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3 years ago

Solve 2y = 6x + 10 y = 2x + 4

Mathematics

1 answer:

mihalych1998 [28]3 years ago

7 0

Answer:

x =-1

Step-by-step explanation:

$\left \{ {{2y = 6x +10} \atop {y = 2x +4}} \right.$

replace y by 2x +4 in the first equation

2(2x + 4) = 6x + 10

4x + 8 = 6x + 10

-2x +8 = 10

-2x = 2

x = -1

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3 years ago

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kkurt [141]

Answer:

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Step-by-step explanation:

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3 years ago

Find equations of the spheres with center(1, −1, 6)that touch the following planes.a) xy-planeb) yz-planec) xz-plane

Misha Larkins [42]

Given :

Center of sphere , C( 1 , -1 , 6 ) .

To Find :

Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

Distance of the point from xy-plane is :

d = 6 units .

So , equation of circle with center C and radius 6 units is :

$(x-1)^2+(y-(-1))^2+(z-6)^2=6^2\\\\(x-1)^2+(y+1)^2+(z-6)^2=36$

Distance of point from yz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

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Distance of point from xz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

$(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1$

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3 years ago

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3 years ago

What is the exact length of AB

Tatiana [17]

We have the formula S= r * theta , where S is arc length , r is radius , and theta is central angle in radians

So AB= 4 * 45* π/180 = π units

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3 years ago

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