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4 years ago

(r-1)^2 this is to the power of two

2 answers:

7 0

(r-1)^2= (r-1)(r-1)

Foil:

First: r*r=r^2
Outer: r*-1= -r
Inner: r*-1= -r
Last: -1*-1= 1

Put it together and simplify:
r^2-r-r+1
r^2-2r+1

Final answer: r^2-2r+1

mars1129 [50]4 years ago

6 0

Use formula: (a-b)² = a² - 2ab + b²

(r-1)² = r² - 2r + 1

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Jim provides photos for two online sites: site A and site B. Site A pays $0.85 for every photo Jim provides. The amount in dolla

yarga [219]

We can use the same equation to figure out with only substituting the amount he was paid per photo.

Site A y = $0.85x = $0.85(5) = $4.25
Site B y = $0.40x = $0.40(5) = $2.00

We can see that Jim was paid $2.25 more at site A than Site B.

6 0

3 years ago

Read 2 more answers

Latoya had a large collection of basketball cards. she gave half to her friend,Erin. And 1/4 to her brother. She now has 75 card

Kipish [7]

For this case, the first thing we must do is define variables.

We have then:

x: initial amount of cards

We now write the equation that models the problem:

$x - (\frac{1}{2}) x - (\frac{1}{4}) x = 75$

$(\frac{1}{4}) x = 75\\x = 75 * 4\\x = 300$

Therefore, the initial amount of cards is 300

Answer:

Latoya had 300 cards at the beginning

5 0

3 years ago

Read 2 more answers

If triangle ABC is similar to triangle DEC, find the values of x and y.

Mumz [18]

The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.

Step-by-step explanation:

The given are,

From ΔABC,

AB= 6

BC= 10

AC = x

From ΔDEC,

CD= 28

DE= 21

CE = y

Step:1

Pythagoras theorem from ΔABC,

$BC^{2}=AB^{2} + AC^{2}$ ...............(1)

Substitute the values,

$10^{2}$ = $6^{2}$ + $AC^{2}$

100 = 36 + $AC^{2}$

$AC^{2}$ = 100 - 36

= 64

AC = $\sqrt{64}$

AC = 8

AC = x = 8

Step:2

Pythagoras theorem for ΔDEC,

$CE^{2} = CD^{2} + DE^{2}$ ................(2)

From the values,

$CE^{2}$ = $28^{2}$ + $21^{2}$

$CE^{2}$ = 784 + 441

= 1225

CE = $\sqrt{1225}$

CE = 35

CE = y = 35

Result:

The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.

5 0

3 years ago

In a place 100 soldiers had enough food for 60 days .how many soldiers leave the place so that food long last for 80 days

Tresset [83]

Answer:

48 soldiers leave the place.

Step-by-step explanation:

100/60=80/x
100x=4800
x=4800/100
x=48

hope it helps.

<h2>stay safe healthy and happy.</h2>

3 0

3 years ago

What are the potential solutions of In(x^2-25)=0?

Maslowich

Answer:

$x =\pm \sqrt{26}$

Step-by-step explanation:

Given :-

ln ( x² - 25 ) = 0

And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,

Equation :-

$\implies log_e {(x^2-25)}= 0$