8^x=2 what is the value of x

Perpendicular bisector: put the following steps in order using what you know about constructing a perpendicular bisector.

Minchanka [31]

In order to draw a perpendicular bisector you must have ruler , compass and a pencil.

Given nothing and we have to show the steps to draw a perpendicular bisector.

Perpendicular bisector is the line which divides the line into two equal parts and makes 90° angle on other line.

If we want to make a perpendicular bisector on a line then we have to follow the following steps:

1) First draw a line with the help of ruler on which we want to make perpendicular bisector.

2) Now take a compass and a pencil.

3) Put the pencil in the compass and strech the compass equal to half or little more of the length of the line.

4) Now put the compass on one end of the line and draw an arc on the line or may be just upward.

5) Now repeat the step 4 from other end.

6) Now draw a line from the point where two arcs intersects on the line.

7) It is the perpendicular bisector of the line.

Hence to draw a perpendicular bisector we require compass, ruler and a pencil.

Learn more about perpendicular bisector at brainly.com/question/11006922

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3 0

3 years ago

Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is

Liula [17]

Answer:

1) Option B is correct.

The inverse of the function, T⁻¹(x), represents the The height above the surface (in kilometers) when the temperature is x degrees Celsius.

2) T⁻¹(x) = 12.2 - 0.4x

3) T⁻¹(15) = 6.2 m

Step-by-step explanation:

1) The inverse of a function is a function that reverses the effects of the original function on the variable that determines the original function's value.

T(h) = 30.5 - 2.5h

The original function takes the height in kilometres and converts it to temperature at that point in degree Celsius, So, the inverse function will take the temperature in degree Celsius and produce the corresponding height in kilometres.

So, it is the The height above the surface (in kilometers) when the temperature is x degrees Celsius.

The inverse functuon is given as T⁻¹ (x)

2) To obtain T⁻¹(x)

T(h) = 30.5 - 2.5h

We make h the subject of formula

2.5h = 30.5 - T

h = (30.5 - T)/2.5

h = 12.2 - 0.4T

T⁻¹(x) = 12.2 - 0.4x

3) T⁻¹(x) = 12.2 - 0.4x

when x = 15°C

T⁻¹(15) = 12.2 - 0.4(15) = 6.2 m

6 0

4 years ago

Classify each variable as discrete or continuous (a) The time it takes to drive to University. _______________ (b) The number of

pishuonlain [190]

Answer:

(a) Continuous,

(b) Discrete,

(c) Continuous.

Step-by-step explanation:

We are asked to classify each variable as discrete or continuous.

(a) The time it takes to drive to University.

We know that continuous data can take any values within a range, while discrete data can take only certain values.

Height, weight, time are typical examples of continuous data.

Since it can take some minutes or hours to reach university, therefore, the given variable is continuous.

(b) The number of credit cards a person has.

The number of credit cards a person can take lie in the group of positive integers. Since a person can take finite number of credit cards, therefore, the given variable is discrete.

(c) The weight of pumpkins.

We know that the weight of all pumpkins cannot be similar. The weight of pumpkins can be between some kg to some pounds, therefore, the given variable is continuous.

8 0

3 years ago

State the domain of the rational function. f(x) = seventeen divided by quantity five minus x

alexandr1967 [171]

If we are going to write the equation in its mathematical form, we will see that it becomes,

The domain of the function is the number of x that would allow us to solve the equation and get a real value for f(x). In this equation, x can take any real numbers so long as it is not 5. This is because 5 – 5 in the denominator will lead to 0 which in turn makes the equation indefinite.

4 0

4 years ago

For quadrilateral ABCD, determine the most precise name for it. A(-2,3), B (9,3), C(5,6) and D(2,6). Show your work and explain.

Arisa [49]

For this case, the first thing to do is to graph the ordered pairs given in the problem.
Then, join the points to see the quadrilateral formed.
In this case the quadrilateral is a trapezoid.
The trapezoid is a geometric figure with four sides, of which only two are parallel.
Answer:
trapezoid
See attached image.

4 0

4 years ago