Answer:
Step-by-step explanation:
lkj
Simplify.
6i/9+2i
A. 81-18i/85
B. 2i/3
C. 6i/13
D. 12+54i/85
Answer:
D
Step-by-step explanation:
We want to simplify the expression:
[tex]\displaystyle \frac{6i}{9+2i}[/tex]
To do so, we can remove the imaginary unit in the denominator by multiply it by the conjugate.
The conjugate of a + bi is a - bi.
Hence, we will multiply the fraction by 9 - 2i:
[tex]\displaystyle =\frac{6i}{9+2i}\left(\frac{9-2i}{9-2i}\right)[/tex]
Multiply:
[tex]\displaystyle = \frac{6i(9-2i)}{(9+2i)(9-2i)}[/tex]
Difference of two squares:
[tex]\displaystyle = \frac{6i(9-2i)}{(9)^2 -(2i)^2}[/tex]
Simplify:
[tex]\displaystyle = \frac{54i-12i^2}{(81)-(4i^2)} = \frac{54i-(-12)}{81-(-4)} = \frac{12+54i}{85}[/tex]
Hence, our answer is D.
100 points HELP WILL MARK BRAINLIEST
could the ordered pairs (x,y) pairs have been generated by linear function?
x y
0 0
1 1
2 4
3 9
justify your answer in ethier words, pictures, or both
Yes ,
Let's create orderer pairs from the table of function.
(0,0)(1,1)(2,4)(3,9)Note:-
If (x,y) be a co-ordinate pair of a function then x is the domain and y is the range.
Simplify the expression by combining like terms:
8x + 3y + 2x^2 + 6y^2 + 7 =
a
10x^2 + 9y^2 + 7
b
8x + 3y + 2x^2 + 6y^2 + 7
c
11xy + 8xy^2 + 7
Answer:
8x + 3y + 2x^2 + 6y^2 + 7 =
Step-by-step explanation:
8x + 3y + 2x^2 + 6y^2 + 7 =
Combine like terms
There are no like terms
8x + 3y + 2x^2 + 6y^2 + 7 =
Let's combine
8x+3y+2x²+6y²+7No like terms present
We may arrange in order of degrees.
2x²+6y²+8x+3y+75/8k=25
how do i do this?
Answer:
[tex] \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40[/tex]
I hope it helped U
stay safe stay happy
Answer:
k=1/40
Step-by-step explanation:
multiple both sides by 8k
5= 25×8k
simplify 25×8k to 200k
5=200k
divide both sides by 200
5/200=k
simplify 5/200 to 1/40
1/40= k
switch sides
k=1/40
Sia buys a pen, a pencil and an eraser every 6th, 4th and 8th day respectively. If she bought all three of them on 1st Jan, the next time when she will buy all three of them together is:
A. 24th Jan
B. 12th Jan
C. 25th Jan
D. 13th Jan
Answer with full explanation
2 | 6,4,8
2 | 3,2,4
2 | 3,1,2
3 | 3,1,1
LCM=2×2×2×3=24
Date given=1st jan
Next date of buy:'[tex]\\ \qquad\quad\sf\longmapsto 1+24=25thJan[/tex]
Help anyone can help me do this question,I will mark brainlest.
Answer:
Step-by-step explanation:
E ⊂ F ⊂ G
Need help with 1. 3 .5
Answer:
1. 2 lines that are at equal distance from each other and will never meet
2 rays/lines that meet at a point
A round shape whose outline is equal distance from the center.
Lines that meet at an 90° angle
3. [tex]\sqrt{106}[/tex] or 10.29563014......
Ummm... We can't see the 5th question
I hope this helps!
pls ❤ and mark brainliest pls!
Distribute 3x(4x-2) please help
3x(4x - 2) = 3x · 4x - 3x · 2 = 12x² - 6x
How many Numbers are in between 17 and 43??
Answer:
26 numbers
Step-by-step explanation:
please tell me the answer with explanation.
Answer:
HELLO DEAR,
GIVEN:-
10sin⁴A + 15cos⁴A = 6
=> 10(sin²A)² + 15cos⁴A = 6
=> 10{(1 - cos²A)²} + 15cos⁴A = 6
=> 10{1 + cos⁴A - 2cos²A} + 15cos⁴A = 6
=> 10 + 10cos⁴A - 20cos²A + 15cos⁴A = 6
=> 25cos⁴A - 20cos²A + 4 = 0
=> 25cos⁴A - 10cos²A - 10cos²A + 4 = 0
=> 5cos²A(5cos²A - 2) - 2(5cos²A - 2) = 0
=> (5cos²A - 2)(5cos²A - 2) = 0
=> cos²A = 2/5
=> cosA = √2/√5 [ secA = √5/√2]
therefore,
sinA = √[1 - 2/5] = √3/√5 [ cosecA = √5/√3]
now,
27cosec^6A + 8sec^6A
=> 27 × {(√5/√3)²}³ + 8 × {(√5/√2)²}³
=> 27 × 125/27 + 8 × 125/8
=> 125 + 125
=> 250.
HENCE, 27cosec^6A + 8sec^6A = 250.
I HOPE IT'S HELP YOU DEAR,
THANKS
Step-by-step explanation:
What number is 5 units to the left of 12 on the number line?
Evaluate k + 3 when: *
4 points
51 13 15 43 9 45 37
k = 12
k = 48
k = 10
k = 40
k = 12
k = 48
k = 10
k = 40
Step-by-step explanation:
12 + 3=15
48+ 3=51
10 + 3=13
40 + 3=43
12 + 3=15
48 + 3=51
10 + 3=13
40+ 3=43
Martha has a French cookie recipe that calls for baking the cookies for 14 to 18 minutes at 180∘C. Her oven measures temperature in Fahrenheit only. At what temperature in degrees Fahrenheit should she set her oven to make the cookies per the recipe?
Answer:
180° Celsius is equal to approximately 356° Fahrenheit
Step-by-step explanation:
I hope this helps.
The value of 180 degree Celcius in Fahrenheit is 356.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Martha has a French cookie recipe that calls for baking the cookies for 14 to 18 minutes at 180∘C.
The temperature in Fahrenheit will be calculated as,
F = 1.8C + 32
F = ( 1.8 x 180 ) +32
F = 356
Therefore, the value of 180 degree Celcius in Fahrenheit is 356.
To know more about unit conversion follow
https://brainly.com/question/26141817
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What is 10% less than 220?
Answer:
198
Step-by-step explanation:
10% less of 220
=> 220 - 10% of 220
=> 220 - (10/100 × 220)
=> 220 - 22
=> 198
The highest paid of these occupations Is aircraft pilot/flight engineer at $94.74 per hour. These workers work on an average of 24.3 hours a week.what is the average yearly earnings for a pilot or flight engineer who works 50 weeks a year?
Answer:
They make $115,109.10 per year.
Step-by-step explanation:
Solve how much workers make per week:
94.74 × 24.3
2302.182
Solve for 50 weeks:
2302.182 × 50
115109.1
6-r+3r=4 solve for r
Answer:
r=-1
Step-by-step explanation:
6-r+3r=4
or, 6+2r=4
or, 2r=-2
or, r=-1
50 POINTS WILL MARK BRAINLIEST
Evaluate the expression when b=4 and x=-5.
-b+ 3x
Answer:
-19
Step-by-step explanation:
Since we already have the values of the variables and the equation, all we have to do is plug in the numbers.
-b + 3x
-(4) + 3(-5)
-4 + (-15)
-4 - 15
-19
Answer:
[tex]\boxed {\boxed {\sf -19}}[/tex]
Step-by-step explanation:
We are asked to evaluate the following expression.
[tex]-b+3x[/tex]
We know the b is equal to 4, and x is equal to -5.
b=4 x=-5We can substitute the values into the expression.
[tex]-(4) + 3(-5)[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Multiply first. We multiply -1 and 4, then 3 and -5.
[tex][-1 *4] + 3(-5)[/tex]
[tex]-4+ [3*(-5)][/tex]
[tex]-4+-15[/tex]
Add.
[tex]-19[/tex]
The expression -b+3x is equal to -19 when b equals 4 and x equals -5.
I need to answer this someone Help
Answer:
48 kg
Step-by-step explanation:
8x+2 = 9x-4
8x-9x = -4-2
-x = -6
x = 6
Jane's weight at first = 8x = 8(6) = 48 kg
Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth
Answer:
15.59
Step-by-step explanation:
Area of an equilateral triangle given side length s:
area = (√3/4) * s²
Plug 6 in for s
area = (√3/4) * 6²
= √3/4 * 36
≈ 15.59
Find the equation for the
following parabola.
Vertex (0, 0)
Focus (2, 0)
A. 2x2 = y
B. y2 = 8x2
C. x2 = 8y
D. y2 = 8x
If the vertex of the parabola is (0, 0) and the focus is (2, 0). Then the equation of the parabola is x² = 8y. Then the correct option is C.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The vertex of the parabola is (0, 0) and the focus is (2, 0).
Then the equation of the parabola passing through the origin is given as
x² = 4ay
Then the value a is equal to 2.
Then the equation will be
x² = 4 × 2 × y
x² = 8y
More about the parabola link is given below.
https://brainly.com/question/8495504
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Answer:
D
y^2 = 8x
Step-by-step explanation:
Please I suffered through the question.
Hope this helps!
Write the equation of the line passing through point (-6,0) and perpendicular to y=3/2 x
Answer:
option c
Step-by-step explanation:
explaination is in pic below
Given f(x)=7x-1 find f(-2) f(-2)=
Answer:
f(-2) = -15
Step-by-step explanation:
f(x) = 7x - 1
f(-2) = 7(-2) - 1
f(-2) = -14 - 1
f(-2) = -15
Please help me write an equation.
Answer:
k=6
Step-by-step explanation:
Line partition formula
1/b(x2-x1)+x1, 1/b(y2-y1)+y1
Where b is the number partitions.
We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.
1/b(17-2)+2=7
1/b(15)=5
1/b=1/3
b=3
so the partition is 1/3
[tex] \frac{1}{3} (17 - 2) + 2 = 7[/tex]
So let find the y coordinate
[tex] \frac{1}{3} (8 - 5) + 5 = 6[/tex]
So our y coordinate is 6.
How do you know that the absolute value of -|-9| is equal to -9?
Step-by-step explanation:
b/c -|9|
first we will out the number from absolut value
then it will give as -9
if the sum p(x)=ax^2-3x+b and q(x)=3x^3-12x^2+cx-13 is r(x)=3x^3-8x^2+3x-5,then find the value of a,b and c.
Answer:
a=4, b=8, c=6
Step-by-step explanation:
ATQ, p(x) + q(x) = r(x)
3x^3-(12-a)x^2-(3-c)x+b-13 = 3x^3-8x^2+3x-5
Comparing the coefficients, we have
12-a=8, a=4
b-13=-5, b=8
-(3-c)=3, c=6
b. How many faces does a cube have? 아
Cube have 6 faces.
hope it helps
tq
what is the value of a^(m-n) *
Answer:
[tex]a {}^{m - n} [/tex]
Step-by-step explanation:
...........
Mr. Martin's car odometer showed 10,393 miles. His wife's odometer showed 26,481 miles. How many more miles were shown on his wife's odometer than on Mr. Martin's odometer?
Answer:
16,088 more miles
Step-by-step explanation:
Do 26,481-10,393 to get the answer.
26,481-10,393=16,088
The reason that you need to use subtraction to solve this problem is because the word problem says ”how many more”. I’ve learned in school that this is a sign that you have to find the difference to the terms being used in the problem, in this case, 26,481 and 10,393. To find the difference is to subtract the smaller number from the larger number, showing that you have to do 26,481-10,393 to get the answer.
x+12=7 plz solve for x and explain
Answer:
x+12=7
x=7-12
x=-5
Step-by-step explanation:
4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast
Answer:
- (5/22)
Step-by-step explanation:
(12-2x+8)/3 = (6x + 15)/2
(20 - 2x)/3 = ( 6x + 15)/2
Now cross multiplication
40 - 4x = 18x + 45
-18x - 4x = 45- 40
- 22x = 5
x = - ( 5/22)