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shepuryov [24]
3 years ago
8

What is the value of x?

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0
When two secant lines intersect each other outside a circle, the products of their segments are equal.

(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5) = (x+1)(x+12)
x² + 5x + 4x + 20 = x² + 12x + x + 12
9x - 13x = 12 - 20
-4x = -8
4x = 8
x = 2

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Solve the following inequality. <br> 2P-3&gt;P+6
MakcuM [25]
The answer is P>9 The number line (if needed is)

8 0
2 years ago
Read 2 more answers
Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discha
mr Goodwill [35]

Answer:

Step-by-step explanation:

Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by

T(x) = 160-0.05x^2

a. [0, 10]

For x = 0

T(0) = 160 - 0.05 × 0^2

T(0) = 160

For x = 10

T(10) = 160 - 0.05 × 10^2

T(10) = 160 - 5 = 155

The average temperature

= (160 + 155)/2 = 157.5

b. [10, 40]

For x = 10

T(10) = 160 - 0.05 × 10^2

T(10) = 160 - 5 = 155

For x = 40

T(10) = 160 - 0.05 × 40^2

T(10) = 160 - 80 = 80

The average temperature

= (80 + 155)/2 = 117.5

c. [0, 40]

For x = 0

T(0) = 160 - 0.05 × 0^2

T(0) = 160

For x = 40

T(10) = 160 - 0.05 × 40^2

T(10) = 160 - 80 = 80

The average temperature

= (160 + 80)/2 = 120

6 0
3 years ago
Simplify: (7/4-8/3)-|1/6-3/4| <br> A.) -3/2<br> B.)1/3<br> C.)2/3<br> D.)5/4
Luden [163]

Answer:

7/4 - 8/3 - |1/6 - 3/4|

criss cross both sides to find their respectively simplified forms.

let's do (7/4 - 8/3) first.

(4 × 8) - (7 × 3) / 3 × 4

= 32 - 21 / 12

= 11 / 12.

then simplify |1/6 - 3/4| by criss crossing the pure numbers inside the absolute value.

Remember, no number can get out of the absolute value while being negative.

= |6 × 3 - 4 / 24|

= |18 - 4 / 24|

= |14/24|

= | 7 × 2 / 12 × 2 |...cancel the 2's

= |7 / 12| --> 7/12

11 / 12 - 7 / 12

= 4 /12

= 4 × 1 / 4 × 3....cancel the 4's

= 1 / 3.

8 0
2 years ago
I need help please ty
Ira Lisetskai [31]

Answer:

Step-by-step explanation:

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3 0
2 years ago
What is a two dimensional figure that extends infinitely in each direction?
nika2105 [10]
A set of parallel lines run infinitely without touching each other! Hope this helps!
4 0
3 years ago
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