4 years ago

What is the remainder when x^2+4 is divided by x-2?

Mathematics

1 answer:

tangare [24]4 years ago

3 0

The remainder is 8

Step-by-step explanation:

Given expression is

$x^2+4$

Which has to be divided by:

$x-2$

We have used the long division method for the given problem

The process is completed in two steps (Picture Attached)

Hence,

The remainder is 8

Keywords: Division, long division

Learn more about long division at:

#LearnwithBrainly

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What value of x will make the equation true?<br><br><br> (√5)(√5)=x

tangare [24]

Answer:

$( \sqrt{5})( \sqrt{5} ) \\ \sqrt{5 \times 5} \\ \sqrt{25} \\ 5$

so x= 25

25=tex]( \sqrt{5})( \sqrt{5})

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Jake tosses a coin up in the air and lets it fall to the ground. The equation that models the height (in feet) and time (in seco

adoni [48]

Answer:

The maximum height of coin Jake tosses is 15 feet.

Step-by-step explanation:

Given Jake tosses a coin up in the air

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To find height of the coin when Jake tosses it:

When a coin is in the hand of Jake, time t=0

Height of coin is h(t)= $(-16)t^{2} +24t+6$

h(0)= $(-16)(0)^{2} +24(0)+6$

h(0)=6 feet.

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For maximum height of the coin,

h(t)= $(-16)t^{2} +24t+6$

Differentiating both side,

$\frac{d}{dt}h(t)=\frac{d}{dt}[(-16)t^{2} +24t+6]$

$\frac{d}{dt}h(t)=\frac{d}{dt}[(-32)t+24]$

$\frac{d}{dt}h(t)=0$

$\frac{d}{dt}[(-32)t+24]=0$

t= $\frac{24}{32}$

t= $\frac{3}{4}$

t=0.75

Now,

h(t)= $(-16)t^{2} +24t+6$

h(0.75)= $(-16)(0.75)^{2} +24(0.75)+6$

h(0.75)=15 feet.

The maximum height of coin jake tosses is 15 feet.

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4 years ago

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Answer:

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Answer:

Length of the rectangle = 9.58 feet and width = 27.14 foot

Step-by-step explanation:

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