Help plz ASAP I WILL GIVE U BRAINLY!! <333
Rectangular coordinates (StartRoot 3 EndRoot, StartRoot 3 EndRoot) and polar coordinates (r, theta) = (StartRoot 6 EndRoot, StartFraction pi Over 4 EndFraction) both represent the same complex number z.
Which set of equations demonstrates why both sets of coordinates represent the same number?
A.) r = StartRoot 3 EndRoot + StartRoot 3 EndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (1) = StartFraction pi over 4 EndFraction
B.) r = StartRoot 3 EndRoot + StartRoot 3 EndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (StartRoot 3 EndRoot) = StartFraction pi over 4 EndFraction
correct one - C.) r = StartStartRoot (StartRoot 3 EndRoot) squared + (StartRoot 3 EndRoot) squared EndEndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (1) = StartFraction pi Over 4 EndFraction
D.) r = StartStartRoot (StartRoot 3 EndRoot) squared + (StartRoot 3 EndRoot) squared EndEndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (StartRoot 3 EndRoot) = StartFraction pi Over 4 EndFraction
Answer:
It is C. r = StartStartRoot (StartRoot 3 EndRoot) squared + (StartRoot 3 EndRoot) squared EndEndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (1) = StartFraction pi Over 4 EndFraction
Step-by-step explanation:
edge2020
The rectangular coordinates (√3,√3) and polar coordinates (√6,[tex]\frac{\pi}{4}[/tex]) represent the same complex number z=x+iy because,
[tex]r=\sqrt{(\sqrt3)^2+(\sqrt3)^2}=\sqrt6[/tex] and,
[tex]\theta=\arctan(\frac{\sqrt3}{\sqrt3})=\arctan(1)=\frac{\pi}{4}[/tex]
The question is not written in an understandable manner look at the question in the below-given image.
What is polar coordinate?In terms of Cartesian coordinates, the polar coordinates r (the radial coordinate) and θ (the angular coordinate, often known as the polar angle),
x = rcosθ
(1)
y = rsinθ,
(2)
where r is the radial distance from the origin and θ is the counterclockwise angle from the x-axis. In relation to x and y,
[tex]r=\sqrt{x^2+y^2}[/tex]
(3)
[tex]\theta=\arctan(\frac{y}{x})[/tex]
How to solve it?Using the above explanation of polar coordinates we have that
[tex]r=\sqrt{(\sqrt3)^2+(\sqrt3)^2}=\sqrt6[/tex] and
[tex]\theta=\arctan(\frac{\sqrt3}{\sqrt3})=\arctan(1)=\frac{\pi}{4}[/tex]
Learn more about polar coordinates here-
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(6d+5) – (2 – 3d) =
Answer:
9d + 7
Step-by-step explanation:
(6d + 5) - (2 - 3d)
= (6d - (-3 d))+ (5 - 2)
= (6d + 3d) + 3
= 9d + 3
Find the formula, in standard form y = ax2 + bx + c, for a quadratic that has roots at x = -2 and x = 7,
and has leading coefficient of 1.
y =
Answer:
[tex]y = x^2 - 5x - 14[/tex]
Step-by-step explanation:
Given
[tex]x = -2[/tex] and [tex]x = 7[/tex]
Required
Determine the quadratic equation with a leading coefficient of 1
First, we equate both expression to 0
[tex]x = -2[/tex] and [tex]x = 7[/tex] becomes
[tex]x + 2 = 0[/tex] and [tex]x - 7 = 0[/tex]
Multiply both expressions:
[tex](x + 2) * (x - 7) = 0 * 0[/tex]
[tex](x + 2) (x - 7) = 0 * 0[/tex]
Open Brackets
[tex]x^2 - 7x + 2x - 14 = 0[/tex]
[tex]x^2 - 5x - 14 = 0[/tex]
Hence, the quadratic equation is:
[tex]x^2 - 5x - 14 = 0[/tex]
or
[tex]y = x^2 - 5x - 14[/tex]
The formula, in standard form y = ax^2 + bx + c, for a quadratic that has roots at x = -2 and x = 7 is y = x² - 5x + 14
Given the standard form of quadratic equation expressed as [tex]ax^2 + bx+c =0[/tex]
If a quadratic that has roots at x = -2 and x = 7, then their factors will be x+ 2 and x - 7.
Taking the product of the factors will give:
f(x) = (x+2)(x-7)
f(x) = x² - 7x + 2x - 14
f(x) = x² - 5x + 14
Hence the formula, in standard form y = ax^2 + bx + c, for a quadratic that has roots at x = -2 and x = 7 is y = x² - 5x + 14
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A parabola with its vertex at (24,10) and its axis of symmetry parallel to the y-axis passes through point (4,290). Write an equation of the
parabola. Then find the value of y when x = 34.
Answer:
Not executable
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
so the equation of parabola with the vertex (24, 10) is :
f(x) = a(x - 24)² + 10
the parabola's axis of symmetry parallel to the y-axis and passing through point (4,290) means: h = 4
4 ≠ 24That means you write something wrong in your question.
42 + (23+ ((-1)-(9+(-5))))
Help me how do u solve this?
Answer:
60
Step-by-step explanation:
Answer:
68? i might be wrong, I did it all in my head sooo sorry if it's wrong-
Identify the function shown in this graph.
5
3
2
1
-544 -3 -2 -1
1
2
3
4 5
-2
-3
-5
A. y = -x-4
B. y = x - 4
c. y = x+ 4
O D. y = -x + 4
SUBMIT
The graph of y=f(x) is shown below. Which point could be used to find f(-2)
Answer:
Point B
Step-by-step explanation:
In the graph of y = f(x),
For every x-value (input value), value of the function is the y-value (output value).
For the input value x = -2,
Output value of the function will be,
y = 2
f(-2) = 2
Therefore, point B will represent the input-output values of the function.
A baseball player successfully hits the ball 30% of the time. If he gets 450 chances to hit the ball in a season, what is the total number of times he will successfully hit the ball?
Answer:
135
Step-by-step explanation:
450 *.3
Please help me with this equation
Answer:
u just expand the brackets out and make a linear equation to solve from there
Step-by-step explanation:
(q^4)^z= 9^12
Find the value of z.
Answer:
z=12
Step-by-step explanation:
Tell me what number can you multiply q (unknown value) and 4 to get 9 and 12.... 3 right? 3x3 is?? 9 exactly. 3x4 is??? 12 boom
The Miller's budget $90,240 annually. If both Mr. And Mrs. Miller each work 160 hours per month, what is the average hourly wage needed to meet the budget? Round to the nearest cent.
Answer:
$23.50 per hour
Step-by-step explanation:
Since they both work this amount per month and the budget is based on their combined salary then we can combine this amount of hours for two people. Therefore, Mr. and Mrs. Miller work 320 hours each month together. There are a total of 12 months in a year meaning that ...
320 * 12 = 3,840 hours
Mr. and Mrs. Miller work a total of 3,840 hours per year. Therefore in order to meet their budget, they need to make an hourly wage of ...
90,240 / 3,840 = $23.50
pz answer me n-i-g-g-a
Answer:
There is no question can u edit
Step-by-step explanation:
Select all the comparisons that are correct.
Check all that are true.
0.5 inches > 0.60 inches
0.10 inches
0.1 inches
0.75 inches > 0.6 inches
0.9 inches < 0.85 inches
0.2 inches < 0.28 inches
Answer:
a b e i think
Step-by-step explanation:
Need help!!! Plzzz Help mee
pls help me !!! asap
Answer:
Point Q
Step-by-step explanation:
Answer:
It’s point P
Step-by-step explanation:
The square root of 92 is in a point between the square root of 81 which is 9 and the square root of 100 which is 10 you it is best to estimate that the square root of 92 is aprox 9.6 which is point P
Is 22 miles per hour a rate or a unit rate?
Answer: yes it is
Step-by-step explanation:
What is the quotient of the polynomial
85-68x
-------------
4x-5 ?
A parallelogram is a quadrilateral with two pairs of parallel sides.
A quadrilateral is a parallelogram _[blank]_.
Which answer correctly fills in the blank in the previous sentence?
A) because it has only four sides and two of them are parallel
B) if it has two pairs of parallel sides and is a polygon
C) if it has only two pairs of parallel sides
D) if and only if it has two pairs of parallel sides
Answer:
C
Step-by-step explanation:
The quadrilateral is a parallelogram if and only if it has two pairs of parallel sides option (D) is correct.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
It is given that:
A parallelogram is a quadrilateral with two pairs of parallel sides.
As we know,
The quadrilateral can be defined as the four-sided polygon in geometry having four edges and four corners.
The quadrilateral, has:
Two pairs of congruent sides.
It has one pair of opposite congruent angles.
The diagonals of a kite are perpendicular.
One diagonal is bisected.
The top and bottom angles are bisected but does not have congruent diagonals.
A quadrilateral is a parallelogram if and only if it has two pairs of parallel sides.
Thus, the quadrilateral is a parallelogram if and only if it has two pairs of parallel sides option (D) is correct.
Learn more about the parallelogram here:
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Please help due soon! I'm giving brainliest answer :)
Answer:
the third one
Step-by-step explanation:
Triangle GHJ with vertices G(-1, 3), H(4, -12), and J(3, -1) is dilated by a factor of 1/3 centered at the origin. What are the coordinates of G' after the dilation?
Answer:
The coordinates of Good after dilation will be (-1/3,1)
Step-by-step explanation:
Here, we want to get the coordinates of the point G after dilation
Mathematically, that would be having 1/3 multiply the coordinates of G
G’ = 1/3 (-1,3)
G’ = (-1/3 , 1)
i need help with these
Answer:
7+4=11
Step-by-step explanation:
12/3 equalls 4 because the 12÷3=4.
Help ME plaese :D ::D TOOOOT TOOOT
Answer:
52
you have to find the area i hope i helped
What is the rectangular form of r=8sin(0)
Step-by-step explanation:
the regular form of r=8
How much will a sub and a soda cost when you have a coupon for 30 cents off the total price? (Hint - Write 30 cents as a decimal.)
Answer:
0.3 cents
Step-by-step explanation:
move the decimal over two places
Solve the equation below.
f(x)=2-x
Answer:
Either 1 or 0
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
The question is in the image! Please help if u can its due really soon
Answer:
88°
Step-by-step explanation:
m∠AOB = m∠DOE = 88°
hellllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllpppppppppppppppppppppppppppppp
Answer:
f(x) = |x| + 8
Step-by-step explanation:
Gotta love that ixl right! hahaha #hateit4u
I had to use it in 8th grade, IT SUCKED!!!
find the value of "x" so that h(x)=-4x+3 has a value of 11
Answer:
x=-2
Step-by-step explanation:
11=-4x+3
8=-4x
8/-4=-4x/-4
-2=x
what are the possible values of x in 2x^2-8=10
Answer:
3, -3
Step-by-step explanation:
Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. X=2y-7 and 4x+y=71
Answer:
(15, 11).
Step-by-step explanation:
Given the system of equation;
X=2y-7 ..... 1
4x+y=71 ....2
Substitute 1 into2;
4(2y-7) + y = 71
8y - 28 + y = 71
9y - 28 = 71
9y = 71 + 28
9y = 99
y = 11
Substitute y = 11 into 1;
x = 2y - 7
x = 2(11)-7
x = 22-7
x = 15
hence the solution to the equation is (15, 11).