Answer:
Step-by-step explanation:
x = 1 + 3i
x^2 = (1 + 3i)(1 + 3i)
f: 1 * 1 = 1o: 1 * 3i = 3ii: 3i * 1 = 31L: = 3i * 3i = 9i^2 = - 9x^2 = 1 + 6i - 9 = -8 + 6i
By a similar method
y = (x - i)
y^2 = x^2 - 2i*x + i^2
y^2 = x^2 - 2ix - 1
y^2 = -8+6i - 2i(1 + 3i) -1
y^2 = -8+6i -2i - 6i - 1
y^2 = -8 - 2i - 1
y^2 = - 9 - 2i
x^2 - y^2 = -8 + 6i - (9 - 2i)
x^2 - y^2 = -8 + 6i - 9 + 2i
x^2 - y^2 = -17 + 8i
to complete a continuing pattern,identify pattern rule.true or false?
Answer:
true
Step-by-step explanation:
Anthony travels 48 miles by car in the same time it takes him to travel 12 miles on his
bike. His average rate of speed by car is 24 miles per hour faster than his average rate of speed by bike. What is the average rate of speed for both the car and the bike?
Answer:
Anthony's average speed by car is 32 miles per hour and his average speed by bike is 8 miles per hour.
Step-by-step explanation:
Let the average rate (in miles per hour) at which Anthony travels by car be c and by bike be b.
His average rate of speed by car is 24 miles per hour faster than his average rate of speed on bike. In other words:
[tex]c = b + 24[/tex]
Anthony travels 48 miles by car in the same amount of time it takes him to travel 12 miles by bike.
Recall that distance is given by the rate multiplied by the time t.
Hence, c multiplied by time t equals 48 miles:
[tex]\displaystyle ct = 48[/tex]
Likewise, b multiplied by the same time t equals 12 miles:
[tex]bt = 12[/tex]
Solve. We can multiply the second equation by four:
[tex]4bt = 48[/tex]
Substitute:
[tex]ct = 4bt[/tex]
Divide:
[tex]c = 4b[/tex]
Since c = b + 24:
[tex](b + 24) = 4b[/tex]
Solve for b. Subtract:
[tex]24 = 3b[/tex]
And divide:
[tex]b = 8\text{ miles per hour}[/tex]
Hence, Anthony bikes at an average rate of 8 miles per hour.
Since his average speed by car is 24 miles per hour faster, his average speed by car is 32 miles per hour.
In conclusion, Anthony's average speed by car is 32 miles per hour and his average speed by bike is 8 miles per hour.
Convert the improper fraction to a mixed number. 32/3
Answer:
32/3 = 10 2/3
Step-by-step explanation:
Complete the set of ordered pairs for the relation.
{(x, y): y = 2 |x + 1| and x {-2, -1, 0, 1, 2}}.
(-2, __)
-2
-3
2
Answer:
Step-by-step explanation:
[tex]U=\{(x,y)\ \zeta\ y=|x+1| \ and\ x \in \{-2,-1,0,1,2\}\ \}\\\\\begin{array}{|c|c|}x&y\\---&---\\-2&2\\-1&0\\0&2\\1 & 4\\2&6\\---&---\\\end{array}\\\\U=\{(-2,2),(-1,0),(0,2),(1,4),(2,6)\}\\[/tex]
Answer:
2 / (-2,2)
Step-by-step explanation:
I need help on this problem
Answer:
x 1 / 2 / 3 / 4 / 5
y -3 / 3 / 11 / 21 / 33
you can figure this put by just putting the equation above in a calculator and replacing all the x's with numbers and press equal the answer is y
example
1^2 + 3(1) -7 = -3
x= 1
y=-3
and you can use those coordinates to graph them
(1,-3) (2,3) (3,11) (4,21) (5,33) and so on
select all the ways that the sun supports life on earth
Answer:
all of the above
Step-by-step explanation:
Answer:
It gives heat and light on the earth.
plants makes food with the help of sunlight.
Animals take warmth by sunlight.etc.
6x+6=-5+3x+17
I need help
Answer:
Get all the terms with x on the left. Get all the terms without x on the right. Simplify by adding and subtracting the terms without x and adding and subtracting the terms with x. Finally divide to get the value of x.
Step-by-step explanation:
6x+6 =- 5+3x+17
6x+6 -6 =- 5+3x+17 -6
6x = 5+3x+11
6x = 3x + 16
6x - 3x = 3x + 16 -3x
3x = 16
3x / 3 = 16 / 3
x = 15/3 + 1/3
x = 5 1/3
x = 5.33333...
PLEASE HELP ME FAST I WILL GIVE 30 POINTS AND BRAINLIEST AND HEART
Questions 10-12
f(x)= 3x-13
g(x)= 2x^2-4x-5
h(x)=4^x-7
10. Find (f - g) (x)
11. Find (f - h) (x)'
12. Find (f + g) (x)
(f–g)(x)= (3x-13) – (2x²–4x–5)= –2x²+7x-8
(f–h)(x)= (3x-13) – ( 4^x –7) = 3x – 4^x–6
(f+g)(x)= (3x-13) + (2x²–4x–5) = 2x²–x – 18
I hope I helped you^_^
(4x-1)(x^2+3) step by step
Answer:
4x + x^2 + 3
Step-by-step explanation:
First you are gonna drop the parenthesis. Then you are gonna combine -1 and +3 which gives you +2.
the area of a children’s square playground is 50m squared, what is the exact length of the playground
Area=50m^2
Let side be a
[tex]\\ \rm\Rrightarrow Area=a^2[/tex]
[tex]\\ \rm\Rrightarrow a^2=50[/tex]
[tex]\\ \rm\Rrightarrow a=\sqrt{50}[/tex]
[tex]\\ \rm\Rrightarrow a=7.1m[/tex]
Answer:
[tex]\displaystyle 5\sqrt{2}\:m.[/tex]
Step-by-step explanation:
Sinse squares are equal in length all around, this formula applies:
[tex]\displaystyle s^2 = A → \sqrt{50} = \sqrt{s^2} \\ \\ 5\sqrt{2} = s[/tex]
Therefore, the length of the playground is [tex]\displaystyle 5\sqrt{2}[/tex] metres.
* Just in case you could not figure out how to find the square root of fifty, here is how using perfect squares:
[tex]\displaystyle \sqrt{50} → \sqrt{2 \times 25} \\ \\ 5\sqrt{2}[/tex]
Sinse we are dealing with measurements, we only want the NON-NEGATIVE root.
I am joyous to assist you at any time.
blue dot located on the number line?
Answer:
it's 4/5 cause no. of division is 5 and it's on 4 place therefore it's 4/5
Answer:
4/5 is the correct answer
Geometry WS (Angle Addition Postulate) (20 pts)
Answer:
x = 17°
m∠MKL = 116°
m∠JKL = 159°
Step-by-step explanation:
JKM = 43
MKL = 8x - 20
JKL = 10x - 11
Since JKL is the whole angle, JKM + MKL = JKL
43 + 8x - 20 = 10x - 11
Add 20 to both sides:
43 + 8x = 10x + 9
Subtract 8x from both sides:
43 = 2x + 9
Subtract 9 from both sides:
34 = 2x
x = 17°
MKL = 8(17) - 20
MKL = 116°
JKL = 10(17) - 11
JKL = 159°
And to check 159 - 116 = 43
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Permudahkan 3/5xy × (-25x²y)
Simplify 3/5xy × (-25x²y)
A) -35x³y²
B) -35x²y²
C) -15x³y²
D) -15x²y²
Answer:
C) -15x³y²Step-by-step explanation:
[tex] \frac{3}{5} xy \: \times ( - 25 {x}^{2} y)[/tex]
[tex] = \frac{3}{5} \times ( - 25) \times x \times {x}^{2} \times y \times y[/tex]
[tex] = - 15 \times {x}^{3} \times {y}^{2} [/tex]
[tex] = - 15 {x}^{3} {y}^{2} (ans)[/tex]
Subtract.
5/23 - 4/23
(Type an integer or fraction.)
Answer:
1/23
Step-by-step explanation:
5/23 - 4/23 would be 1/23. When the denominators of the fractions are the same, you can just subtract the numerators.
Factor out the greatest common factor. If the greatest common factor is 1, just retype the
polynomial.
9d^ 2 - 27d^ 5 + 45d^ 3
Answer:
Below.
Step-by-step explanation:
The GCF of 9 , 27 and 45 = 9.
GCF of the d terms is d^2.
So the GCF of the whole expression is 9d^2.
Factors are 9d^2( 1 - 3d^3 + 5d)
find the possible formula for the nth term of sequence 7 11 15 9
Answer:
7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.
hope this helped!!!
Solve with steps:
2 cos(x) = square root 3 = 0 0
A club has 34 members，and 18 of them are new。If two new members quit the club，what percentage of the remaining people in the club are not new members？
Answer:
its still 34 bcs there were 18 new members and 2 left they were new not old so we didn't exactly touch the number 34 so yeah hope i'm correct
Step-by-step explanation:
IN NEED OF HELP LIKE ASAP!
Answer:
Below
Step-by-step explanation:
2^-3 / 2^2 is equal to 1 / 2^5
Write the expression in exponential form
2^-5 = 2^-5
Set the exponents as equal
-5 = -5
So this is true
Hope this helps! Best of luck <3
We know that corresponding angles of similar figures are congruent. Based on this example, are corresponding sides of similar figures always congruent?
Answer:
no
Step-by-step explanation:
similar figures means that the corresponding angles are congruent and the corresponding sides are similar. this means if ABCD and EFGH are similar, A=E*x, B=F*x, C=G*x, and D=H*x, so they aren't congruent
a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price
Answer:
40% increase
Step-by-step explanation:
c = final value - initial value
------------------------------------
initial value
112 - 80 = 32
32 / 80 = 0.4
0.4 = 40%
edward has $48 to spend at the grocery store. six cases of soda he has $21 left. how much does one case of soda cost? brainly
Answer: $4.50
Step-by-step explanation:
48-21=27
27 divided by 6= 4.50
Therefore each case costs 4.50
Answer:
$4.50
Step-by-step explanation:
48 - 21
27
divide by 6
4.50
The function f(x)=x^2+2 is not one to one. Determine a restricted domain that makes it one to one and find the inverse function
Answer:
Hope it helped
Step-by-step explanation:
The restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function.
Now the given quadtratic function is,
f(x) = x² + 2
Now vertex of the given quadratic function is (0,2)
Thus the range of the function is [2,∞)
If we restrict the domain of this function to either (-∞,0} or [0.∞), it will become one to one function.
Now the inverse function is given as,
y = x² + 2
Upon interchanging x and y, we get:
x = y² + 2
⇒ y² = x - 2
or, y = ±[tex]\sqrt{x-2}[/tex]
Hence, the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
Thus, the restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .
To learn more about function :
https://brainly.com/question/17210215
#SPJ2
please help
answer choices
A. (-5, 2)
B. (5, 2)
C. (2, -5)
D (-2, 5)
Answer:
The correct choice is option B. (5, 2)
Step-by-step explanation:
The rotation rule of 180° is = (x ,y) -> ( -x , -y) .
Coordinates of C before the rotation are ( -5 , -2) so according to the rule above they will now be = C'( 5 , 2 ) .
Therefore, the ordered pair for C' is (5, 2) after the 180 degrees rotation.
Sofia is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hours for 5 hours. Over 7 hours time period what was sofia's average speed ?
Answer:
65 kph
Step-by-step explanation:
There were a total of 7 hours. So two hours were at 70 and the other 5 hours at 63: the equation would be: (70+70+63+63+63+63+63)/7=65
6+ 1 ( 7x17 )-7
im stuck
Answer:
118
Step-by-step explanation:
6+1(7×17)-7
=6+1(119)-7
=6+119-7
=125-7
=118
Please mark me brainliest.
Answer: 118
Step-by-step explanation:
Given expression
6 + 1 (7 × 17) - 7
Simplify values in the parentheses
=6 + 1 (119) - 7
Simplify by multiplication
=6 + 119 - 7
Simplify by addition/subtraction
=125 - 7
=[tex]\boxed{118}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
write an equation of the line passing through point (3, -1) and perpendicular to y= -x+1
am I supposed to do the picture one or the you type
[tex]\frac{\sqrt{a+b} }{\sqrt{a-b} } +\frac{\sqrt{a-b} }{\sqrt{a+b} }[/tex]
Answer:
[tex]\frac{(a+b)}{a^{2} -b^{2} }[/tex] + [tex]\frac{(a-b)}{a^{2} -b^{2} }[/tex] = [tex]\frac{2a}{a^{2} -b^{2} }[/tex]
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{ \sqrt{a + b} }{ \sqrt{a - b} } + \frac{ \sqrt{a - b} }{ \sqrt{a + b} } \\ squaring \: on \: both \: sides \\ \frac{a + b}{a - b} + \frac{a - b}{a + b} \\ \frac{(a + b) \times (a + b) + (a - b)(a - b)}{(a - b)(a + b)} \\ \frac{ {(a + b)}^{2} + {(a - b)}^{2} }{ {a}^{2} - {b}^{2} } \\ remaining \: in \: attachment[/tex]
[tex]thank \: you[/tex]
help please!!
angle 1 + angle 2 = ?
angle 7 + angle 8 = ?
angle 1 + angle 6 = ?
Answer:
angle 1 + angle 2 = ∠DEB
angle 7 + angle 8 = ∠NEG
angle 1 + angle 6 = ∠NEA
c. Mr. champing travels 20 km duo East and then 25 km due west. respect to find his position with respect to his starting point.