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1 year ago

A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?

Mathematics

1 answer:

pashok25 [27]1 year ago

7 0

Answer:

- 4 - 5i

Step-by-step explanation:

The centre of the circle is the average of the endpoints

centre = (- 2 + i - 6 - 11i ) ÷ 2

= (- 8 - 10i ) ÷ 2

= - 4 - 5i

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Write an equation from the information given: A rectangle is twice as long as it is wide. The perimeter of the rectangle is 18.

Agata [3.3K]

Let width = x, Therefore the length must equal 2x

Therefore insert these values on the sides of a rectangle.

Add: 2x + 2x + x + x = 18

Therefore 6x = 18

x = 3

3 0

2 years ago

Can someone help me solve the inequality-2x+4>8 with the steps? Thanks

stellarik [79]

$\huge\text{Hey there!}$

$\rm{-2x + 4 > 8}$

$\large\textsf{SUBTRACT 4 to BOTH SIDES}$

$\rm{-2x + 4 - 4 > 8 - 4}$

$\large\textsf{CANCEL puts 4 - 4 because that gives you 0}$

$\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}$

$\rm{8 - 4 = \boxed{\bf 4}}$

$\rm{NEW\ EQUATION: -2x > 4}$

$\large\textsf{DIVIDE -2 to BOTH SIDES}$

$\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}$

$\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}$

$\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }$

$\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}$

$\rm{\bold{x < -2 }}$

$\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}$

$\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

1 year ago

It takes about 20 hours to drive from Columbus to Houston which is about 1180 miles. What is the unit rate?

Margaret [11]

Answer:

it would be 59 miles per hour

Step-by-step explanation:

$1180/20=59$

4 0

2 years ago

Read 2 more answers

Fruit Company A recently released a new applesauce. By the end of its first year, profits on this product amounted to $37,100. T

Anastasy [175]

Answer: 11 year

P(1) = 37,100

P(4) = 58,400

The linear equation (for x ≥ 1)

P(x) = 37,100 + a(x-1)

For x = 4

58,400 = 37,100 + a(4-1)

58,400 - 37,100 = 3a

21300 = 3a

a = 7100

So, the linear equation:

P(x) = 37100 + 7100*(x-1)

P(x) = 37100 + 7100x - 7,100

P(x) = 7100x + 30000

To find when the profit should reach 108100, we can substitute P(x) by 108100.

108100 = 7100x + 30000

108100 - 30000 = 7100x

78100 = 7100x

x = 78100/7100

x = 11

Answer: 11 year

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10 months ago

14×12 distributive property

miss Akunina [59]

186 if that’s the answer you where looking for if not comment here it will give me a notification and I will see

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