Answer:
Step-by-step explanation:
Simplify the following:
(sqrt(48))/(sqrt(42))
Rationalize the denominator. (sqrt(48))/(sqrt(42)) = (sqrt(48))/(sqrt(42))×(42^(1 - 1/2))/(42^(1 - 1/2)) = (sqrt(48)×42^(1 - 1/2))/42:
(sqrt(48)×42^(1 - 1/2))/42
Combine powers. (sqrt(48)×42^(1 - 1/2))/42 = sqrt(48)×42^((1 - 1/2) - 1):
sqrt(48)×42^((1 - 1/2) - 1)
Put 1 - 1/2 over the common denominator 2. 1 - 1/2 = 2/2 - 1/2:
sqrt(48)×42^((2/2 - 1/2) - 1)
2/2 - 1/2 = (2 - 1)/2:
sqrt(48)×42^(((2 - 1)/2) - 1)
2 - 1 = 1:
sqrt(48)×42^(1/2 - 1)
Put 1/2 - 1 over the common denominator 2. 1/2 - 1 = 1/2 - 2/2:
sqrt(48)×42^(1/2 - 2/2)
1/2 - 2/2 = (1 - 2)/2:
sqrt(48)×42^((1 - 2)/2)
1 - 2 = -1:
sqrt(48)×42^((-1)/2)
sqrt(48) = sqrt(2^4×3) = 2^2 sqrt(3):
2^2 sqrt(3) 1/sqrt(42)
2^2 = 4:
4 sqrt(3) 1/sqrt(42)
Rationalize the denominator. (4 sqrt(3))/(sqrt(42)) = (4 sqrt(3))/(sqrt(42))×(sqrt(42))/(sqrt(42)) = (4 sqrt(3) sqrt(42))/42:
(4 sqrt(3) sqrt(42))/42
The gcd of 4 and 42 is 2, so (4 sqrt(3) sqrt(42))/42 = ((2×2) sqrt(3) sqrt(42))/(2×21) = 2/2×(2 sqrt(3) sqrt(42))/21 = (2 sqrt(3) sqrt(42))/21:
(2 sqrt(3) sqrt(42))/21
sqrt(3) sqrt(42) = sqrt(3×42):
2/21 sqrt(3×42)
3×42 = 126:
(2 sqrt(126))/21
sqrt(126) = sqrt(3^2×14) = 3 sqrt(14):
2/21 3 sqrt(14)
3/21 = 3/(3×7) = 1/7:
Answer: (2 sqrt(14))/7
Help the perimeter is about _ units_
The perimeter of the given polygon is about 16.4 units.
How to find the perimeter of the polygon?We want to find the perimeter of the polygon whose vertices are (-3, 2), (2, 2) and (-1, -3).
The perimeter will be equal to the sum of the distances between the vertices, and remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:
d = √( (x₂ - x₁)² + (y₂ - y₁)²)
The distances are:
between (-3, 2) and (2, 2)
d = √( (-3 - 2)² + (2 - 2)²) = 5
between (-1, -3) and (2, 2)
d = √( (-1 - 2)² + (-3 - 2)²)
d = √( 9 + 25) = 6
between (-1, -3) and (-3, 2)
d = √( (-1 + 3)² + (-3 - 2)²)
d = √29 = 5.4
Then the perimeter is:
5.4 + 6 + 5 = 16.4
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7. Find the value of x. (AB = 8) (show work pls)
Answer:
Step-by-step explanation:
when GDK goes up GD goes down
Thanks for all the help Brainlys!!!
I'll give yall some points for all the helpppp!!!!!!!!
Answer:
I am so glad you were able to do it! Congrats on 100%
Step-by-step explanation:
That's great you got 100%!!!
3
Elena agrees to finish a knitting project for a friend. The
graph shows the number of rows Elena completes
compared to the amount of time spent knitting.
Rows vs. Time
Rows Completed
30 1x
27
24
21
-18
15
12-
9
6
3.
(20, 22)
(14, 19)
(30, 27)
5 10 15 20 25 30 35 40 45
Time (minutes)
X
TIME REMAINING
57:43
Assuming she worked at a constant rate, how many
rows had been completed before Elena started working?
O 12
14
O 15
O 19
12 rows had been completed before Elena started working.
What is meant by rows ?
The vertical arrangement of the number is referred to as a column, while the horizontal groupings are referred to as rows.A column is vertical in alignment, whereas a row is horizontal. Data in a column explains a field of information that all entities share, whereas data in a row provides information that describes a specific entity.Objects arranged in a column are aligned head to tail, while those arranged in a row normally face forward.Rows and columns make up the tabular format of MS Excel. Column moves vertically while Row moves horizontally.The row number, which runs vertically down the left side of the sheet, is used to identify each row.The column header, which runs horizontally across the top of the sheet, identifies each column.To learn more about rows refer to
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What is the value of x in the equation 3x+9/6=x-3
[tex] \frac{3x + 9}{6} = x - 3 \\ [/tex]
[tex]3x + 9 = 6(x - 3)[/tex]
[tex]3x + 9 = 6x - 18[/tex]
[tex]6x - 3x = 9 + 18[/tex]
[tex]3x = 27[/tex]
[tex]x = \frac{27}{3} \\ [/tex]
answer: [tex]x = 9[/tex]
Graph the following functions:
1. y=2x²
2. y=x²-2x-3
One graph will pass through the origin and the second graph will meet the x-axis at 3, -1.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given two function
y=2x² y=x²-2x-3For y=2x²:
Since the value of x = 0, the value of y is 0.
thus this graph will pass through the origin and will only have 1 solution.
For y = x²-2x-3:
At y = 0
x²-2x-3 = 0
x = 3, -1
Therefore, This graph will pass through the x-axis at 3, -1.
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What is value of sin?.
Let's first review the Sin function before talking about Sin 0. Therefore Sin 0 value is 0.
The Sine, Cosine, and Tangent functions in trigonometry are used to determine the angles and length of a right-angled triangle, respectively.
The relationship between the angle, perpendicular side, and hypotenuse side is defined by the sine function.
Alternatively, you can use sin theta, which is equal to the right-angled triangle's perpendicular to hypotenuse ratio. Sin theta is the angle produced between the hypotenuse and adjacent side.
Definition Of Sin In Relation To Sin 0.
Sin 0 denotes that (x,y) is where the value of the x coordinate is 1, and the value of the y coordinate is 0. (1,0). In this case, the hypotenuse has a value of 1, and the opposing side or perpendicular has a value of 0.
As a result, if we set the numbers in the sin ratio for = 0, the perpendicular side to be 1, and the hypotenuse to be 0, we obtain,
Sin 0 = 0/1
Sin 0 = 0
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The equation for line p can be written as y= 9 7 x–9. Line q is perpendicular to line p and passes through (9, – 6). What is the equation of line q?
final answer:y= - 1/97 - 6
to find slope, just do the opposite reciprocal of the given slope
to find y-intercept just substitute the given point in y=mx+b
hope this helps!
Write a ytem of three linear equation in two variable o that any two of the equation have exactly one olution, but the entire ytem of equation ha no olution. PLEASE HELP FAST!!!!
A system of three linear equations in two variables that satisfies the given situation can be x + y = 5, 2x + y = 5, and x + 2y = 5
To satisfy the given situation for a system of three linear equations, write any linear equation as the first equation. Let's say
x + y = 5
For the second equation, multiply the x term of the first equation by any factor, keeping the y term and the constant unchanged.
2x + y = 5
The last equation could be written using the second equation wherein the constant of the variable x and y are interchanged.
x + 2y = 5
Any two of the equations in this system have exactly one solution, because they have a unique solution when we solve them individually. However, when we try to solve the entire system by using all three equations, we find that the system has no solution.
This can be easily seen by solving the system by substitution, elimination, or graphical method.
It is also possible to use different equations but with the same criteria, the key is that at least one of the equations should be the negation or a multiple of another equation.
The problem seems incomplete/unreadable, it must have been...
"Write a system of three linear equations in two variables so that any two of the equations have exactly one solution, but the entire system of equations has no solution."
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What is the initial value of the function represented by this graph?
0
4
5
7
Quadrilateral CDEF is inscribed in Circle T F Engle DEF is 3X +7 and angle DCF is 2X +8 what is the value of X?
Since Quadrilateral CDEF is inscribed in Circle A, the value of x is equal to: B. 33.
How to calculate the value of x?Since Quadrilateral CDEF is inscribed in Circle A, we can reasonably infer and logically deduce that line segment DF is the chord of Circle A. Mathematically, an equation which can be used to solve for the value of x in this circle is given by:
m∠DEF + m∠DCF = 180°
Substituting the given parameters into the formula above, we have the following;
(3x + 7)° + (2x + 8)° = 180°
3x + 2x + 8 + 7 = 180°
5x + 15 = 180°
5x = 180° - 15
5x = 165
x = 165/5
x = 33.
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Find the value of p when 3^p = 1/9. is there a method to solve this instead of trial and error?
[tex]{3 }^{p} = \frac{1}{9} [/tex]
[tex]{3 }^{p} = 9 {}^{ - 1} [/tex]
[tex]{3 }^{p} = (3 {}^{2} ) {}^{ - 1} [/tex]
[tex]{3 }^{p} = 3 {}^{} {}^{ - 2} [/tex]
[tex]p = - 2[/tex]
what are the next five terms and conjuncture of 1, 8, 27, 64
Answer:
125, 216, 343, 512
Step-by-step explanation:
The next number in the sequence 1, 8, 27, 64 is 125.
This sequence follows the pattern of starting with the number 1, then finding the cube of each subsequent integer (the cube of a number is found by multiplying the number by itself twice, so the cube of 2 is 222=8). Therefore, the next number in the sequence would be 555=125.
Three brothers spent different amounts of money on their recent vacation. Matt spent $25 less than Todd. Jeff spent 3 times as much as Matt. How much did each brother spend if they spent a total of $275?
Please help me!
Answer:
Todd spent 75, Matt spent 50 and Jeff spent 150
Step-by-step explanation:
Matt = y - 25
Jeff = 3(y - 25)
Todd = y
y - 25 + 3y - 75 + y = 275
5y - 100 = 275
5y = 275 + 100
5y = 375
y = 375/5
y = 75.......Todd therefore spent 75 dollars!!
I think it gets easy from here
a 12-foot ladder is leaned against the side of a building such that the angle of depression to the far side of the sidewalk is 45 degrees, but 65 degrees to the near side of the sidewalk. how wide is the sidewalk?
Answer:
From the top of a 12 foot ladder, the angle of depression to the far side of a sidewalk is , while the angle of depression to the near side of the sidewalk
Step-by-step explanation:
Which set of points represents a function? { ( 5 , 0 ) , ( 9 , 8 ) , ( 2 , 5 ) , ( 1 , 4 ) , ( 1 , 1 ) } {(5,0),(9,8),(2,5),(1,4),(1,1)} { ( 9 , 9 ) , ( 9 , 7 ) , ( 8 , 1 ) , ( 5 , 8 ) , ( 1 , 4 ) } {(9,9),(9,7),(8,1),(5,8),(1,4)} { ( 2 , 5 ) , ( 4 , 5 ) , ( 7 , 1 ) , ( 0 , 8 ) , ( 6 , 4 ) } {(2,5),(4,5),(7,1),(0,8),(6,4)} { ( 9 , 3 ) , ( 9 , 2 ) , ( 1 , 1 ) , ( 3 , 6 ) , ( 6 , 7 ) } {(9,3),(9,2),(1,1),(3,6),(6,7)}
The set of ordered pairs that is a function is (b) (-9, 9), (-8, 1), (2, -4), (-2, 1)
How to determine the ordered pair that is a function?The list of options represents the given parameter
All ordered pairs are relations but not all ordered pair are functions
For an ordered pair to be a function, the following must be true:
The y values on the ordered pair must have different x values
Using the above as a guide,
In (a) the y values -2 and -4 have the same x value of 5In (b), all the y values have different x valuesThis means that the ordered pair in option (b) represents a function
Hence, the ordered pair that is a function is (b)
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what is a number that goes into a greater number with no remainders called?
A number that goes into a greater number with no remainders is called a factor.
A factor is an integer that divides into a greater number without any remainders.
For example, the number 6 is a factor of 18 because when 18 is divided by 6, the answer is 3 with no remainders. Similarly, the number 3 is a factor of 12 because when 12 is divided by 3, the answer is 4 with no remainders.
Factors are important in mathematics because they can be used to solve equations and determine the greatest common divisor (GCD) of two or more numbers. Factors can also be used to determine prime numbers and their multiples.
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Table 1.3 shows the hypothetical trade-off between different combinations of brushes and combs that might be produced in a year with the limited capacity for country X, ceteris paribus.
In the production range of 2 to 3 combs opportunity cost producing one more comb is
a)0.67
b)3.33
c)7.0
d)0.14
In the production range of 2 to 3 combs, the opportunity cost of producing one more comb is d) 0.14 brushes.
Explain about production range refer to:Opportunity cost is the cost of one choice in terms of the best alternative foregone. In this case, the opportunity cost of producing one more comb is the number of brushes that have to be given up in order to produce that additional comb.For example, if the country X is currently producing 2 combs, in order to produce one more comb, 0.14 brushes would have to be given up. This means that for every additional comb produced, 0.14 brushes would have to be sacrificed. This trade-off is reflected in Table 1.3 and is the opportunity cost of producing one more comb in the production range of 2 to 3 combs.In other words, the opportunity cost of producing one more comb is the number of brushes that would have to be sacrificed in order to produce that comb. The opportunity cost is 0.14 brushes per comb, which means that for every additional comb produced, 0.14 brushes would have to be given up.To learn more about production range refer to:
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Ricardo has an equally likely chance of spinning an odd number as spinning a number less than 4
The given statement that " Ricardo has an equally likely chance of spinning an odd number as spinning a number less than 4" is True.
How to find the probability?When rolling a fair dice, the probability of getting an odd number is:
= Number of odd numbers / Number of sides on die
Number of odd numbers = 1, 3, 5
Probability of odd number:
= 3 / 6
= 1 / 2
Probability of number less than 4 :
= 3 / 6
= 1 / 2
Ricardo therefore has an equally likely chance.
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Options for this question are:
True FalseCan you help me with this ?! !!
Step-by-step explanation:
remember,
x^-n = 1/x^n
any negative exponent of 1.3 means we have to consider it as 1/1.3 with the positive exponent.
so, if the given temperature (x) is negative, 1.3 has a positive exponent and gets bigger and bigger the lower (smaller) x gets.
if the given temperature (x) is positive, 1.3 has a negative exponent and gets smaller and smaller the higher (bigger) x gets.
the domain is the interval or set of all valid x-values.
there is no need for any restriction for x.
so, the domain is all real numbers.
the question is : up to what temperature will there be heating ?
at 5°C ? yes, sure.
at 10°C ? yes, sure.
at 15°C ? some people still need heating.
at 20°C ? most likely not.
but f(20) = $0.042094266... ≈ $0.04
so, still a tiny little bit of heating is happening for the function, but in reality most likely not at all.
the information about such a limit is missing in the question. so, again no limit for x.
f(-8) means that x = -8.
f(-8) = 8(1.3)^--8 = 8(1.3)⁸ = 8×8.15730721 =
= 65.25845768
when the low outside temperature is -8°C, it would cost $65.26 to heat the building.
I don't know the answer options to the last part, but the interpretation certainly is in the context of the problem.
How do you change Vertex to factored?.
Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.
What is quadratic equation?
Factoring, using square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic problem.
Any equation in algebra that can be written in standard form as where x stands for an unknown value, where a, b, and c stand for known values, and where a 0 is true is known as a quadratic equation.
x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Therefore, Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.
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If y₁=2x-1 construct for x = -5 to 7- a table
Without using a calculator, determine between which two integers the following surds lie (b) √29 (C)-√54
(b) √29 is between 5 and 6. You can approximate it by finding the perfect squares that are closest to 29: 25 (5^2) and 36 (6^2). √29 is between 5 and 6 since 5^2 < 29 < 6^2
(c) √54 is between 7 and 8. You can approximate it by finding the perfect squares that are closest to 54: 49 (7^2) and 64 (8^2). √54 is between 7 and 8 since 7^2 < 54 < 8^2.
*URGENT*
just checking if my answer is right, if not please help!!!!
K is therefore equal to 1/2 since in the right-angled triangle, one angle is 45 and the perpendicular is 10 cm.
what is triangle ?Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners.
given
If you have an angle and its opposite side, you may calculate the hypotenuse by dividing the length of the opposing side by sin().
To find the length of the side next to the angle, you can also divide the length by tan().
Let the hypotenuse be AC=x
Now given AB=Kx
In △ABC
sin45 ∘ = AC / AB
1/2 = kx/x
K= 1/2
K is therefore equal to 1/2 since in the right-angled triangle, one angle is 45 and the perpendicular is 10 cm.
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a+v=b-(v+5)
how would I make this solution true
To make a true equation, check your math to make sure that the values on each side of the equals sign are the same.
How would make this solution true?step1
(a) a +v = b-(v+5)
1+5=6 not equal a+ v=5
To check if a given value is a solution to an equation:
Evaluate the left-hand side expression at the given value to get a number
Evaluate the right-hand side expression at the given value to get a number.
See if the numbers match.
If you add the same number to both sides of an inequality, the inequality remains true.
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Correct question:
What criteria must meet to say that a+v=b-(v+5) is true?
How do you write the square root of a negative number?.
Negative numbers doesn't have real square roots since a square is either positive or 0.
Negative Square Roots Simplifying an expression involving the square root of a negative quantity is done by simplifying the quantity as if it was positive, and placing an i in front as a coefficient.
for example:-
The square root of -9 is 3i. But if you are talking about real numbers, then there would be no solution.
Square root
The square root of a number is defined as the value, which gives the number when it is multiplied by itself.
The √ symbol that is used to denote square root or nth roots.
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Tina and her friend are picking apples at Newberry Orchard. The apples cost $1.40 per pound. If they pick 2.5 pounds of apples, how much will the apples cost?
$
Answer:its b
Step-by-step explanation:yall dume
How many lb is 1.4 pounds
Answer:1.4
Step-by-step explanation: Because lbs are the same thing as pounds
5. Angle F and angle G are
complementary. Angle F
measures (2x+10)° and angle
G measures 30°. Find the
value of x.
Answer: 25 degrees
Step-by-step explanation:
2x + 10 + 30 = 90
2x = 50
x = 25 degrees
2. AB is tangent to •O at A (not drawn to scale). Find the length of the radius r, to the nearest tenth. (The length from the edge of the circle to B is 4.)
Point B on line AB, which is tangent to circle O, has a length of 12 units. The circle is intersected by the line AO from point A to the circle's centre at point C, and the line segment AC has a length of 8 units.
What do you meant by radius of a circle ?If you know the circumference C, you can calculate the radius of a circle using the formula r = C / (2 * ). If you know a circle's diameter, d, you can calculate its radius using the formula r = d / 2. The line AB crosses the circle at the precise locations P and Q. Here, the line AB is known as the secant of the circle.
Due to the fact that the endpoints of the line segment P Q are on the circle's circumference, it is known as the circle's chord.The two-headed arrow over AB designates a line that passes through points A and B. The name of a line that crosses two distinct points A and B is written as "line AB" or as.
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