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3 years ago

6

Find the distance between the points (-1/2, 8) and (-1/2, 2) A.1/2 B.10 C.8 D.6

1 answer:

bogdanovich [222]3 years ago

4 0

Answer:

<h2>D. 6</h2>

Step-by-step explanation:

The formula of a distance between two points:

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

We have the points

$\left(-\dfrac{1}{2},\ 8\right)$ and $\left(-\dfrac{1}{2},\ 2\right)$

Substitute:

$d=\sqrt{\left(-\dfrac{1}{2}-\left(-\dfrac{1}{2}\right)\right)^2+(2-8)^2}=\sqrt{\left(-\dfrac{1}{2}+\dfrac{1}{2}\right)^2+(-6)^2}\\\\=\sqrt{0^2+36}=\sqrt{36}=6$

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A 12,000-lb killer whale might eat as much as 14,000 lb of fish per month (assume a 30-day month). If the average weight of a ce

brilliants [131]

Answer:

2196 fish

Step-by-step explanation:

Weight of fish that the killer whale might eat in a month (30 days) = 14,000 lb

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Average weight of the fish that killer whale eats = 3.4 oz

Since,

1 pound(lb) = 16 ounces(oz)

So,

Weight of the fish that killer whale might eat in a day in ounces(oz) = $\frac{1400}{3} \times 16=\frac{22400}{3}$ oz

Since, a certain fish weighs 3.4 oz, in order to find the number of fish that killer whale must eat, we must divide the total weight in ounces by 3.4 ounces.

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8 0

3 years ago

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress.

vaieri [72.5K]

Given:

The system of equations that represent the constraints for the given situation is

$x+y=4.25$

$16.90x+4y=36.35$

To find:

The solution of given system of equations.

Solution:

We have,

$x+y=4.25$ ...(i)

$16.90x+4y=36.35$ ...(ii)

Multiply equation (i) by 4.

$4x+4y=17$ ...(iii)

Subtracting (iii) from (ii), we get

$16.90x+4y-(4x+4y)=36.35-17$

$16.90x+4y-4x-4y=19.35$

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Divide both sides by 12.90.

$x=\dfrac{19.35}{12.90}$

$x=1.5$

Put this value in (i).

$1.5+y=4.25$

$y=4.25-1.5$

$y=2.75$

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

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3 years ago

In ΔTUV, t = 560 inches, v = 400 inches and ∠V=19°. Find all possible values of ∠T, to the nearest degree

Serjik [45]

Answer:

27 and 153 degrees

Step-by-step explanation:

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2 years ago

Which of the following is a true equation?<br> k=y/x<br> k= x/y<br> x= y/k

faust18 [17]

Answer:

Step-by-step explanation:

Your question is not complete.

According to what do we validate with the equation.

add more info in the question because all of them can be true without any condition given or validation.

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3 years ago

Solve for x using the given diagram

blagie [28]

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

Look a t the picture.

The triangles on the picture are similar.

Therefore the sides are in proportion:

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7 0

2 years ago