Answer: the distance between the two points is √26 or about 5.1
Step-by-step explanation:
A(4,6) B(9,7)
[tex]\boxed {L_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2} }\\\\L_{AB}=\sqrt{(9-4)^2+(7-6)^2} \\\\L{ab}=\sqrt{5^2+1^2}\\\\ L_{AB}=\sqrt{25+1} \\\\L_{AB}=\sqrt{26} \\\\L_{AB}\approx5.1[/tex]
The distance between A (4, 6) and B (9, 7) is √26 or 5.1.
How to find the distance between two points?Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
So the distance between A (4, 6) and B (9, 7) will be
[tex]d = \sqrt {\left( {4 - 9 } \right)^2 + \left( {6 - 7 } \right)^2 }[/tex]
d = √26 = 5.099
Rounded to nearest tenth ⇒ 5.1 units.
Hence "The distance between A (4, 6) and B (9, 7) is √26 or 5.1".
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What is the common ratio between successive terms in the sequence?
27, 9, 3, 1.7.
27
O-3
عد اس مراس
01/1/0
O 3
Answer:
hold up
Step-by-step explanation:
عد اس مراس whats this mean??
following is an equation of a circle in the xy-plane with center(-2, 1) and a radius with endpoint (0,2)? a) (x-2)(y 1)2 5 b)
The equation of a circle in the xy-plane is found as (x + 2)² + (y - 1)² = 5.
What is circle?A circle is a two-dimensional closed figure in which the set of all points with in plane is equidistant from the a given point known as the "centre."
Circle Formula: (x - h)² + (y - k)² = r² ;
Where, (h, k) is the centre & r is the radius of the circle.
Use the distance formula for(-2, 1) and (0,2)
[tex]\begin{aligned}&r=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} \\&r=\sqrt{(0+2)^2+\left(2-1\right)^2} \\&r=\sqrt{(2)^2+\left(1\right)^2}\end{aligned}[/tex]
Further simplifying;
r = √(4 + 1)
r = √5
Centre (h, k) = (-2, 1) Radius (r) = √5.
(x - h)² + (y - k)² = r²
(x + 2)² + (y - 1)² = √5²
(x + 2)² + (y - 1)² = 5 is the equation of the circle.
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Today Julia practiced her flute for 9 minutes fewer than twice the amount of time she spent
yesterday. If m represents the number of minutes spent practicing yesterday, then the
expression 2m-9 represents how much time she practiced today. JSuppose Julia practiced for
25 minutes yesterday. How many minutes did she spend practicing the flute today?
50 minutes
O 49 minutes
O 41 minutes
O 36 minutes
Answer:
Julia would have spent 41 minutes.
Step-by-step explanation:
We know that the equation is 2m - 9, and that m is equal to 25.
So all we have to do is solve.
2m - 9
= 2(25) - 9
= 50 - 9
= 41
So Julia practiced 41 minutes that day.
Hope this helped! :D
In 10 and 11 complete each sentence then use the laws of exponents to write an equivalent expression for the given expression.
The results of the computation using the laws of exponents are 2^12 and 2401/256
What is indices?When we have two numbers, one serving as the base and the other being the index, we could be able apply the laws of indices when we are solving the problem. There are several laws of indices such as; multiplying, dividing, power of 0, brackets, negative and fractional powers.
In order to solve these problems, we need to apply the statements of the laws of indices.
In the first case we have;
2^16 ÷ 2^4
2^16/2^4
Using the subtraction law;
2^16 - 4 = 2^12
Again;
(7/4)^4
By the power law
7^4/4^4 = 2401/256
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AP stats.
does anyone know how to calculate frequency and divide into classes?
Answer:
I answered you in another answer
Step-by-step explanation:
The distance between the points (3,-6) and (3,4)
Answer:
10 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, - 6 ) and (x₂, y₂ ) = (3, 4 )
d = [tex]\sqrt{(3-3)^2+(4-(-6))^2}[/tex]
= [tex]\sqrt{0^2+(4+6)^2}[/tex]
= [tex]\sqrt{0+10^2}[/tex]
= [tex]\sqrt{0+100}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
What is the distance between P(−4, 3) and Q(6, 1)? Round to the nearest tenth.
Answer:
I believe I did it right. I solved it with distance formula.
Answer : D =
[tex] \sqrt{104} [/tex]
= 10.2
h(x)= 12/2x+16
find h(-8)
Answer -
[tex] \frac{61}{4} [/tex]
Step-by-step explanation:
Greetings !
Given expression( function )
[tex]h(x) = \frac{12}{2x} + 16[/tex]
Thus, plug in -8 in the variable x and solve as follows:-
[tex]h( - 8) = \frac{12}{2( - 8)} + 16[/tex]
Multiply the numbers 2.(-8) = -16
[tex] = \frac{12}{ - 16} [/tex]
Apply the fraction rule
[tex] \frac{a}{ - b} = - \frac{a}{b} [/tex]
[tex] = - \frac{12}{16} [/tex]
[tex] = - \frac{ 12}{16} + 16[/tex]
cancle
[tex] \frac{12}{16} = \frac{3}{4} [/tex]
Factor the number: 12 = 4.3
[tex] = \frac{4.3}{16} [/tex]
Factor the number 16 = 4.4
[tex] = \frac{4.3}{4.4} [/tex]
cancel the common factor =4
[tex] = \frac{3}{4} [/tex]
Thus,
[tex] = \frac{ - 3}{4} + 16[/tex]
Convert 16 to fraction :
Apply the fraction rule
[tex]a = \frac{ab}{b} [/tex]
[tex] = \frac{16.4}{4} [/tex]
Multiply the numbers 16.4=64
[tex] = \frac{64}{4} [/tex]
[tex] = - \frac{3}{4} + \frac{64}{4} [/tex]
Apply the fraction rule
[tex] \frac{a}{c} + \frac{b}{c} = \frac{a + b}{c} [/tex]
[tex] = \frac{ - 3 + 64}{4} [/tex]
Add the numbers -3+64 ==61
[tex] = \frac{61}{4} [/tex]
Hope it helps !!
Can someone help me on this question and explain the process
Answer:
Step-by-step explanation: Use Pythagorean Theorem
[tex]a^2 + b^2 = c^2\\[/tex]
[tex]15^2 + b^2 = 9^2\\[/tex]
[tex]225 + b^2 = 81[/tex]
[tex]- 255[/tex] [tex]-255[/tex]
-------------------
[tex]b^2 = 174\\[/tex]
[tex]b^2 = \sqrt{-174}[/tex]
what is the estimated sum of 69, 129, 139, and 97
Answer:
cluster estimation is to estimate sums when the numbers being added cluster near in value to a single number. it is 100 in this case.
estimate sum = 100x4 = 400
Step-by-step explanation:
Answer:
440
Step-by-step explanation:
Round all of the numbers, and then add them.
Please give brainliest if this was helpful!
(-2, 8), (r, 4), m = -1/2
99 times 76 solve first for BRAINLIEST
Answer: 99 x 76= 7524
Step-by-step explanation:
Answer:
7524
Step-by-step explanation:
Write a sentence for this equation.
2+3n=4n
Answer: 4 times a number equals 2 plus 3 times a number
Step-by-step explanation: (NMA)
A survey asked high school cell phone users how many minutes they use their phones to talk each day. The
box plot summarizes the responses.
Between what two numbers do the lower fourth of the responses fall? Put your answer in the box using this
format #and #. Do not include any spaces between the number and the word and when entering your answer.
The lower quartile of the data is said to fall between 1.5 and 2.5 respectively in the box plot that we have here.
How to find the lower quartile from the box plotThe lower quartile is the lower 1/4th of the data distribution. It is the 25th percentile of the distribution that we have in the question.
This point is what is marked at the starting point of the box that we have in this question.
The lower quartile is given by 2 and we can see that that it is bounded by the two numbers of 1.5 and 2.5.
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with an average speed of km per hour,a bus takes 10 hour to arrive kathmandu from biratnagar.in how early does it arrive kathmandu,if its average speed is increased by 5 km per hour?
It arrives 1 hour early in Kathmandu, if its average speed is increased by 5 km/h;
Average speed = 45 km/h;
Total time taken to arrive Kathmandu from Biratnagar = 10 hours
∴ Distance between Kathmandu and Biratnagar = Speed × Time
= 45 × 10
= 450 km;
If average speed is increased by 5 km/h, new average speed = 50 km/h;
New time to reach Kathmandu = Distance/ Time
= 450/50
= 9 hours;
It arrives 10 - 9 = 1 hour early in Kathmandu;
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The fixing of east and west germany's currencies at a 1:1 ratio to each other during the german unification in 1990 is an example of a _____.
The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy
We know
The fixed exchange rate policy is the rule to ties the country's official currency exchange rate to another country's currency which set by the central bank or government.
Here,
The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990. The fixed exchange policy is used here
Hence, The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy
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5. in an experiment that tested how adding variable quantities of sugar to flowers in a vase made the flowers last longer, the dependent variable would be the \
For given scenario the dependent variable would be the life of flowers.
For given question,
The variable that researchers are trying to explain or predict is called the
response variable. It is also sometimes called the dependent variable
because it depends on another variable.
The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.
The amount of sugar would be an independent variable and the life of flowers is a dependent variable.
Therefore, for given scenario the dependent variable would be the life of flowers.
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In a box of Toasted O’s cereal, there are 15.4 ounces of cereal. If each box cost $3.59, what is the cost per ounce? Round to the nearest penny.
1 point
When each box cost $3.59, the cost per ounce will be $0.23 ounce.
How to calculate the value?In the box of Toasted O’s cereal, there are 15.4 ounces of cereal and each box cost $3.59.
Therefore, the cost per ounce will be:
= Total amount / Number of ounce
= $3.59 / 15.4
= $0.23 per ounces
Therefore, when each box cost $3.59, the cost per ounce will be $0.23 ounce.
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which expression can be used to determine the average rate of change in f(x) over the interval 2, 9?
The necessary expression for calculating the average rate of change inside the given function f(x) is given using :
f'(x) = (f(9) - f(2))/7
What is the average change rate?It quantifies how significantly the function changed per unit on average over that time interval. The slope of the single direction connecting every interval's ends on the function's graph is used to calculate it.
What is the distinction between the slope and the average rate of change?As we can see, slope is another way of calculating the average change rate. The average rate of change is calculated by dividing the difference in the dependent (y-term) by the difference inside the independent variable (x-term). The slope, as well as average rate of change are the same thing.
According to the given data:The function is given to f(x)
The interval is given to be [2,9]
Let a = 2 and b = 9
The expression which is used to determine the average rate of change in f(x) is given by
f'(x) = (f(b) - f(a))/b - a
f'(x) = (f(9) - f(2))/7
The necessary expression for calculating the average rate of change inside the given function f(x) is given using :
f'(x) = (f(9) - f(2))/7
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Formula of the area of a trapezoid
Answer:
[tex]A = \frac{a+b}{2} + h[/tex]
Step-by-step explanation:
A is the area. a and b are the lengths of the two bases. h is the height of the trapezoid.
Answer:
Step-by-step explanation:
A=[tex]\frac{base1+base2}{2}height[/tex]
Find the quotient of the quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.. write the final answer in scientific notation. 6 x 1048 6 x 1024 6 x 100 6 x 10−48
The quotient of the quantity (30 × 10⁻²⁴)/(5 × 10⁻²⁴) is found out to be 6 × 10⁰.
What is meant by scientific notation?For writing exceptionally large or extremely small numbers, scientific notation is comparable to shorthand. A process is limited to a number multiplied by ten rather than written in decimal form.
In a mathematical equation, the "coefficient" is the first number. The coefficient must be less than ten and greater than one. For example, the coefficient for developing scientific notation for the number 256 is 2.56.As in the equation, the second number is a power of ten, presented as a power of ten with just an exponent, such as 10², which stands for 10 x 10.Now, as per the expressed equitation;
= (30 × 10⁻²⁴)/(5 × 10⁻²⁴)
Divide the numerator (30 × 10⁻²⁴) by denominator (5 × 10⁻²⁴) by the quotient.
= 6 × 10⁰
Therefore, the quotient of the quantity (30 × 10⁻²⁴)/(5 × 10⁻²⁴) is calculated as 6 × 10⁰.
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a is 60 miles from b. an automobile at a starts for b at the rate of 20 miles an hour at the same time that an automobile at b starts for a at the rate of 25 miles an hour. how long will it be before the automobiles meet?
The time taken before the two automobiles meet is determined as 1.33 hours.
Time taken before the two automobiles meetApply the principle of relative velocity as shown below;
Vat + Vbt = D
(Va + Vb)t = D
where;
D is the distance between the two automobilest is the time when they meetVa is velocity of automobile aVb is velocity of automobile b(20 + 25)t = 60
45t = 60
t = 60/45
t = 1.33 hours
Thus, the time taken before the two automobiles meet is determined as 1.33 hours.
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please help me on this ...
Answer: 5m
Step-by-step explanation: multiply the numbers.
what is the slope of the line that passes through the points (4,-2) and (4,10)? write your answer in simplest form
Answer:
x = 4
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (10 - -2)/(4 - 4) = 12/0
so slope is undefined
therefore the line is a vertical line, which is x = 4
I need help with the introduction to probability lesson. The photo is attached below.
Answer:
.50 = equally likely as unlikely
1 = certain
.25 = unlikely
0 = impossible
.75 = likely
Step-by-step explanation:
Think of these as percentages, it'll help you figure out.
.50 is 50%
1 is 100%
.25 = 25%
0 is 0%
.75 = 75%
which of the following is an advantage of a cumulative frequency polygon over a histogram or frequency polygon?
An advantage of a cumulative frequency polygon over a histogram or frequency polygon is that: it can directly compare two or more frequency distributions.
What is a cumulative frequency polygon?A sort of frequency polygon that displays cumulative frequencies is called a cumulative frequency polygon. In other words, the graph adds the cumulative percentages from left to right. On a cumulative frequency polygon's graph, class boundaries are shown along the x-axis and cumulative frequency is shown on the y-axis.Now,
Two alternative methods of graphically presenting data given in the form of a frequency distribution are frequency polygons and histograms. While a histogram can only be created for grouped frequency distribution, the frequency polygon can represent both grouped and ungrouped (discrete) data.Since it is easier to compare the frequencies in cumulative frequency polygon as compared to these two, the former has an advantage over the latter.Hence, an advantage of a cumulative frequency polygon over a histogram or frequency polygon is that: it can directly compare two or more frequency distributions.
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In the first quadrant,you start at (11,8) and move 9 units left and 3 units up
The result of moving 9 units to the left and 3 units up is (2,11) in the 1st quadrant.
What do we mean by quadrants?A quadrant is an area enclosed by the x and y axes; thus, a graph has four quadrants. To explain, the two-dimensional Cartesian plane is divided into four quadrants by the x and y axes. Quadrant I begins in the upper right corner and progresses counterclockwise through Quadrants II through IV.Refer to the graph given below:
After moving 9 units left and 3 units up, the result is (2,11).Therefore, the result of moving 9 units to the left and 3 units up is (2,11) in the 1st quadrant.
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what is 16 divided by 2 2/3 pls help
It should be noted that 16 divided by 2 2/3 is 6.
How to compute the value?It should be noted that the information is to compute 16 divided by 2 2/3.
Therefore, this will be:
16 ÷ 2 2/3
= 16 ÷ 8/3
= 16 × 3/8
= 2 × 3
= 6
Therefore, the value is 6.
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The coordinate a,b are co-linear, and b lies between a and c. if ac= 36, ab= 2x + 4 and bc= 4x + 2, what is the value of x?
When, the coordinate a and b are colinear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5
Given,
The coordinates a and b are colinear.
The point b lies between a and c
Therefore,
ac = ab + bc
ac= 36
ab= 2x+4
bc= 4x+2
Substitute the values
36= 2x+4 + 4x+2
36= 6x+6
6x= 36-6
6x=30
x=5
Hence, when the coordinate a and b are co-linear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5
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The school newspaper wants to find the opinions of students on availability of campus parking. They send a staff member to stand outside a busy dorm and interview students as they walk in or out of the building. What type of sampling process did the paper use?.
The sampling process used by the school newspaper is convenience sampling.
Convenience sampling is the most popular kind of sampling that concentrates on gathering data from individuals (the sample) who are 'convenient' for the researcher to reach. With this sample strategy, researchers can choose subjects at random who are receptive to being contacted and participating in the study rather than selecting participants at random based on any set of criteria (such as demographic variables). This implies that one can locate your sample at any time and any place, such as among individuals in a mall, on the street, at work, or in an online community.
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