The line AB is shown on the grid.
0%
6-
a) Find the gradient of a line
perpendicular to AB.
5-
3-
b) Find the equation of the line
perpendicular to AB and passing
through the midpoint of AB.
B В
+
Х
-B
LE
0
ab
А
2-

Answer:

(a+b) (a-b) =a^2 - b^2

In this question a=2, b=square root of 5

So 2*2=4 square root of 5 times square root of 5 is 5

4-5=-1

Answer:

I believe the answer is -1.

Step-by-step explanation:

So I distributed,

2 x 2 = 4

[tex]-\sqrt{5}[/tex] x 2 = [tex]-2\sqrt{5}[/tex]

[tex]\sqrt{5}[/tex] x 2 = [tex]2\sqrt{5}[/tex]

[tex]\sqrt{5}[/tex] x [tex]-\sqrt{5}[/tex] = -5

4 [tex]-2\sqrt{5}[/tex] + [tex]2\sqrt{5}[/tex] - 5 = ?

the radicals cancel out and 4 -5 = -1

Answer:

13+5 = 18

2-(5+4) = -7

3(2-13) +2(4) = -25

a = -9/2

Step-by-step explanation:

[tex]\int\limits^3_0 {(a f(x) + g(x))} \, dx = 0[/tex]

a(2) + (5+4) = 0

2a = -9

a = -9/2

Answer:

Slope of the line represented by the table is 2.5.

Step-by-step explanation:

For a linear function,

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (0, 12) and (-2, 7) will be,

Slope = [tex]\frac{12-7}{0-(-2)}[/tex]

          = [tex]\frac{5}{2}[/tex]

          = 2.5

Therefore, slope of the line represented by the table is 2.5.

Answer:

C

Step-by-step explanation:

Answer:

282.7 in³

Step-by-step explanation:

The solid is a cylinder

Volume of the cylinder = πr²h

Where,

radius (r) = 3 in.

height (h) = 10 in

Volume = π*3²*10

= π*9*10

= π*90

= 282.743339 ≈ 282.7 in³ (nearest tenth)

The required amount of potassium-42 left after 62.0 hours is 26.5 grams.

Given that,
Potassium-42 has a half-life of 12.4 hours. How much of an 848-gram sample of potassium-42 will be left after 62.0 hours is to be determined.

The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.

Here,
Amount left of the potassium after 62 hours is given as,
A = 848 [1 / 2 ] ⁶²/¹²°⁴
A = 26.5 gram

Thus, the required amount of potassium-42 left after 62.0 hours is 26.5 grams.

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Answer:

5.25

Step-by-step explanation:

1.5 x 1 x 3.5

Answer:

75 kilómetros.

Step-by-step explanation:

Dado que Juan utiliza su bicicleta para hacer deporte, y cada día recorre 10 kilómetros a la mañana y 5 kilómetros a la tarde, para determinar cuántos kilómetros recorre en total al cabo de 5 días  se debe realizar el siguiente cálculo:

(10 + 5) x 5 = X

15 x 5 = X

75 = X

Por lo tanto, Juan recorre 75 kilómetros al cabo de 5 días.

Answer:

The answer for x is 18

Step-by-step explanation:

You may realize that we have not yet discussed the distance around a very important geometric shape: a circle! The distance around a circle has a special name called the circumference. To find the circumference of a circle, we use this formula: C = 2πr

In this formula, π is pronounced “pi,” and is defined as the circumference of a circle divided by its diameter:  

π

=

C

d

. We usually replace π with the approximation 3.14. The letter r represents the radius of the circle.

Let’s see where the formula for circumference comes from. Figure 4 shows a generic circle with radius r.

Answer:

Step-by-step explanation:

An expression is a sort of equation but without any number after the equal to sign

so 2x-7 would be an expression but 3x would not be a expression

3x is just a term

2+7 would also not be an expression because this can be simplified into 9 which is not a expression

2x-7=14 is not a expression cuz it has the equal to sign

-14 is not a expression because its a single number

Answer:

The answer is 4m-1

Step-by-step explanation:

Answer:

2 + m -1 + m

Step-by-step explanation:

Answer:

Critical value ≈ 1.299

Step-by-step explanation:

number of Kidney transplant ( n )  = 49

Determine the critical value for the test

the sample mean = ∑ failure time / n  = 1252.28 / 49 = 25.56

next we determine the standard deviation of the sample

s = [tex]\sqrt{1/(n-1)(xi -X ) ^2}[/tex] = 17.3126

standard error = s / √n  = 17.3126 / 7 = 2.4732

Given  a significance level of 0.1

df (degree of freedom ) = n -1 = 49 - 1 = 48

∝ = 0.1

critical value = 1.299 ( using excel function ; =T.INV(0.90,48) )

Answer:

You just have to put it into Geogebra Classic. It's a great help for this kind of stuff

9514 1404 393

Answer:

  m = 35

  n = 110

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  n° = 180° -70°

  n = 110

Opposite angles in a parallelogram are congruent.

  2m° = 70°

  m = 35 . . . . . . divide by 2°

Answer:

(x+3), (y+9)

Step-by-step explanation:

Adding to x with translate the figure right (subtracting will translate it left), and adding to y will translate it up (subtracting will translate it down).

To get from a point on [tex]y[/tex] to the corresponding point on [tex]y_{1}[/tex], you would move 3 to the right and 9 up, so it would be (x+3), (y+9)

Answer:

Volume of cubical tank = 0.278 yard³ (Approx.)

Step-by-step explanation:

Given:

Length of tank = 1/2 yard

Width of tank = 1/6 yard

Height of tank = 1/3 yard

Find:

Volume of cubical tank

Computation;

⇒ Volume of cubic block = (length)(width)(height)

⇒ Volume of cubical tank = (1/2)(1/6)(1/3)

⇒ Volume of cubical tank = 1/36 yard³

Volume of cubical tank = 0.278 yard³ (Approx.)

Answer: 1/36

Step-by-step explanation: This is the plato answer

Answer:

L = 8yd

Step-by-step explanation:

Volume of a rectangular prism = L × W × H

L×5¾yd×2½yd = 115 yd³

14⅜L = 115

L = 115 ÷ 14⅜

L= 8

Answer:

Piston

Step-by-step explanation:

Because i took the test       ..................................

Answer:

Step-by-step explanation:

To complete the given table we will substitute the output value to calculate the input value.

Given function is,

y = 2x + 4

For output value, y = 18

18 = 2x + 4

2x = 18 - 4

x = 7

For output value, y = 22

22 = 2x + 4

2x = 22 - 4

x = 9

For output value, y = 34

34 = 2x + 4

2x = 34 - 4

2x = 30

x = 15

Therefore, table will be,

       Input (x)                 y = 2x + 4                output

          7                                                              18

          9                                                             22

         15                                                             34

Answer:

I would use chase bank, checking account. they have really good over draft protection.

Answer:

The rule for dividing fractions is you multiply the first fraction by the reciprocal of the second fraction:

Solve for the given:

Correct choice is D

Answer:18/25 1/5 14/25

Step-by-step explanation:

The probability we have to choose 18/25 1/5 14/25.

Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber.

band, records the color, and returns it to the bag. She does this a total of 50 times.

and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.

Based on this information, what is the probability that Ms. Florina will select a blue rubber

band, return it to the bag and then select a green rubber band

Click the arrows to choose an answer from each menu.

It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

Based on the given information, the probability that Ms. Florina will select a blue rubber band is,

Therefore the probability we have to choose 18/25 1/5 14/25.

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Here, as the tangents are given above in variable length with radius of the circle as r = 4.4 cm, we get as

since the sides opposite to the equal angles are always equal we get as,

x-2 = 2x-10

===> -2 +10 = 2x-x

==> 8 = x

hence the measurement of the Tangents is,

putting x = 8

2(8)-10 ==> 16-10 ==> 6 cm

length of each tangent is 6 cm.

Answer:

8

Step-by-step explanation:

2x - 10 = x - 2

2x - x = - 2 + 10

x = 8

Answer:

[tex]\tan(30) = \frac{\sqrt 3}{3}[/tex]

[tex]\tan(60) = \sqrt 3[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find [tex]\tan(30)[/tex] and [tex]\tan(60)[/tex]

The tangent of an angle is calculated as:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(30) = \frac{b}{a}[/tex]

This gives:

[tex]\tan(30) = \frac{3}{3\sqrt 3}[/tex]

3 cancels out

[tex]\tan(30) = \frac{1}{\sqrt 3}[/tex]

Rationalize

[tex]\tan(30) = \frac{1}{\sqrt 3} * \frac{\sqrt 3}{\sqrt 3}[/tex]

[tex]\tan(30) = \frac{\sqrt 3}{3}[/tex]

Similarly;

[tex]\tan(60) = \frac{a}{b}[/tex]

This gives:

[tex]\tan(60) = \frac{3\sqrt 3}{3}[/tex]

3 cancels out

[tex]\tan(60) = \sqrt 3[/tex]

Answer:

6,500

Step-by-step explanation:

Answer:

6500

Step-by-step explanation:

3900 divided by 3 is 1300 which is the cost of 1 shirt, so 1300 times 5 is 6500

Answer: 50in²

Step-by-step explanation:

The area of the ice cream cone will be equal to 50.13 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the semicircle in a two-dimensional plane is called the area of the semicircle.

The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.

Given that the diameter of the semicircle is 6 inches and the height of the triangle is 12 inches.

The area of the cone will be calculated as,

A = Area of semicircle + Area of triangle

A = (1/2)πr² + (1/2) x B x H

A = (1/2) π (3)² + (1/2) x 12 x 6

A = 14.137 + 36

A = 50.13 square inch

Therefore, the area of the ice cream cone will be equal to 50.13 square inches.

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Answer:

Area of cardboard required = 468 cm²

Step-by-step explanation:

Area of the cardboard required = Surface area of the triangular prism

Surface area of the triangular prism = Area of the lateral sides + Area of the triangular sides

Area of the one triangular side = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]

                                                    = [tex]\frac{1}{2}(12)(9)[/tex]

                                                    = 54 cm²

Area of lateral sides = Perimeter of the triangular base × Height

Perimeter of the triangular base = 9 + 12 + 15

                                                     = 36 cm

Now area of the lateral sides = (36) × 10

                                                = 360 cm²

Surface area of the prism = 360 + 2(54)

                                          = 360 + 108

                                          = 468 cm²

Therefore, area of cardboard required for each box = 468 cm²

Step-by-step explanation:

If the figure is a square with a perimeter of 16 inches, then each side of the square is 4 inch in length. Area is found by multiplying the length x the width. For a square, the length and width are the same. A = 16 sq

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Answer:

see explanation

Step-by-step explanation:

so, when a=-3, c is -20. now, to find b when a is -3, plug a (which is -3) into the equation b=4a-5 to get b=-17. so b=-17, c=-20. b is obviously larger (remember the negative sign)

when c is 21, a is 5. plug numbers in to get b=15.

when a is 6, there is no clear value for c, so i'd guess undefined. b however is 19

we can plot the line and the points, for problem 4 and all points above the line means that c is greater than b, and when below it's less than. doing this we get when a is 12, when a is 0, and when a is 5. hope this was clear

Answer:

89 meters per second.

Step-by-step explanation:

That is quite fast!

First, we are given that in 9 sec our falcon has flown 801 meters, let's write an equation for that:

9s = 801

So in order to get s, we divide each side by 9.

Solve!

s = 801/9

s = 89

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