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3 years ago

Is this a right triangle?

Mathematics

2 answers:

Sati [7]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

RoseWind [281]3 years ago

3 0

Answer:

It's B.

Step-by-step explanation:

We need to see if AB is perpendicular to BC. If it is then the product of the slopes of BC and AB will equal -1.

A is the point (-5,5), B is (-3,2) and C is (-6, 0).

Slope of AB = (5 - 2) / (-5 - -3) = 3 / -2 = -3/2.

Slope of BC = (2-0) / (-3 - (-6) = 2 / 3.

The product of their slopes is -3/2 * 2/3 = -1.

Therefore triangle ABC is right-angled.

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3 years ago

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svp [43]

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For example if we were to solve question 5

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3 years ago

Write the equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3

Inga [223]

Answer:

The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:

$\mathbf{y=-\frac{2}{3}x+1}$

Step-by-step explanation:

We need to write equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3.

The equation for slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

We are given slope m = -2/3 and we need to find y-intercept i.e b to write equation of line.

Using point (3,-1) and slope m=-2/3 we can find y-intercept i.e b

$y=mx+b\\-1=-\frac{2}{3}(3)+b\\-1=-2+b\\b=-1+2\\b=1$

So, y-intercept b = 1

The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:

$y=mx+b\\\mathbf{y=-\frac{2}{3}x+1}$

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3 years ago