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sergey [27]
3 years ago
8

What is the value of x and why

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

x = 7.5

Step-by-step explanation:

If two scants are drawn from a point outside the circle then the product of one secant and its external segment is equal to the product of other secant and its external segment.

By applying this property in the picture attached,

OB × OA = OC × OD

(6 + 3)6 = (12 - x)12

54 = 144 - 12x

12x = 144 - 54

12x = 90

x = 7.5

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6 0
3 years ago
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3 0
3 years ago
find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).​
maksim [4K]

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).​

To find:

The component equation of the plane.

Solution:

The equation of plane is

a(x-x_0)+b(y-y_0)+c(z-z_0)=0

Where, (x_0,y_0,z_0) is the point on the plane and \left< a,b,c\right> is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

-2(x-(-10))+5(y-7)+1(z-5)=0

-2(x+10)+5y-35+z-5=0

-2x-20+5y-35+z-5=0

-2x+5y+z-60=0

-2x+5y+z=60

Therefore, the equation of the plane is -2x+5y+z=60.

4 0
3 years ago
There are 4 grams of sugar in 1⁄2 of a liter of a new sports drink. How much sugar is in 3⁄4 of a liter of the sports drink?
Ira Lisetskai [31]
The correct answer is 6 grams of sugar

Hope this helped :)
4 0
4 years ago
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