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Natasha_Volkova [10]
3 years ago
14

Find BC if B(8, -7) and C(-4,-2)

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

13 unit

Step-by-step explanation:

By the distance formula,

The distance between two points (x_1,y_1) and (x_2, y_2) is,

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

Thus, the distance between B(8,-7) and C(-4,-2) is,

BC=\sqrt{(-4-8)^2+(-2+7)^2}

=\sqrt{(-12)^2+(5)^2}

=\sqrt{144+25}

=\sqrt{169}

=13\text{ unit}

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anastassius [24]

Option D:

Right triangle

Solution:

Let us first define obtuse, acute right triangle and supplementary.

<u>Obtuse angled triangle:</u>

If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.

<u>Acute angled triangle:</u>

If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.

<u>Right angled triangle:</u>

If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.

<u>Supplementary:</u>

If sum of the angles is 180°, then the angles are supplementary angles.

But this is not a kind of triangle.

In given triangle one of the angle is 90°.

Therefore, this is a kind of right triangle.

Option D is the correct answer.

8 0
4 years ago
Help!<br> Algebraic Relationship <br> y= x/4-1
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32, 7

0, - 1

20, 4

You just plug in the numbers and solve

3 0
3 years ago
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Ilya [14]

Answer:

<h2><u><em>125 gal</em></u></h2>

Step-by-step explanation:

in 10 minutes 50 gal is used

50 + 50 = 100

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25 is half of 50

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5 0
3 years ago
Read 2 more answers
A new school has x day students and y boarding students.
guapka [62]

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as x + 2y\geq 1200.​

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are \$600 a term.

So, the fees for x day students are \$600x a term.

The fees for a boarding student are \$1200 a term.

The fees for y boarding student are \$1200y a term.

Total fees for x day students and y boarding student is:

\text{Total fees}=600x+1200y

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

600x+1200y\geq 720000

600(x+2y)\geq 720000

Divide both sides by 600.

\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}

x+2y\geq 1200

Hence proved.

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3 years ago
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Vaselesa [24]
The answer for m is 7/2
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3 years ago
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