03.01.2021

Solving right triangles
15.4 mi
6.3 mi

. 4

Faq

Mathematics
Step-by-step answer
P Answered by PhD
1) b. {−4, 3, 5, 8}
2) a. 30
3) d. The value of g(−2) is larger than the value of g(4).
4) b. − 1 over 2
5) d. y = −2x − 1
6) a. line through the points 0 comma 6 and 12 comma 0
7) a. It is increasing during the time interval 4 < x < 7 hours.
8) from x15 to x 25 is 4 - -16 = -20 degree change
25-15 = 10000 feet
-20/10=-2 degrees every 1000 feet.
9) Suppose that the function f(x) is the parrent function and the graph of the function g(x)=f(x)-a can be obtained from the graph of the parrent function f(x) by shifting down a units.
Rewrite the expression for the function in the following way:
g(x)=32x-9=32x+8-8-9=32x+8-17=f(x)-17.
This shows that the shift down is made by 17 units.
10) b. The graph of y = f(x) will shift down 9 units.
11) b. y + 1 = 5(x + 2)
12) c. f(x) = 2x + 5
13) b. y = 9
14) d. vertical line through the point 5 comma 0
Mathematics
Step-by-step answer
P Answered by PhD

y = -3x

Step-by-step explanation:

Given

The attached graph

Required

Determine the graph equation

To do this, we pick any 3 corresponding points of x and y

(x_1,y_1) = (0,0)

(x_2,y_2) = (2,-6)

(x_3,y_3) = (-4,12)

The equation can then be solved using linear interpolation as follows:

\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}

This gives:

\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}

\frac{y-12}{x+4} = \frac{-6 -0}{2-0}

\frac{y-12}{x+4} = \frac{-6}{2}

\frac{y-12}{x+4} = -3

Multiply both sides by x + 4

(x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)

y - 12 = -3 *(x + 4)

Open bracket

y - 12 = -3x -12

Add 12 to both sides

y - 12+12 = -3x -12+12

y = -3x

Mathematics
Step-by-step answer
P Answered by PhD

y = -3x

Step-by-step explanation:

Given

The attached graph

Required

Determine the graph equation

To do this, we pick any 3 corresponding points of x and y

(x_1,y_1) = (0,0)

(x_2,y_2) = (2,-6)

(x_3,y_3) = (-4,12)

The equation can then be solved using linear interpolation as follows:

\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}

This gives:

\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}

\frac{y-12}{x+4} = \frac{-6 -0}{2-0}

\frac{y-12}{x+4} = \frac{-6}{2}

\frac{y-12}{x+4} = -3

Multiply both sides by x + 4

(x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)

y - 12 = -3 *(x + 4)

Open bracket

y - 12 = -3x -12

Add 12 to both sides

y - 12+12 = -3x -12+12

y = -3x

Mathematics
Step-by-step answer
P Answered by Master

Step-by-step explanation:

1- Order in descending order the following polynomial with respect to the

variable n. Then identify the independent term:

6n^3 + 7n^4 - 2n^2 - 5 + 9n^5

The independent term is - 5.  

3- Look at the following polynomial and identify what the terms are

similar:

- 8 + 3m^3 n - 4m^2n + 7mn^2 - 11nm^3 + 6 m^2 n

The similar terms are + 3m^3 n and - 11 nm^3 and

- 4 m^2 n and 6 m^2 n

Mathematics
Step-by-step answer
P Answered by PhD
I=PRT
I=interest
P=principal=amount  you invested
R=rate in decimal, don't forget to convert percent to decimal
T=time in YEARS (don't forget, 12 months per year)

1. I=640*0.03*2=$38.4

2. I=1500*0.0425*4=$255

3. I=580*0.02*(6/12)=$5.80

5. I=1200*0.039*(8/12)=$31.2

6. I=290*0.125*(6/12)=$18.125

7. I=75*0.125*(1/12)=0.78125, in 1 month, in interest

8. 3000, 2 years,
 450=3000*2*r,
 450=6000*r,
 divide both sides by 6000
0.075=r
7.5%=rate

9.
a. 630=4200*r*3
630=12600*r
divide both sides by 12600
0.05=r
5%=rate

b. 5000 total
5000-4200=800
I=800
800=4200*r*4
800=16800*r
divide both sides by 16800
0.04761=r
4.761%=rate needed
6>4.7
yes
Mathematics
Step-by-step answer
P Answered by Master

Step-by-step explanation:

1- Order in descending order the following polynomial with respect to the

variable n. Then identify the independent term:

6n^3 + 7n^4 - 2n^2 - 5 + 9n^5

The independent term is - 5.  

3- Look at the following polynomial and identify what the terms are

similar:

- 8 + 3m^3 n - 4m^2n + 7mn^2 - 11nm^3 + 6 m^2 n

The similar terms are + 3m^3 n and - 11 nm^3 and

- 4 m^2 n and 6 m^2 n

Mathematics
Step-by-step answer
P Answered by PhD
I=PRT
I=interest
P=principal=amount  you invested
R=rate in decimal, don't forget to convert percent to decimal
T=time in YEARS (don't forget, 12 months per year)

1. I=640*0.03*2=$38.4

2. I=1500*0.0425*4=$255

3. I=580*0.02*(6/12)=$5.80

5. I=1200*0.039*(8/12)=$31.2

6. I=290*0.125*(6/12)=$18.125

7. I=75*0.125*(1/12)=0.78125, in 1 month, in interest

8. 3000, 2 years,
 450=3000*2*r,
 450=6000*r,
 divide both sides by 6000
0.075=r
7.5%=rate

9.
a. 630=4200*r*3
630=12600*r
divide both sides by 12600
0.05=r
5%=rate

b. 5000 total
5000-4200=800
I=800
800=4200*r*4
800=16800*r
divide both sides by 16800
0.04761=r
4.761%=rate needed
6>4.7
yes
Mathematics
Step-by-step answer
P Answered by PhD

Part 2) Option b. 5.4

Part 3) Option c. 8

Part 4) Option a. 15

Part 5) Option d. 8.9

Step-by-step explanation:

Part 2) Find the value of x to the nearest tenth

we know that

x is the radius of the circle

Applying the Pythagoras Theorem

x^{2}=3.6^{2}+(8/2)^{2}

x^{2}=28.96

x=5.4\ units

Part 3) Find the value of x

In this problem

x=8

Verify

step 1

Find the radius of the circle

Let

r -----> the radius of the circle

Applying the Pythagoras Theorem

r^{2}=8^{2}+(15/2)^{2}

r^{2}=120.25

r=\sqrt{120.25}

step 2

Find the value of x

Applying the Pythagoras Theorem

r^{2}=x^{2}+(15/2)^{2}

substitute

120.25=x^{2}+56.25

x^{2}=120.25-56.25

x^{2}=64

x=8\ units

Part 4) Find the value of x

In this problem

x=OP=15

Verify

step 1

Find the radius of the circle

Let

r -----> the radius of the circle

In the right triangle FPO

Applying the Pythagoras Theorem

r^{2}=15^{2}+(40/2)^{2}

r^{2}=625

r=25

step 2

Find the value of x

In the right triangle RQO

Applying the Pythagoras Theorem

25^{2}=x^{2}+(40/2)^{2}

625=x^{2}+400      

x^{2}=625-400

x^{2}=225

x=15\ units

Part 5) Find the value of x

Applying the Pythagoras Theorem

6^{2}=4^{2}+(x/2)^{2}

36=16+(x/2)^{2}

(x/2)^{2}=36-16

(x/2)^{2}=20

(x/2)=4.47

x=8.9

Computers and Technology
Step-by-step answer
P Answered by PhD

The answer to this question is "15 line".

Explanation:

A function is a block of ordered, portable code used to perform a single, connected operation. The syntax of function declaration can be given as:

Syntax :

returntype functionName(parameter1, parameter2); //function prototype

or declaration

returntype functionName(parameter1, parameter2) //function definition or header of the function  

{  

//function body.

//function implementation

 //return value;

}

In the given question the header of the showDub function is on line 15.

That's why the answer to this question is "15 line".  

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