Suppose you are making a sail in the shape of a right triangle for a sailboat. The length of the longest side of the sail is 65 ft. The sail is to be 63 ft high. What is the length, in feet, of the third side of the sail?

Answer:

A (-4,0), B (0,3) and C (-6,5)

Step-by-step explanation:

The coordinates for A are (-4,-3) B (0,0) and C (-6,2)

From there just add 3 to all theY values

The coordinates of the translated triangle would be A (-4,0), B (0,3) and C (-6,5)

Hope that helps!

Given:

The inequality is:

[tex]y>2x-3[/tex]

The point is (3,3).

To find:

Whether the coordinate pair (3, 3) is a solution to the given inequality or not.

Solution:

We have,

[tex]y>2x-3[/tex]

Check the inequality for the point (3,3). Substituting [tex]x=3,y=3[/tex], we get

[tex]3>2(3)-3[/tex]

[tex]3>6-3[/tex]

[tex]3>3[/tex]

This is a false statement because 3 is not greater than itself.

Since (3,3) does not satisfy the given inequality, therefore (3,3) is not a solution to the given inequality.

Now we can check the solution graphically. From the graph it is clear that the point (3,3) lies on the boundary line.

The boundary line is a dotted line, it means the point on the boundary line are not included in the solution set.

Therefore, (3,3) is not a solution to the given inequality.

Given:

The three points are W(0,-2), I(2,0) and L(5,k).

To find:

The value of k for which the given points are collinear.

Solution:

We know that, three points are collinear if the area of the triangle formed by these three points is 0.

[tex]\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|=0[/tex]

[tex]x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0[/tex]

The three points are W(0,-2), I(2,0) and L(5,k). So,

[tex]0(0-k)+2(k-(-2))+5(-2-0)=0[/tex]

[tex]0+2(k+2)+5(-2)=0[/tex]

[tex]2k+4-10=0[/tex]

[tex]2k-6=0[/tex]

Adding 6 on both sides, we get

[tex]2k=6[/tex]

[tex]k=\dfrac{6}{2}[/tex]

[tex]k=3[/tex]

Therefore, the correct option is E.

Answer:

5

Step-by-step explanation:

To find the slope, you need to solve for y

So subtract 15x from both sides

-3y=-15x+18

Divide by -3

y=5x-6

The slope is 5

Answer:

5

Step-by-step explanation:

Because I is smart

Lol, give other person brainliest, they deserve it

Answer:

$16.40

Step-by-step explanation:

Answer:

$4.29

Explanation:

$11.44 / 8 = $1.43

$1.43 x 3 = $4.29

Answer:

What're the questions??

Step-by-step explanation:

why did this just now show up for me when it was in 2021 bro

Answer:

The area of it is 52 square feet

Answer: no solution

Step-by-step explanation:

Answer:

[tex]\frac{5}{78}[/tex]

Step-by-step explanation:

First, find the probability that the first card is gray.

Since there are 13 cards in total, and 2 are gray, the probability will be 2/13

Next, find the probability that the second card is pink.

Since there are now 12 cards in total (since there is no replacement), and 5 are pink, the probability is 5/12.

Now, to find the probability that these are drawn in order, multiply the probabilities together:

[tex]\frac{2}{13}[/tex] x [tex]\frac{5}{12}[/tex]

= [tex]\frac{5}{78}[/tex]

So, the probability is [tex]\frac{5}{78}[/tex]

1 cc (cubic centimeter) refers to a unit of volume in the metric system. It is equal to one cubic centimeter, which is equivalent to one milliliter (ml).

The abbreviation "cc" is commonly used in medical and scientific contexts to represent small volumes, especially when measuring liquids or medications.

A cubic centimeter (cc) is a unit of volume that is commonly used in the metric system. It is equivalent to a cube with edges measuring one centimeter each. The cubic centimeter is often used to measure the volume of small objects or quantities of liquids.

To better understand the size of a cubic centimeter, it can be visualized as the volume occupied by a sugar cube or a small dice. It is a relatively small unit of volume, and larger volumes are typically expressed in terms of liters or cubic meters.

To know more about cubic centimeter here

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Answer:

1. A, E

2. C

Step-by-step explanation:

1. tan theta = 1/cot theta

  sec theta = 1/ cos theta

2. Sec^2x-1 = tan^2x

   sinx sec x = tanx

   = tan^2x/tanx = tan x

The identities are (a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

As a general rule, we have:

tan(θ) = 1/cot(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

sin^2(θ) + cos^2(θ) = 1

The above means that:

(a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities

We have:

[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]

Express the numerator as tan^2(x)

[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]

The product sin(x)sec(x)  = tan(x).

So, we have:

[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]

Divide

tan(x)

Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

Read more about trigonometry ratios at:

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Answer and Step-by-step explanation:

Simply just adding and subtracting.

8 - 1 - 6 + 5 = 6

-2 + 6 - 3 - 4 = -3

-- 4 is 3 away from 7. The answer is positive 3.

-- The answer is negative 5.

-- The answer is positive 1.

-- The answer is 0.

-- The answer is negative 7.

-- The answer is -25.

-- The answer is 64.

-- The answer is 32.

-- The answer is 80.

-- The answer is -43.

-- The answer is 95.

-- The answer is 26

#teamtrees #PAW (Plant And Water)

Answer:

7x+19

Step-by-step explanation:

Answer:

A. -1

Step-by-step explanation:

To find the slope, subtract the x-coordinates, subtract the y-coordinates, lastly, divide the differences.

(3,1) (4,0)

3 - 4 = -1

1 - 0 = 1

-1 ÷ 1 = -1

-1 is the slope.

Answer:

448

Step-by-step explanation:

Answer:

its not loading?

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

sorry can you format it?

Answer:

y=11/3

Step-by-step explanation:

39 = 6(1) + 9y

39 = 6 + 9y

39 - 6 = 9y

33 = 9y

9y = 33/9

y = 11/3

Answer:

y = 11/3

Step-by-step explanation:

Sometimes it's just how things are written that makes them seem super hard.

R = 6x + 9y is the equation, and then they say what to sub in for x and R. So now we have:

39 = 6(1) + 9y

39 = 6 + 9y

subtract 6 from both sides

33 = 9y

y = 33/9, simplified to 11/3

Step-by-step explanation:

7 (-12) = -84

it's literally -84

Answer:

It's not 5x + 100 = 180,

it's 5x = 180 because they are vertical angles.

x = 36

Answer:

a) 83160

b) 12

Step-by-step explanation:

The prime factors of 840 are 2 x 3 x 5x 7*2*2

Prime factors of 8316 are 2*2*11*3*3*3

a) `Smallest whole number that is divisible by both 840 and 8316

We are supposed to find the LCM of the two numbers which is equal to

2*2*11*5*7*3*3*3*2 = 83160

b) Greatest whole number that will divide both both 840 and 8316

2*2*3 = 12

Answer:

(x+4)x

Step-by-step explanation:

The factor of the expression into an equivalent form x² + 4x would be;  x(x + 4)

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to factor the expression into an equivalent form x² + 4x

This expression could also be given by;

x² + 4x

Then factor out x we get;

x² + 4x =  x(x + 4)

Hence, the expression into an equivalent form x² + 4x would be; x(x + 4)

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Answer:

$1,800

Step-by-step explanation:

Given

Total revenue last year = $2,800

If they spent 1/4 of their revenues on marketing;

Amount spent on marketing = 1/4 * 2800

Amount spent on marketing = $700

Remaining money = 2800 - 700

Remaining money = $2100

If 1/7 of the remaining money is spent on upgrading their facilities, then;

Amount spent on upgrading facilities = 1/7 * 2100

Amount spent on upgrading facilities = $300

Total amount spent on marketing and facilities  = $700 + $300

Total amount spent on marketing and facilities  = $1000

Amount left = $2,800 - $1,000

Amount left = $1,800

Answer:

I think the answer is option C. they are equal]

im not 100% on it tho

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

a "solution" for a system of linear equations is defined as the point(s) of intersection for the two lines.

Parallel lines never touch, so they can never can never intersect

therefore, there are no solutions

hope this helps!

Answer:

i think it's 15%

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation: