Solve for x
-22=2(x-10)​

The distance between point A and B is 6√2units

The distance between two point is the space between a given point from a reference point. The distance between two points is expressed as ;

d = √ y2-y1)²+(x2-x1)²

Here, A = ( 2,1) and B =( -4,7)

therefore ;

d = √( 7-1)²+(-4-2)²

d = √6²+6²

d = √36+36

d = √72

d = 6√2 units

therefore the distance between A and B is 6√2 units.

learn more about distance between two points from

https://brainly.com/question/7243416

#SPJ1

Answer:the answer would be 20

Step-by-step explanation:

because it is use the most

The value of angle Z= 39°, line XY= 21.9 and line XZ= 34.7

A right-angled triangle is a type of triangle which as one of it's sides equal to 90°. Since angle Y is 90°, then ∆ABC is a right-angled triangle

angle Z = 180-(90+51)

angle Z= 180- 141= 39°

using trigonometry ratio

tan51 = 27/XY

XY= 27/tan51

XY= 27/1.2

XY= 21.9

using Pythagoras theorem

XZ²= 21.9²+27²

XZ²= 1208.6

XZ= √1208.6

XZ= 34.7

learn more about right-triangles from

https://brainly.com/question/17335144

#SPJ1

We have the expression:

We have to evaluate it for m = 3 and n = -5.

To do that we replace the variables with its values and calculate:

Answer: the value of the expression is -78.

Answer:

The last graph is the answer

Step-by-step explanation:

I got this correct on the quiz

The statement "\(d^10\) P(x)/d\(x^10\) = 0" is true for a polynomial of degree 8.

The statement "\(d^10 P(x)/dx^10\) = 0" for a polynomial of degree 8 is always true.

When differentiating a polynomial, the degree of the resulting polynomial decreases by 1 after each differentiation. Since P(x) is a polynomial of degree 8, differentiating it 10 times will result in a polynomial of degree 8 - 10 = -2.

A polynomial of degree -2 or lower is considered a constant, and when we differentiate a constant, the derivative is always zero. Therefore, \(d^10 P(x)/dx^10\)= 0 for any polynomial of degree 8.

Hence, the statement "\(d^10 P(x)/dx^10\) = 0" is true for a polynomial of degree 8.

For more questions about Polynomial .

brainly.com/question/2833285

#SPJ4

The graph that shows a similar parallelogram to the parallelogram given in the graph above is the graph in which the side lengths of the two parallelograms are proportional.

Similar polygons are polygons that share these two features presented as follows:

Hence we must observe the side lengths of the two parallelograms, and verify if they form a proportional relationship. If they are proportional, then the parallelograms are similar.

The problem is incomplete, hence the general procedure to verify similar polygons is presented.

More can be learned about similar polygons at brainly.com/question/14285697

#SPJ1

The prefrontal cortex is responsible for regulating higher cognitive functioning of the brain.

What is prefrontal cortex?

In the frontal lobe of the brain, there is a structure called the prefrontal cortex. It carries out cognitive functions like memory, attention, planning, flexibility, etc. It is regarded as the region of the brain that develops the least quickly

Prefrontal cortex is located in the frontal lobe.

The prefrontal cortex is responsible for regulating higher cognitive functioning of the brain.

Mid-twenties is when it reaches maturity. This explains why teenagers are more likely to establish harmful behaviours than younger kids and why adults are better at planning and thinking. An attention deficit and trouble remembering details can be brought on by prefrontal cortex (PFC) damage. Moreover, it may result in psychological changes, a diminished capacity for feeling, and bodily impairments associated with daily activities.

To learn more about the  Prefrontal cortex from the given link

https://brainly.com/question/30562039

#SPJ1

Answer:

190,000

190,000

190,000

Step-by-step explanation:

190,000

190,000

The slope of the line passing through the points (-2, 8) and (4, 6) is -1/3 .

We know that the slope of a line passing through two given points is calculated by the formula:

\({\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}\)

Now the given points are (-2, 8) and (4, 6)

Hence slope = (6-8) / (4-(-2)) = -2/6 = -1/3

The slope of a line indicates its slope and direction. Finding the slope of lines in a coordinate plane can help predict whether two lines are parallel, perpendicular, or have no relationship at all without actually using a compass.

The slope of a line can be determined using any two distinct locations on the line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line. In this essay, we will understand the slope-finding method and its uses.

Therefore the slope of the line is -1/3

To learn more about slope visit:

https://brainly.com/question/11559942

#SPJ9

Answer:

y= (x-6) be sure to include the parenthesis or it will be incorrect

Step-by-step explanation:

Answer:

14b+2c-8

Step-by-step explanation:

Step-by-step explanation:

4b + 2(5b + c) - 8

= 4b + 10b + 2c - 8

= 14b + 2c - 8

= 2(7b + c - 4).

To do content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers the unit of analysis will be objective of the section.

Given that we are interested in doing content analysis on the characteristis people seek in a partner by examining the personals section of three newspaper.

Content analysis is basically a research tool used to determine the presence of certain words, themes,or concepts within some given qualitative data. Using content analysis, a researchers can quantify and analye the presence meanings and relationships of such certain words, themes and concepts.

When we are required to do content analysis by examining the personals section of three newspapers, its units can be objective of section. Some part is related to matrimonials, some are for rent,etc.and some are for commercial advertisements.

Hence the unit of analysis is objective of the section.

Learn more about content analysis at https://brainly.com/question/890849

#SPJ4

Answer:

(3, -4)

Step-by-step explanation:

Lines are intersecting at points (3, -4).

So, the solution of the given system of equations is (3, -4).

Hope it helps you in your learning process.

To find the median winning bid, we need to first arrange the bids in order from lowest to highest:

$2.00 $2.00 $3.00 $3.00 $3.00 $5.00 $6.00

There are seven bids in total, which means that the median is the fourth value when the bids are arranged in order. In this case, the fourth value is $3.00.

Therefore, the median winning bid is $3.00.

The way that the correlation will be affected if the units are changed from minutes to seconds is that the correlation will still be the same.

Correlation simply means a statistical measure which expresses the extent to which two variables are linearly related.

From the information, it was stated that twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622.

In this case, even when the units for time are changed from minutes to seconds, the correlation won't change. This is because the change in units has no effect on the correlation.

Learn more about correlation on:

https://brainly.com/question/4219149

Answer:

The correlation would stay the same because the change in units for time would have no effect on it.

Step-by-step explanation:

Answer:

16 meters

Step-by-step explanation:

Factors of 64: 1, 2, 4, 8, 16, 32, 64

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The greatest common factor of 64 and 48 is 16.

Answer:

Step-by-step explanation:

To find the length of the longest scale that can measure 64 m and 48 m exactly, we need to find the greatest common factor (GCF) of 64 and 48. The GCF is the largest number that divides both numbers without leaving a remainder. One way to find the GCF is to list the factors of both numbers and find the largest one that they have in common. For example:

Factors of 64: 1, 2, 4, 8, 16, 32, 64

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The largest factor that both numbers have in common is 16. Therefore, the GCF of 64 and 48 is 16.

This means that the longest scale that can measure both lengths exactly is 16 m. We can check this by dividing both lengths by 16 and seeing that there is no remainder:

1664​=4

1648​=3

The vector orthogonal for both vectors is \((20, -10, -4) / \sqrt{444}\) = (\(20 / \sqrt{444}\), \(-10 / \sqrt{444}\), \(-4 / \sqrt{444}\))

What is an orthogonal vector?

An orthogonal vector is a vector that is perpendicular to another vector in a given space. In other words, two vectors are orthogonal if their dot product is equal to zero.

To find a vector orthogonal to both 2, 2, 0 and 0, 2, 5 of the form 1, we can take the cross product of the two vectors, which results in a vector that is orthogonal to both. The cross product of 2, 2, 0 and 0, 2, 5 is given by:

(2, 2, 0) x (0, 2, 5) = (20, -10, -4)

So, a vector orthogonal to both 2, 2, 0 and 0, 2, 5 is given by (20, -10, -4). We can normalize this vector by dividing it by its magnitude, which is equal to sqrt(20^2 + (-10)^2 + (-4)^2) = sqrt(444). The normalized vector will be of the form 1:

\((20, -10, -4) / \sqrt{444}\) = (\(20 / \sqrt{444}\), \(-10 / \sqrt{444}\), \(-4 / \sqrt{444}\))

Hence, the vector orthogonal for both vectors is \((20, -10, -4) / \sqrt{444}\) = (\(20 / \sqrt{444}\), \(-10 / \sqrt{444}\), \(-4 / \sqrt{444}\)).

To learn more about the orthogonal vector, visit:

https://brainly.com/question/15587050

#SPJ4

The answer is either A. IQR, because Sunny Town is symmetric or B. IQR, because Beach Town is skewed.

A distribution refers to the pattern of how data is spread out or distributed across different values or intervals. It is a way to describe and analyze the shape, center, and spread of a set of data.

To determine the location with the most consistent temperature, we need to measure the variability of the temperature data in both locations. The measure of variability that is appropriate for this purpose is the interquartile range (IQR), which measures the spread of the middle 50% of the data.

Therefore, the answer is either A. IQR, because Sunny Town is symmetric or B. IQR, because Beach Town is skewed, depending on the shape of the distributions. If the temperature data in Sunny Town is symmetric, then the IQR would be appropriate to measure the spread of the data. If the temperature data in Beach Town is skewed, then the IQR would also be appropriate to measure the spread of the data. However, if the temperature data in either location is not skewed, then the range would not be an appropriate measure of variability.

To know more about distributions visit:

https://brainly.com/question/14697580

#SPJ1

Answer:D ( if you add +4 to the (x + 3)^2)

Step-by-step explanation:

Parent function is f(x) = x^2

A translation 3 units left gives y = )x + 3)^2

- and 4 up gives y = (x + 3)^2 + 4 - vertex form.

Standard form :

y = x^2 + 6x + 9 + 4

= x^2 + 6x + 13.

The equation is of the form h= x² + 14x +58.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

f(x) = x²

As, graph is a translation 7 units left

f(x) = (x +7)²

and, 9 units up of the parent function

h= f(x) = (x +7)² + 9

So, equation of the form y = ax² + bx + c

h= x² + 14x +58

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

The two numbers are x = 3.43 and y = 22.57.

What is a linear equation in two variables?

An equation is said to be a linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Let the first number be x and the second number be y. Then we can write the given information as a system of equations:

x + y = 26

(2/5)x + (3/8)y = 10

To solve this system, we can eliminate one of the variables by multiplying the first equation by 8 and the second equation by 5, then subtracting the resulting equations:

8x + 8y = 208

10x + 15y = 50

Subtracting these equations gives us:

-2x - 7y = -158

Dividing both sides by -7, we get:

x + y = 22.57

Substituting this back into the first equation, we get:

x + 22.57 = 26

Solving for x, we get:

x = 26 - 22.57

= 3.43

Substituting this back into the original equation x + y = 26, we get:

3.43 + y = 26

Solving for y, we get:

y = 26 - 3.43

= 22.57

Hence, the two numbers are x = 3.43 and y = 22.57.

To learn more about linear equations in two variables, visit:

https://brainly.com/question/13951177

#SPJ1

The speed when she drove from her home town to parents town is 20 miles/hour and in return trip the speed is 25 miles/ hour.

What is speed?

The rate of change of position of any object is defined by speed. It is a scalar quantity. It may occur in any direction. Speed can be measured as the ratio of distance to the time.

Roma sherry drove 100 miles from her home town to her​ parents' town. during her return​ trip, she was able to increase her speed by 5 miles per hour.

Let, s miles/ hour be the speed when she drove from her home town to parents town.

then (s+5) miles/ hour  will be the speed in her return trip.

Time = distance/ speed

here distance = 100 miles

her return trip took 1 hour less​ time

time when she drove from her home town to parents town is 100/s

and time  in her return trip is 100/ (s+5)

the equation will be

\(\frac{100}{s} - \frac{100}{s+5 } = 1\)

\(100(\frac{1}{s} - \frac{1}{s+5} )= 1\)

\(\frac{500}{s^{2} +5s} = 1\)

\(s^{2}+5s-500=0\)

Factorizing we get, (s-20)(s+25)=0

since speed cannot be negative so s=20

Hence, the speed when she drove from her home town to parents town is 20 miles/hour and in return trip the speed is 25 miles/ hour.

To know more about speed

https://brainly.com/question/13943409   from the link.

#SPJ1

Answer:

It's C

Step-by-step explanation:

The correct answer is c. 6 ft³.To calculate the volume of the sculpture, we need to find the volume of one pyramid and then multiply it by four.

The volume of a pyramid can be calculated using the formula V = (1/3) * base area * height. In this case, the base area of the pyramid is a square with side length 2 feet, so the area is 2 * 2 = 4 square feet. The height of the pyramid is 6 feet. Plugging these values into the formula, we get V = (1/3) * 4 ft² * 6 ft = 8 ft³ for one pyramid. Since there are four identical pyramids, the total volume of the sculpture is 8 ft³ * 4 = 32 ft³.

However, the question asks for the volume of sculpting material needed, so we need to subtract the volume of the hollow space inside the sculpture if there is any. Without additional information, we assume the sculpture is solid, so the volume of material needed is equal to the volume of the sculpture, which is 32 ft³. Therefore, the correct answer is c. 6 ft³.

Learn more about sculpture here:

brainly.com/question/20758351

#SPJ11

The solution to the system is \($\$\left(x_{-} 1, x_{-} 2\right)=(4,-3) \$$\).

To solve the system, we can use the method of elimination or Gaussian elimination.

We start by writing the system in augmented matrix form:

\($$\left[\begin{array}{cc|c}2 & 4 & -4 \\5 & 7 & 11\end{array}\right]$$\)

We can eliminate the \($\$ x_{-} 1 \$$\) variable from the second equation by subtracting 5 times the first equation from the second:

\($$\left[\begin{array}{cc|c}2 & 4 & -4 \\5-5(2) & 7-5(4) & 11-5(-4)\end{array}\right] \Rightarrow\left[\begin{array}{cc|c}2 & 4 & -4 \\-3 & -13 & 31\end{array}\right]$$\)

Next, we can eliminate the \($\$ x_{-} 2 \$\)$ variable from the first equation by subtracting twice the second equation from the first:

\($$\left[\begin{array}{cc|c}2-2(-13) & 4-2(7) & -4-2(31) \\-3 & -13 & 31\end{array}\right] \Rightarrow\left[\begin{array}{cc|c}28 & -10 & -66 \\-3 & -13 & 31\end{array}\right]$$\)

We can simplify this further by dividing the first row by 2 :

\($$\left[\begin{array}{cc|c}14 & -5 & -33 \\-3 & -13 & 31\end{array}\right]$$\)

Now we can solve for \($\$ x_{-} 2 \$$\) in terms of \($\$ x_{-} 1 \$$\) by multiplying the first equation by 13 and adding it to the second equation:

\($$13(14) x_1-13(5) x_2-13(33)-3(-13) x_1-3(-13) x_2=13(31)-3(14) x_1$$\)

Simplifying:

\($$\begin{aligned}& 169 x_1-91 x_2-429+39 x_1+39 x_2=403 \\& 208 x_1=832 \\& x_1=4\end{aligned}$$\)

Substituting back into the first equation, we get:

\($$2(4)+4 x_2=-4 \Rightarrow x_2=-3$$\)

Therefore, the solution to the system is \($\$\left(x_{-} 1, x_{-} 2\right)=(4,-3) \$$\).

To learn more about elimination visit:

https://brainly.com/question/29625952

#SPJ11

option c is correct that if the two events are mutually exclusive than they cannot be independent.

As, we know that "mutually exclusive events are those events that do not occur at the same time".

Mutually exclusive events do not share any sample points with each other, so they cannot occur at same time. Thus, if event A and event B are mutually exclusive, they are actually inextricably dependent on each other because A's existence reduces event B's probability to zero and vice-versa.

Therefore, two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually​ exclusive, then when one of them​ occurs, the probability of the other must be zero.

Hence, option c is correct that if the two events are mutually exclusive than they cannot be independent.

Find out more information about mutually exclusive events here:

https://brainly.com/question/17136647

#SPJ4

There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

To learn more about term visit the link:

https://brainly.com/question/12786767

#SPJ4