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2 years ago

Henry correctly subtracted 3p+5/3p from p+3/p-2 and got 12p^2+9p-3p^2+p+10/(p-2)(3p). What is the simplified difference?

Mathematics

1 answer:

IrinaK [193]2 years ago

8 0

Answer:

Step-by-step explanation:

Henry subtracted ( 3p+5)/3p from ( $(\frac{p+3}{p-2})$ and got

$\frac{(12p^{2}+9p-3p^{2}+p+10}{(p-2)(3p)}$

We have simplify the difference

= $\frac{(12p^{2}+9p-3p^{2}+p+10}{(p-2)(3p)}$ = $\frac{(12p^{2}-3p^{2})+(9p+p)+10}{(p-2)(3p)}$

= $\frac{9p^{2}+10p+10}{(p-2)(3p)}$

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Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect. In the kite, AC = 10 a

Oduvanchick [21]

Answer:

$30 u^{2}$

Step-by-step explanation:

The computation of the area of kite ABCD is shown below:

Given data

AC = 10 ;

BD = 6

As we can see from the attached figure that the Kite is a quadrilateral as it involves two adjacent sides i.e to be equal

Now the area of quadrilateral when the diagonals are given

So, it is

$\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}$

where,

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So, the area of the quadrilateral is

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2 years ago

6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A

Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

$42 + 0.72m = 70 + 0.12m$

Collect like terms

$0.72m - 0.12m = 70 - 42$

$0.6m = 28$

Divide both sides by 0.6

$\frac{0.6m}{0.6} = \frac{28}{0.6}$

$m = 46.7$

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

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2 years ago

The Marsh family took a vacation that covered a total distance of 1356 miles. The return trip was 284 miles shorter than the fir

Alex787 [66]

So going+return=1356
return is 284 lesss than going
return=-284+going
subsitute

going-284+going=1356
2going-284=1356
add 284 to both sides
2going=1640
divide both sides by 2
going=820

so we havve
return=-284+going
return=-284+820
return=536

answer is return=536 miles

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1 year ago

Which graph represents an exponential function?

maksim [4K]

Answer:

the bottom one

Step-by-step explanation:

all exponential graphs look similar to that

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2 years ago

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frutty [35]

For this case we have the following equation:
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E: the energy stored by the spring in joules.
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Making the corresponding calculation:
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Answer:
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2 years ago

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