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3 years ago

Write an equation in point-slope form for the line that has a slope of 8 and contains the point (6, 9).

Mathematics

1 answer:

HACTEHA [7]3 years ago

5 0

Answer:

y-9=8(x-6)

Step-by-step explanation:

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I got 441 times using this formula 7x3^2=x

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3 years ago

Find all the square roots of x2 ≡ 53 (mod 77)

Nikolay [14]

Answer:

$x=\pm\sqrt{77n+53}$

Step-by-step explanation:

We have been given an equivalence equation $x^2\equiv 53\text{ (mod } 77)$ . We are asked to find all the square root of the given equivalence equation.

Upon converting our given equivalence equation into an equation, we will get:

$x^2-53=77n$

Add 53 on both sides:

$x^2-53+53=77n+53$

$x^2=77n+53$

Take square root of both sides:

$x=\pm\sqrt{77n+53}$

Therefore, the square root for our given equation would be $x=\pm\sqrt{77n+53}$ .

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3 years ago

A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s

inysia [295]

Answer:

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

we know that

The volume of the square pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the base and H is the height of the pyramid

we have

$H=6\ units$

$V=70\ units^{3}$

substitute in the formula and solve for B

$70=\frac{1}{3}B(6)$

$B=70/2=35\ units^{2}$

step 2

Find the height of the square prism

we know that

The volume of the square prism is equal to

$V=Bh$

where

B is the area of the base and h is the height of the prism

we have

$B=35\ units^{2}$

$V=70\ units^{3}$

substitute in the formula and solve for h

$70=(35)h$

$h=2\ units$

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