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FromTheMoon [43]
3 years ago
9

What is the value of X? any help would be great:)

Mathematics
2 answers:
lisov135 [29]3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

Given 2 secants drawn from an external point to the circle, then

EC × ED = EB × EA, that is

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

(x + 4)(x + 5) = (x + 1)(x + 12) ← expand factors on both sides

x² + 9x + 20 = x² + 13x + 12 ← subtract x² + 13x from both sides

- 4x + 20 = 12 ( subtract 20 from both sides )

- 4x = - 8 ( divide both sides by - 4 )

x = 2

m_a_m_a [10]3 years ago
4 0

idk sorry ill look for you

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The age distribution of students at a community college is given below. Age (years) Number of students (f) Under 21 2890 21-24 2
Soloha48 [4]

Answer:

Are the events A and B disjoint? Yes

Step-by-step explanation:

Disjoint events are those events that cannot occur at the same time, i.e. for events <em>X</em> and <em>Y</em> to be disjoint, P(X\cap Y)=0.

The event <em>A</em> is defined as the number of students whose age is at most 32.

And event <em>B</em> is defined as the number of students whose age is at least 37.

The events <em>A</em> and <em>B</em> are disjoint events.

  • The sample space for event <em>A</em> consists of all the students of age group (under 21), (21 - 24), (25 - 28) and (29 - 32).
  • Whereas the sample space for event <em>B</em> consists of all the students of age group (33 - 36), (37 - 40) and (Over 40).

The sample space for the intersection of these two events is:

Sample space of (<em>A</em> ∩ <em>B</em>) = 0

As there are no common terms in both the sample.

Hence proved, events <em>A </em> and <em>B</em> are disjoint.

3 0
3 years ago
What are the roots of x in -10x2 + 12x − 9 = 0?
hoa [83]

Answer:

x_1=\frac{3(2+i\sqrt{6})}{10}

x_2=\frac{3(2-i\sqrt{6})}{10}

Step-by-step explanation:

Use the Quadratic formula:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

You can identify that, in this case:

a=-10\\b=12\\c=-9

Now you need to substitute these values into the formula:

x=\frac{-12\±\sqrt{12^2-4(-10)(-9)}}{2(-10)}

x=\frac{-12\±\sqrt{-216}}{-20}

Remember that:

i=\sqrt{-1}

Therefore,rewriting and simplifying, you get:

x=\frac{-12\±6i\sqrt{6}}{-20}

x=\frac{-6(2\±i\sqrt{6})}{-2(10)}

x=\frac{3(2\±i\sqrt{6})}{10}

Then, you get the following roots:

x_1=\frac{3(2+i\sqrt{6})}{10}

x_2=\frac{3(2-i\sqrt{6})}{10}

6 0
3 years ago
Read 2 more answers
1 . fraction bar a fraction in which the numerator is smaller than the denominator 2 . numerator the number under the fraction l
11Alexandr11 [23.1K]

Answer:

The number under the fraction line tells how many equal parts the whole was broken into

8 0
2 years ago
The sum of Bobbi's and Dan's heights is 130 inches. Dan's height subtracted from 3 times Bobbi's height is 118 inches. What are
Xelga [282]

Answer:

Dan = 68

bobbi = 62

Step-by-step explanation:

Let Bobbi's height = b

Let Dan's height = d

the following equations can be determined from the question

b + d = 130  eqn 1

3b - d = 118  eqn 2

Multiply eqn 1 by 3

3b + 3d = 390  eqn 3

Substract eqn 2 from 3. this gives

4d = 272

d = 68

Substitute for d in eqn 1

b + 68 = 130

b = 62

6 0
2 years ago
Given g(x) = 1/2x+ 5, find the following.<br><br> g(4)<br> g(-10)<br> g(0)
Basile [38]

Answer:

g4

Step-by-step explanation:

m

6 0
3 years ago
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