Answer:
[tex]z = 1 - \sqrt{3} i \\ {z}^{3} = (1 - \sqrt{3} i) ^{3} \\ =(1 - \sqrt{3} i)(1 - \sqrt{3} i)(1 - \sqrt{3} i) \\ open \: brackets \\ = (1 - 2 \sqrt{3} i + ( { \sqrt{3} i})^{2} )(1 - \sqrt{3} i) \\ but \: {( \sqrt{3}i) }^{2} = - 3 \: since \: {i}^{2} \: is \: - 1 \: in \: complex \: numbers \\ = (1 - 2 \sqrt{3} i - 3)(1 - \sqrt{3} i) \\ = ( - 2 - 2 \sqrt{3} i)(1 - \sqrt{3} i) \\ = ( - 2 + 2 \sqrt{3} i - 2 \sqrt{3} i + 2( { \sqrt{3} i)}^{2} ) \\ = - 2 - 6 \\ = - 8[/tex]
Answer:
A
Step-by-step explanation:
Edge 2023
if 12 is to 3 as 61 is to
Answer:
15.25
Step-by-step explanation:
Could i get brainliest :D
Answer:
HOPE IT HELPS
HAVE A NICE DAY
Quadratics Help!!! (Number 11)
Answer:
a) 2x + 1, 4x + 7
b) L = 19 cm, W = 7 cm, A = 133 cm^2
Step-by-step explanation:
8x^2 + 18x + 7
ax^2 + bx + c
ac = 8 * 7 = 56
56 = 4 * 14
8x^2 + 18x + 7 =
= 8x^2 + 14x + 4x + 7
= 2x(4x + 7) + 1(4x + 7)
= (2x + 1)(4x + 7)
a) 2x + 1, 4x + 7
b)
2(3) + 1 = 7
4(3) + 7 = 19
A = LW = 19(7) = 133
worth 10 points !! need help asap !graph: y < 2/3x + 1
Quadrilateral ABCD is dilated by a scale factor of 3/2 to create quadrilateral A'B'C'D'. If quadrilateral ABCD has an area of 30, what is the area of quadrilateral A'B'C'D'?
Answer:
67.5
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the enlargement or reduction of an object by a factor.
The area of ABCD = AB * BC = 30
As a result of the dilation to form A'B'C'D', A'B' = 3/2 * AB, B'C' = 3/2 * BC, C'D' = 3/2 * CD and A'D' = 3/2 * AD. Hence:
Area of A'B'C'D' = A'B' * B'C' = 3/2 * AB * 3/2 * BC = 9/4 * (AB * BC) = 9/4 * 30 = 67.5
Answer:
the transformation quadrilateral ABCD undergoes is a reflection.
Step-by-step explanation:
It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of -418−418minus, 418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 884888488848 meters. It takes 209209209 seconds to boil a perfect egg there. T(a)T(a)T, left parenthesis, a, right parenthesis models the time (in seconds) it takes to boil a perfect egg at an altitude of aaa meters.
Given that,
An egg takes 198 seconds to boil a perfect egg has an altitude of -418 m.
Also it takes 209 seconds at an altitude of 8848 m.
To find,
The domain of T.
Solution,
Domain is the set of input values for which the function is defined. The least value is -418 m and the highest value is 8848 m. So, the domain is :
[tex]-418\le x \le 8848[/tex]
Therefore, this is the required solution.
Answer:
real numbers
−418≤a≤8848
Step-by-step explanation:
If a car travels 400 meters in 20 seconds how fast is it going?
Answer:
[tex]\huge\boxed{\sf v = 20\ m/s}[/tex]
Step-by-step explanation:
Given Data:
Distance = S = 400 m
Time = t = 20 secs
Required:
Speed = v = ?
Formula:
v = S/t
Solution:
v = 400 / 20
v = 20 m/s
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807The ordered pair (x – 3, y + 1) was used to translate an object. To find the pre-image of the object, you would need to move _____.
A three units left and one unit up
B three units down and one unit right
C three units left and one unit down
D three units right and one unit down
4.752 x 10"
Standard form
Answer:
475200000000
Step-by-step explanation:
it is 10 the power of 11 right
What is the area of the trapezoid?
6 feet
8 feet
10 feet
1. 80 ft 2
2. 60 ft 2
3. 24 ft 2
4. 64 ft 2
Please helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
21
Step-by-step explanation:
Remember that the centroid splits the 3 medians of a triangle into a ratio of 1:2
Since TS < TN, TS = 42/2 = 21
kevin has a part time job
he earns £8 an hour
he wants to buy a new bike costing £176
how many hours does he need to work to earn enough to but it?
find the measure of
a. 180 degrees
b. 149 degrees
c. 63 degrees
d. 32 degrees
Answer:
31 Degrees
Step-by-step explanation:
63+86= 149
180-149=31
The length of a park is 12 kilometers. What is the length of the park in meters?
Answer:
12,000
Step-by-step explanation:
There are 1,000 meters in a kilometer. So, if you have 12 kilometers, that's 12,000 meters.
Answer:
12000
Step-by-step explanation:
One kilometer = 100 meters 12 times 1000 = 1200
X increased by 61% PLEASE YALL
I think it's
1.61x
plsbrainliest if it helped!
1.) Identify the degree of the term 3xy4
Triangle ABC is a right triangle. Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees. What is the relationship between angles A and B?
Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90°
∠ CBA = 31° and ∠ BAC = 59° , sum to 90° (31° + 59° = 90° )
Thus
∠ A and ∠ B are complementary angles
Answer: They are complementary
Step-by-step explanation: took the test on edge!
The two equilateral triangles below are similar figures. What is the scale factor from the small triangle on the left to the large
triangle on the right? The triangles are not drawn to scale.
Answer:
12 : 58.8 which simplies to 1 : 4.9
Step-by-step explanation:
which expression results from using the distributive property: 7(x+3)
jackie is solving this system of linear questions: 3x+2y= 20
4x-y=30
which equations could be part of the process of solving this system?
4x+6y=20
12x+8y=80
8x-y=60
8x-2y=60
Answer: 12x+8y=80
8x-2y=60
Step-by-step explanation:
The equations that could be part of the process of solving this system are 12x+8y=80 and 8x-2y=60.
The original equation was 3x+2y= 20 and 4x-y=30. Multiplying all through by 4 gives 12x+8y=80 and 8x-2y=60.
Is the exponent of a number without a written exponent 1 or 0?
Answer:
1
Step-by-step explanation:
what units do scientist use to measure force
Answer: newtons
Step-by-step explanation:
Answer:
I believe it is Newtons :)
Step-by-step explanation:
I need help i'm a 6th grader! I provided a screenshot. The math is inequalities!
If you know how to explain it please do! You don't have to though
Answer:
A or B
Step-by-step explanation:
[tex]3.5+m<4.6[/tex]
that's what it means
so if we solve it
[tex]3.5+m-3.5<4.6-3.5\\\\m+0<1.1\\\\m<1.1[/tex]
and now we check
[tex]3.5+(1)<4.6(\:something\:less\:than\:1.1)\\\\4.5<4.6[/tex]
which satisfy
now choose an option
it's either A or B
m<1.1 is the answer if you have to highlight the thing that m is less than then B is your answer
if you have to highlight an option that works then it's A
please help! it’s due today haha it’s pythagoras
Answer:
x = 6.22 cm
Step-by-step explanation:
The lines on the sides of the triangle means they are the same length
Since it is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
Substituting what we know
a^2 + a^2 = x^2
a=4.4
(4.4)^2 + (4.4) ^2= x^2
19.36 + 19.36 = x^2
38.72 = x^2
Taking the square root of each side
6.222539674 = x
Rounding to 3 significant figures
x = 6.22 cm
factor: m^2 - 20m - 21
(m-21) (m+1)there I thinks it's right unless I messed up my work
Answer:
[tex](m - 21)(m + 1)[/tex]
Step-by-step explanation:
[tex]m^{2} - 20m - 21[/tex]
Lets split the middle term.
[tex]=> m^{2} - 21m + m - 21[/tex]
[tex]=> m(m - 21) + 1(m - 21)[/tex]
[tex]=> (m - 21)(m + 1)[/tex]
If one of the angle is 60 degree and the other two are in the ratio 1:2,
find the angles.
Answer:
Let the two angles be x and 2x
Sum of angles of triangle=180°
60+x+2x=180
3x=180-60
x=120/3
x=40
2x=80
Step-by-step explanation:
40 and 80 are other two angles
Solve for y.
7y - 14 = 35
Answer:
it's 7
Step-by-step explanation:
this needs to be 20 characters long
Answer:
switch the -14 to positive and the add 35+14 and then divide the number you get by 7
Step-by-step explanation:
y=7
2(2t +7) = 4t+14
solve for t
Answer:
( - ∞, ∞)
Step-by-step explanation:
Any value of t makes the interval notation ^^^
what is the constant of variation in this relation?
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
here k is the constant of variation.
From the table,
substitute x = -3, y = -4 in the equation
k = y/x
k = -4/-3
k = 4/3
substituting x = -2, y = -1
k = y/x
k = -1/-2 = 1/2
substituting x = -1, y = 2
k = y/x
k = 2/-1 = -2
substituting x = 0, y = 5
k = y/x
k = 5/0 = ∞
substituting x = 1, y = 8
k = y/x
k = 8/1
k = 8
substituting x = 2, y = 11
k = y/x
k = 11/2
substituting x = 3, y = 14
k = y/x
k = 14/3
It is clearly visible that there is no constant of variation because the ratio y = k/x is variating for different ordered pairs.
Thus, It is clear that none of the answers in the answer choices represent the constant of variation in this relation.
Name the plane represented by the right side of the box?
Answer:
I believe it is BCG
Step-by-step explanation:
Are the ratios 10:20 and 2:4 equivalent. yes or no? PLEASE HELP! :D
Answer:
yes they are equivalent
Answer:
[tex]\huge\bold\purple{ Yes }[/tex]