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Ray Of Light [21]
4 years ago
14

Which statement is true regarding the functions on the

Mathematics
1 answer:
Leto [7]4 years ago
4 0

Answer:

f(-3) = g(-3)

Step-by-step explanation:

Remember points on the graph get their location from the x-axis (horizontal) and y-axis (vertical).

In function notation, "f(x)" means when "x" is the value in the brackets, what the value of "y" will be.

First option for example: f(-3) = g(4)

<em>Value of "y" for f(x) when x = -3:</em>

On the blue line, when x = -3, y = -4.

<em>Value of "y" for g(x) when x = 4:</em>

On the red line, when x = 4, y = -3.

<u>Therefore</u>:

f(-3) = g(4)

-4 = -3          <= This is false.

In the third option: f(-3) = g(-3)

<em>On f(x) blue, when x = -3: </em>y = -4

<em>On g(x) red, when x = -3: </em>y = -4

<u>Therefore</u>:

f(-3) = g(-3)

-4 = -4                <= This is true.

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Answer:

The correct answer is option 3.

Step-by-step explanation:

Given : ΔPQR, QM is altitude of the triangle

PM  = 8

MR = 18

To find = QM

Solution :

PR = 8 + 18  = 26

Let, PQ = x  , QR = y, QM = z

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PQ^2+QR^2=PR^2

x^2+y^2=(26)^2..[1]

Applying Pythagoras Theorem in ΔPQM

PM^2+QM^2=PQ^2

8^2+z^2=(x)^2..[2]

Applying Pythagoras Theorem in ΔQMR

MR^2+QM^2=QR^2

18^2+z^2=(y)^2..[3]

Putting values of x^2 and y^2 from [2] and [3 in [1].

8^2+z^2+18^2+z^2=(26)^2

2z^2=(26)^2-(8)^2-(18)^2

2z^2=288

z^2=144

z = ±12

z = 12 = QM ( ignoring negative value)

The length of QM is 12.

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