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Pani-rosa [81]
3 years ago
10

Select the correct answer.

Mathematics
1 answer:
miv72 [106K]3 years ago
7 0

Given:

A function g has the factors (x - 7) and (x + 6).

To find:

The zeros of the function g.

Solution:

We know that if (x-a) is a factor of a function then x=a is a zero of that function because

x-a=0

x=a

It is given that the function g has the factors (x - 7) and (x + 6).

x-7=0

x=7

Similarly,

x+6=0

x=-6

Therefore, -6 and 7 are two zeros of the function g.

Hence the correct option is B.

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Line segment XY is located at X(2, 6) and Y(4,8). If the line segments is dilated by a scale factor of 2 with a center of dilati
Kamila [148]

Given:

Line segment XY is located at X(2, 6) and Y(4,8).

The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4).

To find:

The coordinates of X'

Solution:

If a figure dilated by a scale factor k with a center of dilation (a,b), then the rule of dilation is:

(x,y)\to (k(x-a)+a,k(y-b)+b)

The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). So, the rule of dilation is

(x,y)\to (2(x-(-3))+(-3),2(y-4)+4)

(x,y)\to (2(x+3)-3,2y+2(-4)+4)

(x,y)\to (2x+6-3,2y-8+4)

(x,y)\to (2x+3,2y-4)

The coordinate of X are (2,6).

X(2,6)\to X'(2(2)+3,2(6)-4)

X(2,6)\to X'(4+3,12-4)

X(2,6)\to X'(7,8)

Therefore, the coordinates of X' are (7,8).

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