Answer:
x = 9/4 + 1/4 √17 or x = 9/4 + −1/4 √17
/ = over
Step-by-step explanation:
a = 2, b=-9, c=8
x = −b±√b2−4ac/2a
x = −(−9)±√(−9)2−4(2)(8)/2(2)
x = 9±√17/4
x = 9/4 + 1/4 √17 or x = 9/4 + −1/4 √17
Which calculation correctly uses prime factorization to write square root of 48 in simplest form?
The simplest form of the square root of 48 is 4√3
Simplifying rational functionsGiven the following rational function √48
The correct prime factorization is given as;
√48 = √3×16
√48 = √16 × √3
Since the square root of 16 is 4, hence;
√48 = 4√3
Hence the simplest form of the square root of 48 is 4√3
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please help me aspa
Answer:
i's 20 because it seems that it is the most successful
There are 15 men and 21 women in a club. One man and one female are to be selected at random to represent the club. How many different pairs are there?
Someone please help me with this one, thanks
There are 315 number of different pairs
How to determine the number of pairs?The given parameters are:
Men = 15
Women = 21
The number of different pairs is calculated as:
Pair = Men * Women
So,we have:
Pair = 15 * 21
Evaluate
Pair = 315
Hence, there are 315 different pairs
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how do u order decimals ??
Answer:
To order decimals, you first need a range of values.
Step-by-step explanation:
For example, if there are 5 values: 0.25, 0.87,0.19,0.89 and 0.98
First, look at the first digit after the decimal. The smallest digit is the smallest so far. In this case, it is 0.19 as '1' was the smallest digit. Second would be 0.25 because 2 is the second smallest digit here.
Now, we have 3 remaining numbers: 0.87, 0.89 and 0.98
You can notice that both 0.87 and 0.89 have the same first digit after the decimal.
Do fix this problem, look at the second digit and decide the smallest one. In this case, it is 0.87.
This means the order will go like this if it is smallest to largest: 0.19, 0.25, 0.87, 0.89, 0.98.
If it is largest to smallest, do it the other way around.
Hope this helped!
A shopkeeper sold a watch for rupees 992 allowing 20% discount find its marked price
Answer:
⇒ Let marked price be Rs.x.
⇒ Discount = 20% of marked price.
⇒ Discount=
100
20
×x=
100
20x
⇒ Selling price = Marked price - Discount.
⇒ 192=x−
100
20x
⇒ 192=
100
80x
⇒ x=
80
19200
=Rs.240
MARK IT AS BRAINLIESTAND FOLLOW ME.Answer:
S.p = 992
discount = 20%
marked price = S. p + discount
= 992 + 20/100*992
= 992 + 198.4
= 1190.4
been having this question for a while and this app wont help
Answer:
b
Step-by-step explanation:
eq y=x+4 is for x>=2 inclusive
If a^2 and b are directly proportional, and a=2 when b=9, then what is b when a=6?
Answer:
b = 81
Step-by-step explanation:
given a² and b are directly proportional then the equation relating them is
a² = kb ← k is the constant of proportionality
to find k use the condition a = 2 when b = 9 , then
2² = 9k
4 = 9k ( divide both sides by 9 )
[tex]\frac{4}{9}[/tex] = k
a² = [tex]\frac{4}{9}[/tex] b ← equation of proportion
when a = 6 , then
6² = [tex]\frac{4}{9}[/tex] b
36 = [tex]\frac{4}{9}[/tex] b ( multiply both sides by 9 to clear the fraction )
324 = 4b ( divide both sides by 4 )
81 = b
The distance between points (x₁, y₁) and (4, 8) is the square root of
(x₁ - 8)² + (₁-4)².
True or False?
The statement is given as the distance between points (x₁, y₁) and (4, 8) is the square root of (x₁ - 8)² + (₁-4)². Hence, the given statement is false, it is √[(x₁-4)² + (y₁-8)²].
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
WE have been given two points.
So,
The distance between points (x₁, y₁) and (4, 8)
D = √[(x-p)² + (y-q)²]
D = √[(x₁-4)² + (y₁-8)²]
But the statement is given as the distance between points (x₁, y₁) and (4, 8) is the square root of (x₁ - 8)² + (₁-4)².
Hence, the given statement is false, it is √[(x₁-4)² + (y₁-8)²].
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What is the value of m, when 2⁶ x 4 = 418
Answer:
The answer should be 3.3/4
Step-by-step explanation:
Which statement best explains the relationship
between lines AB and CD?
They are parallel because their slopes are equal.
• They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes
are
negative reciprocals.
Answer:
They are parallel because their slopes are equal.
Step-by-step explanation:
See attached image.
Which of the numbers below is greater than −7/3? Select all that apply. A) −3 B) −5.5 C) −2 D) −3/2 E) 1.25
Answer:
C, D and E
Step-by-step explanation:
The numbers which are greater than given number are : -2, -1.5, and 1.25.
What is Fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts.
Here, given number: -7/3
or we can write this as -2.33
Now, Converting option fraction value into decimal
A). -3
B) -5.5
C). -2
D). -1.5
E). 1.25
On comparing options from the given value we get
the number which are greater than -2.33; -2, -1.5, and 1.25
Thus, the numbers which are greater than given number are : -2, -1.5, and 1.25.
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Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a .
Triangle X′Y′Z′ then undergoes a transformation to form triangle X′′Y′′Z′′, with vertices X″(4, 2), Y″(4, 3), and Z″(1, 4). The type of transformation that triangle X′Y′Z′ undergoes is a .
Using translation concepts, it is found that the type of transformation that triangle X′Y′Z′ undergoes is a reflection over the x-axis.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
From triangle X′Y′Z′ to triangle X′′Y′′Z′′, the rule is given by:
(x,y) -> (x, -y)
Hence the type of transformation that triangle X′Y′Z′ undergoes is a reflection over the x-axis.
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Solve equation by using the quadratic formula. 6x^2 +2x =4?
A) x= 3/2, 1 B) x= 2/3, -1 C) x=3/2, -1 D) x=3/2, 0
Answer:
Answer x=2/3, -1
Option B
Step-by-step explanation:
Answer:
B) x =( 2/3, -1)
Step-by-step explanation:
Equation:
[tex]6x {}^{2} + 2x = 4[/tex]
Solution:
We know that,
[tex] \rm \: Quadratic \: formula (x)=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
According to the problem,
a = 6b = 2c = -4Plugging them on the formulae,we obtain,
[tex]x = \cfrac{ - 2 \pm \sqrt{ 2 {}^{2} - 4 \{6 \times ( - 4) \} } }{2 \times 6} [/tex][tex]x = \cfrac{ - 2 \pm \: \sqrt{4 - 4 \{ - 24 \} } }{12} [/tex][tex]x = \cfrac{ - 2 \pm \: 10 }{12} [/tex][tex]x = \cfrac{ - 1 \pm5}{6} [/tex][tex]\boxed{x = \cfrac{2}{3} \: \rm or - 1}[/tex]Choice B is accurate.
A driver travels the first 240 km of a 600-km journey at an average speed of 60 km/h. If the time taken for the whole journey is 8 hours 48 minutes, find the average speed for the remaining journey.
Step-by-step explanation:
1)Take the time he is traveling divided by the speed to get the time.
2)Subract the time you have got from the average time,then subtract the average distance from the traveling distance,then divide the two to get the speed.
3)Take the total distance, divide it by the total time to get the average speed.
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.
1 European euro = 1.3687 US dollars
perimeter =
help me please thank u :)
Answer:
[tex]\fbox {Perimeter = 37.92}[/tex]
Step-by-step explanation:
Finding the missing side :
⇒ Take the tan value of the listed angle
⇒ tan 60° = √3 = 6/x
⇒ x = 6/√3 × √3/√3 = 2√3 = 2(1.73) = 3.46
Solving :
⇒ Perimeter = 10 + 2(6 + 3.46)
⇒ Perimeter = 10 + 2(9.46)
⇒ Perimeter = 19 + 18.92
⇒ Perimeter = 37.92
Which expression is equivalent to startfraction (4 p superscript negative 4 baseline q) superscript negative 2 baseline over 10 p q superscript negative 3 baseline endfraction? assume p not-equals 0, q not-equals 0.
The given expression is equivalent to [tex]\frac{p^{7}q}{160}[/tex]
What are indices?
An index is a small number that tells us how many times a term has been multiplied by itself.
The plural of index is indices.
Below is an example of a term written in index form :[tex]4^{3}[/tex]
4 is the base and 3 is the index.
We can read this as ‘4 to the power 3’
Another way of expressing [tex]4^{3}[/tex] is
4 x 4 x 4 = 64
Indices can be positive or negative numbers.
Given expression can be written as [tex]\frac{({4p^{-4}q})^{-2}}{10pq^{-3}}[/tex]
Now to simplify the given fractional expression :[tex]\frac{({4p^{-4}q})^{-2}}{10pq^{-3}}[/tex]
= [tex]\frac{4^{-2}p^{8}q^{-2}}{10pq^{-3}}[/tex] By using the property of exponents is given by:
[tex](a^{m})^{n}=a^{m n}[/tex]
=[tex]\frac{p^{7}q}{10 .16}[/tex] By using the property of exponents given by
[tex]a^{m}a^{n}=a^{m + n}[/tex] and [tex]a^{-m}= \frac{1}{a^{m}}[/tex]
= [tex]\frac{p^{7}q}{160}[/tex]
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what is 2(5+34-67/45*43)^2 equal to?
The value of the give expression is [tex]\frac{313}{748845}[/tex] OR 4.18 × 10⁻⁴
Evaluating an ExpressionFrom the question, we are to determine the value of
2(5+34-67/45*43)^2
This can be written as
[tex]2 (\frac{5+34-67}{45 \times 43 })^{2}[/tex]
First, we will simplify the bracket
[tex]2 (\frac{-28}{1935 })^{2}[/tex]
Then, we get
[tex]2 \times \frac{-28}{1935 }\times \frac{-28}{1935 }[/tex]
= [tex]\frac{1568}{3744225}[/tex]
= [tex]\frac{313}{748845}[/tex] OR 4.18 × 10⁻⁴
Hence, the value of the give expression is [tex]\frac{313}{748845}[/tex] OR 4.18 × 10⁻⁴
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For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?
for the point (16,12) find sin theta and cos theta
Answer:
sinθ = 3/5cosθ = 4/5
Given Point (16, 12) To find Sine and cosine of the angle, using the given coordinatesSolution
Since both of the coordinates are positive, we have:
the angle θ is in the first quadrant, both sine and cosine have positive values;the x-coordinate determines the value of adjacent leg;the y-coordinate determines the value of opposite leg.Find the hypotenuse of the right triangle using values of both legs:
[tex]h=\sqrt{ x^2+y^2}=\sqrt{16^2+12^2}= \sqrt{400} =20[/tex]Find sine:
sine = opposite/hypotenusesinθ = 12/20 = 3/5Find cosine:
cosine = adjacent/hypotenusecosθ = 16/20 = 4/5HELP MOI
MATH WORK=IMPOSSIBLE
PLEASE
Answer:
-32/21
Step-by-step explanation:
First, we can convert -0.35 into a fraction: -35/100, which could be further simplified to -7/20.
Dividing a fraction by another is the same thing as multiplying a fraction by the reciprocal (denominator over numerator) of the fraction. Therefore, we can rewrite this expression as: 8/15 * -20/7
To find the answer to that, you simply multiply the numerators together and the denominators together separately. The final answer is -32/21.
Answer:
-1 11/21
First step:
First, you change the decimal into a fraction. To do that you look at the decimal place at the end of -0.35. The decimal place is hundredths. That means the fraction form of -0.35 is -35/100.
Now to simplify it just find out what both the numbers can be divided by. In this case, 35 and 100 can be divided by 5. If you divide them both by 5 you get -7/20
Fraction form: -7/20
Second step:
Now you just plug it in to the equation.
8/15÷(-7/20)
To solve this you need to change it to multiplication and flip the second fraction.
8/15×(-20/7)
Final step:
Now you multiply the fractions.
8/15×(-20/7)= -32/21 or -1 11/21
Final answer: -1 11/21
Find the simplified product. b-5/2b X b^2+3b/b-5
The simplified product of [tex]\frac{b- 5}{2b} X \frac{b^{2} + 3b }{b - 5}[/tex] is [tex]\frac{(b+3)}{2}[/tex]
How to simplify a product?The products can be simplified as follows;
Multiplying fraction,
[tex]\frac{x}{y} . \frac{a}{b} = \frac{xa}{yb}[/tex]
Therefore,
[tex]\frac{b- 5}{2b} X \frac{b^{2} + 3b }{b - 5} = \frac{(b-5)(b^{2} + 3b )}{(2b)(b-5)}[/tex]
Hence,
Let's reduce the fraction by dividing
[tex]\frac{b- 5}{2b} X \frac{b^{2} + 3b }{b - 5} = \frac{(b-5)(b^{2} + 3b )}{(2b)(b-5)} = \frac{(b^{2}+3b )}{(2b)}[/tex]
Therefore,
[tex]\frac{b- 5}{2b} X \frac{b^{2} + 3b }{b - 5} = \frac{(b-5)(b^{2} + 3b )}{(2b)(b-5)} = \frac{(b^{2}+3b )}{(2b)} = \frac{(b(b+3))}{2b}[/tex]
Hence,
[tex]\frac{b- 5}{2b} X \frac{b^{2} + 3b }{b - 5} = \frac{(b-5)(b^{2} + 3b )}{(2b)(b-5)} = \frac{(b^{2}+3b )}{(2b)} = \frac{(b(b+3))}{2b} = \frac{b+3}{2}[/tex]
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Answer:
A, b+3/2
Step-by-step explanation:
Consider the transformation shown. 2 triangles are shown. The first is labeled pre-image and the second is labeled image. Both triangles have congruent angle measures. The pre-image has side lengths of 6, 10, and 8. The image has side lengths of 3, 5, and 4. Use the drop-down menus to complete the sentence. The transformation is because the preserved
The transformation is nonrigid because the segment lengths are not preserved.
How to determine the transformation?The image related to the question cannot be found. However, the question can still be solved
The given parameters are:
Triangle 1: 6, 10 and 8Triangle 2: 3, 5 and 4From the question, we understand that the side lengths are not equal.
This means that the triangles are dilated.
And the scale factor of dilation is
Scale factor = 6/3 = 10/5 = 8/4
Scale factor = 2
The scale factor of dilation is 2
Dilation is a non rigid transformation.
Hence, the transformation is nonrigid because the segment lengths are not preserved.
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Answer:
The transformation is nonrigid because the segment lengths are not preserved.
Which is equivalent to 4√9 1/2x?
Answer:
second branch..................
hello guys, can you give me the answers
The differentiation of the function y = sin(2 sin⁻¹x) is; dy/dx = d√(1 - y²)]/(√1 - x²)
How to differentiate functions?
1) We want to differentiate the function;
[tex]\frac{\sqrt{x + 1} + \sqrt{x - 1}}{\sqrt{x + 1} - \sqrt{x - 1} }[/tex]
Differentiating this gives;
dy/dx = [tex]\frac{[(\frac{1}{2\sqrt{x + 1}} - \frac{1}{2\sqrt{x - 1}}) * \sqrt{x + 1} + \sqrt{x - 1}]}{(\sqrt{x + 1} - \sqrt{x - 1})^{2} }[/tex]
That can be simplified to get;
dy/dx = [tex]\frac{\sqrt{x + 1} + \sqrt{x - 1} }{(x - 1)\sqrt{x + 1} + (-x - 1) \sqrt{x - 1}}[/tex]
2) We want to differentiate the function;
y = sin(2 sin⁻¹x)
Differentiating the function gives;
dy/dx = [2cos(2 sin⁻¹x)]/√(1 - x²)
We know from trigonometric identity that;
cos²x = 1 - sin²x
Thus;
1 - sin²(2 sin⁻¹x) = cos²(2 sin⁻¹x)
But sin²(2 sin⁻¹x) = y²cos²(2 sin⁻¹x)
Thus; √(1 - y²) = cos(2 sin⁻¹x)
dy/dx = d√(1 - y²)]/(√1 - x²)
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help honestly MARKING BRAINLIESt
Answer:
See below ~
Step-by-step explanation:
a) Forming the equation :
⇒ We start with a number, x
⇒ Now we double it so : 2(x) = 2x
⇒ Then we add 11 to it : 2x + (11) = 2x + 11
⇒ It is equal to 25 : 2x + 11 = 25
b) Solving the equation :
Subtract 11 from both sides :
⇒ 2x + 11 - 11 = 25 - 11
⇒ 2x = 14
Divide 2 on both sides :
⇒ 2x/2 = 14/2
⇒ x = 7
Let unknown number be x
Double it
2xAdd eleven
2x+11You got 25
2x+11=25Lets solve the equation
2x=25-112x=14x=7constant equality 123
Answer:
using the identity (a±b) ² = a² + b² ± 2ab1) X² + 1 - 2X
2).x² + 4 - 4x
3) 9 + x² - 6x
4) y² + 16 - 8y
5) 4x² + 1 - 4x
6) 9 + 4y² - 6y
7) 4x² + y²- 8y
8) 1 + 16a² - 8a
9) 9x²+ 4y² - 12xy
10) -x²- 16y² + 8y
11) -x²- 25y + 10xy
what function does this graph represent?
Answer:
D
Step-by-step explanation:
The vertex is at (-2,4), so substituting into vertex form, only C and D match.
Also, the graph opens down, so the coefficient of x² is negative.
This eliminates C, leaving us with D
Find the mean of the following group of numbers: 6. 1, 5. 9, 4. 2, 5. 9, and 10. 7. Round your answer to the nearest tenth
Answer:
6.6
Step-by-step explanation:
the "mean" of a data set is what we commonly refer to as the average. We find this estimate of values by adding up all of the values of the data set, and then dividing by the number of values we added together.
{for example: the mean [average] of 1, 5, 6:
1 + 5 + 6 = 12
12 ÷ 3 [we have 3 numbers] = 4}
our values:
6.1 ; 5.9 ; 4.2 ; 5.9 ; 10.7
> 6.1 + 5.9 + 4.2 + 5.9 + 10.7 = 32.8
[we have 5 numbers]
32.8 / 5 = 6.56
when rounding a number, we look to the digit one place to the right. If it is greater than or equal to 5, we "round up" our digit [we move it up to the next digit]
if it is less than 5, we keep our digit the same
(the tenths place = _ . _ _ _ ones. tenths)
so if we round 6.56 to the nearest tenth:
6.56
[6 > 5]
6.6
So, the mean of this data set rounded to the nearest tenth is 6.6
hope this helps!!
If angle D is an acute angle and its tangent ratio is 1.055, then what is the measure of angle D to the nearest tenth of a degree?
The measure of angle D to the nearest tenth of a degree is 47 degrees
Application of SOH CAH TOAThis theorem is used to determine the measure of sides and angles of a triangle.
According to the theorem
tan theta = opp/adj = 1.055
theta = arctan(1.055)
theta = 46.53 degrees
Hence the measure of angle D to the nearest tenth of a degree is 47 degrees
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How to graph the linear inequality
Step-by-step explanation:
here I have done you can check it out