Plot the vertices (-2, -8), (-2, 2), and (8, 2).
What is the last vertex of the rectangle?
What is the area of the rectangle?
square units

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

Answer:

C. 43.00

Step-by-step explanation:

If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.

Answer:

a) velocity

b) displacement

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Answer:

C = 2.75 g

Step-by-step explanation:

The result of the interpretation of the graph:

Spring side weakens the correlation shown in the scatter plot.

The correct option is D.

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

Given:

The mean test score is represented in the scatter plot as a function of the average class size.

This demonstrates that there is a negative link between the mean class size and the mean test score,

with the mean score decreasing as the mean class size increases.

The correct response is:

Spring-side decreases the association displayed in the scatter plot.

However, for Spring side, the mean test score is higher than most other schools with lower class sizes, which is a different outcome than predicted.

Therefore, spring-side weakens the correlation shown in the scatter plot.

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The complete question:

A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatter plot. One school in the report, Spring side Elementary, is labeled in the graph.

Which is a true statement regarding Spring side?

Spring side does not affect the correlation.

Spring side weakens the correlation shown in the scatter plot.

The spring side strengthens the correlation shown in the scatter plot.

Removing Spring side would increase the value of the correlation coefficient.

The scatter plot is attached in the image.

Answer:

26 meters

Step-by-step explanation:

To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters

Answer:

1 / 7

Step-by-step explanation:

Given :

Number of shirts in closet = 10

Number of striped shirt = 5

Number of plaid = 3

Probability of choosing 2 plaid shirts and 2 stripped shirt

Probability = required outcome / Total possible outcomes

Total possible outcomes = 10C4

Required outcome :

2 plaid shirt from 3 = 3C2

2 stripped shirts from 5 = 5C2

Hence,

P(choosing 2 plaid and 2 stripped shirt) :

(3C2 * 5C2) / 10C4

Recall:

nCr = n! / (n-r)!r!

Using calculator :

(3C2 * 5C2) / 10C4

= (3 * 10) / 210

= 30 / 210

= 1 / 7

The expression to illustrate the information when Maria bought the tickets is C = (5 × $20) + ($2 × 5) and the total amount paid is $110.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A mathematical expression shows the value of something by combining numbers, variables, and operators. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing. For instance, the mathematical equation for "4 added to 2" will be 2+4.

From the information, Maria bought 5 tickets for $20 each. Each ticket had a $2 fee.

The expression that can be used to illustrate this will be:

C = (5 × $20) + ($2 × 5)

where C = Total cost

C = $100 + $10

C = $110

Therefore the expression to illustrate the information when Maria bought the tickets is C = (5 × $20) + ($2 × 5) and the total amount paid is $110.

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The slope intercept form of a line containing slope of -2 and y-intercept 4 is: y = -2x + 4.

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (at which line passes the vertical y-axis) and slope (steepness) are instantly visible.

This form is frequently known as the y = mx + b form. One of the line types that is taught in algebra schools the most is this one.

slope intercept form of a line:

y = mx + c

slope m.

c is the y-intercept

Put the values:

y = -2x + 4

Thus,  the slope intercept form of a line containing slope of -2 and y-intercept 4 is: y = -2x + 4.

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Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

18 times 18 equals 324 and the number 18 is being multiplied by itself

The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

Answer:

13,500

Step-by-step explanation:

1925 x 7 = 13,475

13,475

5 and up means round up so we start at the ones place.

13,500

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

m = 25 + 6n

Step-by-step explanation:

To write a function for the amount of money Makayla spent going to the movies during the club, you need to consider two things: the annual registration fee and the discounted ticket price. The annual registration fee is a fixed amount that does not depend on the number of movie tickets Makayla purchases. The discounted ticket price is a variable amount that depends on the number of movie tickets Makayla purchases. You can use a letter, such as n, to represent the number of movie tickets Makayla purchases. Then, you can write an expression for the amount of money Makayla spent on movie tickets, which is 6 times n, or 6n. To find the total amount of money Makayla spent going to the movies during the club, you need to add the annual registration fee and the amount of money spent on movie tickets. This gives you the expression 25 + 6n. You can use another letter, such as m, to represent the total amount of money Makayla spent going to the movies during the club. Then, you can write an equation that relates m and n, which is m = 25 + 6n. This equation is a function that models the amount of money Makayla spent going to the movies during the club as a function of the number of movie tickets she purchased.

Step-by-step explanation:

Median IJK = IM = PN + 2

Median PQR = PN

Therefore, IM = PN + 2

IM = PN + 2

PN = IM - 2

IM = (15 + 9 + PN)/2

PN = (15 + 9 + IM - 2)/2

15 + 9 + PN = 2IM

15 + 9 + IM - 2 = 2PN

25 + PN = 2IM

25 + IM - 2 = 2PN

PN = 2IM - 25

PN = 2PN - 25

3PN = 25

PN = 25/3

IM = PN + 2

IM = 25/3 + 2

IM = 29/3

Therefore, IM = 29/3 and PN = 25/3.

Answer and Step-by-step explanation:

The answer is the second answer choice. y = 2x + 1

By looking at the graph, we see that there is a y-intercept at (0, 1), and it has a positive slope of 2.

#teamtrees #PAW (Plant and Water)

Answer:

(2,-2)

Step-by-step explanation:

3x−6y=18

Step 1: Add -3x to both sides.

3x−6y+−3x=18+−3x

−6y=−3x+18

Step 2: Divide both sides by -6.

\(\frac{-6y}{-6}\) = \(\frac{-3x+18}{-6}\)

y = 1/2x -3

2x+6y=−8

Step 1: Add -2x to both sides.

2x+6y+−2x=−8+−2x

6y=−2x−8

Step 2: Divide both sides by 6.

6y/6 = −2x−8/6

y=−13x+−4/3

Answer: y= −13x+ −4/3

Answer:

-2<=y<=-7

Step-by-step explanation:

Answer:

4

When you divide powers you take them away but when you times them you add them

Answer:

a < -9

Step-by-step explanation:

Its a < -9 because you have to add positive 1 to each side and the a basically means 1a so then it would be 1a < -9. Next you divide 1 on each side and get a < -9.

:)

Answer:

The absolute extrema of the function \(f(x) =x+e^{-3\cdot x}\) on the domain \([-2,2]\) are:

Absolute minimum: \((x, f(x)) = (0.366, 0.700)\)

Absolute maximum: \((x, f(x)) = (-2, 401.429)\)

Step-by-step explanation:

Let \(f(x) =x+e^{-3\cdot x}\) with interval in \([-2,2]\), we can check if the absolute extrema exist by applying First and Second Derivative Test, otherwise we must evaluate the function at lower and upper bounds.

First, we obtain the first derivative of the function, which is later equalized to zero and solved for \(x\):

\(1 -3\cdot e^{-3\cdot x} = 0\)

\(3\cdot e^{-3\cdot x} = 1\)

\(e^{-3\cdot x} = \frac{1}{3}\)

\(-3\cdot x = \ln \frac{1}{3}\)

\(x = -\frac{1}{3}\cdot \ln \frac{1}{3}\)

\(x \approx 0.366\)

Second, we evaluated the second derivative of given function at result above:

\(f''(x)= 9\cdot e^{-3\cdot x}\)

\(f''(0.366) = 9\cdot e^{-3\cdot (0.366)}\)

\(f''(0.366) \approx 3.002\) (Absolute minimum)

The value of the absolute minimum is:

x = 0.366

\(f(0.366) =0.366+e^{-3\cdot (0.366)}\)

\(f(0.366) \approx 0.700\)

Third, we evaluate the function at each bound in the search for absolute maximum:

x = -2

\(f(-2) = -2+e^{-3\cdot (-2)}\)

\(f(-2) \approx 401.429\)

x = 2

\(f(2) = 2+e^{-3\cdot (2)}\)

\(f(2) \approx 2.002\)

The absolute extrema of the function \(f(x) =x+e^{-3\cdot x}\) on the domain \([-2,2]\) are:

Absolute minimum: \((x, f(x)) = (0.366, 0.700)\)

Absolute maximum: \((x, f(x)) = (-2, 401.429)\)

The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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