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2 years ago

Pls i need answer with explanation asap.

Mathematics

1 answer:

Mandarinka [93]2 years ago

5 0

Answer:

4 can be rewrite as 2•2, and that's the same as 2².

8 can be rewrite as 2•2•2, and that's the same as 2³

So we can rewrite the whole expression as:

2^x = (2²)⁸•(2³)⁴

2^x = 2¹⁶•2¹²

2^x = 2²⁸

So x = 28

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The area of a square in which p= 36 in

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2 years ago

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

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Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

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This is a parabola (0,2.5) and turns upside down.

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2 years ago

Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.

Alex17521 [72]

-2x + 6y = -34
-x + 3y = -17
x = 3y +17

Sub this into 1st eqn
5(3y + 17) + 2y = 21
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y = -3.7647 (to 5 sig. fig.)
y = -3.8 (to nearest tenth)

Sub y = -3.7647 into 2nd eqn
x = 3(-3.7647) +17
x = 5.7 (to nearest tenth)

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2 years ago

2 times 10 to the 4th subtracted to 7 to the 3ed

alekssr [168]

2 x 10 4th power - 7 3rd power

2 x 10,000 - 343

20,000 - 343

19,657

I think this is the answer to your problem. Hope this helped!

-TTL

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2 years ago

A Kite of Area 255 m2 has one diagonal of length 9m . find the length of the other diagonal

Bas_tet [7]

$\\ \rm\longmapsto Area=255m^2$

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2 years ago