identify the requested point and justify by analyzing an appropriate derivative

Area of a triangle formula: 1/2 x base x height

Area = 1/2 x 2 x 3.8

Area = 3.8 square km

Answer:

The area of triangle = 3.8km²

Step-by-step explanation:

Given :-

A triangle having length of base is 2km and length of height is 3.8km.

To find :-

Solution :-

We know that ,

Area of triangle = ½ × Base × height

Area of triangle = ½ × 2km × 3.8km

Area of rectangle = ½ × 7.6km²

Area of triangle = 3.8km²

Answer:

26

Step-by-step explanation:

All I did was 60-8

(52)

Then 52/2

26

Answer:

26

Step-by-step explanation:

1) A number is doubled. This number will be represented by X.

8 + (X • 2) = 60

2) Subtract 8 from both sides of the equation

(X • 2) = 60 - 8

3) Simplify the equation

X • 2 = 52

4) Divide each side of the equation by 2

X = 52 ÷ 2

     52 ÷ 2 = 26

5) Simplify the equation

X = 26

The slope of the line passing through the points (-5, -4) and (-13, 2) is -3/4.

Slope is simply expressed as a change in y over the change in x.

It is expressed as

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Given the points:
(-5, -4) and (-13,2)​

Point (-5, -4):

x₁ = -5

y₁ = -4

Point (-13,2)​:

x₂ = -13

y₂ = 2

Plug the given x and y values into the slope formula and simplify.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2 - (-4)}{-13 - (-5)}\\\\m = \frac{2 + 4}{-13 + 5}\\\\m = \frac{6}{-8}\\\\m = -\frac{3}{4}\)

Therefore, the slope of the line is -3/4.

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The z-score corresponding to a score that is 12 points above the mean is 2.

The z-score is a numerical measurement used in statistics to determine the sample data value's relationship to the mean of a group of values, measured in terms of standard deviation from the mean. It is measured as the difference of the sample data value and the sample mean over the standard deviation, such that

z-score = (x – μ) / σ

where x = sample data value

μ = mean

σ = standard deviation

If the sample score is 12 points above the mean, then (x – μ) = 12.

(x – μ) = 12

σ = 6

Substitute the values to the z-score formula.

z-score = (x – μ) / σ

z-score = 12/6

z-score = 2

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\(\huge\text{Hey there!}\)

\(\large\text{The DISTRIBUTIVE PROPERTY formula is}\downarrow\\\large\textsf{a(b + c)}\\\large\textsf{= a(b) + a(c)}\\\large\textsf{= ab + ac}\)

\(\large\text{Now that we have the formula, we can solve for your question/answer.}\)

\(\large\text{YOUR EQUATION: \underline{\underline{\textsf{-6(3x - 4)}}}}}\\\\\large\textsf{= -6(3x) - 6(-4)}\\\large\textsf{= -6(3x) + 6(4)}\\\large\textsf{= -18x + 24}\\\huge\boxed{\rm{Therefore, your\ answer\ is: \mathsf{-18x + 24}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer: 30 degrees

Step-by-step explanation: Vertical angles are always congruent. If Angle A and Angle B are vertical then they are equal to each other. They both will way thirty degrees.

Answer:  The slope-intercept form is y = -2x + 10

Step-by-step explanation:

Step 1: The y-intercept is the point where x=0, so that is (0,10)

Step 2: Use the points (-2,14) and (-1,12) to find the slope

Slope (m) = ΔY/ΔX = -2/1 = -2

Step 3: The slope-intercept form is:

y = mx+b

y = (step 2 value) x + (step 1 value)

y = -2x+10

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Answer:

-12 is the answer.

Step-by-step explanation:

-12 - (-5) = -7

The two negative one right after another turns into a plus, or +.

-12 + 5 = -7

Think of 5 positive things and -12 negative things.

O O O O O

P  P  P  P  P  P  P  P  P  P  P  P

5 of the positive things will cancel out 5 of the negative things, leaving behind 7 negative things.

#teamtrees #WAP (Water And Plant)

Answer:

\(6x+15\)

Step-by-step explanation:

\(2\left(3x\right)+7+8\)

\(\mathrm{Add\:the\:numbers:}\:7+8=15\)

\(=2\cdot \:3x+15\)

\(\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6\)

\(=6x+15\)

Hence, the correct answer is:  \(6x+15\)

Answer:

\(\huge\boxed{\sf{6x+15}}\)

Step-by-step explanation:

Hello.

Let's solve this problem.

First, multiply 2 times 3x:

6x

Now, add 7 plus 8:

15

Write the expression:

6x+15

Can this expression be simplified any further?

No.

Why?

Because variables and constants are not like terms.

In this case, the variable is x, and the constant is 15.

I hope it helps

Have a nice day.

\(\boxed{imperturbability}\)

With these three pieces of information, you can apply the SAS Similarity Theorem to conclude that the triangles are similar.

To use the Side-Angle-Side (SAS) Similarity Theorem to prove that two triangles are similar, you would need the following information:

1. Side-Side Ratio: You need to know that the ratio of the lengths of corresponding sides of the triangles is equal.

2. Angle: You need to know that the included angle between the corresponding sides of the triangles is equal.

3. Side: You need to know that one pair of corresponding sides of the triangles is proportional.

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The player starts with 3 coins

player is a person who plays a game or sport

What is an easy definition of equation

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

The equation c = 3+n represents the number of coins the

player has after winning n levels of a video game. We can s

that the constant term in this is 3.

Since the constant term represents the starting value (or initial

condition), we can infer that the player starts with 3 coins

before winning any levels.

Therefore, the player starts with 3 coins.

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Answer:

24x - 4

Step-by-step explanation:

Perimeter of a table = 2(length + width)

length of Christina's table is the product of 4 and X

Length = 4x

The width of her table is 2 less

than twice the length.

Width = 2(4x) - 2

= 8x - 2

Perimeter of a table = 2(length + width)

= 2{4x + (8x - 2)}

= 2(4x + 8x - 2)

= 2(12x - 2)

= 24x - 4

Perimeter of a table = 24x - 4

The given line is

We need two points to graph a line. Let's find the axis intercepts with x=0 and y=0.

The y-intercept: x=0

The y-intercept is (0,-5).

The x-intercept: y=0

The x-intercept is (-5,0).

Now, we graph these points and draw a straight line.

The real causes of World War I included politics, secret alliances, imperialism, and nationalistic pride.

The nations of Europe were continually vying for dominance and forming alliances in the years preceding the conflict. In 1881, Germany formed an alliance with Italy and Austria-Hungary. All of these nations committed to defending one another in the event that France attacked them. But after that, Italy went and formed a covert alliance with France, declaring they would not support Germany.

In 1892, France and Russia formed an alliance in response to Germany's alliances. Britain and France signed a contract in 1904. France, Britain, and Russia established the Triple Entente in 1907. Germany believed that the strong alliance that surrounded them posed a serious danger to their existence and regional dominance.

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f^-1 is the inverse function of f, which means it maps the range of f back to its domain. In other words, if f maps a to 2, b to 3, and c to 1, then f^-1 maps 1 to c, 2 to a, and 3 to b.

^-1 is defined as follows: For any y in the range of f, f^-1(y) is the set of all x's in the domain of f such that f(x) = y. In this case, the range of f is {1,2,3}, so we need to find f^-1(1), f^-1(2), and f^-1(3).

Since f(a) = 2, we have f^-1(2) = {a}. Similarly, f^-1(3) = {b} and f^-1(1) = {c}. Therefore, f^-1 is the function that maps 1 to c, 2 to a, and 3 to b.

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Answer:

B. -75

Step-by-step explanation:

you count backwards from 5, 27 times

Answer:

the y-intercept is (0,13)

Step-by-step explanation:

The y intercept is (0,b) in the slope-intercept form of y=mx+b

The y-intercept of the line represented by the equation y = 6x + 13 is the point where the line crosses the y-axis. This happens when x=0, so substituting in this value gives us y=13. Therefore, the coordinates of the y-intercept are (0, 13).

In this case, the equation of the line is given as y = 6x + 13. A y-intercept is the point where the line crosses the y-axis. This takes place when x is equal to 0 because at that point, we are solely on the y-axis. Therefore, if we substitute x = 0 into the equation, we obtain y = 6*(0) + 13, which simplifies to y = 0 + 13, so y = 13. Therefore, the coordinates of the y-intercept are (0, 13).

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The axis of symmetry for function

f(x) is x = 8 and for h(x) is x = 3.

We know that the quadratic equation in vertex form is, y = a (x - m)² + n

where (m, n) is the vertex of the parabola.

And, the axis of symmetry is x = m.

Consider function f(x)

f(x) = -4(x - 8)² + 3

This function represents a quadratic equation in vertex form with vertex (8, 3)

So, the axis of symmetry for function f(x) would be x = 8

We know that the axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetrical.

Consider the function h(x)

We can observe that the vertex of parabola is (3, 2)

So, the axis of symmetry would be x = 3.

Therefore, the axis of symmetry for function

f(x) is x = 8 and for h(x) is x = 3.

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The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.

The volume of a cylinder can be calculated using the formula:

\(\[ V = \pi r^2 h \]\)

where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.

In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:

\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)

Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.

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Answer:

C

Step-by-step explanation:

I got it right

Answer:

Nickels; 5 cents

Dimes; 10 cents

Given that she has 30 nickels:

30(nickels) x 5(a single nickel) = $1.50

2.40 - 1.50 = $0.90, those 90 cents leftovers should then be divided by 10 cents because one dime contains 10 cents and you want to figure out how many dimes there are:

90/10 = there are 9 dimes

Answer (assuming it can be written in slope-intercept format):

\(y = -x-6\)  

Step-by-step explanation:

1) First, figure out the slope of the line. We know it has to be parallel to the line y = -x -5. That equation is already in slope-intercept format, represented by the equation \(y = mx + b\). The number in place of \(m\) represents the slope, thus -1 must be the slope of that line.

All lines that are parallel have the same slope, thus -1 is the slope of the new line as well.

2) Next, use the point-slope formula \(y-y_1= m(x-x_1)\) to write the equation of a line. Since \(m\) represents the slope, substitute -1 in its place. Since \(x_1\) and \(y_1\) represent the x and y values of a point the line intersects, substitute the x and y values of (-5, -1) into the formula as well. Then, isolate y to find the following answer and equation:

\(y-(-1) = -1(x-(-5))\\y + 1 = -1 (x+5)\\y + 1 = -x -5\\y = -x-6\)

The value of the limit lim x→9 (\(x^{2}\) -  3x - 54) / (-9x + 81), is 15 / -9, which simplifies to -5/3.

To evaluate the limit

lim x→9 (\(x^{2}\) - 3x - 54) / (-9x + 81),

We can substitute the value x = 9 into the expression and see if it yields a valid result. However, if the expression takes on an indeterminate form of the type 0/0 or ∞/∞, we need to apply further algebraic manipulation or use limit theorems to evaluate the limit.

Let's substitute x = 9 into the expression

(\(9^{2}\) - 3(9) - 54) / (-9(9) + 81).

Simplifying the numerator and denominator

(81 - 27 - 54) / (-81 + 81),

= 0 / 0.

Since we obtained the indeterminate form of 0/0, we can apply algebraic manipulation or use limit theorems to evaluate the limit.

One approach is to factorize the numerator and denominator and simplify the expression further

(\(x^{2}\) -  3x - 54) / (-9x + 81) = [(x - 9)(x + 6)] / [-9(x - 9)].

Canceling out the common factor of (x - 9)

(x + 6) / -9.

Now, we can substitute x = 9 into the simplified expression:

(9 + 6) / -9 = 15 / -9.

Therefore, the value of the limit lim x→9 (\(x^{2}\) -  3x - 54) / (-9x + 81), is 15 / -9, which simplifies to -5/3.

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The parametric equation of the line that passes through the points (5,2,7) and (8,–6,1) is \(\vec r= < 5,2,7 > +\lambda < 3,-8,-6 >\)

Also, the point (17,–30,31) does not lie on the line.

for given question,

We need to find the parametric equation of the line that passes through the points (5,2,7) and (8,–6,1)

Let \(\vec r_0= < 5,2,7 >\)

and

\(\vec v= < 8-5,-6-2,1-7 > \\\\\vec v= < 3,-8,-6 >\)

where vector v is the direction vector.

So, the equation of the line would be,

\(\vec r=\vec r_0+\lambda \vec v\\\\\vec r= < 5,2,7 > +\lambda < 3,-8,-6 >\)

Now we need to determine whether the point (17, -30, 31) is on the line.

Let \(< 17,-30,31 > = < 5,2,7 > +\lambda < 3,-8,-6 >\)

For first component,

⇒ 17 = 5 + 3λ

⇒ 3λ = 12

⇒ λ = 4

For the second component,

⇒ -30 = 2 - 8λ

⇒ -8λ = -32

⇒ λ = 4

For third component,

⇒ 31 = 7 - 6λ

⇒ -6λ = 24

⇒ λ = -4

since the values of the λ are not consistent, the point (17,–30,31) does not lie on the line.

Therefore, the parametric equation of the line that passes through the points (5,2,7) and (8,–6,1) is \(\vec r= < 5,2,7 > +\lambda < 3,-8,-6 >\)

Also, the point (17,–30,31) does not lie on the line.

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Answer:

MYSTREET AND MY INNER DEMONS YES

Step-by-step explanation:

watch them