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2 years ago

The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region? 2x2 4x2 6x2 8x2

Mathematics

2 answers:

notka56 [123]2 years ago

5 0

The picture in the attached figure

we know that
area of the the shaded region=area of rectangle -area of a kite

area of rectangle=(3x+x)*(x+x)----> 4x*2x---> 8x²

area of a kite=(1/2)*[d1*d2]
where d1 and d2 are the diagonals
d1=4x
d2=2x
so
area of a kite=(1/2)*[4x*2x]----> 4x²

area of the the shaded region=8x²-4x²-----> 4x²

the answer is
4x²

zhuklara [117]2 years ago

3 0

Answer:

B.)4x²

Step-by-step explanation:

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Let $a=-1$, let $b=3$, and let $c=-5$. Calculate $b(abc+5ab)+b(c+a)$.

Andrews [41]

Answer: $b(abc+5ab)+b(c+a)$ = - 18

Step-by-step explanation:

If $a = $ - 1, $b = $3 and $c = $- 5, then

abc = - 1 × 3 × - 5 = 15

5ab = 5 × - 1 × 3 = - 15

Then,

$b(abc+5ab) = 3(15 - 15)

Opening the brackets, it becomes

3 × 0 = 0

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Then,

b(c+a)$ = 3 × - 6 = - 18

Therefore,

$b(abc+5ab)+b(c+a)$ = 0 + (- 18)

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2 years ago

The function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website lau

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Answer:

$y = 30x+290$

Step-by-step explanation:

Given

$y=-x^2+65x+256$

Required

The linear function of a competitor's website

On day 1, both websites have the same subscribers.

This implies that:

$y=-x^2+65x+256$

Substitute: $x =1$

$y=-(1)^2+65*1+256$

$y=-1+65+256$

$y=320$

This implies:

$(x_1,y_1) = (1,320)$

On day 34, both websites have the same subscribers.

This implies that:

$y=-x^2+65x+256$

Substitute: $x =34$

$y=-(34)^2+65*34+256$

$y=-1156+2210+256$

$y=1310$

This implies:

$(x_2,y_2) = (34,1310)$

To calculate the linear function of the competitor, we have:

$(x_1,y_1) = (1,320)$

$(x_2,y_2) = (34,1310)$

Calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 -x_1}$

$m = \frac{1310 - 320}{34-1}$

$m = \frac{990}{33}$

$m = 30$

The equation is then calculated as:

$y = m(x - x_1) + y_1$

This gives:

$y = 30 * (x - 1) + 320$

Open bracket

$y = 30x - 30 + 320$

$y = 30x+290$ --- This represents the linear function of the competitor's website

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2 years ago

Read 2 more answers

-4x-15y=-17 -x+5y=-13 <img src="https://tex.z-dn.net/?f=%20-%204x%20-%2015y%20%3D%20%20-%2017%20%20%5C%5C%20%20-%20x%20%2B

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To solve this system of linear equations we need a little trick called elimination steps are below

we are given the following system of equations
$- 4x - 15y = - 17$
$- x + 5y = - 13$
if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so
$- 4x - 15y = - 17$
$- 4( - x + 5y = - 13)$
simplify and we get
$- 4x - 15y = - 17$
$4x - 20y = 52$
now we can combine like terms on each side with the x's cancelling and get

$- 35y = 35$
now divide off -35
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great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

$- x + 5y = 13$
so now we substitute y and get
$- x + 5( - 1) = 13$
$- x - 5 = 13$
$- x = 17$
$x = - 17$

now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)

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