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2 years ago

7

Olive walks at a rate of 4 miles per hour she lives 2 miles from the new station how long will it take for her to walk from home

to the new station

2 answers:

yaroslaw [1]2 years ago

7 0

The answer is 30 minutes.

Alenkinab [10]2 years ago

7 0

It will take her .5 hour.

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Solve the simultaneous equations y=3x+2 and y=x+6

kogti [31]

Answer:

x=2

Step-by-step explanation:

y=3x+2

y=x+6

Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.

Therefore, substitute into both equations as shown:

3x+2=x+6

3x-x=6-2 (bring 2 to the other side by subtracting 2 as well as x)

2x=4

2x/2=4/2 (dividing 2 on both sides to get rid off 2 in 2x)

x=2.

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2 years ago

Use properties to find the sum or product. <br> 93+(68+7)

erma4kov [3.2K]

$93+(68+7)=93+68+7\\use\ commutative\ property: a+b=b+a\\\\=93+7+68\\use\ associative\ property:a+(b+c)=(a+b)+c\\\\=(93+7)+68=100+68=\huge\boxed{168}$

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3 years ago

Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360

Natasha2012 [34]

$\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]$

$\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]$

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

$\rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]$

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2 years ago

Help me on my geometry hw it’s due in 25 minutes

icang [17]

Answer:

now just half the first triangals answers

Step-by-step explanation:

x =21

y=24

<u>TH</u>=24 <u>PQ</u>=12

<u>RH</u>=24 <u>NQ</u>=12

<u>RT</u>=21 <u>NP</u>=10.5

>T=80 >P=80

>H=20 >Q=20

>R=80 >N=80

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2 years ago

Read 2 more answers

You need to find the width of the stream. You cannot measure the width directly, so you draw a diagram showing lengths that you

MAXImum [283]

There is no diagram, therefore we can't answer the question.

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3 years ago