Triangle ABC is situated inside of a green square. The perimeter of the square is 33.6 feet. What is the area of triangle ABC?

Point-slope form is a form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

To write an equation in point-slope form:

We're given:

Solve for the slope (m):

[tex]y-y_1=m(x-x_1)[/tex]

⇒ Plug in the point (f,g) as (x,y):

[tex]g-y_1=m(f-x_1)[/tex]

⇒ Plug in the point (h,j) as (x₁,y₁):

[tex]g-j=m(f-h)[/tex]

⇒ Isolate m by dividing both sides by (f-h):

[tex]\dfrac{g-j}{f-h}=m[/tex]

⇒ Therefore, the slope of the line is [tex]\dfrac{g-j}{f-h}[/tex].

Plug the slope into the general equation:

[tex]y-y_1=\dfrac{g-j}{f-h}(x-x_1)[/tex]

Plug one of the points, (f,g) or (h,j) into the equation as (x₁,y₁):

[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]

There can be multiple answers for this question, depending on what we consider to be (x,y) and what we consider to be (x₁,y₁). This is one of the possible answers, for (f,g) is (x,y) and (h,j) is (x₁,y₁):

[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]

Answer:

8+pi/2

Step-by-step explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

Answer:

see explanation

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y )

applying this rule to the given points , then we obtain

[tex]\left[\begin{array}{ccc}-3&-6&-3\\-3&3&3\\\end{array}\right][/tex]

Answer:

34 cm

Step-by-step explanation:

Keep in mind that the perimeter of a rectangle is the sum of the measures of its sides. This means that the sum of the longer sides and the shorter sides is the perimeter of the rectangle.

Let "L" represent the longer side (length) of the rectangle and "S" represent the shorter side (width) of the rectangle.

⇒ Perimeter of rectangle = L + S + L + S

⇒ Perimeter of rectangle = 2(L) + 2(S)

⇒ Perimeter of rectangle = 2(L + S)

Now, let's substitute the length and the width in the perimeter and simplify.

⇒ Perimeter of rectangle = 2(10 + 7)                                                [L = 10; S = 7]

⇒ Perimeter of rectangle = 2(17)

⇒ Perimeter of rectangle = 34 cm

Answer: 70 cm

Step-by-step explanation: 10 x 7 = 70

hope this helps

Can you please provide the question that goes with the answers? There can be no answer if there isn't a question

Answer:

5/2 or 2 1/2

Step-by-step explanation:

4 x 5/8 = 20/8

20/8 = 10/4 = 5/2 = 2 1/2

Answer:

Step-by-step explanation:

If Abe practiced 30 minutes,

Malik practiced 40 minutes.

It's 30:40 minutes;

3:4

Answer:

-1

Step-by-step explanation:

Given function:  [tex]f(x)=-x^2+4x-3[/tex]

[tex]\implies f(-2)=-(-2)^2+4(-2)-3=-15[/tex]

[tex]\implies f(7)=-(7)^2+4(7)-3=-24[/tex]

[tex]\textsf{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}\quad\textsf{for}\:a\leq x\leq b[/tex]

Therefore, average rate of change over the interval -2 ≤ x ≤ 7

[tex]\implies \textsf{Average rate of change}=\dfrac{f(7)-f(-2)}{7-(-2)}=\dfrac{-24-(-15)}{9}=-1[/tex]

Answer:

Can you put the picture up so we can see the graph?

Answer:

y=x+3

Step-by-step explanation:

The slope of a line passing through the two points P = (x1, y1)and Q = (x2, y2) is given by

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

We have that x1= 3, y1= 6, x2= - 4, y2= - 1

so m = 1

Now, the y-intercept is b=y1-mx1 (or b=y2-mx2, the result is the same).

b=6-(1)(3)

b=3

Finally, the equation of the line can be written in the form

y = mx+b

y=x+3

Answer:

3316

Step-by-step explanation:

Hope it will help you

Answer:

Answer: the equation of the line is y=−3.

Step-by-step explanation:

Since the slope equals 0, then the line is horizontal.

This means that the equation of the line doesn't contain x.

Thus, the equation of the line is y=−3.

Answer:

5x-1=6x-9

5x-1-6x= -9

5x-6x= -9+1

-x= -8

(-1)*(-x)= (-1)*(-8)

x=8

common factors: 1, 2, 4

GCF: 4

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

Not passing through origin (it's cosine)

Period:-

Now

Frequency:-

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{T}[/tex]

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{6}[/tex]

[tex]\\ \rm\dashrightarrow \nu=0.167Hz[/tex]

There are 80% of mangoes which are good condition.

Percentage is a relative value indicating hundredth parts of any quantity.

Given that, A basket contains 40 mangoes out of which 8 are rotten.

Mangoes in total = 40

Number of mangoes which are rotten = 8

Mangoes which are good condition = 40-8 = 32

Percentage of good mangoes = 32/40x100 = 80%

Hence, 80% of mangoes are not rotten.

For more references on percentage, click;

https://brainly.com/question/29306119

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Answer:

the answer is 8.3 it weigh

Answer:

0.3

Step-by-step explanation:

Answer:

6 divided by 20 is 0.3

(your welcome)

Answer: $237

Step-by-step explanation:

Angela: 29 + 19(6 + 8) - 58

= -29 + 19(14) = -29 + 266 = $237

Answer:

x = 1

y = 5

Step-by-step explanation:

x + y = 4 __ (1)

2x + y = 3 __ (2)

equation (1) x 2, (2) x 1

2x + 2y = 8

2x + y = 3

0  + y = 5

y= 5 (ANS)

x + y = 4

x + 5 = 4

x = 5 - 4

x = 1 (ANS)

I HOPE MY ANSWER IS CORRECT IF NOT I APOLOGIZE.

Answer:

B

Step-by-step explanation:

b because everything must cost less than 80 and

< 80 means the unknown number will be less than 80.

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

The required recursive function will  be expressed as an = 3000 + 500n

Given the following parameters

First year salary = $30,000

If it increases by $500 each year, let the number of years be "n", then the increment after "n" years is 500n

The required recursive function will  be expressed as an = 3000 + 500n

Learn more on recursive function here: https://brainly.com/question/489759

Answer:

An unlimited number of lines are parallel to the line described by y = 5x + 2. The requirement is that it is in the form y = 5x + b, b ≠ 2.

Step-by-step explanation:

Altitude (AB) = 9cm

Base (BC) = 12cm

Hypotenuse (AC) = ?

[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]

[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]

Inserting The Values

[tex] \text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15[/tex]

[tex] \therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}[/tex]

Option B= 15cm is the correct answer

Answer:

Amy, Carl, bob

Step-by-step explanation:

Amy = 7 - 0.15 = 6.45

Bob = 7 - 0.30 = 6.70

Carl = 7 - 0.5 = 6.5

Order from least to greatest is:

Amy (6.45)

Carl (6.5)

Bob (6.7)