Which is an equation of the line that passes through the points (–6, 3) and (2, 7)?

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Explanation:

Point H is at (-2,2) and J is at (4,-2)

Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.

The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.

The midpoint is at (1,0). That's why the answer is choice C.

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This next section is optional.

Points I and K are located at (4,3) and (-2,-3) respectively

Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1

Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0

We end up with the same midpoint (1,0)

The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

Smallest to largest:

The circle with a diameter of 19

The circle with a circumference of 87.92

The circle with the area of 1,040.09

The circle with the radius of 27

Step-by-step explanation:

-The formula for the area is pi x r^2

-The diameter is double the radius, meaning divide it by 2 to get the radius.

-The formula for a circumference is 2 x pi x r meaning, do the reverse to get the radius. (87.92 divided by pi and then by 2 gives you the radius.)

-pi is equal to 3.14

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Answer:

I hope this helps

Step-by-step explanation:

Answer:

He needs 80 cups.

Step-by-step explanation:

$12/$.15(profit from every cup) =80

Therefore, the 90% confidence interval for p is approximately (0.4959, 0.5375) that is option B.

To calculate the 90% confidence interval for the proportion (p) of registered voters who would vote for the Republican candidate, we can use the formula:

Confidence interval = p ± z * √((p(1-p))/n)

where:

p is the sample proportion (620/1200 = 0.5167),

z is the z-score corresponding to the desired confidence level (90% corresponds to a z-score of approximately 1.645),

n is the sample size (1200).

Substituting the values into the formula:

Confidence interval = 0.5167 ± 1.645 * √((0.5167*(1-0.5167))/1200)

Calculating the confidence interval:

Confidence interval ≈ 0.5167 ± 1.645 * √(0.2497/1200)

Confidence interval ≈ 0.5167 ± 1.645 * 0.0126

Confidence interval ≈ 0.5167 ± 0.0208

Confidence interval ≈ (0.4959, 0.5375)

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Answer:

6 Meters

Step-by-step explanation:

If the car is driving at a constant velocity of 36 m/s and accelerates at -6.0 m/s ^2 to a stop, then the distance of the car decelerates to a stop in 6 seconds.

a=v/t ->>> 6= 36/t

If the total charge for yogurt is dependent on the base price of the bowl of yogurt plus the number of toppings added, the value of y at the y-intercept of the line representing this situation is  C $4.00

The y-intercept of a line is the point where the line crosses the y-axis. In this case, the y-intercept is the cost of the bowl of yogurt without any toppings. The base price of the bowl of yogurt is $4.00, so the y-intercept of the line representing this situation would have a value of $4.00.

This means that the cost of a bowl of yogurt without any toppings is $4.00. The cost of the bowl of yogurt with toppings is determined by adding the cost of the bowl of yogurt plus the cost of the toppings. Therefore, the y-intercept of the line representing this situation would have a value of $4.00.

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The correct answers are:

a. less a discount to yield 6.20%

d. plus a premium to yield 6.36%

Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.

To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.

a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.

b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.

c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.

d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.

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Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

The total distance traveled by Barbara Jean is given as follows:

24 km.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

When two points have one equal coordinate, the distance is given by the subtraction of the other coordinates.

The distances for this problem are given as follows:

Hence the total distance is given as follows:

8 + 10 + 6 = 24 km.

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Manav can cover 1 mile of the distance in just 12 minutes.

The unit rate can be expressed in any unit for instance minute per mile, miles/hour, etc

if Manav covers 3 miles in 36 minutes, her unit rate in minutes per mile is expressed as:

Unit rate = 36min/3miles

Unit rate = 12 minutes/mile

Here,

This shows that Manav can cover 1 mile of the distance in just 12 minutes.

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The example of real life problems:
1. Real-life example: Using a function to calculate taxi fare based on distance traveled.

2. Helping a friend: Guiding them through examples and providing explanations and resources for solving operations on functions.

The explanation for the above

1. In a real-life scenario, functions can be used to solve practical problems. For example, when calculating the cost of a taxi ride, a function can be defined where the input (distance traveled) is multiplied by the cost per kilometer.

By plugging in the distance value into the function, the output will provide the total cost of the ride. This allows for a systematic and consistent way to determine the fare based on distance.

2. When helping a friend solve operations on functions, it's important to ensure they have a solid understanding of the fundamental concepts of functions.

Once that foundation is established, guiding them through examples is crucial. By explaining each step involved in performing operations on functions, such as addition, subtraction, multiplication, and composition, the friend can gain clarity and build confidence in their ability to solve function-related problems.

Encouraging questions, providing demonstrations, and offering additional resources further support their learning journey. The goal is to empower the friend with the knowledge and skills to independently solve operations on functions.

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Answer:

hope it will help you

Step-by-step explanation:

perimeter of the triangle = 3×side

Answer:

0.6

Step-by-step explanation:

Cos(A) = adjacent / hypotenuse

The adjacent side is the smaller of the two sides making up A that is not the hypotenuse

adjacent = 30

hypotenuse = 50

cos(A) = 30/50 = 0.6

Answer:

This is how you do it by finding the perpendicular and base

Answer:

5 hours

Step-by-step explanation:

she works 5 hours each dinner shift

Answer:

4(2x+3)

Step-by-step explanation:

Because 4 is the GCF

Step-by-step explanation:

x=√(141)

that is the answer

Answer:

x = \(\sqrt{141}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 22² = 25²

x² + 484 = 625 ( subtract 484 from both sides )

x² = 141 ( take square root of both sides )

x = \(\sqrt{141}\)

The sine of the angle based on the information about the cosine is D. ✓91 / 10.

It should be noted that cos is calculated as:

= adjacent / hypothenuse.

This was given as 3/10.

It should be noted that sine = Opposite / Hypothenuse

The opposite will be:

Opp² + Adj² = Hyp²

Opp² + 3² = 10²

Opp² + 9 = 100

Opp² = 100 - 9

Opp² = 91

Opp = ✓91

Therefore, the sine of the angle will be ✓91 / 10

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Answer:

3.64  = x

Step-by-step explanation:

Using tignometry!

As it is an right angle triangle we can use 'tan' function.

therefore:

tan(20) = x/10

tan(20) * 10 = x

3.639702343 = x

3.64  = x

Easy!

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Thanks!

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of x in the given triangle is 3.6 cm.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

\(\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

The tan function for the angle which measures 20° can be written as,

\(\rm Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\tan(20^o)=\dfrac{x}{10}\\\\x = 3.639\approx 3.6\ cm\)

Thus, the value of x in the given triangle is 3.6 cm.

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If a function f is continuous for all x and if f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), then the following statements must be true: Option (b) f'(-1) = 0 and Option (d) the graph of f has a horizontal tangent line at x = 3

Explanation: The relative maximum of a function is the highest point in a particular set, and the relative minimum is the lowest point. If a function f is continuous for all x and has a relative maximum at (-1, 4) and a relative minimum at (3, -2), then the following statements must be true. The value of the derivative will be equal to zero at relative maximum and relative minimum points of the function. In other words, f'(-1) = 0 and f'(3) = 0. Thus, the option (b) is correct. The graph of f has a horizontal tangent line at the relative minimum and maximum points of the function. This implies that the graph of f has a horizontal tangent line at x = -1 and x = 3. Therefore, the option (d) is correct. The graph of f may or may not intersect both axes. There is no proof that the function f will intersect both axes. Therefore, option (e) is incorrect. The point of inflection is a point on a curve where the concavity of the function changes. Since the function f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), there is no certainty that the graph of f has a point of inflection between x = -1 and x = 3. As a result, option (a) is incorrect. Thus, the correct options are (b) f'(-1) = 0 and (d) The graph of f has a horizontal tangent line at x = 3.

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If A is a symmetric matrix, then A³ is also a symmetric matrix.

To prove this, we can use the definition of a symmetric matrix, which is a matrix that is equal to its transpose. In other words, if A is a symmetric matrix, then A = A^T.

Now, let's look at A³:

A³ = A * A * A

We can replace each A with A^T, since they are equal:

A³ = A^T * A^T * A^T

Now, we can use the property that the transpose of a product of matrices is equal to the product of their transposes in reverse order:

A³ = (A^T * A^T * A^T)^T

A³ = (A^T)^T * (A^T)^T * (A^T)^T

Since the transpose of a transpose is the original matrix, we can simplify:

A³ = A * A * A

Therefore, A³ is also a symmetric matrix.

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Answer:

lol its not understanding

Answer: MY answer would be C but I genuinely don't know. I hope I'm right tho.

Step-by-step explanation:

Answer:

11.2

Step-by-step explanation:

The answer is 11.2

11.2*.25=2.8

11.2-2.8=8.4

The square's area is increased by 21 square units, it becomes 100 square units and the original area of the square was 79 square units.

To solve this problem, we can use algebra. Let x be the original area of the square. We know that when we increase the area by 21 square units, we get 100 square units. So we can set up an equation:

x + 21 = 100

To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 21 from both sides:

x + 21 - 21 = 100 - 21

x = 79

Therefore, the original area of the square was 79 square units. To check our answer, we can plug it back into the original equation:

79 + 21 = 100

This is true, so our answer is correct.

In summary, to find the original area of a square when the area is increased by 21 square units and becomes 100 square units, we can use algebra and set up the equation x + 21 = 100, where x is the original area. Solving for x, we get x = 79. Therefore, the original area of the square was 79 square units.

To find the original area of the square, we need to consider the given information: when the square's area is increased by 21 square units, it becomes 100 square units.

Since the area is increased by 21 square units to reach 100 square units, we can calculate the original area by subtracting 21 from 100:

Original Area = 100 - 21
Original Area = 79 square units

So, the original area of the square was 79 square units.

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Answer:

51, 17, 1, -4, -25

Step-by-step explanation:

Hope this helps

Answer:

infinetely many salutions

Answer:

D

Step-by-step explanation:

infinitely many solutions

Answer:

Number 4 is H

Number 5 is B

Step-by-step explanation:

Answer:

The equation of the function is;

y = |x-3| -3

Step-by-step explanation:

Here, we want to give the absolute-value function

For the minimum value to be -3, it means that k is negative

since the domain is the set of all real numbers, then we do not have any undefined value for the range y

So, the equation is ;

y = |x-3| - 3