Refer to the diagram of a sail shown here. The length of the luff is 4 times longer than the length of the foot of the sail. Find the length of the foot and the length of the luff. foot ft luff ft

Answer:

Sas

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

Given

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Answer:

x = -2 or x = 3

Step-by-step explanation:

The answer to your question is C.

Answer:

[tex] \boxed{\sf Perimeter \ of \ rectangle = 2(5x - 2) + 2(3x + 1); 62 \ centimeters} [/tex]

Given:

Length of rectangle (l) = (5x - 2) cm

Width of rectangle (w) = (3x + 1) cm

To Find:

Perimeter of rectangle

Step-by-step explanation:

[tex]\sf \boxed{\sf Perimeter \ of \ rectangle = 2(length + width)} \\ \\ \sf Putting \ value \ of \ length \ and \ with \ in \ the \\ \sf formula \ of \ perimeter \ of \ rectangle, \ we \ get:\\ \sf = 2((5x - 2) + (3x + 1)) \\ \\ \sf = 2(5x - 2) + 2(3x + 1)[/tex]

[tex]\sf Now, \ let's \ find \ the \ value \ of \ perimeter \ of \\ \sf rectangle \ by \ substituting \ x = 4, \ we \ get: \\ \\ \sf Perimeter \ of \ rectangle = 2(5(4) - 2) + 2(3(4) + 1) \\ \\ \sf 5 \times 4 = 20 : \\ \sf = 2( \boxed{20} - 2) + 2(3(4) + 1) \\ \\ \sf 3 \times 4 = 12 : \\ \sf = 2(20 - 2) + 2( \boxed{12} + 1) \\ \\ \sf 20 - 2 = 18 : \\ \sf = 2 \times \boxed{18} + 2(12 + 1) \\ \\ \sf 12 + 1 = 13 : \\ \sf = 2 \times 18 + 2 \times \boxed{13} \\ \\ \sf 2 \times 18 = 36 : \\ \sf = \boxed{36} + 2 \times 13 \\ \\ \sf 2 \times 13 = 26 : \\ \sf = 36 + \boxed{26} \\ \\ \sf = 62 \: centimeters[/tex]

Answer:

C

Step-by-step explanation:

edge2020

Answer: Number of Cavities

Answer:

Step-by-step explanation:

Standard form of the equation is given by:

Ax + By = C

Where

Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.

It is an EXAMPLE of standard form of linear function

NON-EXAMPLE

It is an EXAMPLE of standard form of linear function

It is an EXAMPLE of standard form of linear function

NON-EXAMPLE

NON-EXAMPLE

Answer:

answer in the picture

Step-by-step explanation:

Answer:

A. [tex] x = \frac{5}{p} [/tex]

Step-by-step explanation:

[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]

Answer:

It is either 1 or 0.9

Step-by-step explanation:

COS=. adjacent / hypotenuse

adjacent   =  x

hypotenuse =19

COS= x / 19

cross multiply

x = COS (9)

x=0.91113026

The length of shorter side is 9.5 cm.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Ratio = 1 : 2 : 3

Hypotenuse = 19 cm

The sides are x, 2x and 3x.

x+ 2x + 3x = 180

6x= 180

x= 30 degree

and, 3x= 90 degree

Now, using Trigonometry

sin 30 = y/ 19

y= 19/2

y= 9.5

Hence, the length of shorter side is 9.5 cm

Learn more about Trigonometry here:

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Answer:

x = 28

Step-by-step explanation:

We can use ratios to solve

x           x+10

------ = -----------

42         42+15

Using cross products

42(x+10) = x(42+15)

42x+420 = 57x

Subtract 42x from each side

420 = 15x

Divide by 15

420/15 = x

28 =x

Hey there! :)

Answer:

The 2nd choice.

Step-by-step explanation:

Begin by solving the inequality |g + 2| > 3. There is a negative and positive solution:

g + 2 > 3

g > 1

-(g + 2) > 3

-g - 2 > 3

-g > 5

g < -5

Therefore, the number-line showing solutions LESS THAN -5 and GREATER THAN 1 is the 2nd choice.

**Remember, for '<' and '>' signs without the EQUAL TO, the points are open circles.

Answer:

B)

Step-by-step explanation:

correct on edge test ✅

Answer:

£25

Step-by-step explanation:

Total price- £53.55

Pair of trainers cost- £38 before discount

Discount= 15%

Cost of pair of trainers after discount:

Price of the watch after discount:

Price of the watch before discount:

The discovery of non-Euclidean geometry will be All right angles are equal to one another. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The discovery of non-Euclidean geometry will be

Then the correct option is C.

More about the geometry link is given below.

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Answer: $18.51

Step-by-step explanation:

She paid $50

Her total purchases

$9.99 + $21.50 = 31.49

Change = (50 - 31.49) = 18.51

Answer:

W=2.615

Step-by-step explanation:

9w-36-7w=15w-2

2w-36=15w-2

15w-2w=-36+2

13w=34

w=34/13

W=2.615

Answer:

- 237

Step-by-step explanation:

To evaluate (g ￮ f)(6) , evaluate f(6) and use the value obtained to evaluate g(x), that is

f(6) = 6(6) + 4 = 36 + 4 = 40, then

g(40) = - 6(40) + 3 = - 240 + 3 = - 237

Answer:

First find g o f(x)

= -6(6x +4) + 3

= -36x -24 +3

= -36x -21

g o f(6) = -36(6) - 21

= -216-21

= -237

Hope this helps.

Answer:

(a)Dependent

(b)Both

(c)Independent

Step-by-step explanation:

a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.

(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.

(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.

Answer:

Option D.

Step-by-step explanation:

From the given graph it is clear that it is a parabola along to the x-axis.

Vertex form of a parabola along the x-axis is

[tex]x=a(y-k)^2+h[/tex]

where, (h,k) is vertex.

From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.

[tex]x=a(y-(-3))^2+(4)[/tex]

[tex]x=a(y+3)^2+4[/tex]   ...(1)

The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.

[tex]1=a(-2+3)^2+4[/tex]

[tex]1-4=a(1)^2[/tex]

[tex]-3=a(1)^2[/tex]

Substitute a=-3 in equation (1).

[tex]x=-3(y+3)^2+4[/tex]

Therefore, the correct option is D.

Answer:

E.

Step-by-step explanation:

There are 12 balloons in each package.  Multiply this by the number of packages to get the number of balloons.

Answer:

E. 12p

Step-by-step explanation:

Multiply 12 by the number of packages to get the total number of ballons.

Ex.

If P is 7 :

12 x 7 = 84

84 ballons in total.

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor

(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis

(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis

To find where it will touch the axis set the factor equal to zero and solve .

(x + 2) = 0

Subtract 2 from both sides

x=-2

Answer:

3x² - 9x - 30

Step-by-step explanation:

We use FOIL to multiply (First, Outside, Inside, Last)

Step 1: F

3x²

Step 2: O

6x

Step 3: I

-15x

Step 4: L

-30

Step 5: Rewrite

3x² + 6x - 15x - 30

Step 6: Combine like terms

3x² - 9x - 30

Answer:

[tex]3x^2-9x-30[/tex]

Step-by-step explanation:

Use the FOIL method to solve:

First: [tex]x*3x=3x^2[/tex]

Outer: [tex]x*6=6x[/tex]

Inner: [tex]-5*3x=-15x[/tex]

Last: [tex]-5*6=-30[/tex]

Combining them all, we get:

[tex]3x^2+6x-15x-30=\\3x^2-9x-30[/tex]

Answer:

Nico's method is correct

Step-by-step explanation:

Lauren carelessly forgot to add the negative sign

[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

Answer:

1. 18x^11

2. 3n^7

3. x^9

4.-2s^9

5. 6v^14

6.-3p^6

7. 8b^10

can i get brainliest for this pls :)

Answer:

44

Step-by-step explanation:

Greatest common factor is 4

36 = 4*9

8 = 4*2

36+8 = 4*9 + 4*2

= 4(9+2)

= 4(11)

= 44

Hope it helps ...

Answer:

27

Step-by-step explanation:

Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:

x - 4 + 3x - 4 + 4 = 32

4x - 4 = 32

4x = 36

x = 9

Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.

Answer:

27

Step-by-step explanation:

Answer:

Equation of a line is y = mx + c

where m = slope and c = y intercept

Using point ( -2 , 4) and m = 2

Equation of the line is

y - 4 = 2(x + 2)

y - 4 = 2x + 4

y = 2x + 4 + 4

y = 2x + 8

Hope this helps.

Equation of a line passing through (-2, 4) and slope '2' will be,

y = 2x + 8

Given in the question,

Equation of a line passing through a point (h, k) and slope 'm' is given by the equation,

y - k = m(x - h)

Substitute the values in the given equation,

y - 4 = 2[x - (-2)]

y - 4 = 2(x + 2)

y = 2x + 4 + 4

y = 2x + 8

       Therefore, equation of the line passing through (=2, 4) and slope '2' will be y = 2x + 8

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Answer: 89:100

Step-by-step explanation:

89% out of a possible 100%

So, ratio will be 89:100

Answer:

B= 30; A = 60

Step-by-step explanation:

just that it ur welcome

Answer:

B=60, A=30

Step-by-step explanation:

Answer:

Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.

Step-by-step explanation:

In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x  for the sale of x video games

As we know profit = sale price - cost price

Therefore P(x) = R(x) - C(x)

Or P(x) = (R-C)x = 60x - (12+7x)

P(x) = 60x -12 - 7x

P(x) = 53x -12

Now the profit on selling 20 video games will be

P(20) = 53×20 -12 = 1060 -12 = 1048.