The power, P (watts), of a car engine is proportional to the square of its speed, s (m/s).
When s = 35, P = 1760.
Work out the power (to 1 DP) when the speed is 40 m/s

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:

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:

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)

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:

1,2,3,4,5,6,7,8,9, and 10

Step-by-step explanation:

they are the union of A and B.

I think i helped mark me as brainlist.

thank you have a nice day

Use the given functions to set up and simplify PM

M =

PA =

8x - 1

M=

2x + 17A

PM=

Answer:

i dont know

Step-by-step explanation:

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:

The coefficient is 5.

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

Answer:

its c

Step-by-step explanation:

i just took the test on plato

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:

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:

0.3636363636363636

Step-by-step explanation:

Its a repeating decimal because 4 cannot  be divided by 11

There ya' go :]

Answer:8

Step-by-step explanation:

Distance = √{(x1-x2)^2+(y1-y2)^2}

=√(64+0)

=8

Answer:

144

Step-by-step explanation:

6^2 = 6x6 = 36

36 x 4 = 144

Answer:

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

Step-by-step explanation:

Answer: x=^2 or x=−^2

Step-by-step explanation: hope this help

9514 1404 393

Answer:

  9 7/12

Step-by-step explanation:

12 is a suitable common denominator.

  (7 3/4) + (1 5/6) = (7 9/12) + (1 10/12) = (7+1) +(9/12 +10/12)

  = 8 + 19/12 = 9 + 7/12 . . . . . . change 19/12 to 1 7/12

  = 9 7/12

_____

My calculator works with mixed numbers very nicely, as many graphing calculators do.

Step-by-step explanation:

convert the fractions to whole numbers. the first one is:

4 × 7, then add 3, or 31/4.

the second one is 6 × 1, then add 5, or 11/6.

then you have 31/4 + 11/6. then you make a common denominator, which would be 12 (6 and 4 both go into 12).

3 × 31 = 93, so then the first fractions becomes:

93/12

second fraction becomes 11 × 2 = 22, then:

22/12.

so now you have 93/12 + 22/12 = 115/12, or 9 7/12

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:

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

b=(50-35) and students=50

b/s=15/50=3/10

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:

m=7

Step-by-step explanation:

Answer:

m=7

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

-5m=-35

-35/-5=7

m=7

Answer:

-5u-1=4

-5u=5

u=-1

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

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

y - 3 = -(x + 2)

y - 3 = -x - 2

y = -x + 1