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2 years ago

Rewrite the equation by completing the square.

Mathematics

1 answer:

dlinn [17]2 years ago

8 0

Answer:

(x + 1/2)^2 = 289/4

Step-by-step explanation:

x^2+x-72=0

Write like this:

(x + ___)^2 = ___

put 72 on other side

x^2 + x = 72

x^ + x + (1/4) = 72 + (1/4)

(x + 1/2)^2 = 289/4

x + (1/2) = 17/2

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The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?

antoniya [11.8K]

Answer:

1,280

The dimensions are 5 by 4

Step-by-step explanation:

You multiply 20 and 16 then, divide 0.25 then you get 1,280

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2 years ago

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126 + 9x = 180
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3 years ago

Gabriel divides 64 grapes among his 15 friends. How many grapes does Gabriel give each friend?

kirza4 [7]

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2 years ago

Please give answer for this

andrew-mc [135]

Answer:

100 square cm

Step-by-step explanation:

Area of figure 1 = l *b = 10 *7 = 70 square cm

Area of figure 2 = 6* 5 = 30 square cm

Area of shape = 70 + 30 = 100 square cm

6 0

2 years ago

Simplify

denis23 [38]

Hello!

Answer:

1. =-6

2. =39

3. =-603

_________________________________________________

Explanation: This question's it's about the order of operations. It stands for p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtract. It can also go left to right. (PEMDAS)

1. -4(3-1)+2

Do parenthesis first.

$(3-1)=2$

$-4*2+2$

Then do multiply left to right.

$-4*2=-8$

Add left to right.

$-8+2$

$8-2=6$

*Answer should be have negative sign.*

Answer: → $\boxed{=-6}$

______________________________________________________

2. 3⋅[(30−8)÷2+2]

Do parenthesis first.

$(30-8)=22$

$22/2+2$

Then divide left to right.

$22/2=11$

Add left to right.

$11+2=13$

Multiply left to right.

$3*13=39$

*Answer should be have positive sign.*

Answer: → $\boxed{=39}$

_____________________________________________________

3. 14(1-23)2+13

Do parenthesis first.

$(1-23)=-22$

$14(-22)*2+13$

Then, you multiply left to right.

$14(-22)=-308$

$-308*2=-616$

Add/subtract left to right.

$-616+13$

$616-13=603$

*The answer must be have a negative sign*

Answer: → $\boxed{=-603}$

____________________________________________________________

Hope this helps!

Thank you!

Have a great day!

-Charlie

7 0

2 years ago