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3 years ago

Determine whether the equation is true or false

Mathematics

1 answer:

Alik [6]3 years ago

6 0

Answer:

its is true just keep practicing applying urself love<33

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P(-6,5); y= 2x - 3what is the equation of the perpendicular line that contains line p?

slega [8]

Perpendicular line : m × m1 = -1

from y =2x-3 , m=2

m1•2 = -1
m1 = -1/2

substitute P in --> y= mx +c
5 = -1/2 (-6) + c
5-3 = c
c = 2

y = -1/2x - 1

4 0

3 years ago

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the

WINSTONCH [101]

Answer:

The area of this circle is $(\frac{\pi}{2} )$ the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is $(\frac{2}{\pi} )$ ϕcircle

Step-by-step explanation:

Area of the circle is given by;

$A_c = \frac{\pi d^2}{4}$

Area of the square is given by;

$A_s = L^2$

relationship between the edge length of the square, d, and length of its side, L,

$d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}$

But area of the square , $A_s = L^2$

$d = \sqrt{2A_s}$

Then, the area of the square in terms of the edge length is given by;

$A_s = \frac{d^2}{2}$

Area of the circle in terms of area of the square is given by;

$A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )$

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

$\phi _{circle} = E.(\frac{\pi d^2}{4})$

Flux through the surface of the square is given by;

$\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )$

Therefore, Φsquare is $(\frac{2}{\pi} )$ ϕcircle

5 0

3 years ago

Boyle's Law says that the volume of a gas varies inversely with the pressure. When the volume of a certain gas is 5 L , the pres

olga2289 [7]

Let P = Pressure, V = Volume and be K = constant, by definition of Boyle's Law in which says that the volume of a gas varies inversely with the pressure, we have: P = K / V 586 = K / 5 K = 2930. Then, the pressure when the volume is 2L will be: P = 2930/2 = 1465Kpa

6 0

3 years ago

Since 20% or 1/5, is ___, there will be ___ word problems on the test

VARVARA [1.3K]

Answer:

Step-by-step explanation:

One fifth of fifty is 10.

3 0

3 years ago

For a special order, The ABC company manufactured 400 shirts. Sweatshirts were priced at $35 each and T-shirts at $25 each. The

hodyreva [135]

Answer:

Thy bought 150 Sweatshirts (x) and 250 tshirts (y)

Step-by-step explanation:

35x + 25y = 11500

x + y = 400

-25 (x + y = 400) Multiply by -25 to get the y's to disappear when you add the two equations together

-25x - 25y = 10000

10x =1500

x = 150

Plug 150 in either equation for x to find y

150 + y = 400

y = 250

6 0

3 years ago