MATHEMATICS HIGH SCHOOL

What the solution set (x+9)^2=169 of this quadratic equations by extracting the roots? ​

Answers

Answer 1
Answer:

Answer:

x = - 22, x = 4

Step-by-step explanation:

Given

(x + 9)² = 169 ( take the square root of both sides )

x + 9 = ± √(169) = ± 13 ( subtract 9 from both sides )

x = - 9 ± 13

Thus

x = - 9 - 13 = - 22

x = - 9 + 13 = 4

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How many angles less than a right angle does this triangle have ?

Answers

2 angles are less than a right angle.

What is polygon Interior angles sum theorem?

Is states that sum of all interior angles of any polygon is fixed which is given by formula : (n-2)*180 degree.  

How to solve?

Sum of all the three angles of a triangle is ( n-2 ) *180degree = (3-2)*180 degree =  180 degree.

since one angle is 90 degree, any other angle can't be of 90 degree or more otherwise it won't satisfy condition of sum of interior angles.

To know more about Angles visit:

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#SPJ2
2. the other on top is a right angle

A man walks along a straight path at a speed of 4ft/s. A searchlight is located on the ground 20ft from the path and is kept focused on the man. At what rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight.

Answers

Now note that tan(y) = x=20,
so that sec^2y *dy/dt=1/20 dx/dt
At the instant describedin the problem,
x = 15 and the hypotenuse of the above triangle
thus has length25,
so we compute:(25/20)^2 dy/dt=1/20*4 ==>dy/dt=1/2*400/625

=16/125 rad/sec

A single die is rolled twice. Find the probability of rolling an Odd number the first time and a number greater than 4 the second time.

Answers

The probability of rolling an  odd number the first time and a number greater than 4 the second time is 1/6

The sample space of a single die is

\mathbf{S = \{1,2,3,4,5,6\}}

So, the total sample is 6

The odd numbers are

\mathbf{Odd = \{1,3,5\}} --- 3 odd numbers.

So, the probability of selecting an odd number is:

\mathbf{P(Odd) = \frac 36}

Simplify

\mathbf{P(Odd) = \frac 12}

The numbers greater than 4 are

\mathbf{Greater = \{5,6\}} --- 2 numbers greater than 4.

So, the probability of selecting a number greater than 4 is:

\mathbf{P(Greater) = \frac 26}

Simplify

\mathbf{P(Greater) = \frac 13}

The probability of rolling an  odd number the first time and a number greater than 4 the second time is calculated as follows:

\mathbf{P = P(Odd) * P(Greater)}

So, we have:

\mathbf{P = \frac 12 * \frac 13}

\mathbf{P = \frac 16}

Hence, the probability is 1/6

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Answer: 1/6

Step-by-step explanation:

A die has 6 numbers which are 1, 2, 3, 4, 5 and 6.

Odd numbers in a die = 1, 3 and 6

Numbers greater than 4 = 5 and 6

Probability of rolling an odd number = 3/6 = 1/2

Probability of rolling a number greater than 4 = 2/6 = 1/3

We then multiply both values gotten. This will be:

= 1/2 × 1/3

= 1/6

Therefore, the probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6.

Could someone explain number 18?

Answers

The process and answer are in the picture. If you’re satisfied, could you please give me a brilliant answer! :)
It is going to be X= -19

Explain how to solve the equation. 49= x/7Part 1
Select the correct choice below and fill in the answer box within your choice.
​(Type a whole​ number.)

A . Subtract _from both sides.

B . Multiply both sides by _

C . Add_ to both sides.

D . Divide both sides by _

Answers

49 = (x)/(7)

Multiply both sides of the equation by 7

49 * 7 = (x)/( \cancel7) * \cancel7

343 = x

x = 343

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  • OptionBisthecorrectchoiceandthenumberthatcomesintheblankis7...~

Greatest common factor of 28 and 42

Answers

Answer:

14

Step-by-step explanation:

To calculate the greatest common factor (GCF) of 28 and 42, we need to factor each number (factors of 28 = 1, 2, 4, 7, 14, 28; factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42) and choose the greatest factor that exactly divides both 28 and 42, i.e., 14.
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