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3 years ago

HELP WITH THIS QUESTION??

Mathematics

1 answer:

NikAS [45]3 years ago

7 0

Answer:

Step-by-step explanation:

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Consider the line segment below that is five feet long. Is Q the midpoint of PR? Justify your answer.

givi [52]

Answer:

Q is not the midpoint of PR

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Q is the midpoint of PR

then

PQ=QR

substitute the given values and solve for x

$15x-2=5x+3\\15x-5x=3+2\\10x=5\\x=0.5$

Remember that

$PR=5\ ft$ ----> given problem

$PR=PQ+QR\\PR=(15x-2)+(5x+3)$

substitute the value of x

$PR=(15(0.5)-2)+(5(0.5)+3)$

$PR=(5.5)+(5.5)$

$PR=11\ ft$

Compare with the given value of PR

$5\ ft\neq 11\ ft$

therefore

Q is not the midpoint of PR

4 0

3 years ago

Coordinates of the midpoints of (-9,5) and (21,-7)

slega [8]

Answer:

wait what are we measuring I would need to see the graph to know

6 0

3 years ago

Read 2 more answers

Define the operation a∇b = 2+b^a What is the value of (1∇2)∇3?

VMariaS [17]

Answer:

Step-by-step explanation:

1∇2= (2+2^1)

=2+2=4

(4)∇3= (2+3^4)

=2+81

=83

7 0

3 years ago

2 ln(x + 2) − ln(−x) = 0

enyata [817]

Answer:

$x=-1$

Step-by-step explanation:

Rewrite the equation using the next propierties:

$log(\frac{1}{x} )=-log(x)$

$ylog(x)=log(x^{y} )$

$log(x*y)=log(x)+log(y)$

$ln((x+2)^2)+ln(\frac{-1}{x} )=0\\ln(\frac{(x+2)^2}{-x})=0$

Cancel logarithms by taking exp of both sides:

$\frac{(x+2)^2}{-x} =e^{0} =1$

Multiplying both sides by -x and factoring:

$x^{2} +5x+4=0$

Factoring:

$(x+1)(x+4)=0$

The solutions are:

$x=-1\hspace{3}or\hspace{3}x=-3$

Evaluating x=-4

$2ln(-2)-(4)=0$

This is an absurd because ln(x) is undefined for $x\leq 0$

Evaluating x=-1

$2ln(1)-ln(1)=0\\0-0=0$

Which is correct, hence the solution is:

$x=-1$

6 0

4 years ago

Which equation is the inverse of y = x2 + 16?

sertanlavr [38]

The correct answer is y= x^2-16

4 0

3 years ago