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2 years ago

Find the midpoint of a segment with endpoints (-9, 3) and (5, 7). I need help ASAP pleasee

Mathematics

1 answer:

vfiekz [6]2 years ago

8 0

Answer:

( -2,5)

Step-by-step explanation:

To find the x coordinates of the midpoint, add the x coordinates of the endpoint and divide by 2

( -9+5)/2 = -4/2 = -2

To find the y coordinates of the midpoint, add the y coordinates of the endpoint and divide by 2

( 3+7)/2 = 10/2 = 5

The midpoint is ( -2,5)

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The combined area of a pair of congruent rectangles can be represented, in square units, by the expression 18y^2-818y 2 −8. The

sveta [45]

Answer:

$Perimeter = 12y$

Step-by-step explanation:

Given

$Area = 18y^2 - 8$ -- two rectangles

Required

Determine the perimeter of one of the rectangles

First, calculate the area (A) of 1 rectangle

$A =\frac{1}{2}Area$

$A =\frac{1}{2}(18y^2 - 8)$

$A =9y^2 - 4$

Express as difference of two squares

$A =(3y - 2)(3y+2)$

Area is calculated as:

$A = Length * Width$

So, by comparison:

$Length = 3y - 2$

$Width = 3y + 2$

The perimeter is:

$Perimeter = 2 *(Length + Width)$

$Perimeter = 2 *(3y-2+3y+2)$

Collect Like Terms

$Perimeter = 2 *(3y+3y-2+2)$

$Perimeter = 2 *(6y)$

$Perimeter = 12y$

8 0

2 years ago

There are five puppies in a box, two are girls and three are boys What is the ratio of girls to boys

Fudgin [204]

Answer:

2:3

Step-by-step explanation:

2 would represent the Fraction of girls 3 would represent the fraction of boys.

4 0

2 years ago

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(x+9)(x+2) expand and simplify

klio [65]

We are given the following expression and want to expand it and simplify it.

$(x+9)(x+2)$

Use the FOIL method for expanding

$=x^2+9x+2x+(9\times2)$

Simplify

$=x^2+11x+18$

Let me know if you have any questions or need clarifications, thanks!

~ Padoru

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2 years ago

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Dimensional Analysis

Firlakuza [10]

Answer:

$5.058 USD/gal
$60.70 USD to fill the tank

Step-by-step explanation:

You want to know the cost per gallon of gas and the cost for 12 gallons of gas when the cost per liter is $1.31 CDN and the exchange rate is $1.02 USD per CAD.

<h3>Cost per gallon</h3>

The conversion between liters and gallons is ...

1 US gallon = 3.785411784 liters (exactly)

Then the cost conversion is ...

$\dfrac{\$1.31\text{ CAD}}{1\text{ L}}\times\dfrac{3.785411784\text{ L}}{1\text{ gal}}\times\dfrac{\$1.02\text{ USD}}{\$1.00\text{ CAD}}\approx\boxed{\$5.058\text{ USD/gal}}$

The cost per gallon in terms of US dollars is about $5.06.

The cost for 12 gallons will be ...

(12 gal)×($5.058 /gal) ≈ $60.70

It will cost you $60.70 to fill your 12 gallon tank.

<em>Additional comment</em>

The price of gas is routinely specified to tenths of a cent, both in the US and in Canada. As of today, the cost of gas in Canada has declined to $1.864 CAD/liter. At today's exchange rate of about $0.77 USD per CAD, the equivalent price is $5.406 USD/gal.

8 0

1 year ago

Which transformation will be equivalent to rotating a figure 90° counterclockwise?

aleksandrvk [35]

I believe it would be A. Reflecting over the x-axis and the y-axis. I hope this helps you please let me know

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2 years ago

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