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2 years ago

Can someone please help

Mathematics

1 answer:

choli [55]2 years ago

3 0

Answer:

(6, -4)

Step-by-step explanation:

If ABCD is dilated by a factor of 2, you multiply the coordinates by 2. For the coordinate D', you would multiply 3 by 2 to get 6 and you would multiply -2 by 2 to get -4. Answer: (6, -4)

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Find the domain of the rational function 9x/(x+5)(x+3)

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Answer:

the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[

Step-by-step explanation:

hello :

f(x) = 9x/(x+5)(x+3)

f exist for : (x+5)(x+3) ≠ 0

(x+5)(x+3)=0

x+5=0 or x+3=0 means : x= - 5 or x= -3

the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[

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Keeping in mind the rules for significant figures, determine how many milliliters there are in 0.073 gallons. 1 gallon = 4 quart

andreev551 [17]

we are given

there are in 0.073 gallons

we can see that there are two non-zero places after decimals

so, there are two siginificant figures

step-1: Change gallons to quarts

we know that

1 gallon = 4 quarts

so, we can write as

$0.073gallons=0.073*1gallon$

$0.073gallons=0.073*4quarts$

$0.073gallons=0.292quarts$

step-2: Change into liter

$0.073gallons=0.292quarts$

we know that

1 liter = 1.057 quarts

$1 quart=\frac{1}{1.057} litre$

$0.073gallons=0.292*1quarts$

$0.073gallons=0.292*\frac{1}{1.057} litre$

$0.073gallons=0.27625 litre$

step-3: Change into millilitre

we know that

$1L=1000mL$

$0.073gallons=0.27625*1 litre$

$0.073gallons=0.27625*1000 mL$

Since, it is asking for only two significant figures

so, we can also write as

$0.073gallons=0.28*1000 mL$

$0.073gallons=280 mL$ ...................Answer

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