Answer:
[tex]x = -\frac{15}{2}[/tex]
Step-by-step explanation:
Hello!
The formula for the AOS is given to you, and you simply have to plug in the information given by the equation.
Equation of a Parabola (Standard): [tex]y = ax^2 + bx + c[/tex]
Comparing it to our equation:
a = 1b = 15c = 3Plug it in to the AOS formula:
[tex]x = \frac{-b}{2a}[/tex][tex]x = \frac{-15}{2(1)}[/tex][tex]x = -\frac{15}{2}[/tex]You only have to input 15 in to the correct box since the negative sign is already placed for you.
What is the value of m, when 2⁶ x 4 = 418
Answer:
The answer should be 3.3/4
Step-by-step explanation:
Please help worth my math
a)QM and PM
b)QMN and NMQ
c)M
trigonometry is so hard help me
Answer:
The answer is tanx
Step-by-step explanation:
This is because, when you graph the trigonometric functions, which can be reresented as: a*(trig sign)*bx + K, the period of the function for sin, cos, csc, and sec are all 2pi divided by "b". However, the formula to find the function of tan or cot graphs is pi divided by b. And, since we don't see any values being multilied to the x in the choices, and we calculate the period for each of them, it concludes that tanx, has a period of pi
simplify to create an equivalent expression "-4(-11+4n)-3(-2n+9)"
The expression -4 (-11 + 4n) – 3(- 2n + 9) is equivalent to the expression 17 — 10n.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ -4 (-11 + 4n) – 3(- 2n + 9)
On simplifying, we have
⇒ 44 – 16n + 6n – 27
⇒ 17 — 10n
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How would you describe the red paths pictured below? ( The picture above)
A. Perpendicular
B. None are correct
C. Parallel
D. Intersecting
Answer:
perpendicular
Step-by-step explanation:
A dilation maps (9, 12) to (3, 4). Find the coordinates of the point (8, 4) under the same dilation
Assuming the dilation is centered at the origin, the scale factor is 1/3.
This means the coordinates of the point (8,4) are [tex]\boxed{\left(\frac{8}{3}, \frac{4}{3} \right)}[/tex]
I need this to be solved please and thank you
Answer:
30
Step-by-step explanation:
Area of a triangle = (base length × height)/2
Given base length = 5 and given height = 12
So area = (5×12)/2
==> multiply 12 and 5
Area = (60)/2
==> divide 60 by 2
Area = 30
Step-by-step explanation:
please mark me as brainlest
(28÷4)+3+6x5
tell accordingly the correct answer will be marked as brainliest answer
im always having problems with this i need someone to explain please
For every meter there are 3.281 feet. The perimeter of the yard is 188ft. Divide 188 by 3.281 and you get 57.3 (rounded to 1dp). Round that up to the nearest meter and you get 58. So, Mr Smith needs 58 meters of fencing for his yard.
Write the rationalized expression of:
Answer:
A
Step-by-step explanation:
First, simplify the numerator:
[tex]\frac{3 }{\sqrt{3} + \sqrt{x} } \\[/tex]
Next, multiply the numerator and denominator by the opposite of the denominator to rationalize the expression.
[tex]\frac{3}{\sqrt{3}+\sqrt{x} }*\frac{\sqrt{3}-\sqrt{x} }{\sqrt{3}-\sqrt{x}}[/tex]
Finally, evaluate the denominator by multiplying them together.
[tex]\frac{3(\sqrt{3}-\sqrt{x})} {(\sqrt{3}+\sqrt{x})(\sqrt{3}-\sqrt{x})}[/tex]
Simplify:
[tex]\frac{3(\sqrt{3}-\sqrt{x})} {3-x}[/tex]
And done! :)
the sum invested in CI becomes ₹ 2420 in 2 years and ₹ 2662 in 3 years. Find the sum and rate of interest.
Answer:
equate two simultaneous equations for r and solve
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 40 km south and 113 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
5.12 minutes ≈ 5 minutes 7.2 seconds
What is Distance?Distance. The length along a line or line segment between two points on the line or line segment.
Here, The flight path of the airplane is along the line ...
y = -125/135x = -25/27x
The perpendicular line through Mt. Rainier's location is ...
y = 27/25(x -56) -40
In standard form, these two equations are ...
25x +27y = 0
27x -25y = 2512
The point of closest approach has the coordinates that are the solution to these two equations:
(x, y) = (33912/677, 31400/677)
The distance d from the origin to this point is given by the Pythagorean theorem (distance formula) as ...
d = 1256√(2/677) . . . . . km
This distance can be converted to time using the speed of the airplane:
1256√(2/677) X 60/800 = 94.2√(2/677) ≈ 5.120019 mins
Thus, 5.12 minutes after departing JBLM you will be closest to Mt. Rainier.
The attached graph shows the geometry of the problem.
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a= help me please thank u
Step-by-step explanation:
the circumference of a whole circle is
2×pi×r
with r being the radius. which is in our case a.
so,
2×pi×a
the part arc of just a sector of the circle is just the angle/360 part (as the whole circle is 360°).
we therefore know
27×pi = 2×pi×a × 60/360 = 2×pi×a × 1/6 = pi×a × 1/3
3×27×pi = pi×a
81×pi = pi×a
a = 81
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of when x is 11?
Answer:
[tex]\frac{18}{5}[/tex] (11)
Step-by-step explanation:
If it varies directly, you need to find k, the constant of proportionality.
This is done by plugging the values in for x & y that are known.
y = kx
18 = k(5)
[tex]\frac{18}{5}[/tex] = k
Now solve for y when x is 11.
y = [tex]\frac{18}{5}[/tex] (11)
y = 39.6
Jack is reading a book. In ¾ of an hour, he finished 66 pages. If he keeps reading at the same rate, how many total pages will Jack read in one hour?
If a₁ = 4 and an = 5an-1 then find the value of a5.
The value of [tex]a_{5}[/tex] is 2500, when [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].
Given that, [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].
We need to find the value of [tex]a_{5}[/tex].
What is an arithmetic sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Now, to find the value of [tex]a_{5}[/tex] :
[tex]a_{2} =5a_{2-1}=5a_{1}=5 \times4=20[/tex]
[tex]a_{3} =5a_{3-1}=5a_{2}=5 \times20=100[/tex]
[tex]a_{4} =5a_{4-1}=5a_{3}=5 \times100=500[/tex]
[tex]a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500[/tex]
Therefore, the value of [tex]a_{5}[/tex] is 2500.
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need help asap! QUESTION BELOW
The IQR for male data is 10, the estimated difference between medians is 2, the box plot for males is symmetric and for females, the box plot is left side skewed.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
From the box plot:
Part A:
IQR for males data:
IQR = Q3 - Q1
The estimated value of Q3 is 15 (between 10 and 20)
The estimated value of Q1 is 5 (between 0 and 10)
IQR = 15 -5 = 10
Part B:
= Median(male) - Median(femal)
= 10 - 8
= 2
Part C:
The box plot for males is symmetric and for females, the box plot is left side skewed.
Part D:
There can be holidays for the outliers
Thus, the IQR for male data is 10, estimated difference between medians is 2, the box plot for males is symmetric and for females, the box plot is left side skewed.
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Gavin and Mark have played 28 tennis matches.
Gavin has won 17 times.
Mark won the rest.
a) Estimate the probability that Gavin wins.
b) Estimate the probability that Mark wins.
OP(Gavin wins)=
P(Mark wins)=
HELP PLEASEEEE!!!!
If PQRS is a quadrilateral inscribed in a circle then the opposite angles of the quadrilateral are_____?
The values of x and y are _____ degrees and ______ degrees respectively.
Answer:
x: 98 y: 112
Step-by-step explanation:
Supplementary angles add up to 180 so:
x + 82 = 180
x = 98
And:
y + 68 = 180
y = 112
Answer:
supplementary, 98°, 112°
Step-by-step explanation:
Opposite angles of a quadrilateral inscribed in a circle are supplementary, i.e., they add up to 180°.
∴ x° + 82° = 180°
x = 180° - 82°
x = 98°
y° + 68° = 180°
y = 180° - 68°
y = 112°
The composition Do,0.75(x,y). Do,2(x,y) is applied to LMN to create L”M”N”
Transformation involves changing the position and size of a shape.
The true statements are:
∠m≅∠m'Δlmn≅Δl'm'n'The coordinates of n" are .N''(3,-1.5)The complete question is as follows:-
The composition do,0.75(x,y) ∘ do,2(x,y) is applied to △lmn to create △l''m''n''. which statements must be true regarding the two triangles? check all that apply. ∠m ≅ ∠m'' △lmn ~ △l''m''n'' △lmn ≅ △l''m''n'' the coordinates of vertex l'' are (-3, 1.5). the coordinates of vertex n'' are (3, -1.5). the coordinates of vertex m'' are (1.5, -1.5).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
The coordinates of the triangle are:
L =(-1,2)
M = (-1,-1)
N = ( 2,-1)
The transformation rule is given as:
do 0.75 (x,y) 2 (x,y)
The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.
Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:
∠l≅∠l''
∠m≅∠m''
∠n≅∠n''
Δlmn⇒Δl'm'n'
The above highlights mean that:
The angles of both triangles are congruent
The triangles are similar
Next, we apply the rule on the coordinates of the triangle
L'' = 0.75 x 2 x (-1,2)
L'' = ( -1.5,3)
M'' = 0.75 x 2 x (-1,-1)
M'' = ( -1.5 , -1.5)
N'' = 0.75 x 2 x (2,-1)
N'' = (3 , -1.5)
Hence, the true statements are: The coordinates of n" are.
∠m≅∠m'Δlmn≅Δl'm'n'The coordinates of n" are . N''(3,-1.5)Read more about transformations at:
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How could you solve this problem?
2 × 3 × 4
Check all that are true.
Multiply 3 × 4 to get 12 and then multiply 12 × 6.
Multiply 2 × 3 to get 6 and then multiply 6 × 12.
Multiply 3 × 4 to get 12 and then multiply 12 × 2.
Multiply 2 × 3 to get 6 and then multiply 6 × 4.
Multiply 2 × 3 to get 6, multiply 3 × 4 to get 12, and then multiply 6 × 12.
Step-by-step explanation:
multiply 2×3 to get 6 and then multiply 6×4
or
multiply 3×4 to get 12 and then multiply 12×2
How many complex roots does the equation 0=3x5−x4−5x2+1 have?
The given polynomial equation 3x⁵ − x⁴ − 5x² + 1 = 0 has two complex roots.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The given polynomial equation below is:
0 = 3x⁵ − x⁴ − 5x² + 1
3x⁵ − x⁴ − 5x² + 1 = 0
The given polynomial equation is a polynomial of degree 5.
The simplest method is to solve it graphically using a graphing program.
Clearly, the polynomial equation is a degree 5 equation, hence it has a maximum of 5 roots.
We may now locate the roots of the equation using the graph.
Since there are 3 real roots, the remaining are two complexes, so there are 2 complex roots
Hence, the given polynomial equation 3x⁵ − x⁴ − 5x² + 1 = 0 has two complex roots.
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help me now I need answer IMG
The height of the shorter cone is 6.81cm
What is a cone?A cone is hollow three-dimensional shape with side lengths that tappers from the base to a point at the vertex.
Analysis:
Let the radius of the first cone be = r
radius of shorter cone = R
height of first cone = h
height of shorter cone = H
if volume of the two cones are same
1/3π[tex]r^{2}[/tex]h = 1/3π[tex]R^{2}[/tex]H
[tex]r^{2}[/tex]h = [tex]R^{2}[/tex]H
H = [tex]r^{2}[/tex]h / [tex]R^{2}[/tex]
H = [tex](8.5)^{2}[/tex]x 10 / [tex](10.3)^{2}[/tex] = 6.81cm
In conclusion, the height of the shorter cone is 6.81cm
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What is the asymptote of the following function: Y = e^x-x
Answer:
y = -x
Step-by-step explanation:
Breaking down the equation
[tex]y=e^x-x[/tex] can be written as [tex]y=e^x + (-x)[/tex], making it more clear that this function is composed of two functions:
An exponential function, and a linear functionasymptotes of the parts
The regular exponential function normally has an asymptote at y=0, a horizontal line because as "x" gets more and more negative, e^(x) gets closer and closer to zero (see blue graph). This asymptotic behavior perhaps can be more easily understood by recognizing that [tex]e^{-x}[/tex] is equivalent to [tex]\dfrac{1}{e^x}[/tex], so that as the x values get more and more negative, it is effectively dividing 1 by a larger and larger number, thus getting closer and closer to zero.
In this situation, that exponential function is added to "-x", which is a linear function with a slope of negative 1.
As the left end of the exponential function gets closer and closer to zero, the exponential part contributes almost nothing to the sum, whereas as the "x" gets more and more negative, the linear function "-x" gets more and more positive (linearly). Since the exponential piece adds almost nothing to it (when moving to the left), the combined function is essentially "-x" (although it is ever so slightly greater than it, just as it was ever so slightly greater than zero) (see pink graph, with dashed asymptote).
Clarifications
To be clear, on the right side of the graph, the exponential part of the function completely overwhelms the linear piece, and the function behaves much more like an exponential function, nearly completely masking the behavior of the linear piece. Since an exponential function is unbounded, and the domain of both the exponential and linear functions are all real numbers, on the right side of the graph, there is no asymptotic behavior.
What is the answer? Thank you in advance
Coordinates are numerical lengths or angles that uniquely identify locations on two-dimension. The missing coordinates are coordinates 3 and 4.
What is the best way to understand the Cartesian coordinate plane?A Cartesian coordinate plane is a two-dimensional plane with infinite dimensions. On an endless 2d plane, any two-dimensional figure may be drawn. A location is assigned to each point on a Cartesian plane.
It is the perpendicular distance between that point and the horizontal and vertical axes, which are commonly referred to as the x-axis and y-axis.
Location is then written as (a,b), where 'a' is the point's shortest distance from the y-axis, 'b' is the point's shortest distance from the x-axis, and 'c' is the point's shortest distance from the x-axis.
Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ).
Mathematics, scientists, and engineers frequently employ a variety of coordinate systems.
Hence the missing coordinates are coordinates 3 and 4.
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Plsssssss answerrrrr
the answer I knew but I forgot at ate
please help me with this problem!
Answer:
The choice A ;
[tex] \frac{1}{ {7}^{8} } [/tex]
Step-by-step explanation:
[tex] \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{ {7}^{ - 6 - 2} }{1} = {7}^{ - 8} = \frac{1}{ {7}^{8} } \\ \\ \\ or. \: \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{1}{ {7}^{ 2 + 6} } = \frac{1}{ {7}^{8} } [/tex]
Hii!
Answer:
Step-by-step explanation:
Use the rule of exponents.
If we divide two numbers with the same bases, we subtract the exponents.
7^-6/7^2=7^-6-2=7^-8
Now, if we have a negative exponent, we flip over the number.
7^-8=1/7^8
Great job!
—
Hope that this helped.
MARKING BRAINLIEST TO FIRST CORRECT ANSWER If quadrilateral JKLM had a translation where all the vertices were in the third quadrant, what would be the coordinates of the vertices?
If quadrilateral JKLM were in third quadrant then the coordinates will be (-1,0),(-4,-1),(-4,-2)(-1,-2)
Given Quadrilateral JKLM is in fourth quadrant and coordinates (1,0),(4,-1),(4,-2)(1,-2)
We know that the coordinates of x used to negative in third quadrant and positive in fourth quadrant. Coordinates of y used to negative in third and fourth quadrant.
So in order to change the coordinates from fourth to third we need to change the coordinates of x axis to negative and the coordinates will be :
Coordinates of J will change from (1,0) to (-1,0)
Coordinates of K will change from(4,-1) to (-4,-1)
Coordinates of L will change from (4,-2) to (-4,-2)
Coordinates of M will change from (1,-2) to (-1,-2).
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Solve the system of equations using the elimination method. 1.Solve {x + 3y = -15
{-3x + 2y = 23
Step 1- Multiply the equations to make the coefficients
match in either the x- or y-variable.
Step2- After you multiply, add or subtract the two equations.
Step 3- Then solve for the variables that is left.
The solution is ( , )?
check the solution in both original equations by using algebra
An equation is formed of two equal expressions. The solution is (-9,-2).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the equation x + 3y = -15 and -3x + 2y = 23,
Step 1- Multiply the equations to make the coefficients match in either the x- or y-variable.
x + 3y = -15
3x + 9y = -45
Step2- After you multiply, add or subtract the two equations.
3x + 9y -3x + 2y = -45 + 23
Step 3- Then solve for the variables that is left.
11y = -22
y = -2
Step4- Substitute the value of y in any one of equations to solve for x.
x + 3(-2) = -15
x - 6 = -15
x = -9
Hence, The solution is (-9,-2).
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Is y = 3 the solution to
3y + 10 = -5y – 14
Answer:
No, the solution is -3.
Step-by-step explanation:
3y+10=-5y-14
We move all terms to the left:
3y+10-(-5y-14)=0
We get rid of parentheses
3y+5y+14+10=0
We add all the numbers together, and all the variables
8y+24=0
We move all terms containing y to the left, all other terms to the right
8y=-24
y=-24/8
y=-3
Answer:
y = - 3
Step-by-step explanation:
3y + 10 = - 5y - 14 ( add 5y to both sides )
8y + 10 = - 14 ( subtract 10 from both sides )
8y = - 24 ( divide both sides by 8 )
y = - 3