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allsm [11]
3 years ago
8

4. Factor the binomial. 16x2 – 25

Mathematics
1 answer:
fiasKO [112]3 years ago
6 0

Answer:

a^2-b^2=(a+b)(a-b) where a=4x and b=5. (4x+5)(4x-5)

Step-by-step explanation:

Since both terms are perfect squares,factor using the difference of squares formula

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A circle has a diameter with endpoints
Mars2501 [29]

Answer:

<em>x² + y² = 841 </em>

Step-by-step explanation:

Midpoint of diameter is a center of a circle.

Coordinates of midpoint are

( x_{1} , y_{1} )

( x_{2} , y_{2} )

( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )

d = \sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }

Equation of a circle with center at (h, k) and radius "r" is (x - h)² + (y - k)² = r²

~~~~~~~~~~

C(20, 21)

D(- 20, 21)

( \frac{-20+20}{2} , \frac{-21+21}{2} ) = (0, 0)

d = \sqrt{(-20-20)^2 +(21+21)^2} = √3364 = 58

r = \frac{d}{2} = 29

x² + y² = 29²

<em>x² + y² = 841</em>

4 0
2 years ago
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Tanya [424]

Answer:

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6 0
3 years ago
A company has found that the number of items sold, x, depends upon
lorasvet [3.4K]

Answer: -$480

Step-by-step explanation:

The revenue us P*x

now, when P = $40, we have:

X = 14400 - 3*40^2 = 9600

then the revenue is:

9600*$40 = $384000

now, the price increaces by $2 so the new equation is:

X = 14400 - 3*42^2 = 9108

The revenue is:

9109*$42 = $382536

You can see that the revenua is smaller than before.

Now, if we want to calculate the rate of change when p = $40, we need to look at X'(40)

this is:

X´(p) = -3*2*p

then:

X'(40) = -3*2*40 = -120

Theh rate of change of the revenua will be:

X'(40)*$40 = -120*$40 = -$480

8 0
3 years ago
Resolva os sistemas abaixo <br> 2x+3y=80<br> 3x+2y=70<br><br><br><br> X=8y<br> X+4y=480
timurjin [86]
Solución 1: 2(x) + 3(y) = 80
solución 2: 3(x) + 2(y) = 70

3(y) + 2(x) = 80
2(y) + 3(x) = 70

2y = -3x + 70
y = -3x÷2 + 35

2x + 3(-3x÷ 2+35) = 80  
-5x÷2 = -25  
-5x = -50

5x = 50   
x-intercept: 10 
x = 10  
y = -3x÷ 2+35

  y = -(3÷2)(10)+35 = 20 

x-interpcet: 10
y-intercept: 20
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
solución: x - 8y = 0
solución x + 4y = 480

-8y + x = 0
4y + x = 480

x-intercept (solución 2)
x = -4x + 480

x-intercept (solución 1)
4y + 180 - 8y = 0
-12y = 480

y-intercept: 40
x-intercept: 320


Buena Suerte!


7 0
3 years ago
How would I solve (-2-2i)(-4-3i)(7+8)
siniylev [52]
(-2-2i)(-4-3i)(7+8)=\\&#10;15(-2-2i)(-4-3i)=\\&#10;15(8+6i+8i-6)=\\&#10;15(2+14i)=\\&#10;30+210i
5 0
3 years ago
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