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enyata [817]
3 years ago
11

Please please help me

Mathematics
1 answer:
Alex73 [517]3 years ago
6 0

Answer:

x = 5.5

Step-by-step explanation:

Given 2 secants intersecting the circle from a point outside the circle then

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

x(x + 14) = 6(6 + 12)

x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )

x² + 14x - 108 = 0 ← in standard form

with a = 1, b = 14 and c = - 108

Using the quadratic formula to solve for x

x = ( - b ± \sqrt{b^2-4ac} ) / 2a

  = ( - 14 ± \sqrt{14^2-(4(1)(-108)} ) / 2

  = ( - 14 ± \sqrt{196+432} ) / 2

  = ( - 14 ± \sqrt{628} ) / 2

  x = \frac{-14-\sqrt{628} }{2} or x = \frac{-14+\sqrt{628} }{2}

  x = - 19.5 or x = 5.5 ( to 1 dec. place )

However x > 0 ⇒ x = 5.5

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Answer:
The last one f(x)=(x+2)2+1 because two units to the right is positive and going up is also positive
6 0
3 years ago
the length and width of a rectangle are consecutive even integers. the area of the rectangle is 80 square units. what are the le
nadya68 [22]
X(x + 2) = 120sq units 

<span>Set it equal to 0 </span>
<span>x^2 + 2x - 120 = 0 </span>

<span>factor </span>
<span>(x + 12)(x - 10) </span>

<span>For the shorter side: </span>
<span>x - 10 = 0 </span>
<span>x = 10 </span>

<span>Now that you have x, solve for the longer side which we said was represented by </span>
<span>x + 2 </span>
<span>10 + 2 = 12 </span>

<span>Proof </span>
<span>A = L x W </span>
<span>120 = 10 x 12 </span>
<span>120 = 120 </span>
<span>true </span>

<span>Our length is 12 and our width is 10</span>
7 0
3 years ago
Y=6<br> X+2y=16<br><br> Can someone one help me out its a substitution and system of equations graph
Nikitich [7]
If you know that y = 6. You just have to switch Y by 6.

x + 2y = 16
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x + 12 = 16
x = 16 - 12
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4 + 2*6 = 16

Hope this helps !

Photon
7 0
3 years ago
Please help me answer for 35 and 36
dexar [7]

Answer:

35. f(2)=16

36. f(2)=77

Step-by-step explanation:

Question 35:

Given:

f(1)=32

f(n)=f(n-1)\times \frac{1}{2}

Plug in 2 for n and simplify. This gives,

f(2)=f(2-1)\times \frac{1}{2}\\f(2)=f(1)\times \frac{1}{2}\\f(2)=32\times \frac{1}{2}\\f(2)=16

Therefore, term 2 is 16.

Question 36:

Given:

f(1)=11

f(n)=f(n-1)\times 7

Plug in 2 for n and simplify. This gives,

f(2)=f(2-1)\times 7\\f(2)=f(1)\times 7\\f(2)=11\times 7\\f(2)=77

Therefore, term 2 is 77.

8 0
3 years ago
PLEASE HELP ASAP I’LL MARK BRAINLIEST Find the area of the figure.
Sonbull [250]
Area of a semicircle is 1/2* πr^2
Area of a square is s^2


Square’s area: 4mm^2

The radius is 3mm
Plug into the equation

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We can use 3.14 as an estimate of pi

1/2*28.26

14.13mm^2

Now just add them both

Total area 18.13mm^2
4 0
3 years ago
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