The point slope of a line that has a slope of -2 and passes through point (5,-2) is shown below. Which equation is in slope intercept form?

Answer:

The solution for the inequality is [tex]x \leq 6[/tex].

Step-by-step explanation:

Consider the provided inequality.  

[tex]2x - 1 \leq x + 5[/tex]

Subtract x from both the sides.

[tex]2x -x- 1 \leq x-x + 5[/tex]

[tex]x- 1 \leq 5[/tex]

Add 1 to both the sides.

[tex]x- 1+1 \leq 5+1[/tex]

[tex]x \leq 6[/tex]

Hence the solution for the inequality is [tex]x \leq 6[/tex].

Answer:

Step-by-step explanation:

5+(3q) I think

the correct answer is -4, -6

To find the number of nickels in the piggy bank, you can set up a system of equations based on the total number of coins and the total value of all the coins. By solving this system, you can determine the number of nickels.

To find the number of nickels in the piggy bank, we need to set up a system of equations. Let's use n to represent the number of nickels and d to represent the number of dimes.

The total value of the nickels can be calculated by multiplying the number of nickels (n) by the value of each nickel, which is $0.05. So, the value of the nickels is 0.05n.

The total value of the dimes can be calculated by multiplying the number of dimes (d) by the value of each dime, which is $0.10. So, the value of the dimes is 0.10d.

We can set up two equations based on the given information:

Equation 1: n + d = 33 (total number of coins)

Equation 2: 0.05n + 0.10d = 2.40 (total value of all coins)

Now we can solve this system of equations to find the number of nickels (n).

Multiplying Equation 1 by 0.05 gives us: 0.05n + 0.05d = 1.65

Subtracting Equation 2 from this gives us: 0.05d - 0.10d = 1.65 - 2.40

Simplifying, we get: -0.05d = -0.75

Dividing both sides by -0.05, we find: d = 15

Substituting this value back into Equation 1, we get: n + 15 = 33

Subtracting 15 from both sides, we find: n = 18

Therefore, there are 18 nickels in the piggy bank.

To find the number of nickels in the piggy bank, set up a system of equations and solve. There are 18 nickels in the piggy bank.

To find the number of nickels in the piggy bank, you need to set up a system of equations based on the information given. Let's assume that the number of nickels is represented by 'n' and the number of dimes is represented by 'd'. From the problem, we know that there are 33 coins in total, so we can write the equation 'n + d = 33'. We also know that the value of the nickels, in cents, is 5n and the value of the dimes, in cents, is 10d. Since the total value of the coins is $2.40, we can write the equation '5n + 10d = 240'. Now we can solve this system of equations to find the number of nickels.

To solve the system of equations, we can use the substitution method. Rearrange the first equation to get 'n = 33 - d', and substitute this expression for 'n' in the second equation: '5(33 - d) + 10d = 240'. Simplify the equation to get '165 - 5d + 10d = 240'. Combine like terms to get '5d = 75'. Divide both sides by 5 to get 'd = 15'. Substitute this value of 'd' back into the first equation to find 'n': 'n + 15 = 33', 'n = 18'.

Therefore, there are in the piggy bank.

The equation of the horizontal line that passes through the point ( -2 , 5 ) is

y = 5

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , let the point be A ( x₁ , y₁ )

The value of A ( x₁ , y₁ ) = A ( -2 , 5 )

Now , the slope of the line m is given by

Since , the line is a horizontal line , the slope of the line m = 0

Slope m = 0

Now , the equation of line is given by the equation

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 5 = 0 ( x + 2 )

y - 5 = 0

Adding 5 on both sides of the equation, we get

y = 5

Therefore, the value of A is y = 5

Hence ,

The equation of the horizontal line that passes through the point ( -2 , 5 ) is y = 5

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Answer:

constant of variation(k) is, 250.

[tex]y = \frac{250}{x}[/tex]

Step-by-step explanation:

The inverse variation says that:

[tex]y \propto \frac{1}{x}[/tex]

then, the equation is in the form of :

[tex]y = \frac{k}{x}[/tex]        ....[1] where, k is the constant of variation

As per the statement:

Suppose that y varies inversely with x.

then,

by definition of inverse variation we have;

[tex]y = \frac{k}{x}[/tex]

When x = 2.5 and y = 100 then

Substitute these in [1] we have;

[tex]100 = \frac{k}{2.5}[/tex]

Multiply 2.5 both sides we have;

[tex]250 = k[/tex]

or

k = 250

⇒[tex]y = \frac{250}{x}[/tex]

Therefore, the constant of variation is, 250 and the equation we get [tex]y = \frac{250}{x}[/tex]

Answer:

A. [tex]\angle x[/tex]

Step-by-step explanation:

We have been given measure of three sides of a triangle. We are asked to determine, which angle has the largest measure.

We know that the side of triangle corresponds to its opposite angle. The angle opposite to smallest side will have smallest measure and angle opposite to largest side will have largest measure.

We can see that the measure of largest side of our given triangle is 9 and it is opposite to angle x, therefore, [tex]\angle x[/tex] has the largest measure and option A is the correct choice.

Final answer:

The possible side lengths of a triangle, according to the Triangle Inequality Theorem, must adhere to the principle that the sum of any two sides must be greater than the third side. Option B, with side lengths of 4 cm, 8 cm, and 10 cm, fulfills this requirement and forms a valid triangle.

Explanation:

The question asks which set of side lengths can form a triangle. In order to determine the possible side lengths of a triangle, we must use the Triangle Inequality Theorem. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Now, let's evaluate the options provided:

A. 3 cm, 5 cm, 9 cm: Here, 3 + 5 is not greater than 9, so these sides do not satisfy the theorem.

B. 4 cm, 8 cm, 10 cm: In this case, 4 + 8 is greater than 10, 8 + 10 is greater than 4, and 4 + 10 is greater than 8, satisfying the inequality.

C. 6 cm, 9 cm, 17 cm: For these measurements, 6 + 9 is less than 17, failing to meet the criteria.

D. 8 cm, 10 cm, 18 cm: Here too, 8 + 10 is less than 18, thus not compliant.

Hence, the correct answer is B. 4 cm, 8 cm, 10 cm, as these are the only side lengths that satisfy the Triangle Inequality Theorem and can form a triangle.

in short terms it's b lol

To solve the quadratic equation x^2 + 12x - 13 = 0 by completing the square, follow these steps. The solutions to the equation are x = 1 or x = -13.

To solve the quadratic equation x^2 + 12x - 13 = 0 by completing the square, follow these steps:

To convert 231 miles per hour to kilometers per hour, multiply by the conversion factor of 1.60934, resulting in approximately 371.76 km/h.

The greatest wind speed ever recorded on Earth's surface is 231 miles per hour (mph). To convert this speed into kilometers per hour (km/h), we use the conversion factor that 1 mile is approximately 1.60934 kilometers. Therefore, the speed in kilometers per hour is given by multiplying the speed in miles per hour by this conversion factor.

Here is the calculation:
231 mph  x 1.60934 = 371.75774 km/h.

Approximately, the wind speed would be 371.76 km/h after converting from miles per hour.

Answer:

Ben's house is at point -2

Step-by-step explanation:

Given that Anna lives 2.5 miles to the east of her school, and Ben lives 2 miles to the west of the same school

When Anna draws a map with a number line connecting her house to Ben’s house, with school marked as 0 then to the east would be +2.5

Since Ben lives 2 miles to the west, Ben would be marked as negative -2.

(West denotes negative in number line)

So answer is Ben's house is at point -2

Ben's house is at the point -2 on the map of number line.

A number line is pictorially represented as a horizontal straight line where numbers are placed at equal distance. Usually integers are placed in the number line with negative numbers placed to the left of 0 and positive numbers placed to the right of 0.

Number lines are used in performing basic operations in mathematics such as addition, multiplication, subtraction and division.

Here, it is given that Anna lives 2.5 miles to the east of her school and Ben lives 2 miles to the west of the same school.

So school is a common point here with respect to which both of their distance to house are marked.

On the number line school is at 0.

Anna's and Ben's house lies two opposite sides from the school.

So if one of their houses is at the positive side, the house of other one's will be at the negative side.

Given that, Anna's house is at positive side at the point +2.5.

Then clearly Ben's house will be at the negative side and the point will be -2 since it is 2 miles away from the school.

Hence, Ben's house will be at the negative side of the number line at point -2.

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