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Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:


Which statement best describes the relationship between the positions of the two players?


Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answer:

9y

Step-by-step explanation:

\(\bullet\; \tt{(3y)^2} = 3^2y^2 = 9y^2}\)

\(\bullet\; \tt y^{-1} = \dfrac{1}{y}\\\\\bullet\;(3y)^2 \times y^{-1} = 9y^2 \times \dfrac{1}{y } = \dfrac{9y^2}{y}\\\\\\bullet \tt \dfrac{y^2}{y} = y\\\\\tt \bullet \dfrac{9y^2}{y} = 9y\)

Answer:

y = 12

Step-by-step explanation:

2y - 13 = 11

add

2y = 24

divide

y = 12

2y   -   13   =   11

        + 13    + 13

-----------------------

2y   =  24

/2        /2

-----------------------

y      =  12

Answer:

C. All of the above

Step-by-step explanation:

Without specific measurements, it is not possible to provide a detailed answer regarding the dimensions of the triangular play space. Emily and Joe should use appropriate mathematical methods to determine the dimensions and then proceed with their designs accordingly.

Emily and Joe are designing a fenced backyard play space for their children Max and Caroline. They have two designs for a triangular play space and have measured their yard to ensure that either design will fit.
To determine the dimensions of the triangular play space, we need to consider the measurements provided. However, the question does not mention any specific measurements, so it is impossible to provide a detailed answer without this information.
In general, the dimensions of a triangle can be determined using various methods, such as the Pythagorean theorem or trigonometric ratios. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Trigonometric ratios, such as sine, cosine, and tangent, can be used to find the length of the sides or the measures of the angles in a triangle.
Once the dimensions of the triangular play space are determined, Emily and Joe can proceed with their designs. They may consider factors such as the placement of play equipment, safety considerations, and the overall aesthetics of the play space.
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Answer:

3/6 of her clothes are white

2/6 of her clothes are black

Given:

The function is:

\(h(x)=x^2-3x+5\)

To find:

The value of \(h(2x+1)\).

Solution:

We have,

\(h(x)=x^2-3x+5\)

Putting \(x=2x+1\), we get

\(h(2x+1)=(2x+1)^2-3(2x+1)+5\)

\(h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5\)

\(h(2x+1)=4x^2+4x+1-6x-3+5\)

On combining like terms, we get

\(h(2x+1)=4x^2+(4x-6x)+(1-3+5)\)

\(h(2x+1)=4x^2-2x+3\)

Therefore, the required function is \(h(2x+1)=4x^2-2x+3\).

The value of b can be -32 or +32 to ensure that the equation has only one true solution.

The discriminant is the quadratic formula section behind the square root symbol: b2-4ac. The discriminant indicates whether there are two solutions, one solution, or none at all. The "discriminant" is the argument (that is, the contents) of the square root, which is the equation b2 4ac, because by utilizing its value, you may "discriminate" between (that is, determine the difference between) the various solution types.

Here,

The discriminant of the equation is ...

d = b² -4ac

d = b² -4(2)(128)

d = b² -1024

In order for there to be one real solution, we must have d=0. So ...

0 = b² -1024

1024 = b²

±√1024 = ±32 = b

The value of b can be -32 or +32 to cause the equation to have one real solution.

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The missing value is 6.

As per the question, y = -4. Keeping the value of y in the equations to find the value of x.

6x + 7(-4) = 4x + 4(-4)

Performing multiplication on each side of the equation

6x - 28 = 4x - 16

Rewriting the equation with identical values on each side of the equation

6x - 4x = 28 - 16

Performing subtraction on each side of the equation to find the value of x

2x = 12

Shifting 2 to Right Hand Side of the equation

x = 12 ÷ 2

Performing division on Right Hand Side of the equation

x = 6

Hence, the value of x is 6.

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The complete question is -

6x+7y=4x+4y

Complete the missing value in the solution to the equation.

(__,-4)

Answer:

I need the other expressions :l

Step-by-step explanation:

:l

Step-by-step explanation:

in the form

y = mx + c

m is the gradient (or slope) of the line, and c is the y-intercept (the y-value when x = 0).

y = 4x + c

we get c by using the given point coordinates :

-2 = 4×-3 + c = -12 + c

10 = c

so the full equation is

y = 4x + 10

Answer:

x=-11/3

Step-by-step explanation:

The event of Juan choosing at least one blue marker from the bag when randomly selecting 6 markers is certain.

In this scenario, Juan has a total of 7 markers in his bag, with 3 blue markers and 4 red markers. When he randomly chooses 6 markers from the bag, it is certain that he will select at least one blue marker. This is because there are more blue markers (3) than the number of markers he is selecting (6).

To understand why this event is certain, consider the worst-case scenario where Juan selects all 4 red markers first. Even in this case, there will still be 2 markers left in the bag, both of which are blue. Therefore, Juan is guaranteed to choose at least one blue marker when selecting 6 markers from the bag.

Since there are more blue markers available than the number of markers Juan is choosing, it is certain that he will select at least one blue marker. This makes the event of choosing at least one blue marker from the bag when randomly selecting 6 markers a certain event.

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Answer:

b

Step-by-step explanation:

Step-by-step explanation:

v = h(πr^2)

= 13.8 cm (3.14(8.9)^2)

= 3432.32 ~3432.3cm ^3

so the volum of the cub will be 3432.3cm ^3

Answer:

18

Step-by-step explanation:

(1 1/2 ✖ 2 ✖ 3) ➗1/2

Answer: 18

Step-by-step explanation:

first find the volume 1.5x3x2=9

then you take 9 and divide it by 0.5

9/0.5 is 18

Answer: A=91ft

Step-by-step explanation: hope this helped!! :)

Answer:

The total average decrease in the stock after 8 weeks is -10 - 8 = -2 dollars.

Step-by-step explanation:

The probability that a randomly selected score from this normal distribution is less than x = 76 is 0.6915

To find the probability that a randomly selected score from a normal distribution with mean µ = 70 and standard deviation σ = 12 is less than x = 76,

we need to use the standard normal distribution and calculate the z-score corresponding to x = 76, and then look up the corresponding area under the standard normal curve using a standard normal distribution table.

The z-score is calculated as:

z = (x - µ) / σ

z = (76 - 70) / 12

z = 0.5

By using a standard normal distribution table, we can find the area under the curve to the left of z = 0.5, which is 0.6915.

Therefore, the probability that a randomly selected score from this normal distribution is less than x = 76 is 0.6915 or approximately 69.15%.

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Answer:

17% of the bill

Step-by-step explanation:

Well to find the answer to this question we first have to add 35 + 48 to get the total percent of the bill that Michelle and Lori paid.

35 + 48 = 83%

now that we know the percent of the bill that Lori and Michelle are paying we have to subtract that amount by 100% to get the percent of the bill that Patti is paying.

100% - 83% = 17%

So Patti is paying 17% of the bill

If we wanted to go even farther and find out what 17% of the bill was all we would have to do is multiply 45 by 17% or 45 x 0.17

45 x 0.17 = 7.65

So Patti is paying 7 dollars and 65 cents

Answer:

n = 0

Step-by-step explanation:

8 - 0 = 8

8 + 0 = 8

Answer:

thw

the difference of 4 from 12

= 8

Answer:

The answer to this question is 3 and 4.

To find the percentage of all students who like science but not humanities, we need to subtract the percentage of students who chose both science and humanities from the percentage of students who chose science only. 30% of all students like Science but not Humanities.

So, the percentage of students who like science but not humanities is:

41% (students who chose science) - 11% (students who chose both science and humanities) = 30%

Therefore, 30% of all students like science but not humanities.

To find the percentage of students who like Science but not Humanities, we need to subtract the percentage of students who chose both from the percentage who chose Science. Here's the step-by-step explanation:

1. The percentage of students who chose Science: 41%
2. The percentage of students who chose both Science and Humanities: 11%
3. Subtract the percentage of students who chose both from the percentage who chose Science: 41% - 11% = 30%

So, 30% of all students like Science but not Humanities.

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to eliminate the variable y

we have steps are,

1) Divide the second equation by 2. then add the result to the first equation

or

2) Multiply the first equation by 2. then add the result to the second equation

or

3) Multiply the first equation by 4 and the second equation by 6, then subtract the resulting equations.

so the answer is the first three options.

The spot of light, located 5 km from a straight shoreline, is moving along the shoreline at a speed of 3 km/min.

To find the area between the curves f(x) = x²+5x-7 and g(x) = x-12 over the interval [-2, 5], we need to calculate the definite integral of the absolute difference between the two functions.

∫[-2, 5] |f(x) - g(x)| dx = ∫[-2, 5] |(x²+5x-7) - (x-12)| dx

Simplifying the expression inside the absolute value, we get:

∫[-2, 5] |x²+4x+5| dx

To find the area, we evaluate this integral over the given interval [-2, 5].

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Answer:

NMK= 22

Step-by-step explanation:

From N to K equals 177.

N to M equals x

K to M equals to 107

L equals 35

35    177

x        107

it equals to 21.158

Round up to the nearest ones or whole number

The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.

An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.

In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.

Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.

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The total number of ways to make the selection is 363 ways to make the selection.

To form the committee with 8 students, we can either select 8 seniors, 7 seniors and 1 junior, 6 seniors and 2 juniors, 5 seniors and 3 juniors, 4 seniors and 4 juniors, 3 seniors and 5 juniors, 2 seniors and 6 juniors, or 1 senior and 7 juniors.

Since we need to select one of the 8 students as chair, there are 8 possible candidates for this role.

There are different ways to approach this problem, but one common method is to use the combination formula to count the number of ways to select a certain number of seniors and juniors.

We can then add up these numbers to obtain the total number of ways to form the committee. Since the order in which we select the students does not matter, we use combinations instead of permutations.

First, we can select 8 seniors out of 5 by using the combination formula: $\binom{5}{8} = 0$, since we cannot select more students than are available. We can then select 7 seniors and 1 junior by choosing 7 seniors out of 5 and 1 junior out of 3: $\binom{5}{7}\binom{3}{1} = 120$.

Similarly, we can select 6 seniors and 2 juniors, 5 seniors and 3 juniors, and so on. Finally, we add up all these numbers and multiply by 8 to account for the different ways to select the chair. This gives us a total of 363 ways to make the selection.

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