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aut bowling and took up sailing. His sail for his sailboat is a 45-45-90 Right Triangle. The base of the sail is 6 ft. long. How long is the hypotenu

9514 1404 393

Answer:

  y +3 = 1/2(x +4)

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2

The point-slope form of the equation for a line is ...

  y -y1 = m(x -x1)

Filling in the known values, this is ...

  y -(-3) = 1/2(x -(-4))

  y +3 = 1/2(x +4)

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

T-Ball 52%                   Soccer 48%               Basketball 35%

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x + 12)

f(x) = x^2 + 3x + 12x + 36

f(x) = x^2 + 15x + 36

Answer:    -3

-2x-6=0

-2x=6

x=-3

Step-by-step explanation:

Answer:

You should turn 225 degrees anti-clockwise to face North.

Answer:

2) 81/16

3) 27

Step-by-step explanation:

I used the free app photomath

Answer:

x = 9

y = 3

Step-by-step explanation:

2x + 2y = 24 is the same as x + y = 12

using substitution, x = 12-y

12 - y = 3y

12 = 4y

y = 3

x = 3(3)

x = 9

The value of x + y for the given system of equations 2x+2y= 24 and x=3y will be 12.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given system of equations,

2x+2y= 24

x=3y

Take common 2 from 2x+2y= 24 as

2(x + y) = 24

Divide by 2 into both sides

x + y = 12

Hence "The value of x + y for the given system of equations 2x+2y= 24 and x=3y will be 12".

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Answer:

The family spends 41/60 of its income on these items altogether.

Step-by-step explanation:

Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:

10, 4, 5, and 15 have a common least multiple at 60.

1/10 = 6/60

1/4 = 15/60

1/5 = 12/60

2/15 = 8/60

6 + 15 + 12 + 8 = 41

Therefore, the family spends 41/60 of its income on these items altogether.

Answer:

Step-by-step explanation:

The route makes a right triangle with legs 3 mi and 4 mi, and the hypotenuse of x mi.

Use Pythagorean to find the distance:

Vector Review Practice Answers:

1. B - initial (14,-5); terminal (0,0)

2. A - sqrt(22^2 + 4^2)

3. B - <4,12>

4. D - Yes, the two vectors have the same magnitude and direction.

5. D - Vectors u and v are neither because the angle between the two vectors is not equal to 0 degrees, 90 degrees, or 180 degrees

6. C - approximately 4 mi. at a direction angle of 56 degrees northeast

7. A - approximately 174 mph at a direction angle of 58 degrees northeast

8. A - -200

9. D - W = 59 ft*lbs

10. C - u = 4/5i - 3/5j

Answer:

$90

Step-by-step explanation:

Given data

Given data

Loss= $13.5

Percentage of the loss= 15%

Let the full loss be x

Hence we can find the value of x as

15/100*x= 13.5

0.15x= 13.5

divide both sides by x

x= 13.5/0.15

x= $90

Hence the loss in full is $90

Answer:

5m + 8

Step-by-step explanation:

Dividing by 3 is the same as multiplying by 1/3.

1/3 (15m + 24)

Distribute the 1/3

1/3 * 15m = 5m

1/3 * 24 = 8

5m + 8

Answer:

A. (0,4)

B. ( 0,-3)

C (-1,1)

Step-by-step explanation:

Answer:

Q (0,1) H (3,5) J (5,3)

Step-by-step explanation:

Anytime you rotate a shape around the origin, the numbers in the coordinates become their opposites.

(x,y) becomes (-x,-y).

So, (0, -1) becomes (0,1).

(-3,-5) becomes (3,5).

And, (-5, -3) becomes (5,3).

Answer: Here you go, hope this helps.

Step-by-step explanation:

Answer:

reflection over the x-axis bc y changed

Step-by-step explanation:

Answer:

$182.25

Step-by-step explanation:

You just times the per hour to the amount of hours. Hope this helps

Answer:

2, 1 and -3

Step-by-step explanation:

Given the quadratic expression

x^2+2x = 3

Write in standard format

x^2+2x-3 = 0

Get the value of a, b and c

The standard form is ax^2+bx+c = 0

ax^2 = x^2

a = 1

bx = 2x

b = 2

c = -3

Substitute into the general formula

x = -b±√b²-4ac/2a

x = -2±√(2)² - 4(1)(-3)/2(1)

The correct values are the values in bold format

9514 1404 393

Answer:

  -10

Step-by-step explanation:

The first step is to write what you mean. We think you mean (-1000)^(1/3).

If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...

  -1000 = (-10)^3

Then your expression is ...

  (-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10

__

Some calculators can evaluate this for you (see attached).

Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:

  (-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10

_____

Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.

Answer:

59m

Step-by-step explanation:

Length= 3 × ( width)

But perimeter= 2width + 2 Lenght= 472

Let length= X

Width= Y

X= 3Y.........eqn(1)

2X + 2Y= 472........eqn(2)

Substitute X= 3Y in eqn(2)

2(3Y) + 2Y = 472

6Y + 2Y= 472

8Y= 472

Y= 59 m

Hence, the width of the pool is 59 m

Answer:

the second graph (c)

Step-by-step explanation:

The curve is passing through (0, 2) and (0, -3). Then the correct option is B.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The zeroes of the polynomial function are 2 and -3.

The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.

The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).

Thus, the correct option is B.

More about the polynomial link is given below.

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Answer:

B(-1/2)

Step-by-step explanation:

So remember, the slope is y2-y1/x2/x1. Note that y2 means the second y adn x2 means the second x.

So lets plug in our numbers for the top of our fraction, y2-y1. This is 0- - 2.

You should get postive 2, since -- equals a + so it would be 0+2 equaling 2.

This is your y value of your slope.

Next lets find the x value of the slope.

Lets plug in our numbers for the bottem raction this time, which is x2-x1. This is 1-5.

You should get negative 4, since 1-5 equals -4.

This is the x value of the slope.

Knowing your y and x value of the slope, we can tell that the slope will be:

2/-4

This can be simplyfied to -1/2. Since 2 goes into 2, 1 time(for y). Then 2 goes into -4, -2 times(for x). So now its 1/-2.

The negative sign can just be moved to the front since it is the only negative and does not change:

Answer:

-1/2

Answer:

No, Pythagorean Theorem can't be used here for finding the missing sides of the triangle.

Because Pythagorean Theorem is used in triangles having one of its sides right angled but here in the diagram non of the sides of the triangle are right angled .

Answer:

NO

Because pythagorean Theorem is used to find the missing side in the triangle if the other sides are there

The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,

⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]

Given that,

Graph of the equation of the line shown in the image.

Use the formula,

The equation of a line in point-slope form passing through the points

[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Let us take two points on the graph, which are (4, 1) and (0, 2).

Here, [tex](x_1 , y_1) = (4, 1)[/tex]

And,  [tex](x_2 , y_2)= (0, 2)[/tex]

So, the slope of the line is,

[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]

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

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

Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]

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Answer:

7/100

Step-by-step explanation:

two decimal places so 100

Answer:

The graph is attached

Step-by-step explanation:

Answer:

y = -2x - 3

Step-by-step explanation:

**hopefully the picture helps it to make sense**

good luck

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

The proportion of arriving customers that get taxis is:

= 33%.

Step-by-step explanation:

Rate of arrival of taxis = 1 per minute

In one hour, the number of taxis arriving = 60 (60/1)

Rate of arrival of customers = 3 per minute

In one hour, the number of customers arriving = 180 (60 * 3)

The proportion of arriving customers that get taxis = 60/180

= 0.333

= 33%

b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive.  Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.

Step-by-step explanation:

Hope this helped. X axis is horizontal and Y axis is Diagonal.

Answer:

10

Step-by-step explanation:

Answer:

67.

Step-by-step explanation:

67 appeared three times while everything else appeared only twice.