Find the area of the triangle. A. 17.7 B. 6.1 C. 8.1 D. 21.4

Answer:

0.99

Step-by-step explanation:

Each representation is matched with its respective average rate of change as follows:

A rate of change is also referred to as slope and it can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.

Mathematically, the rate of change for a function can be calculated by using this expression;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Thus, the average rate of change over the given interval [a, b] is given by:

r = [f(b) - f(a)]/(b - a)

Where:

The interval is [0, 2], so a = 0 and b = 2

Substituting the given parameters into the formula, we have;

r = [f(2) - f(0)]/(2 - 0)

r = [f(2) - f(0)]/2

For the first function h(x), we have:

r = [h(2) - h(0)]/2

When x = 2

h(2) = 2² + 2(2) - 6

h(2) = 4 + 4 - 6

h(2) = 2.

When x = 0

h(0) = 0² + 2(0) - 6

h(0) = 0 + 0 - 6

h(0) = -6.

Evaluating the function, we have:

r = [h(2) - h(0)]/2

r = [2 - (-6)]/2

r = (2 + 6)/2

r = 8/2

r = 4.

For the second function f(x), we have:

Note: The x-intercept is at (2, 0), so x = 2 and f(2) = 0 while its y-intercept at (0, -10), so x = 0, f(0) = -10

r = [f(2) - f(0)]/2

r = [0 - (-10)]/2

r = (0 + 10)/2

r = (10)/2

r = 5.

For the third function g(x), we have:

Note: g(2) = 6 and g(0) = 2 on the graph.

r = [g(2) - g(0)]/2

r = (6 - 2)/2

r = 4/2

r = 2.

For the fourth function j(x), we have:

Note: From the table, x = 2 outputs j(2) = -8 while x = 0 outputs j(0) = 4.

r=[j(2) - j(0)]/2

r = (-8 - 4)/2

r = -12/2

r = -6.

In conclusion, we can infer and logically deduce that each representation is matched with its respective average rate of change as follows:

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10. We will graph the coordinates of the vertices in the plane:

11. From G to H, we can find the ris by looking at the difference between their y-coordinates:

The rise is 3.

12. The difference in x coordinates is:

The run is 2.

13. If we add the rise and the run to J, we get the coordinates of I:

14. We add I(8,4) to the plot and connect the points:

15. We have to calculate the slopes of IH and GJ:

Both slopes have the same value: m_ih = m_jg = 1/6.

16. As the slopes are equal, that tells us that the segments are parallel.

Answer:

gavin gets £51

sarah gets £34

pip gets £51

Step-by-step explanation:

3 + 2 + 3 = 8

136 ÷ 8 = 17, so 1 = 17

gavin = 3 x 17 (51)

sarah = 2 x 17 ( 34)

pip = 3x17 (51)

51+51+34= 136

Answer:

one solution:  x = -3,  y = 26

Step-by-step explanation:

3x + y = 17

x + 2y = 49

If you multiply the first equation by -2 and then add you will eliminate the 'y' term

-2(3x + y) = -2(17)

  -6x - 2y = -34

+    x + 2y = 49

   -5x = 15

     x = -3

-3 + 2y = 49

2y = 52

y = 26

It has been proven that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

We know that in a triangle if one angle is 90 degrees, then the other angles have to be acute.

Let us take a line l and from point P as shown in the attached file, that is, not on line l, draw two line segments PN and PM. Let PN be perpendicular to line l and PM is drawn at some other angle.

In ΔPNM, ∠N = 90°

∠P + ∠N + ∠M = 180° (Angle sum property of a triangle)

∠P + ∠M = 90°

Clearly, ∠M is an acute angle.

Thus; ∠M < ∠N

PN < PM (The side opposite to the smaller angle is smaller)

Similarly, by drawing different line segments from P to l, it can be proved that PN is smaller in comparison to all of them. Therefore, it can be observed that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

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Expressions Between X+5 and X-3

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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The root of x that the expression \((X^{3/8})^{2/3} = x^{32/83}\)   yields is the fourth root of x.

Root of x:

In mathematics, a square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.

To find:

The root of x that the expression \((X^{3/8})^{2/3} = x^{32/83}\)  yields, we can simplify the expression as follows:

\((X^{3/8})^{2/3} = x^{32/83}\)

= \(X^{1/4}\)

Thus,

the expression \((X^{3/8})^{2/3} = x^{32/83}\)  simplifies to x^(1/4).

Therefore, the root of x that the expression \((X^{3/8})^{2/3} = x^{32/83}\)   yields is the fourth root of x.

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Answer:

He told me that he was a nice fellow

I told him that he looked sad and tired

She told me that I was a clever person

She told them that they could pass their exams if they worked hard

Sabnam said that she had gone to the hospital the previous day

Shilpa said that she had been extremely nervous the previous week

Husaain said that they had gone to bed early the previous night

Rahul said that he had not taken a taxi home the previous night

Our final resulting answer will be -5.

To calculate the remainder, first divide the polynomials.

Set up the polynomials to be divided. if there is not a term for every exponent, insert one with a value of 0.

\(\sqrt[x-1]{x^{3}-2x^{2} +3x-7 }\)

Divide the highest order term in the dividend \(x^{3}\) by the highest order term in divisor x.

Multiply the new quotient term by the divisor.

The expression needs to be subtracted from the dividend, so change all the signs \(x^{3}\)+\(x^{2}\).

After changing the signs, add the last dividend from the multiplied polynomials to find the new dividend.

Pull the next terms from the original dividend down into the current dividend.

Divide the highest order term in the dividend -\(x^{2}\) by the highest order term in divisor x.

Multiply the new quotient term by the divisor.

The expression needs to be subtracted from the dividend, so change all the signs in -\(x^{2}\)-x.

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

Pull the next terms from the original dividend down into the current dividend.

Divide the highest order term in the dividend 2x by the highest order in divisor x.

Multiply the new quotient term by the divisor.

The expression needs to be subtracted from the dividend, so change all the signs in -2x+2.

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

The final answer is the quotient plus the remainder over the divisor.

\(x^{2}\)-x+2-\(\frac{5}{x-1}\)

Since the last term in the resulting expression is a fraction, the numerator of the fraction is the remainder.

So, our final answer will be -5.

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Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

the correct answer is option B. V only

Answer:

Step-by-step explanation:

if y = 25 when x = 6 1/4, then when y = 12, that would mean that we divided 25  by 2.0833. So we can do 6 1/4 divided by 2.0833 is the answer which is 3.00004800077.

(i think)

(probably wrong)

Answer:

Don't trust me but I would say B

Answer:

A triangle whose sides form a Pythagorean triple is called a Pythagorean triangle, and is necessarily a right triangle. The name is derived from the Pythagorean theorem , stating that every right triangle has side lengths satisfying the formula a2+ b2= c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.

Step-by-step explanation:

The translation of the graph from y = x² to y = (x - 2)² +1 is describe by - B.   shift of 2 units left and then shift of 1 unit up.

In geometry, a translation is a transfer that occurs either horizontally to a left or right as well as vertically up or down. It may also consist of a mix of the two.

Given data:

Parent function- y = x²

New function -  y = (x - 2)² +1

Thus, the translation of the graph from y = x² to y = (x - 2)² +1 is describe by - B.   shift of 2 units left and then shift of 1 unit up.

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Complete question:

1. Which of the following most accurately describes the translation of the graph from y = x² to y = (x - 2)² +1?

A.  shift of 2 units right and then shift of 1 unit up.

B.   shift of 2 units left and then shift of 1 unit up.

To solve this problem, we can use the principle of inclusion-exclusion.

First, let's find the total number of ways to select n students from a class of 5n:

Total ways = (5n choose n) = (5n)! / (n!*(5n-n)!) = (5n)! / (n!*(4n)!)

Answer:

q1 3 x ^2 − 5 x + 10

q2 1 − y^ 4

q3 exact form: x = − 5 /6

decimal form : 0.83r

q4 1 /2 z^ 2 + 1

Step-by-step explanation:

hope it correct please mark as brainliest if correct

thank you

It should be noted that since Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade, Latanya is correct.

It should be noted that Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. This is right.

On the other hand, Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. This is wrong. In this case, it should be multiplication.

Therefore, it can be seen that Latanya is correct.

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A restaurant has 5 3/8 pitchers of lemonade. Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. Who is correct?

Answer:

\(x > 5.3333.... \\x > 5 \frac{1}{3}\)

Step-by-step explanation:

Given:

\(16(\frac{1}{4} x-\frac{1}{2} ) > 24-2x\)

and (assuming) we are solving for x, first distribute the 16 among numbers in parenthesis:

\(4x-8 > 24-2x\)

add 2x to both sides

\(6x - 8 > 24\)

add 8 to both sides

\(6x > 32\)

divide both sides by 6

\(x > 5.3333.... \\x > 5 \frac{1}{3}\)

Hope this helps! :)

The probability that a dancer performs first in the talent competition can be calculated by dividing the number of favorable outcomes (a dancer performing first) by the total number of possible outcomes (all possible orderings of the acts). The answer is a simplified fraction.

There are a total of 20 acts consisting of 4 instrumentalists, 10 singers, and 6 dancers. Since we want to find the probability of a dancer performing first, we can consider the first act as the dancer, and the remaining acts can be arranged in any order.

The total number of possible orderings of the 20 acts is 20!, which represents the factorial of 20 (20 factorial).

The number of favorable outcomes is 6 * 19!, which means fixing one dancer as the first act and arranging the remaining 19 acts in any order.

Therefore, the probability can be calculated as:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

= (6 * 19!) / 20!

The expression (6 * 19!) / 20! can be simplified by canceling out the common factors:

Probability = 6 / 20

Hence, the probability that a dancer performs first is 6/20, which simplifies to 3/10.

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Answer:

X  Y

0  -2

1   -1

PLEASE MARK BRAINLEIST THANK U

The given linear equation has can have infinite solutions. So the correct option is C infinitely many solutions.

How many solutions does linear equation have?

Equations are classified based on the terms and degree of equation or expression. The classification on the basis of terms is:

Monomial, Binomial, Trinomial or polynomial expressions. On the basis of degree the expressions or equations are classified as Linear, Quadratic and Cubic. The graph of linear equation is represented by a straight line. Linear equation are the equations having one the highest power(degree of the variable) as one.The solutions of linear equations in one or two variables have infinitely many solutions. All the points through which the line passes is a solution to the linear equation.

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Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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Given:

81x = 243x

= 243 / 81x

= 3

x = 3

Answer:

d. y=2x+6

Step-by-step explanation:

the slope is 2 because it goes up 2 over 1 and the y-intercept is 6 because that is where the line intercepts the y-axis

Answer:

D

Step-by-step explanation:

D

Answer:

8km

Step-by-step explanation:

48km / 60 minutes so 48 / 6 = 8

A car runs at a speed of 48 km/hr at 10 minutes.

The Distance?

Speed = 48 km/hr

Time = 10 minutes

Distance = Speed × Time

= Distance = 48 × 10

= Distance = 480 km/hr ✔