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3 years ago

What is the equation in point−slope form of the line passing through (−3, −4) and (0, 2)?

Mathematics

1 answer:

Nana76 [90]3 years ago

4 0

Answer:

y = 2x + 2

Step-by-step explanation:

To find the slope we do (Y1 - Y2)/(X1-X2) aka rise over run

So, m = (-4 - 2) / (-3 - 0)

m = 2

Now we have y = 2x +b

Notice one of our points is (0,2)

Since the x value of that point is 0, it is the y intercept.

In the slope intercept form b = y-intercept

Therefore b = 2

So, y = 2x + 2

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If 1/2 of 5 is 3, then what is 1/3 of 10?

Dahasolnce [82]

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3 years ago

Which set of coordinates satisfies the equations 3x - 2y =15 and 4x - y = 20

babymother [125]

You use elimination the get x=5 and then plug it in to get y=0 so the coordinate is (5,0)

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3 years ago

10 in.<br> 13 in.<br> 16 in. <br> What is the Surface area of the triangular prism

Marianna [84]

Answer:

about 704 in 2

Step-by-step explanation:

surface area-2Ab+Pb*h

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3 years ago

Find the missing part.

sveta [45]

Answer:

The answer is $a = \frac{15}{4}$

Step-by-step explanation:

We have to:

$cos(\theta) = \frac{adjacent\ side}{hypotenuse}$

So, if we take the 60 degree angle of the smallest triangle, we have to:

$cos(60) = \frac{a}{x}$

We do not know x. But if we take the sine of the angle of 30 degrees and the main triangle we have:

$sin(30) = \frac{x}{15}\\\\x =\frac{15}{2}$

Then:

$cos(60) = \frac{a}{\frac{15}{2}}$

$a = cos(60)\frac{15}{2}$

$a = \frac{15}{4}$

7 0

3 years ago

Find the area of the triangle to the nearest tenth.

andreyandreev [35.5K]

Answer:

42.4

Step-by-step explanation:

1) use this formula of Area of the triangle:

$A=\frac{1}{2} a*b*sin(a,b)$

2) using the formula described above:

A=0.5*14*11*0.55≈42.4 (mm²)

5 0

3 years ago