Simplify completely*******​

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

In this situation a = 1, b = 2

[tex]1^{2} + 2^{2} = c^{2}[/tex]

1 + 4 = [tex]c^{2}[/tex]

5 = [tex]c^{2}[/tex]

c = [tex]\sqrt{5}[/tex]

This is an important mathematical theorem to know. It's called the Pythagorean Theorem.

Answer:

If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

Step-by-step explanation:

The information that important for proving two triangles are same by SAS is as follows:

Learn more: brainly.com/question/17429689

Use the given functions to set up and simplify PM

M =

PA =

8x - 1

M=

2x + 17A

PM=

Se representa algebraicamente como (x - a) 2 + (y - b) 2 = r2 donde el centro del círculo es el punto (a, b) y tiene un radio r. En el plano complejo un ...

Answer: Factoring  x2+8x+17

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +17

Step-1 : Multiply the coefficient of the first term by the constant   1 • 17 = 17

Step-2 : Find two factors of  17  whose sum equals the coefficient of the middle term, which is   8 .

     -17    +    -1    =    -18

     -1    +    -17    =    -18

     1    +    17    =    18

     17    +    1    =    18

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

1

:

 x2 + 8x + 17  = 0

STEP

2

:

Parabola, Finding the Vertex:

2.1      Find the Vertex of   y = x2+8x+17

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is  -4.0000  

Plugging into the parabola formula  -4.0000  for  x  we can calculate the  y -coordinate :

 y = 1.0 * -4.00 * -4.00 + 8.0 * -4.00 + 17.0

or   y = 1.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2+8x+17

Axis of Symmetry (dashed)  {x}={-4.00}

Vertex at  {x,y} = {-4.00, 1.00}  

Function has no real rootsvSolving   x2+8x+17 = 0 by Completing The Square .

Subtract  17  from both side of the equation :

  x2+8x = -17

Now the clever bit: Take the coefficient of  x , which is  8 , divide by two, giving  4 , and finally square it giving  16

Add  16  to both sides of the equation :

 On the right hand side we have :

  -17  +  16    or,  (-17/1)+(16/1)

 The common denominator of the two fractions is  1   Adding  (-17/1)+(16/1)  gives  -1/1

 So adding to both sides we finally get :

  x2+8x+16 = -1

Adding  16  has completed the left hand side into a perfect square :

  x2+8x+16  =

  (x+4) • (x+4)  =

 (x+4)2

Things which are equal to the same thing are also equal to one another. Since

  x2+8x+16 = -1 and

  x2+8x+16 = (x+4)2

then, according to the law of transitivity,

  (x+4)2 = -1

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+4)2   is

  (x+4)2/2 =

 (x+4)1 =

  x+4

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x+4 = √ -1

Subtract  4  from both sides to obtain:

  x = -4 + √ -1

In Math,  i  is called the imaginary unit. It satisfies   i2  =-1. Both   i   and   -i   are the square roots of   -1

Since a square root has two values, one positive and the other negative

  x2 + 8x + 17 = 0

  has two solutions:

 x = -4 + √ 1 •  i

  or

 x = -4 - √ 1 •  i

Answer:

x=27

Step-by-step explanation:

Answer:

h(x)≥ 5

Step-by-step explanation:

If h(x) = x+2

Range is the output value for all input variables x

If x <3

h(x) < 3 + 2

h(x) < 5

Also h(x) = -x+8, if x ≥3

h(x ) = -3 + 8

h(x)≥ 5

Combining both inequalities

h(x)≥ 5

5 ≤ h(x) < 5

Hence the required range is h(x)≥ 5

Answer:

its c

Step-by-step explanation:

i just took the test on plato

Answer:

Each bag had weighed about 1 1/2 (or 1.5) pounds.

Step-by-step explanation:

6 divided by 4 should end in a result of the unit weight 1.5 lbs.

Answer:

3, 4

Step-by-step explanation:

i divided 6 and 8 by 2 and got 3,4

boom magic

Answer:

Step-by-step explanation:

Radius of semicircle = 2 ft

Area of semicircle = 0.5πr² = 0.5π2² = 6.28 sq ft

Area of rectangle = 10 × 4 = 40 sq ft

Total area = 46.28 sq ft

Answer:

46.28

Step-by-step explanation:

Answer:

g(f(x)) =  [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]

Step-by-step explanation:

Explanation:-

Let g(x) = [tex]cos(\frac{x}{2} ) - 3x[/tex]   and f(x) = 2x +5

g(f(x)) = g( 2x +5)

        =  [tex]cos(\frac{2x+5}{2} ) - 3(2x+5)[/tex]

       =  [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]

g(f(x)) =  [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]

Answer: 4.31 point

Step-by-step explanation:

35.75p+6(6)=190 where 35.75p+36=190 35.75p=154 = 4.31 paint

Answer:

The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164

Step-by-step explanation:

Let,

The number of unqualified applicants are interviewed before finding the fourth qualified applicant = x

So,

X be the negative Binomial (n = 4 , P = [tex]\frac{20}{100} = 0.2[/tex] )

As , we know that

P(X = n ) = ⁿ⁺⁴⁻¹Cₙ × (1 - 0.2 )⁴ × (0.2)ⁿ  for n = 0, 1, 2, ....

As we have to find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant

⇒n = 2

∴

P(X = 2 ) = ²⁺⁴⁻¹C₂ × (1 - 0.2 )⁴ × (0.2)²  for n = 0, 1, 2, ....

               = ⁵C₂ × (0.8 )⁴ × (0.2)²  

               = [tex]\frac{5!}{2! (5-2)!}[/tex] × 0.41 × 0.04

               = [tex]\frac{5.4.3!}{2.1! (3)!}[/tex] × 0.0164

               = [tex]\frac{5.4}{2}[/tex] × 0.0164

               = 10 × 0.0164 = 0.164

∴ we get

The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164

Answer:

The equation of the perpendicular bisector of the segment AB is [tex]y = x - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines and slopes:

If two lines are perpendicular, the multiplication of their slopes is -1.

Equation of the perpendicular bisector of the segment AB.

Equation of a line that passes through the midpoint of segment AB and is perpendicular to AB.

Midpoint of segment AB:

Mean of their coordinates x and y. So

(1+7)/2 = 4

(5-1)/2 = 2

So (4,2).

Slope of segment AB:

When we have two points, the slope between them is given by the change in y divided by the change in x.

In segment AB, we have points (1,5) and (7,-1). So

Change in y: -1 - 5 = -6

Change in x: 7 - 1 = 6

Slope: -6/6 = -1

Equation of the perpendicular bisector:

The slope, multiplied with the slope of segment AB, is -1. So

[tex]-1m = -1[/tex]

[tex]m = 1[/tex]

So

[tex]y = x + b[/tex]

Passes through (4,2), which means that when [tex]x = 4, y = 2[/tex]. So

[tex]y = x + b[/tex]

[tex]2 = 4 + b[/tex]

[tex]b = -2[/tex]

So

[tex]y = x - 2[/tex]

Answer:

0.3636363636363636

Step-by-step explanation:

Its a repeating decimal because 4 cannot  be divided by 11

There ya' go :]

Answer:

This statement is false because there are waves and currents which changes because of the moon

Step-by-step explanation:

Answer:

51 cm^2

Step-by-step explanation:

We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.

We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2

Answer:

Negative 8 over 5 comma negative 6 over 5

Answer:

Infinitely many solutions

Step-by-step explanation:

Eq. 1 and eq. 2 are the same line.

Multiply eq. 2 by (-3) to get eq. 1.

Multiply eq. 2 by 3 and add to eq. 1 to eliminate x.

Consistent dependent system of equations, infinitely many solutions.

1.)1x-6y=-15

2.)-4+2y=5

Answer:

A : 3080

Step-by-step explanation:

In order to find volume, you have to multiply all the 3 sides. (Multiply height, length and width)

22 x 10 = 220.

220 x 14 = 3080.

Therefore the volume of the water is 3080 in.

Hope this helps!

Answer:

165 and 166

Step-by-step explanation:

Let two consecutive mile markers be x and x+1.

According to the question,

x+x+1=331

2x = 331-1

2x = 330

x = 165

So, the number be 165 and 166.

Answer:

m=7

Step-by-step explanation:

Answer:

m=7

-8m+3m=-6-9-20

-5m=-35

-35/-5=7

m=7

Figure C appears to have all sides and angles the same.

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.

A regular polygon can have any number of sides, and its name reflects the number of sides it has.

For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.

Thus,

Figure C appears to have all sides and angles the same.

Learn more about regular polygons here:

https://brainly.com/question/24328525

#SPJ5

Answer:

Price is decreased by $3,312

And, the price of the next model is $44,688

Step-by-step explanation:

The computation is shown below:

Given that the current model cost is $48,000

And, there is 6.9% lower than the current model

So, the price would decrease in dollars is

= $48,000 × 6.9%

= $3,312

The price of the next model is

= $48,000 - $3,312

= $44,688

Answer:

-5u-1=4

-5u=5

u=-1

7u+1=-7+1=-6

Step-by-step explanation:

Answer:8

Step-by-step explanation:

Distance = √{(x1-x2)^2+(y1-y2)^2}

=√(64+0)

=8

Answer: x=^2 or x=−^2

Step-by-step explanation: hope this help

b=(50-35) and students=50

b/s=15/50=3/10

Answer:

Step-by-step explanation:

Using first equation in the second gives you

x-3(-2x+1)=11

x+6x-3=11

7x-3=11

7x=14

x=2, making y=-2x+1 become

y=-2(2)+1

y=-4+1

y=-3 so the solution is the point

(2,-3)