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castortr0y [4]
3 years ago
15

Find the values of y which makes the expression (2y + 7) /(y2 - 2y - 15) undefined?

Mathematics
1 answer:
sammy [17]3 years ago
8 0

The  given expression becomes undefined when y=5 or y = -3. The answer is option D.

Step-by-step explanation:

The value of the given expression becomes undefined when the denominator equals 0.

Hence to find the value of y which makes the expression undefined, we can equate the value of the denominator to zero and solve it .

Step 1

  Equate the denominator to 0.

  y^{2}  - 2y -15 = 0

Step 2

   Solve the above equation to get the value of y.

     y^{2}  - 2y -15 = 0

    => (y-5)(y+3) =0 [ Roots of the quadratic equation]

   => y = 5 or y = -3.

Hence when y = 5 or y = -3 the denominator becomes 0, which makes the expression (2y+7)/0  and hence it is undefined.

 

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7 0
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(110×110×110×110)2=?
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2.9282 × 10^8

Step-by-step explanation:

(110×110×110×110)2

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Find the gcf of each pair of number 24 and 56
pshichka [43]
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6 0
3 years ago
3. Given the directed line segment AB, with endpoints A20, 6) and B(-16, 50), find the point Q
garri49 [273]

The point Q that partitions the line segment is Q(2,28)

Given that the directed line segment AB, with endpoints A(20, 6) and B(-16, 50) and divide the segment into a 1:1 ratio.

A line segment is a part of a line bounded by two distinct endpoints and containing all the points of the line segment between its endpoints.

We will find the point Q by using the section formula that is

Q(x,y)=((mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n))

The given ratio is m:n=1:1 and the points (x₁,y₁)=(20,6) and (x₂,y₂)=(-16,50).

Firstly, we will find the point Q for x-axis, we get

Q(x)=(mx₂+nx₁)/(m+n)

Q(x)=(1×(-16)+1×20)/(1+1)

Q(x)=(-16+20)/2

Q(x)=4/2

Q(x)=2

Now, we will find the point Q for y-axis, we get

Q(y)=(my₂+ny₁)/(m+n)

Q(y)=(1×50+1×6)/(1+1)

Q(y)=(50+6)/2

Q(y)=56/2

Q(y)=28

The point Q that partitions the line segment is Q(x,y)=(2,28)

Hence, point Q partitions this segment into a 1:1 ratio with directed line segment AB, with endpoints A(20, 6) and B(-16, 50) is Q(2,28).

Learn more about the line segment from here brainly.com/question/9034900

#SPJ9

8 0
2 years ago
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