The positive number between every pair of distinct points is known as the distance and it can be found as the absolute value of the difference between the corresponding real numbers.
How is the distance found?The distance represents the space between a pair of distinct points. This is called the distance postulate.
In order to find the distance, you would need to solve for the absolute value of the difference between the real numbers that are at the two points.
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Answer:
The positive number between every pair of distinct points is known as the distance and it can be found as the absolute value of the difference between the corresponding real numbers.
Step-by-step explanation:
What is the perimeter in units ?
Answer:
12 + [tex]4\sqrt{5}[/tex] approximates to 20.944
Step-by-step explanation:
VU - 8 units
UW - 4 units
VW - [tex]\sqrt{64+16} = \sqrt{80} =4\sqrt{5}[/tex]
12 + 4sqrt(5)
Answer:
6 (2 + √5) units
Step-by-step explanation:
Finding the length of the 3rd side :
*Applying Pythagorean Theorem*
VW² = 4² + 8²VW² = 16 + 64VW = √80VW = 6√5The perimeter :
4 + 8 + 6√512 + 6√56 (2 + √5) unitsHow do you round 56.053 to the nearest whole number
Answer:
56
Step-by-step explanation:
all your doing is removing the .053 to get your whole number
Find the value of the function f(x) = x2 + 9x + 10, for x = -1.
Answer:
this is pretty easy we just replace the x with -1 so
(-1)^2+(-1)9+10
-1*-1=1
-1*9=-9
1+-9=-8
-8+10=2
f(-1)=2
Hope This Helps!!!
Which standard form of the equation of the hyperbola has vertices at (0, 5) and (0, –5), and asymptotes y equals plus or minus five twelfths times x question mark
y squared over 25 minus x squared over 144 equals 1
y squared over 144 minus x squared over 25 equals 1
x squared over 25 minus y squared over 144 equals 1
x squared over 144 minus y squared over 25 equals 1
The equation first represents the hyperbola has vertices at (0, 5) and (0, –5), and asymptotes y = ±(5/12)x option first is correct.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have:
Vertices of the hyperbola = (0, 5) and (0, -5)
Asymptotes: y = ±(5/12)x
The equations we have:
[tex]\rm \dfrac{y^{2}}{25}-\dfrac{x^{2}}{144}=1[/tex]
[tex]\rm \dfrac{y^{2}}{144}-\dfrac{x^{2}}{25}=1[/tex]
[tex]\rm \dfrac{x^{2}}{25}-\dfrac{y^{2}}{144}=1[/tex]
[tex]\rm \dfrac{y^{2}}{144}-\dfrac{x^{2}}{25}=1[/tex]
From the equation first:
[tex]\rm \dfrac{y^{2}}{25}-\dfrac{x^{2}}{144}=1[/tex]
The value of a and b are:
a = 12
b = 5
Vertices of the hyperbola = (0, b) and (0, -b)
Vertices of the hyperbola = (0, 5) and (0, -5)
Asymptotes: y = ±(b/a)x
Asymptotes: y = ±(5/12)x
Thus, the equation first represents the hyperbola has vertices at (0, 5) and (0, –5), and asymptotes y = ±(5/12)x option first is correct.
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Answer:
A
Step-by-step explanation:
11. Calculate the weight on earth of an object with a mass of 48 kg. Gravitational acceleration (a) = 9.81 m/s ² Show all steps and formulae used. (3) ✓
Answer:
470.88 N
Step-by-step explanation:
F = ma
48 ( 9.81) = 470.88 N ( 105.958 lbs)
2. Find the LCM of the following numbers by division method. (a) 16 and 28 (b) 36 and 44 (c) 45 and 120 (d) 10, 15 and 30 (e) 52 and 128 (f) 20, 60 and 80
(a):112
(b):396
(c):360
(d):30
(e):1664
(f):240
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 1) and goes through (1, 5) and (2, 25). g (x) approaches y = negative 10 in quadrant 2 and increases into quadrant 1. It goes through (0, negative 9), (1, negative 5), (2, 15).
What is the equation of g(x)?
g(x) = 5x – 9
g(x) = 5x – 10
g(x) = 5x – 9
g(x) = 5x – 10
According to the function transformations, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]
How to determine the equation of g(x)?The complete question is in the attachment
The function f(x) is given as:
[tex]f(x) = 5^x[/tex]
From the attached graph, we can see that the function f(x) is 10 units down to get g(x).
This is so because the y values of g(x) are 10 less than the corresponding y values of f(x)
This transformation is represented by:
(x, y) => (x, y - 10)
So, we have:
g(x) = f(x) - 10
Substitute [tex]f(x) = 5^x[/tex]
[tex]g(x) = 5^x - 10[/tex]
Hence, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]
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Which of the numbers below are whole numbers? Check all that apply.
A. 734.895
B. 0.7538
C. 7
D. 5429.97
E. 616
F. 401119.8
Answer:
7, 616 because there is no floating point
Which of the following statements is true?
Answer:
Last choice, [tex]\sqrt{15}[/tex] is irrational and [tex]\sqrt{0.001}[/tex] is rational
Step-by-step explanation:
Rational Numbers: Any number that can be written as a ratio (or fraction) of two integers, ex. 0.4
Irrational Numbers: A type of real number which cannot be represented as a simple fraction (non ending decimal), ex. 0.4161446
[tex]\sqrt{15} = 3.8729[/tex] making it irrational
First and third choice are INCORRECT as they state its rational[tex]\sqrt{0.001} = 1/1000[/tex] making it rational
Second choice is INCORRECT as they state its irrationalHence, the last choice is correct
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Find the distance between the points (-4, 2) and (2, -1).
Give an exact answer in simplest radical form. Do not round.
Answer:
[tex]3 \sqrt{5} [/tex]
Step-by-step explanation:
[tex] \sqrt{ {( - 4 - 2)}^{2} + {(2 - ( - 1))}^{2} } = \sqrt{45} = 3 \sqrt{5} [/tex]
Find the value of x which satisfies the following equation.
log2(x−1)+log2(x+5)=4
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: x = 3[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: log_{2}(x - 1) log_{2}(x + 5) = 4[/tex]
[tex]\qquad \tt \rightarrow \: log_{2} \{(x - 1)(x + 5) \} = 4[/tex]
[ log (x) + log (y) = log (xy) ]
[tex]\qquad \tt \rightarrow \: ( x - 1)(x + 5) = {2}^{4} [/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 5x - x - 5 = 16[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 4x - 5 - 16 = 0[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 4x -21 = 0[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 7x - 3x - 21 = 0[/tex]
[tex]\qquad \tt \rightarrow \: x(x + 7) - 3(x + 7) = 0[/tex]
[tex]\qquad \tt \rightarrow \: (x + 7)(x - 3) = 0[/tex]
[tex]\qquad \tt \rightarrow \: x = - 7 \: \: or \: \: x = 3[/tex]
The only possible value of x is 3, since we can't operate logarithm with a negative integer in it.
[tex]\qquad \tt \rightarrow \: x = 3[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
In the figure shown below, AC is parallel to DE with transversal BF
Determine the values of x and y
PLEASE SHOW WORK FOR THIS!
x=_______
y=_______
Answer:
X = 142°Y = 38°Given - AC is parallel to DE
angle 3y + 28 = angle X ( Vertically opposite angles are equal).
3y + 28 = X
X + Y = 180° ( supplementary angles).
3y - X = (-28)
Solving both the equation we get
multiply eq 1 with 3
3x + 3y = 540
-X + 3y = (-28)
subtracting
4x = 568
x = 142°
3y + 28 = 142
3y = 142 - 28
3y = 114
y = 38°
radical 5* radical 2
Answer:
[tex] \sqrt{10} [/tex]
Step-by-step explanation:
Rule: [tex] \sqrt{a} \times \sqrt{b} = \sqrt{ab} [/tex]
[tex] \sqrt{5} \times \sqrt{2} = \sqrt{5 \times 2} = \sqrt{10} [/tex]
[PLEASE HELP!!!!!!!!!]
Identify which equations have one solution, Infinitely many solutions, or no solution.
y+3.2y=20 +2z-1=42+2-2z|
4.5r=3.2+4.5r 21+4=3x+2
No Solution
One Solution
Infinitely Many Solutions
3z +2.5=3.2+3z
1.1+0+2=3.1+
The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have given a linear equation in one variable.
[tex]\rm \dfrac{1}{2}y + 3.2y = 20[/tex]
After solving:
y = 5.40 (one solution)
[tex]\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4} -2z[/tex]
After solving:
[tex]\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}[/tex]
[tex]\rm \dfrac{29}{4}=\dfrac{29}{4}[/tex] (Infinitely Many Solutions)
3z + 2.5 = 3.2 + 3z
2.5 = 3.2 (no solution)
Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.
Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.
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If f(x)= 3x +2 and g(x)=x^2+1, which expression is expression is equivalent to (fog) (x)
Composite functions occur when we take two functions and input one into the other as x.
Example:
[tex]f(x) = 2x[/tex]
[tex]g(x) = 3x^2[/tex]
[tex](f\circ g)(x)=f(g(x))[/tex]
[tex](f\circ g)(x) = 2(3x^2)[/tex]
Solving the QuestionWe're given:
[tex]f(x)= 3x +2[/tex][tex]g(x)=x^2+1[/tex]To find [tex](f\circ g)(x)[/tex], input g into f as x:
[tex]f(x)= 3x +2[/tex]
[tex](f\circ g)(x)=3(x^2+1) +2\\(f\circ g)(x)=3x^2+3 +2\\(f\circ g)(x)=3x^2+5[/tex]
Answer[tex](f\circ g)(x)=3x^2+5[/tex]
graph g(x) = -8|x| +1
Answer:
look the attachment in the above
Select the correct answer. Which set of vertices forms a parallelogram? OA A2,4), B(3, 3), C6, 4), D(5, 6) OB. A(-1, 1), B(2, 2), C(5, 1), D(4, 1) OC. A(-5, -2), B(-3, 3), C3, 5), D(1, 0) OD. A(-1, 2), B(1, 3), C5, 3), D(1, 1).
Answer:
(6,4)
Step-by-step explanation:
^^^
Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. If it takes the hot water faucet minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?
Do not do any rounding.
Answer:
Or if you don't want any rounding it will be 115.38461538461
SHL T Teleperformance
each interaction matters
Choose the correct option.
You arrived at your office at 9:35 AM. You left your office at 6:05 PM. How many hours did
spend in the office?
Answer:
8 hours 30 minutes
Step-by-step explanation:
6:05 pm - 9:35 am =
= 18:05 - 9:35
= 17:65 - 9:35
= 8:30
Answer:
Citcitdutditdutdtuditditdtiditf this is what is adjective 6hftuiouhvcutxyrzyt
Step-by-step explanation:
huuugggguytzurzt8st8s8ts9td96097g79t8dtrudutfitf8tfitftid8tdtdtudutd
A merchant has 120 liters of oil of one kind, 180 liters of another kind, and 240
liters of the third kind. He wants to sell the oil by filling the three kinds of equal
capacity. What should be the greatest capacity of such a tin?
The merchant needs to fill 60 litres of all types of oils .
What is HCF ?
HCF is the highest common factor, it is the factor in common in more than two numbers.
It is given in the question that
A merchant has 120 litres of oil of one kind, 180 litres of another kind, and 240 litres of the third kind.
He wants to sell the oil by filling the three kinds of equal capacity.
To find the greatest capacity of such a tin , we have to find the highest common factor of the individual capacity.
120=2×2×2×3×5
180=2×2×3×3×5
240=2×2×2×2×3×5
HCF=2×2×3×5=60
The greatest capacity = 60 litres
So the merchant needs to fill 60 litres of all types of oils .
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Question 1 of 10
What is the midpoint of the segment shown below?
O A. (6,3)
O B. (6,5)
O C. (3,5)
OD. (3, 3)
Answer:
[tex]\textsf{C.} \quad \left(3,\dfrac{5}{2}\right)[/tex]
Step-by-step explanation:
Midpoint between two points
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
Define the endpoints of the line segment:
[tex]\textsf{Let }(x_1,y_1)=(-1,2)[/tex]
[tex]\textsf{Let }(x_2,y_2)=(7,3)[/tex]
Substitute the defined endpoints into the midpoint formula and solve:
[tex]\implies \textsf{Midpoint}=\left(\dfrac{7+(-1)}{2},\dfrac{3+2}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(3,\dfrac{5}{2}\right)[/tex]
Midpoint
(-1+7/2,2+3/2(6/2,5/2)3,5/2)A community center has an L-shaped swimming pool that is 10 feet deep. What is the volume of the pool?
The total volume of the pool is 1040 cubic ft. The correct answer is option B.
The complete question is given below:-
The community centre has an L-shaped swimming pool that is 10 feet deep. What is the volume of the pool
1200
1040
640
880
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane.
We know that the total volume of the pool is the sum of the volume of two rectangular prisms.
One is a rectangular prism with dimensions 20ft.×10ft.×4ft.
and the other rectangular prism has dimensions: 6ft.×4ft.×10ft.
Hence, the volume of a first rectangular prism is:
20×10×4=800 cubic ft.
The volume of a second rectangular prism is:
6×4×10=240 cubic ft.
Hence, the total volume of the pool is:
800+240=1040 cubic ft.
Therefore the total volume of the pool is 1040 cubic ft. The correct answer is option B.
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Pam asks you to help with the catering for the funeral. You decide to use juice concentrate to serve as a refreshing drink. To create this delicious drink, you must dilute the concentrate in the ratio 1:4. You have 2 litres of concentrate. What is the volume of water needed?
which expression is equivalent to....
Answer:
A^32
Step-by-step explanation:
Done
Answer:
Option D: a³²
Step-by-step explanation:
Powers in this case multiply, 8*4=32
therefore answer D a³² is correct
Hassan used the iterative process to locate StartRoot 0.15 EndRoot on the number line.
A number line going from 0 to 0.9 in increments of 0.1. A point is between 0.4 and 0.5.
Which best describes Hassan’s estimation?
Hassan is correct because StartRoot 0.15 EndRoot almost-equals 0.4
Hassan is correct because the point is on the middle of the number line.
Hassan is incorrect because StartRoot 0.15 EndRoot is less than 0.4.
Hassan is incorrect because the point should be located between 0.1 and 0.2
Hassan is incorrect because √0.15 is less than 0.4, and the value of √0.15 is 0.3872 option third is correct.
What is the iteration method?Iteration is the process of repeating a procedure in order to produce a series of results.
We have:
= √0.15
[tex]= \rm \sqrt{{\dfrac{15}{100}}}[/tex]
[tex]= \rm \sqrt{{\dfrac{3}{20}}}[/tex]
= (1.732)/(4.472)
= 0.3872
√0.15 is less than 0.4.
Thus, Hassan is incorrect because √0.15 is less than 0.4, and the value of √0.15 is 0.3872 option third is correct.
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Answer:
C
Step-by-step explanation:
92÷9−5=913 find value of p
Answer:
which p? there isn't any p in above equation
9 out of 10 students prefer maths class over lunch how many students do not prefer math if 200 students were asked?
Answer: 180
Step-by-step explanation: 200 % 2 = 100
9/10 = 90/100
90 * 2 = 180
Answer:
20 students
If 9 out of 10 student prefer math over lunch, then 1 out of ten DO NOT. With this information you can set up a simple proportion: [tex]\frac{1}{10} =\frac{x}{200}[/tex].
To solve for x, you cross multiply as follows:
1*200=10x
200=10x
20=x
Hence, x equals 20, and 20 students do not prefer math over lunch.
Hope I helped!!!!!!!!!!!!!:)
A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold. The business manager requires that a profit of at least $100 be earned every hour. The product manager estimates that the expenses for running the machine are $45 per hour. What is the least number of sweaters that must be produced each hour to earn a profit of at least $100?
The least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold.
Let x be the number of sweaters that must be produced each hour to earn a profit of at least $100
Total selling price if earns $4 profit for each one sold = 4x
The expenses for running the machine are $45 per hour.
4x - 45 ≤ 100
4x ≤ 145
x ≤ 145/4
x ≤ 36.25
Number of sweater(estimate value) = 37
Thus, the least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.
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Using the Addition Method, solve for y in the following system of linear equations: 4x – 2y = 6 2x + y = 7
Answer:
y = 2
Step-by-step explanation:
Addition Method:
4x - 2y = 6
2x + y = 7
-2(2x + y) = -2(7)
4x - 2y = 6
-4x - 2y = -14
-4y = -8
y = 2
Substitution Method:
4x - 2y = 6
2x + y = 7
-2y = 6 - 4x
2y = 4x - 6
y = 2x - 3
2x + (2x - 3) = 7
4x - 3 = 7
4x = 10
x = 2.5
2(2.5) + y = 7
5 + y = 7
y = 2
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Which number should replace the ç to make the subtraction problem correct?
9.866
- 7.97ç
1.889
Answer:
7
Step-by-step explanation:
for you to get the missing number just take the complete numbers and minus them then you'll get the incomplete digit needed good day.