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8090 [49]
3 years ago
9

What is the value of x?

Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

x=2

Step-by-step explanation:

We will use the secant-secant Formula:

(whole secant) x (external part) =         (whole secant) x (external part)

(1+x+4) * (x+4) = (11+x+1) * (x+1)

Combine like terms

(x+5) (x+4) = (x+12) (x+1)

FOIL

x^2 + 4x+5x + 20 = x^2 +  x+ 12x + 12

Combine like terms

x^2 + 9 x + 20 = x^2 + 13 x + 12

Bring everything to the left

x^2 + 9 x + 20- (x^2 + 13 x + 12) = x^2 + 13 x + 12-( x^2 + 13 x + 12)

x^2 + 9 x + 20- (x^2 + 13 x + 12) =0

Distribute the minus sign

x^2 + 9 x + 20- x^2 - 13 x - 12 =0

Combine like terms

-4x +8 = 0

Subtract 8 from each side

-4x+8-8=0-8

-4x=-8

Divide each side by -4

-4x/-4 = -8/-4

x=2

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A circle with radius of 5 cm sits inside a 11 cm * 11 cm rectangle.
Nadusha1986 [10]

Answer:

42.43  cm^{2}

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

Area\ of\  cirle=\pi r^{2}

                      =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\  \\=78.571\   cm^{2}\\

<u>As here length an width both are 11 cm, we can say that this is a square.</u>

<u />Area\ of\ square=(Side)^{2}

                         =11\times11=121\ cm^{2}

Now, area of shaded region = Area of square - Area of circle

                                               = 121 - 78.571 = 42.429 cm^{2}

Therefore, the area of the shaded region will be 42.43  cm^{2}

Download docx
5 0
3 years ago
Please help asap urgent <br> brainliest
yKpoI14uk [10]

Answer:

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Step-by-step explanation:

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What number is 7 units to the left of -1?<br><br> a.6<br> b.-6<br> c.-8<br> d.8
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Thus, 7 units to the left of -1 is -8.

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Step-by-step explanation:

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We have been provided a diagram which tells us that Patti drew vertical line segments from two points to the line in her scatter plot. The first point she selected was dwarf crocodile. The second point she selected was for an Indian Gharial crocodile.

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Therefore, Patti's line have resulted in a predicted bite force that was closer to actual bite force for the dwarf crocodile.

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