4ab (a -b) + b (2b -2a²) for a = 1 and b= -1
simplify it

Answer:

Opposite angles are equal, all add to 360:

10x-7=83

10x=90

X=9

Z = (360-(83*2))

Z = 97

Answer:

18

Step-by-step explanation:

Take the original price and multiply by the percent

45*60%

45*.60

27  - this is the amount of the reduction

Subtract this amount from the original price to get the new amount

45-27

18 - this the new price

Step-by-step explanation:

C + 1 = 2(L-1)

C +1= 2L -2

C- 2L = -3 ......(eq.1)

L+1 = C-1

C- L = 2 .....(eq.2)

by elimination :

C - 2L = -3

C - L = 2

________-

- L = -5

L = 5

C = 2+5 = 7

so, Leo has 5 cars and Charlie has 7 cars

Answer:

Charlie=7, Leo=5

Step-by-step explanation:

cant explain

Answer:

x < 3/14

Step-by-step explanation:

-14x > -3

divide each side by -14

however, whenever multiplying or dividing an inequality by a negative value then you must reverse the inequality symbol

x < 3/14

Answer:

divide by -14:

[tex]x<3/14[/tex]

when you divide by a negative the sign flips

Answer:

n^3-4n^2+5

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

To find the slope through 2 points

m = ( y2-y1)/(x2-x1)

   = ( -4 - -3)/(3 - 3)

    = ( -4+3)/(3-3)

    = -1/0

Since it is a number divided by zero, the slope is undefined

Answer:

76cm²

Step-by-step explanation:

The easiest way to find the area of a compound shape is to break it up into parts. I would divide it into a square and rectangle.

The area of the square is 4 times 4 which equals 16cm.

The area of the rectangle equals 12 times 5 which equals 60cm

Add the two together to end up with 76cm

Answer: [tex](\frac{\sqrt{3} }{2} ,\frac{1}{2} )[/tex]

Step-by-step explanation:

On a unit circle, the sine value is the y-coordinate and the cosine value is the x-coordinate.

Therefore, the coordinates for 30° on a unit circle would be:

(cos 30°, sin 30°)

= [tex](\frac{\sqrt{3} }{2} ,\frac{1}{2} )[/tex]

Respuesta:

3395 L

Explicación paso a paso:

Dado que el tubo contiene 35 L de agua por metro.

Esto significa que el volumen por metro del tubo es de 35 litros.

Longitud total del tubo = 97 metros

Volumen de agua en toda la longitud del tubo:

Volumen por metro * 97

35 L * 97

= 3395 litros

Por lo tanto, peso cuando está lleno = 3395 L

Answer:

1000 I think I Amy be wrong

9514 1404 393

Answer:

  C)  {48, 55, 73}

Step-by-step explanation:

In general, you see which sets of numbers satisfy the Pythagorean theorem. The tedium can be relieved slightly by letting a spreadsheet do the calculations.

The attachment shows us that triangle C is a right triangle.

_____

You may recognize some of the answer choice triples as being "near" some familiar Pythagorean triples:

  {3, 4, 5} × 3 = {9, 12, 15} . . . near A)

  {11, 60, 61} . . . . near B)

  {9, 40, 41} . . . . near D)

The highlighted numbers are the indication that the nearby answer choice is NOT a right triangle.

y = x + 2

Step-by-step explanation:

General formula for any straight line:

y = mx + c

Where

m = gradient

c = constant

m = y2 - y1/x2 - x1

m = (4 - ( -2))/(2 - ( -4))

m = 6/6

m = 1

y = (1)x + c

y = x + c

Substitute any coordinate from the line of the equation.

4 = 2 + c

c = 2

substitute m and c into general formula

y = mx + c

y = x + 2

Answer:

Equation  is : y = x + 2

Step-by-step explanation:

To find the equation of the we need two points through which the line passes.

Let it be (2 , 4) and ( -4 , - 2)

The standard equation of line is : y = mx + b , where m is the slope, b is the

y-intercept.

Step 1 : Find the slope, m

 [tex]slope , m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]                 [tex][ \ where \ (x_1, y _ 1 ) = ( 2 , 4 ) \ , \ (x_2 , y_ 2 ) = ( -4, -2 ) \ ][/tex]

         [tex]m = \frac{-2-4}{-4-2}\\\\ = \frac{-6}{-6}\\\\ = 1[/tex]

Step 2 : Find the equation of the line.

     [tex]( y - y_1) = m(x- x_1)\\\\(y - 4) = 1 ( x - 2)\\\\y - 4 = x - 2 \\\\y = x - 2 + 4 \\\\y = x + 2[/tex]

Answer:

422

Step-by-step explanation:

Large rectangle

A = 2(lw+wh+lh)

A = 2(7*10+10*5+7*5)

A = 310

Small rectangle

A = 136

Now the squares that connect both, 4*3

Since you have 1 on each rectangle, the total area for this is 24

add 310 + 136 and substract 24

Answer:

complementary

Step-by-step explanation:

A and b add to 90 degrees, which makes them complementary

Answer:

quadrant 3

Step-by-step explanation:

only quadrant 3 contains both negative values for x & y

Answer:

III

Step-by-step explanation:

First, remember the order of the quadrants; quadrant I is in the top right corner then the quadrants increase moving counterclockwise. So, the third quadrant is the bottom left. Each quadrant consist of (x,y) values of different signs.

They are as follows:

I - (x,y)

II - (-x,y)

III - (-x,-y)

IV - (x,-y)

Since, (-5,-4) has two negative coordinates, it must be in the III quadrant.

Answer:

x≥11

Step-by-step explanation:

X≥18-7=

x≥11

x>11

Step-by-step explanation:

x+7-7>18-7

or,x>11

Therefore,x>11#

Answer:

(x+4)² + (y-k) ² = 16

Step-by-step explanation:

The equation of the circumference is expressed as;  

(x-h) ² + (y-k) ² = r²

(h,k) is the centre

r is the radius

Given that diameter = 8

radius = 8/2

radius = 4units

Given that h = -4 and k = 2

(x-h) ² + (y-k) ² = r²

(x-(-4)) ² + (y-2) ² = 4²

(x+4)² + (y-k) ² = 16

This gives the required equation

x²+12x+36

x²+6x+6x+36

x(x+6)+6(x+6)

(x+6)(x+6)

(x+6)²

Answer:

x + 6

Step-by-step explanation:

Answer/Step-by-step explanation:

Volume of a cone = ⅓*π*r²h

Where,

Radius (r) = 7 mm

Height (h) = 8 mm

Plug in the value into the equation

V = ⅓*3.14*7²*8

V = ⅓*3.14*49*8

V = 410.293333

V ≈ 410.3 mm³ (nearest tenth)

Answer:

The remainder will be 6.

Step-by-step explanation:

We have the function:

[tex]f(x)=x^4-2x^3-27x^2-9x+18[/tex]

And we want to find the remainder after it is divided by the binomial:

[tex]x+4[/tex]

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Here, our divisor is (x + 4). We can rewrite this as (x - (-4)).

Therefore, a = -4.

Then according to the PRT, the remainder will be:

[tex]f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6[/tex]

The remainder will be 6.

Answer:

Step-by-step explanation:

You could do this step by step.

The first year is left alone: 90,000 kt

The second year is 90000 * 0.96 That represents a 4% reduction

Second year = 86400

Third year = 86400 * .96 = 82944

Fourth year = 82944 * 0.96 = 79626.24 Here's where you run into your first dilemma. What do you do with that 0.24? The answer is, you round it here, but leave it in your calculator.

Fourth year = 79626

Fifth year = 79626.24 * 0.96

Fifth year = 76441

Sixth year = 79626.1904 * 0.96

Sixth year = 73383.542

Sixth year = 73384

Of course once you have gone through all that, you could do it this way

Sixth year = 90000 * 0.96^(n - 1) = 73383.54 = 73384

Same answer both ways.

I'm going to leave the addition to you.

Sum = a* (r^(n) - 1)/ (r - 1)

Sum = 90000 * (0.96^5 - 1) / (0.96 - 1 ) = 415411 rounded. I think that's right, but check it out.

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

[tex]\displaystyle \frac{\cos y}{1-\sin y}=\frac{1+\sin y}{\cos y}[/tex]

On the left, we can multiply both layers by (1 + sin(y)):

[tex]\displaystyle \frac{\cos y}{1-\sin y}\left(\frac{1+\sin y}{1+\sin y}\right)=\frac{1+\sin y}{\cos y}[/tex]

Multiply:

[tex]\displaystyle \frac{\cos y(1+\sin y)}{1-\sin^2 y}=\frac{1+\sin y}{\cos y}[/tex]

From the Pythagorean Theorem, we know that sin²(y) + cos²(y) = 1. Hence, 1 - sin²(y) = cos²(y). Substitute:

[tex]\displaystyle \frac{\cos y(1+\sin y))}{\cos^2 y}=\frac{1+\sin y}{\cos y}[/tex]

Cancel:

[tex]\displaystyle \frac{1+\sin y}{\cos y}=\frac{1+\sin y}{\cos y}[/tex]

Hence proven.

==========================================================

Explanation:

The volume of the cone is...

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*(1.25)^2*2.75

V = 4.49739583333333

which is approximate.

-----------

The volume of the sphere is

V = (4/3)*pi*r^3

V = (4/3)*3.14*(0.25)^3 ... note the radius is half the diameter

V = 0.06541666666667

which is approximate as well

-----------

Subtract the two volumes to finish things up

4.49739583333333-0.06541666666667 = 4.43197916666667

The result 4.43197916666667 then rounds to 4.43

This is the approximate amount of empty space in the cone that isn't taken up by the spherical gum. The units are in "cubic inches" or "in^3" for short.

Answer:

1. x = 15

2. x = 26

3. x = 7.6157731059 (you can round this answer to 8 or 7.6)

4. x = 11.7

5. x = 25

6. x = 1.4

7. x = 22.5

8. x = 38.4

9. x =  10.3    v = 5.8

For some of them, I had to use estimation.  

I used this formula : a^2 + b^2 = c^2