Refer to image attached

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

For more such questions on distance formula

https://brainly.com/question/28551043

#SPJ8

Answer:

x/3=4.5/1.5

1.5x=3*4.5

x=13.5/1.5

x=9

Step-by-step explanation:

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

#95141404393

The length of one of the remaining sides is 34.20 meters.

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Perimeter of an isosceles trapezoid =  sum of lengths of sides of a trapezoid

length of shorter base + length of longer base + (2 x legs)

108 = 11.5 + 28.1 + (2 x legs)

108 = 39.60 + (2 x legs)

108 - 39.60 =  (2 x legs)

68.40 =  (2 x legs)

leg = 68.40 / 2

= 34.20 meters

To learn more about trapezoids, please check: https://brainly.com/question/25748893

#SPJ1

Answer:I believe its 0.

Step-by-step explanation: If you have a 3 and a -3 the answer would be 0, because the -3 would overpower the 3 and 3-3=0 so thats the only reasonable answer. Thanks~

Answer:

B

Step-by-step explanation:

student B has scored - 3

student D has scored 3

combined score = - 3 + 3 = 0 → B

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

-4x - 1

Step-by-step explanation:

i used a calculator and got that

meter I guess Is the correct answer

Answer:

A meter is approximately 3.28 feet.

Answer:

34%

Step-by-step explanation:

The percent of increase in the number of students at the workshop is 15%.

Given that, there were 120 students at a creative writing workshop last year. This year there are 138 students.

The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time. Mathematically, this formula is represented as the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.

Here, initial value = 120 students and final value = 138 students.

Difference in value = Final value - Initial value

=138-120=18

Percentage of increase = \(\frac{18}{120}\times 100\)

= 15%

Therefore, the percent of increase in the number of students at the workshop is 15%.

To learn more about the increase in percentage visit:

https://brainly.com/question/20818421.

#SPJ5

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Using the binomial distribution, we have that:

a) There is a 0.2111 = 21.11% probability that a six will occur exactly twice.

b) The expected number of sixes is of 3.2.

c) The variance of the number of sixes is of 2.35.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

For this problem, the parameters are given by:

p = 8/30 = 0.2667, n = 12.

Item a:

The probability is P(X = 2), hence;

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{12,2}.(0.2667)^{2}.(1-0.2667)^{10} = 0.2111\)

Item b:

The expected number of the binomial distribution is:

E(X) = np.

Hence:

E(X) = 12 x 8/30 = 3.2.

Item c:

The variance of the binomial distribution is:

V(X) = np(1-p).

Hence:

E(X) = 12 x 8/30 x 22/30 = 2.35.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:

x= - 13/5

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

Answer:

Step-by-step explanation:

Step one:

given data

total ounces combined= 8.65+8.09= 16.74 ounces

We are told that the remainder after pouring the fruits into four bowls is

2.78 ounces, hence what was divided is

= 16.74-2.78=13.96 ounces

Now the amount that was divided is 13.96 ounces

hence a bowl took 13.96/4= 3.49 ounces

Answer: 2x+5=75. X=35.

Step-by-step explanation: Let’s make the number x. It says twice the number. So that would be x times 2 or two x. Then the sum of twice a number and five. So it would be 2x+5. That equals to 75. So the equation would be 2x+5=75. Then to solve it, subtract five from both sides. 2x=70. Then divide the whole thing by two. X=35.

Answer:

c? sorry if it's wrong...

The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

For a hypothesis test of H₀, p = 0.35 against the alternative,

And, Hₐ: p > 0.35, the z test statistic is found to be 2.45.

Now, We get;

P(z < 2.45) = 0.9929

Hence, Significant is,

⇒ 1 - 0.9929 = 0.0071

Thus, Significant at both 0.05 and 0.01 because both are greater than 0.0071.

So, The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ3

Answer:

Step-by-step explanation:

Cylinder

Triangle-based pyramid

The three dimensional shape for the given net diagrams are cylinder and triangular pyramid.

The net diagrams are given in figure.

Net diagram is a 2-dimensional plane figure which can be folded to form a 3-dimensional figure. Or we can say net diagrams are the figures which obtained by unfolding some 3D figures.

A) Here, the net diagram represents cylinder

A cylinder is a 3D solid shape that consists of two identical and parallel bases linked by a curved surface. These bases are like circular disks. The line passing from the center or joining the centers of two circular bases is called the axis of the cylinder shape.

B) Here, the net diagram represents triangular pyramid

A triangular pyramid is a 3D shape in which all the faces are triangles. It is a pyramid with a triangular base connected by four triangular faces where 3 faces meet at one vertex. If it is a right triangular pyramid, the base is a right-angled triangle while the other faces are isosceles triangles.

Therefore, the three dimensional shape for the given net diagrams are cylinder and triangular pyramid.

Learn more about the net diagrams here:

https://brainly.com/question/3316927.

#SPJ2

Answer:

The numbers added up together is 180, and divide 180 by 5 is 36.

1,6,5,4,6=22.

22/5=4.4

Step-by-step explanation:

You can look it online but as quoted,

"Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth." -IXL

Step-by-step explanation:

the function actually is

y = 40(x - 1) + 70 = 40x - 40 + 70 = 40x + 30

still, the slope (the factor of x) is 40.

that means y (the cost) increases by 40 for every additional hour (x increases by 1).

so, the rate of change (slope) is 40/1 = $40 per hour.

Answer:

y=5

Step-by-step explanation:

If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.

Use the equation

y-y=m(x-x)

y-5=0(x-(-4))

y-5=0

y=5

Answer:

y=5

Step-by-step explanation:

A because I did it

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

5/4   5 ft

Step-by-step explanation:

We are going from 12 to 15

We need to multiply by

15 = k *12

Divide each side by 12

15/12 = k

5/4 = k

The scale factor is 5/4

1 in = 4 ft

Multiply the 4 ft by the scale factor

1 in = 4 * 5/4 = 5 ft

1 in = 5 ft

Answer:

Raphael saw a square patio that was 12-feet long on each side. He wants to build a patio that will be 15-feet long on each side.

The change in the scale factor is  

✔ 4/5

.

The change of scale means that 1 inch represented  4 feet, but now 1 inch represents  

✔ 5

feet.

Answer:

t = 2 and t = 3.

Step-by-step explanation:

To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:

2^t = 4Taking the logarithm base 2 of both sides:

t = log2(4)

t = 2For u = 8:

2^t = 8Taking the logarithm base 2 of both sides:

t = log2(8)

t = 3

Answer:

i think it's (-5,-1,1,2,4,5)

Answer:

mean = 24

Step-by-step explanation:

the mean is calculated as

mean = \(\frac{sum}{count}\)

the sum of the data set is

sum = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

there is a count of 7 in the data set , then

mean = \(\frac{168}{7}\) = 24

Answer:

\(y = \frac{2}{3} x - 3 \frac{2}{3} \)

Step-by-step explanation:

Let's rewrite the given equation in the form of y= mx +c, where m is the gradient while c is the y-intercept.

2x -3y= 9

3y= 2x -9

Divide by 3 throughout:

\(y = \frac{2}{3} x - 3\)

Thus, the gradient of given line is ⅔.

Parallel lines have the same gradient.

Therefore, gradient of line is ⅔.

Substitute m=⅔ into the equation:

\(y = \frac{2}{3} x + c\)

To find the value of c, substitute a pair of coordinates.

When x=4, y= -1,

\( - 1= \frac{2}{3} (4) + c \\ - 1 = \frac{8}{3} + c \\ c = - 1 - \frac{8}{3} \\ c = - 3 \frac{2}{3} \)

Substitute the value of c:

\(y = \frac{2}{ 3} x - 3 \frac{2}{3} \)

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

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

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

Read more about expression at

brainly.com/question/4344214

#SPJ1

Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %