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3 years ago

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segment ab is a diameter of the larger circle. segment ab intersects a chord of the smaller circle pq at a right angle at point

z. segment ab intersects a chord of the larger circle mn at a right angle at point o. if mo = 7x-4, and no =6x, what is thr length of mn.

1 answer:

Effectus [21]3 years ago

8 0

Answer:

Step-by-step explanation:

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Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$

The solution set of the equation is $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

6 0

2 years ago

Read 2 more answers

2.1 x 10^5 +4.3 x 10^4

Alla [95]

Answer:

253,000

Step-by-step explanation:

$10^{5} = 100000$
$10^{4} = 10000$
Plug the above answers in: 2.1 × 100,000 + 4.3 × 10,000
2.1 × 100,000 = 210,000
Plug 210,000 in: 210,000 + 4.3 × 10,000
4.3 × 10,000 = 43,000
Plug 43,000 in: 210,000 + 43,000
210,000 + 43,000 = 253,000

I hope this helps!

4 0

3 years ago

In a data set, Q1 is 24, and Q3 is 36. Regarding the same data, use the "IQR x 1.5" method to determine which of the following n

STatiana [176]

Answer:

The answer is none triangle

Step-by-step explanation:

we know that

The sum of internal angles of a triangle must be equal to

In this problem we have three angles, each measuring

so

The total sum of the three angles is equal to

therefore

The answer is none triangle

6 0

2 years ago

Which decimal number is less than 1.56?

Digiron [165]

The decimal number is 0.9

3 0

3 years ago

How many ways can a person select 3 coins from a box consisting of a penny, a nickel, a dime, a quarter, a half dollar, and a on

tekilochka [14]

Answer:

A person can select 3 coins from a box containing 6 different coins in 120 different ways.

Step-by-step explanation:

Total choices = n = 6

no. of selections to be made = r = 3

The order of selection of coins matter so we will use permutation here.

Using the formula of Permutation:

nPr = $\frac{n!}{(n-r)!}$

We can find all possible ways arranging 'r' number of objects from a given 'n' number of choices.

Order of coin is important means that if we select 3 coins in these two orders:

--> nickel - dime - quarter

--> dime - quarter - nickel

They will count as two different cases.

Calculating the no. of ways 3 coins can be selected from 6 coins.

nPr = $\frac{n!}{(n-r)!}$ = $\frac{6!}{(6-3)!}$

nPr = 120

6 0

2 years ago