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2 years ago

Help, please

Mathematics

1 answer:

Vladimir79 [104]2 years ago

3 0

Answer:

The first step.

Step-by-step explanation:

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Which segment is congruent to segment GJ

11Alexandr11 [23.1K]

<span>well congruent means they must be equal so since from point G to point J is -3 spaces you would just need to find another segment that is also -3 spaces, JM. For the second question i think you mean find the midpoint between NH, and if so you would need to figure out 0 - 6, which gives you -3 which is located at point K. Hope this is the right one.</span>

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3 years ago

Write the partial fraction decomposition fro the ration expression below

zlopas [31]

$\dfrac{5x-2}{(x-1)^2}=\dfrac a{x-1}+\dfrac b{(x-1)^2}$
$5x-2=a(x-1)+b$

Since $5x-2=5x-5+3=5(x-1)+3$ , it follows that $a=5$ and $b=3$ , so

$\dfrac{5x-2}{(x-1)^2}=\dfrac5{x-1}+\dfrac3{(x-1)^2}$

$\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac{x^3+x+x+2}{x^2(x^2+1)}=\dfrac ax+\dfrac b{x^2}+\dfrac{cx+d}{x^2+1}$
$x^3+x^2+x+2=ax(x^2+1)+b(x^2+1)+(cx+d)x^2$
$x^3+x^2+x+2=(a+c)x^3+(b+d)x^2+ax+b$

When $x=0$ , you find that $b=2$ . It's also clear that $a=1$ . So the remaining constants must be $1+c=1\implies c=0$ and $2+d=1\implies d=-1$ , and so you get

$\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac1x+\dfrac2{x^2}-\dfrac1{x^2+1}$

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4 years ago

If a square has an area of 1255 sq yards, what is the length of one of the sides of this square?

eimsori [14]

Answer: 35.4 yards

<u>Step-by-step explanation:</u>

Area of a square = s²

1255 = s²

35.4 = s

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3 years ago

Which value is equivalent

oksano4ka [1.4K]

Answer:

the first one is equivalent

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4 years ago

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The gas tank in Manny's car holds 25.05 liters of gasoline. The car gets 36.05 miles to the gallon. How many miles can Manny dri

Nastasia [14]

Answer:

238.2905

Step-by-step explanation:

you find out how many liters are in a gallon. then you divide 25.05 by the numbers you get when you find out how many liters are in a gallon. then you multiply 36.05 and the numbers you get when you divide 25.05 and the numbers of liters in a gallon.

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3 years ago

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