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julsineya [31]
3 years ago
8

Equation of the line (-6,5) and (8,14) in standard form

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

\huge\boxed{9x-14y=-70}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-6, 5) and (8, 14).

Substitute:

m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)

Thew standard form of an equation of a line:

Ax+By=C

transform:

y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70

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Tlachihualtepeti is a pyramid in mexico. each side of the base measures 450 meters and had an original height of 66 meters. How
storchak [24]

Answer:

Basically, we are to determine the volume of that pyramid.

Right Regular Pyramid Volume = (Area of the Base * Height) ÷ 3

Volume = (202,500  * 66) ÷ 3

Volume = 4,455,000 cubic meters

By the way Wikipedia says that is the largest pyramid in the world.

Step-by-step explanation:

3 0
3 years ago
It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a
erma4kov [3.2K]

Answer:

125 meters

Step-by-step explanation:

Let distance = d and time is t

Using the variation;

d = k t^2

So let’s us get k

80 = k * 4*2

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k = 80/16 = 5

So for 5 seconds, the distance would be;

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d = 125 meters

4 0
3 years ago
Please help fassssst
Zarrin [17]

Answer:

\dfrac{9}{2}

Step-by-step explanation:

You can do this using the quadratic equation:

x =\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}

Let's first setup our expression:

4x² + 12x = 135

the quadratic formula is:

ax² + bx + c = 0

4x² + 12x - 135 = 0

Then:

a = 4

b = 12

c = -135

Now we plug in our coefficients and solve:

x =\dfrac{-12\pm\sqrt{12^{2}-4(4)(-135)}}{2(4)}

We solve for both to determine the positive one:

x =\dfrac{-12+ \sqrt{12^{2}-4(4)(-135)}}{2(4)}              x =\dfrac{-12- \sqrt{12^{2}-4(4)(-135)}}{2(4)}

x =\dfrac{-12+ \sqrt{144+2160}}{8}                        x =\dfrac{-12- \sqrt{144+2160}}{8}

x =\dfrac{-12+ \sqrt{2304}}{8}                                 x =\dfrac{-12- \sqrt{2304}}{8}

x =\dfrac{-12+ 48}{8}                                        x =\dfrac{-12- 48}{8}

x =\dfrac{36}{8} = \dfrac{9}{2}                                           x =\dfrac{-60}{8} = \dfrac{-15}{2}

So if you are looking for a positive solution, just take the positive one as x.

8 0
3 years ago
In which equation x is = to 180<br> (A) x/49=7 (B) x/12-7 =13 (C) x/3-15=45
topjm [15]
The answers is C. because when you do 180/3-15 you get 45 as the answer.
7 0
3 years ago
A theater has 500 seats. Three fourths of the seats are filled how many seats are filled
Pie

A theater has 500 seats. Three fourths of the seats are filled how many seats are filled

375 seats are filled

4 0
2 years ago
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