–2, –1).

Travka [436]

Answer:

Length of segment $=4\sqrt5$ units = 8.94 units

Step-by-step explanation:

Given:

End point of line: (2,1)

Midpoint of line: (-2,-1)

To find length of line segment.

Solution:

Distance from endpoint to midpoint is half the length of segment as the midpoint divides the line into equal halves.

Distance from end point to mid point can be found out using distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2)$

Plugging in points for end point (2,1) and midpoint(-2,-1).

$d=\sqrt{(-2-2)^2+(-1-1)^2)$

$d=\sqrt{(-4)^2+(-2)^2)$

$d=\sqrt{16+4)$

$d=\sqrt{20}$

$d=2\sqrt{5}$

Length of half segment $=2\sqrt{5}$ units

∴ Length of segment = $2\times length\ of\ half\ segment= 2\times 2\sqrt5=4\sqrt5$ units

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3 years ago