Step-by-step explanation:
(9−4i)2(9-4i)2
Rewrite (9−4i)2(9-4i)2 as (9−4i)(9−4i)(9-4i)(9-4i).
(9−4i)(9−4i)(9-4i)(9-4i)
Expand (9−4i)(9−4i)(9-4i)(9-4i) using the FOIL Method.
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9⋅9+9(−4i)−4i⋅9−4i(−4i)9⋅9+9(-4i)-4i⋅9-4i(-4i)
Simplify and combine like terms.
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Simplify each term.
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81−36i−36i−1681-36i-36i-16
Subtract 1616 from 8181.
65−36i−36i65-36i-36i
Subtract 36i36i from −36i-36i.
65−72i
The length of the shortest wavelength of visible light is approximately 4×10^−7 meters.
The length of the wavelength can be written in standard form as
Answer:
4x+10y^-7
Step-by-step explanation:
PLEASE I NEED THIS ASAP ITS SO MUCH POINTS
Answer: decimal : 1, fraction: 9/1000, decimal : 0.5, fraction: 17/100, decimal 1
Step-by-step explanation:
Please help me with this surds question.
the answer is 0.2 or one fifths
what is the sum 0 of -1
Answer:
If you mean 0 + (-1) then it's -1
Find the length of segment CD.
Answer:
62 causED its 12:51
Step-by-step explanation:
Cause its 62 bY 68
Answer:
I think the whole Line would be 16
Step-by-step explanation:
You have to use the Pythagorean Theorem.
so do 6^2 + x^2 = 10^2
then solve and you get x^2 = 64 which means x=8
then since CE and ED are the same and congruent lines ED will also be 8 so you add the 8 up and get 16.
sorry if I'm wrong
Hope this HelpsHelps
Please give me Brainliest!
PLEASE FOR THE LOVE OF GOD
SOMEONE HELP ME PLS 4. If S(1)= 12 and S (n)= S (n-1) - 4 then which of the following represents the value of S (40)?
(1) -148
(3) -144
(2) -140
(4) -172
Answer: (4)
Step-by-step explanation:
Find the length of AB.
00240°
AB = [? ]m
140°
8 m
B
Round your answer to the nearest hundredth.
Answer:
19.54 m
Step-by-step explanation:
[tex]l(\widehat {AB}) = \frac{ \theta}{360 \degree} \times 2 \pi r \\ \\l(\widehat {AB}) = \frac{140 \degree}{360 \degree} \times 2 \times 3.14 \times 8 \\ \\ l(\widehat {AB}) = \frac{7}{18} \times 2 \times 3.14 \times 8 \\ \\ l(\widehat {AB}) = \frac{351.68}{18} \\ \\ l(\widehat {AB}) = 19.5377778 \\ \\ l(\widehat {AB}) \approx 19.54 \: m[/tex]
y = 5х – 7
—3х – 2 y = -12
[tex]-3x-2(5x-7)=-12\\-3x-10x+14=-12\\-13x=-26\\x=2\\\\y=5(2)-7\\y=10-7\\y=3[/tex]
Answer:
[tex](x, y) = (-\frac{29}{2}, -12)[/tex]
Step-by-step explanation:
[tex]-12 = 5 x ( -\frac{29}{2} ) - 7 - 3 x ( -\frac{29}{2} ) - 2 x (-12) = -12[/tex]
A company makes paper labels for paint cans. As shown below, each can is in the shape of a cylinder with a height of 9in and a diameter of 8in. The paper label is wrapped around the can and covers only the side of the can (not the top or bottom). If the company makes 15 labels, how many square inches of paper will be needed? Use 3.14 for π, and do not round your answer.
Answer:
423
Step-by-step explanation:
Firstly we need to find the circumference of the circle.
Circumference = 2 × Radius with Pi
=2×8×3.14= 50.24
Now we must find the area of 1 label.
Area of 1 label= 3.14 × 9= 28.26cm²
Multiplying by the number of labels =
28.26 × 15
= 423.9 cm²
So, we'll just keep the answer 423 because we were asked how many square inches of paper will be needed.
Given f(x) = ax + b/x,
f(1) = 1, and f(2)= 5, find constants a and b
Answer:
a = 3, b = - 2
Step-by-step explanation:
Given f(1) = 1 and f(2) = 5, that is
substitute x = 1 and equate to 1, substitute x = 2 and equate to 5
a + b = 1 → (1)
2a + [tex]\frac{b}{2}[/tex] = 5 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate a
- 2a - 2b = - 2 → (3)
Add (2) and (3) term by term to eliminate a
0 - [tex]\frac{3}{2}[/tex] b = 3
- [tex]\frac{3}{2}[/tex] b = 3 ( multiply both sides by - [tex]\frac{2}{3}[/tex] )
b = - 2
Substitute b = - 2 into (1)
a - 2 = 1 ( add 2 to both sides )
a = 3
Then a = 3 and b = - 2
In ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. Find the measure of ∠R to the nearest degree
Answer: 57
Step-by-step explanation:
The value of the angle ∠r is equal to 56.63°.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that in ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. The value of angle ∠r will be calculated as,
r² = p² + q² -2pqcos(r)
(7.7)² = (8.5)² + (1.7)² - 2 x 8.5 x 1.7cos(r)
59.29 -75.14 = -28.9cos(r)
cos(r) = 15.85 / 28.9
cos(r) = 0.55
r = cos⁻¹(0.55)
r = 56.63°
To know more about trigonometry follow
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need help on this question
Answer:
C
Step-by-step explanation:
the answer for this question is
-2 and 6
a triangle has sides with lengths of 3 miles 4 miles and 5 miles is it a right angle
Answer:
yes
Step-by-step explanation:
pls give me brainlest
i need some help on this, thanks!
Answer: C: 9.6
Step-by-step explanation:
9.6-3.4=6.2
Answer:
C. 9.6
Step-by-step explanation:
n - 3.4 = 6.2
n = 6.2 + 3.4
n = 9.6
notación exponencial de 2.500.000
Answer:
bjfdkkdkdkdieiekwkwkwkekkedlllldkd
A plant currently measures 5.5 inches tall and will grow at a rate of 1 inch per week. Andrew wants to graph this information for his Science Fair project. If x represents the number of weeks and y represents the height of the plant, which choice below correctly describes the y-intercept in this relationship?
(5.5, 0)
(0,1)
(0, 5.5)
(1, 5.5)
Answer:
0, 5.5
Step-by-step explanation:
when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)
so THE ANSWER IS (0, 5.5)
PLZ MARK ME AS BRAINLIEST.
Can some one help me with number 1
Answer:
The graph going down answers are 3,-1, -5, and then -9
Step-by-step explanation:
I need help plz I don’t know how to do this
Answer:
x = 4
Step-by-step explanation:
x = 4 is where the parabola can be cut in half and reflected
The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 degrees. What was the temperature at 6 am?
Answer:
62 degrees
Step-by-step explanation:
Points (12,440 and (20,20)
Slope = -3
Equation of line: y - 44 = -3(x - 12)
Plug in x = 6 to get y = 62.
what is the degree of the function f(x)=x⁴-5x+8+x²?
First put it in decreasing power according to x.
x^4-5x+8+x^2
=x^4+x^2-5x+8
Now this question is asking what is the highest degree of x you see in this function.
4 of course.
Therefore the answer to his question is degree of 4.
Done!
Multiple choice answers:
3
1/3
-1/3
-3
Mr Bryce planted a garden in his backyard the length and width of the garden are shown below. what is the area, in square meters, of Mr. Bryce's garden.
Answer:
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
What is the equation of the line that passes through the point
(
−
6
,
1
)
(−6,1) and has a slope of
−
3
2
−
2
3
?
Answer:
the equation of the line that passes through the point (-6,1) is Y = -x+1
Answer:
I don't no sorry I wish I could awnser it
Please help and explain
Answer:
Possible b that what I thank it is
Step-by-step explanation:
Sarah has $240 and she gives her mum $80 what fraction of the money does Sarah have left give the fraction in its simplest form
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
$240 - $80 = 160
[tex]\frac{160}{240} = \frac{2}{3}[/tex]
[tex]\frac{160 | 80}{240 | 80}[/tex] = 2/3
3C-3/5=24/8 yukarıda verilen orantıya göre C kaçtır ?ACİLLLLLL
A)3
B)10/3
C)11/3
D)6
Answer:
help
Step-by-step explanation:
PLZZZ HELP ME...I AM FAILING THIS CLASS..if you can help me with ANY of these please do...i need all the work of how you got that answer..thankyou so much!!!
Answer:
Step-by-step explanation:
Hi! I'm lazy but I'll explain number two so you get the concept. 2x + y =10
Well, It says x = 5. When a number is next to another number like this: 5(6), it means multiplication. Same when a number and a letter are together like this: 2x. So that means it's 2 times 5, since 5 = x. 2 times 5 is 10. So what plus 10 equals 10 (10 + y = 10) The answer now is obviously 0. So that's how you do those equations! Hope u understand lol :>
heyyy if you could answer this asap i'd be grateful <33
Answer:
D and E ( the last two )
Step-by-step explanation:
[tex]x = 16 \: y = 4 \\ y = x - 12 \\ y = 16 - 12 = 4 \: ok \\ y = \frac{1}{4} x = \frac{1}{4} 16 = 4 \: ok \\ [/tex]
For the line above, what is the slope? *
Answer:
1
Step-by-step explanation:
Find the rise over run
Rise = 3
Run = 3
3/3 = 1
Slope = 1
Answer:
1
Step-by-step explanation:
First, you take any two points from the line, I put (2,1) and (0,-1). You plug it into the formula y2-y1/x2-x1 which would be -1-1/0-2 which is equal to -2/-2=1
Hope this helps
Can someone plssssss help me I need help on what is 2/7 divide by 7/8
Answer:
Answer is 0.3265
Step-by-step explanation:
I hope it's helpful!