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1 year ago

The coordinates triangle ABC are A (0, 2), B (-2, 6), and C (4, 0). Find the slope of BC.

Mathematics

1 answer:

salantis [7]1 year ago

8 0

In the given triangle, the slope of line BC is (C) -1.

<h3>What is the slope?</h3>

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A line's slope is how steeply it slopes from LEFT to RIGHT.

The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change.

No matter which two locations on the line you choose, the slope of a line is always constant (it never varies).

So, the slope of line BC:

Coordinates of BC are:

B: (-2, 6)

C: (4, 0)

Slope formula: m = y2-y1/x2-x1

Now, substitute the values and calculate as follows:

m = y2-y1/x2-x1

m = 0-6/4-(-2)

m = -6/6

m = -1

Therefore, in the given triangle, the slope of line BC is (C) -1.

Know more about slopes here:

brainly.com/question/29280886

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For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?

Kisachek [45]

Neither the <u>laws of sines</u> nor the <u>law of cosines</u> can be used to solve the triangle. The correct option is the third option - neither law can be used

<h3>Solving trianngles using the laws of sines & cosines </h3>

The law of sines is written as

$\frac{sinA}{a}=\frac{sinB}{b}= \frac{sinC}{c}$

Where a,b, and c are sides of any given triangle and A,B, and C are the angles.

This law is used when we are given either

Two angles and one side, or
Two sides and a non-included angle

The law of cosines is written as

a² = b² + c² -2bc cosA, or

b² = a² + c² - 2ac cosB, or

c² = a² + b² -2ab cosC

Where a,b, and c are sides of any given triangle and A,B, and C are the angles.

This law is used when we are given either

Three sides or
Two sides and the included angle

Now, for triangle xyz, which the measures of angles X,Y, and Z are known, neither law can be used to solve the triangle.

Hence, neither the <u>laws of sines</u> nor the <u>law of cosines</u> can be used to solve the triangle. The correct option is the third option - neither law can be used

Learn more on Solving triangles using the laws of sines & cosines here: brainly.com/question/22339733

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2 years ago

What is the average (arithmetic mean) of the first 90 measurements in a certain list of 92 measurements? (1) the average of the

marishachu [46]

The sum of all the measurements is just the average times the number.

$\bar x = \frac{1}{n} \sum_{i=1}^n x_i$

$\sum_{i=1}^n x_i = n \bar x$

So if the average of all 92 is 7 the sum of those is $92 \times 7$

The average of the last two is 7.2 so their sum is $2 \times 7.2$

That means the sum of the first 90 is $92 \times 7 - 2 \times 7.2$

so the average of the first 90 is

$\dfrac{92 \times 7 - 2 \times 7.2}{90} = 6.99556$ cm

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2 years ago

Can someone explain how to do this and add the formula please

lisabon 2012 [21]

Answer:

5 is 35 and 6 is 50

Step-by-step explanation:

To solve 5, you need to know how many degrees is the line, which is 180 because lines are 180 degrees. You then subtract 110 from 180 which equals to 70. What you have left now is 2k. A number times 2 will equal to 70, so k=35.

For 6, if you ever see two lines intersecting each other, it means that it is 360 degrees. We already have one angle, which is 120. The other angle is d+70 degrees, and any angle that is reflecting the other angle will have the same value. So, d equals 50

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2 years ago

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irina [24]

Answer:

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Step-by-step explanation:

3/8ths of 680 kcal or 3 x 85 = 255 kcal.

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2 years ago

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