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zheka24 [161]
3 years ago
7

If g(x)=2(x-4), find the value of x if g(x)=20

Mathematics
1 answer:
kherson [118]3 years ago
3 0

Answer:

3) 14

Step-by-step explanation:

in the given equation replace the "g(x)" with the provided "20"

20=2(x-4) solve as usual

divide each side by 2

10=x-4

add 4 to each side

14=x

the value of x is 14

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Write the equation of a circle with a center at (6, 7) and a diameter of 4.
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(x - 6)² + (y - 7)² = 4

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Equation of circle: (x - h)² + (y - k)² = r²

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The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give
goldfiish [28.3K]

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

=  \sqrt{(p-a)^2+(q-b)^2}

AB= \sqrt{(3-2)^2+(8-2)^2}=\sqrt{1+36}=\sqrt{37} = 6.08 (approx)

Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

CD = √37× 3.5

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= 21.28 unit(approx)

2. Slope of line joining two points (p,q) and (a,b) is given by

m=\frac{q-b}{p-a}

m= \frac{8-2}{3-2}=6

As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6




6 0
3 years ago
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