Is (6, –21) a solution to the equation y = –5x − –9?

The calculated value of x at g(x) = 2 is x = 2.5

from the question, we have the following parameters that can be used in our computation:

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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We have a data set that includes the test scores of a class.

We can represent this data, as it is univariate, with a box-and-whisker plot. This will let us graph the distribution of the scores.

A circle graph is only applicable if we group the data in classes. The same for the histogram.

They are not suitable for individual data points that are not grouped.

A scatter plot is also not suitable, as it needs ordered pairs. It will show the relation between two variables, and in this case we have only one variable in the data set.

Answer: box-and-whisker plot.

Answer:

Step-by-step explanation:

The two angles must add to 180

(4x-2)+(3x+14)=180

7x+12=180

7x=168

x=24

This is easy math! It's just 51-24! Which is 27!! So, benny spent 27 on the baseball gear! :)

Answer:

34 laps

Step-by-step explanation:

the specific answer is 33.3 but u have to round the whole number

Answer:

5.4

Step-by-step explanation:

square of 29 = 5.385164807

5.385164807 estimated is 5.4

The greatest number of coin in each stack using the GCD principle is 36.

The greatest common divisor (GCD) of 756 and 360. The GCD represents the largest number that divides both 756 and 360 evenly.

Let's calculate the GCD using an algorithm known as the Euclidean algorithm:

Step 1: Divide 756 by 360.

756 ÷ 360 = 2 remainder 36

Step 2: Divide 360 by 36 (the remainder from the previous step).

360 ÷ 36 = 10 remainder 0

Step 3: Since the remainder is 0, the GCD is the divisor from the previous step, which is 36.

Therefore, the greatest number of coins that Suyin can place in each stack is 36.

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Answer:

Step-by-step explanation:

The measure of <1 is 31°.

Two angles are said to be vertical angles when they are formed by two straight lines intersecting at a point. This produces a series of angles of which some are vertical, thus they have equal measure.

In the information given in the question, it was given that <1 and <2 are vertical angles. This implies that they have equal measure, such that;

<2 = 31° (given)

So that;

<1 = <2 = 31°

Thus,

<1 = 31°

Therefore, it can be concluded that the measure of <1 is 31°.

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The midpoint of the Diameter that passes through points A and B. Expression for x into the Equation \(5y^2 - 16hy + 8h^2 + 6yk + k^2 - 89 = 0\), we get:\(5y^2 - 16hy + 8h^2 + 6y\)

The center of the circle, we first need to find the midpoint of the diameter that passes through points A and B. The midpoint of a line segment is simply the average of the coordinates of its endpoints.

The coordinates of point A are (-6, -2) and the coordinates of point B are (-2, -10). The midpoint of AB, which we'll call point M, can be found as follows:

x-coordinate of M = (x-coordinate of A + x-coordinate of B)/2 = (-6 - 2)/2 = -4

y-coordinate of M = (y-coordinate of A + y-coordinate of B)/2 = (-2 - 10)/2 = -6

So, the midpoint M has coordinates (-4, -6).

Now, we know that the center of the circle lies on the perpendicular bisector of AB, which is a line that passes through M and is perpendicular to AB. To find the equation of this line, we first need to find the slope of AB.

The slope of AB can be found as follows:

slope of AB = (y-coordinate of B - y-coordinate of A)/(x-coordinate of B - x-coordinate of A) = (-10 - (-2))/(-2 - (-6)) = -8/4 = -2

Since the perpendicular bisector of AB is perpendicular to AB, its slope is the negative reciprocal of the slope of AB, which is 1/2.

Using the point-slope form of the equation of a line, the equation of the perpendicular bisector passing through M is:

y - (-6) = (1/2)(x - (-4))

y + 6 = (1/2)(x + 4)

2y + 12 = x + 4

x - 2y = -8

Now we have two equations: the equation of the circle and the equation of the line passing through M and perpendicular to AB. We can solve this system of equations to find the coordinates of the center of the circle.

The equation of the circle with radius 5 and center (h, k) is:

\((x - h)^2 + (y - k)^2 = 5^2\)

Substituting (-6, -2) into this equation, we get:\((-6 - h)^2 + (-2 - k)^2 = 25\)

Expanding and simplifying this equation, we get:

\(h^2 + 12h + k^2 + 4k - 45 = 0\)

The equation of the line passing through M is: x - 2y = -8

Solving for x in terms of y, we get: x = 2y - 8

Substituting this expression for x into the equation of the circle, we get:

\((2y - 8 - h)^2 + (y - k)^2 = 25\)

Expanding and simplifying, we get:

\(5y^2 - 16hy + 8h^2 + 6yk + k^2 - 89 = 0\)

Now we have two equations with two unknowns (h and k). To solve for h and k, we can use any method of solving a system of equations, such as substitution or elimination.

We'll use the substitution method. Solving the equation x - 2y = -8 for x, we get:

x = 2y - 8

Substituting this expression for x into the equation \(5y^2 - 16hy + 8h^2 + 6yk + k^2 - 89 = 0\), we get:\(5y^2 - 16hy + 8h^2 + 6y\)

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Answer:

The answer is D

Answer: Most likely 13cm

Step-by-step explanation: because it’s between 10cm and 16cm and thes no picture and set of choices so I hope this right.

Answer:

8 lbs. 13 oz.

Step-by-step explanation:

2 lb. 4 oz.

+ 1 lb. 11 oz.

4 lb. 14 oz.

__________

7 lbs. 29 oz.

Since there are 16 oz in one pound, subtract 16 from 29 to get 13 oz and don’t forget to add that pound to the 7, so your final answer should be 8 lbs. 13oz.

Answer:

44, 45, and 46

Step-by-step explanation:

135-(x+1)=x+(x+2)

135-(x+1)=2x+2

135=3x+3

132=3x

x=44

So the first number is 44

Then just add 1 and 2 to get 45 and 46 as the second and third number.

Answer:

Step-by-step explanation:

d = 30 * w

The best answer is D.  One or two of the others are impossible to read.

B is an incomplete question.

The linear combination of the standard unit vectors i and j for the given initial and terminal points is 9i + 20j.

To find the linear combination of the standard unit vectors i and j, we need to determine the components of the vector that connects the initial point to the terminal point.

Given:

Initial Point: (0, -8)

Terminal Point: (9, 12)

To find the linear combination, we subtract the coordinates of the initial point from the coordinates of the terminal point:

So, Terminal Point - Initial Point

= (9, 12) - (0, -8)

= (9 - 0, 12 - (-8))

= (9, 20)

Therefore, the linear combination of the standard unit vectors i and j for the given initial and terminal points is 9i + 20j.

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Answer:

25 percent

Step-by-step explanation:

There is 12 spots on the chart

3 of these spots are green or 3/12

3/12 is equivalent to 1/4

1/4 of 100 in 25 percent

Answer:

A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.

Step-by-step explanation:

Confidence interval:

We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.

48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.

48 - 3.5 = 44.5%.

48 + 3.5 = 51.5%.

Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.

Answer:

D) t = 5

Step-by-step explanation:

when t =5 both functions have the same x and y value

Answer:

i cant see it

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

do u go to il Texas and BTW u look nice

Answer:

x=11

Explanation:

If triangles QRS and TUV are similar, then the ratio of the corresponding sides are:

Substituting the given lengths:

We solve the equation above for x:

The value of x is 11.

Answer:

f

Step-by-step explanation:

The value of angle BCD is determined as 108⁰.

option B is the correct answer.

The value of angle BCD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

arc AB =  m∠ACB

m∠ACB =  72⁰

The value of angle BCD is calculated as follows;

angle BCD = 180 - 72⁰ (sum of angles in a circle)

angle BCD = 108⁰

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Modal interval is discussed below.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given is the modal interval.

        MODE = \($L + h\frac{(f_{m} -f_{1}) }{(f_{m} -f_{1} ) + (f_{m} - f_{2} )}\)

Therefore, Modal interval is discussed above.

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Answer:

can't seeit clearly

Step-by-step explanation: