Answer:
(-2,1 ) (1,4) (-2,4)
Step-by-step explanation:
If Z= 2+2i, what is z^4?
Answer:
D. 64 (cos(pi)+isin(pi))
Step-by-step explanation:
Put 2+2i into trigonometric form, raise the r value to the power of 4, and multiply the angle value (theta) by 4 to get the equation of z^4. In this case, r was 2(sqrt2), which raised to the 4th power was 64. The angle value was pi/4, which multiplied by 4 was pi. That's how we get the answer:
64 (cos(pi)+isin(pi)). How this helps!
Following are the calculation to the given value:
Given:
[tex]\to Z= 2+2i[/tex]
To find:
[tex]Z^4=?[/tex]
Solution:
[tex]\to Z= 2+2i[/tex]
[tex]\therefore\\\\i^2= -1[/tex]
[tex](a+b)^2= a^2+b^2+2ab[/tex]
Square the given value:
[tex]\to Z^2= (2+2i)^2[/tex]
[tex]= 2^2+(2i)^2+2 \times 2 \times 2i\\\\= 4+4i^2+8i\\\\= 4-4+8i\\\\=8i[/tex]
When [tex]Z^2= 8i[/tex] then again square the value
[tex]\to ( Z^2)^2= (8i)^2\\\\\to Z^4= 64i^2\\\\\to Z^4= -64\\\\[/tex]
Therefore, the final answer is "-64".
Learn more:
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Question 22 of 25
Which of the following are solutions to the quadratic equation below?
Check all that apply.
3x2 - 7x-3 = x
D A. 1
B. 3
] j
C. -3
D. -4
E.
=
1
O F..2
There are 40 female performers in a dance recital. The ratio of men to women is 3:5. How many men are in the dance recital?
PLS ANSWER I WILL GIVE YOU BRAINLIEST!!!! PLS
What is the common factors of 9 and 67
Please don't google it
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
9 1, 3 9
67 1 and 67
so just enjoy ur day and have a great Christmas and new year
There are 96 crayons in a box. Janice takes 9 crayons. How many are left?
Answer:
87
Step-by-step explanation:
Answer:
87 crayons
Step-by-step explanation:
96-9=87
Need help with this
Answer:
The value of x is 25
Step-by-step explanation:
A secant is a line that intersects a circle in exactly two points. When two secants, intersect at a point outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcsIn the given figure
→ In circle O
∵ GB and GD intersect it at points F, B, and E, D
∴ GB and GD are secants of circle O
∵ GB and GD intersect outside the circle O at point G
∵ They intercepted arcs EF and BD
→ By using the rule above
∴ m∠G = [tex]\frac{1}{2}[/tex] (m arc BD - m arc EF)
∵ m arc BD = m arc BC + m arc CD
∵ m arc BC = 35° and m arc CD = 100°
∴ m arc BD = 35 + 100 = 135°
∵ m arc EF = x
∵ m∠G = 55°
→ Substitute them in the rule above
∴ 55 = [tex]\frac{1}{2}[/tex] (135 - x)
→ Multiply both sides by 2 to cancel the fraction [tex]\frac{1}{2}[/tex]
∵ 110 = 135 - x
→ Subtract 135 from both sides
∴ -25 = -x
→ Divide both sides by -1
∴ 25 = x
∴ The value of x is 25
-5 ≤ -2; Add 7 to both sides
Help pls
Answer:
2 ≤ 5
Step-by-step explanation:
-5 ≤ -2 add 7 to both sides
-5+7 ≤ -2+7 calculate
2 ≤ 5
The regular price of a CD player is $89. It is on sale at a 25% discount. What is the sale price of the CD player?
Answer:
$66.75
Step-by-step explanation:
You would multiply $89 by .25 to find out what 25% is, then subtract that from $89 to get $66.75
Answer:
$66.75
Step-by-step explanation:
When we solve the inequality, will we keep or switch the inequality sign?
−2x>13
Keep
Switch
Answer:
switch I think cuz there is a negative
Step-by-step explanation:
Hope u have a nice day
Answer:
switch
Step-by-step explanation:
whenever u divide a number by a negative number across the inequality, the inequality sign switches
This one also thx PLZZ be right
Answer:
D. x = 2
Step-by-step explanation:
[tex]\frac{1}{2} x+3=\frac{5}{2} x-1[/tex][tex]\frac{1}{2} x-\frac{5}{2 }x=-1-3[/tex][tex]-\frac{4}{2} x=-4[/tex][tex]-\frac{4}{2} x (-\frac{2}{4} )=-4(-\frac{2}{4} )[/tex][tex]x = -4(-\frac{2}{4} )[/tex][tex]x=2[/tex]Answer:
x=2
Step-by-step explanation:
1/2x+3=5/2x-1
-1/2x -1/2x
3=4/2x-1
+1 +1
4=2x
/2 /2
2=x
Divide 2+1/2
A. 2
B. 16
C. 8
D. 4
Answer:
the answer would be 4, the number 2 would double since your dividing it by 0.5
Solve the system of linear equations by substitution.
1/2x +y=-4
y = 2x + 16
Answer:
y = 0
x = -8
Step-by-step explanation:
1/2x + y = - 4
y = 2x + 16
1/2x + (2x + 16) = - 4
1/2x + 2x = - 4 - 16
5/2x = -20
2/5 x 5/2x = -20 x 2/5
x = -40/5
x = -8
y = 2x + 16
y = 2(-8) + 16
y = -16 + 16
y = 0
Check:
1/2x + y = - 4
y = 2x + 16
1/2(-8) + (0) = -4
-4 + 0 = -4
-4 = -4
y = 2x + 16
(0) = 2(-8) + 16
0 = -16 + 16
0 = 0
If bc+ad=b solve for a
Answer:
10
Step-by-step explanation:
Answer:
a = c/d
Step-by-step explanation:
ad = b-bc
ad = c
a = c/d
Create an expression that would represent the area of a triangle.
Answer:
a = 1/2 (15 *5)
Step-by-step explanation:
a = 1/2 (b * h)
1/2 (15 *5)
Answer:
1/2 (15x5)
Step-by-step explanation:
Area = 1/2bh
Bianca set the thermostat in her house to 87°F, which was 13° warmer than the temperature outside. What temperature was it outside?
Confused.
Answer: 74 degrees Fahrenheit
Step-by-step explanation: the temperature outside was 13 degrees lower than 87 degrees, so 87 - 13 = 74
Answer:
74 degrees F
Step-by-step explanation:
Subtract the 87 - 13
This is because there are +13 degrees more than outside. So if you add 74 + 13 that were added by the thermostat, you get 87 degrees. Does it make sense?
Just subtract :)
What is the solution to this subtraction sentence?
-5/6 – (-1/2) = ________
A. -4/3
B. -5/6
C. -1/2
D. -1/3
Answer:
D: -1/3
Step-by-step explanation
Answer:
The answer is D.-1/3
Step-by-step explanation:
I took the quiz
f) Cosec2A + Cot4A = CotA – Cosec4A
Answer:
True (the sides are equal)
I hope this helps!
17/6 + 4/3 fractions
Answer:
25/6
Step-by-step explanation:
I multiplied 4/3 by 2, so the new fraction is 8/6. You add 17/6 with 8/6, and you get 25/6. I hope you understand.
DOES ANYONE KNOW WEDNESDAYS QUESTION PLS HELP I HAVE 5 minutes
Answer:
-1/2Step-by-step explanation:
Hope this helps!! Please consider marking brainliest! Have a good one!!
Evaluate 5.5r8.35s when r12 and s4.
Answer:
32.6
Step-by-step explanation:
when you plug in for s and r you will get 66-33.4 since 5.5 multiped by 12 is 66 and 8.35 multiplied by 4 is 33.4 .
then you subtract them and that's how you'll get your answer
Find the value of x
Answer: x= 108
Step-by-step explanation: The triangle is an isosceles triangle, so the two sides are parallel which means the other angle equals to 72 as well. Now we take the triangle rule and do 180-72-72= 36 (the top angle= 36). The triangles are all equal so that means the other angle (in the upside down one) also equals 72 so we take 36+72= 108. Since it is also a parallelogram, the angles are equal.
the number of employees went from 7623 to 6824 what percent did this increase or decrease
Answer:
9.5% decrease
Step-by-step explanation:
A statistics teacher announces to the class at the beginning of the semester that there is a 40% chance that a randomly chosen student will finish the semester with an A in the class and there is a 60% that a randomly chosen student will get an A on a test during the semester. Is the probability that a randomly chosen student receives an A in the class and an A on a test during the semester equal to 0.24? Yes, because the chance of getting an A on a test and getting an A in the class are mutually exclusive. Yes, because the chance of getting an A on a test and getting an A in the class are mutually exclusive. No, because the chance of getting an A on a test and getting an A in the class are not independent. No, because the chance of getting an A on a test and getting an A in the class are not independent. Yes, because the chance of getting an A on a test and getting an A in the class are independent. Yes, because the chance of getting an A on a test and getting an A in the class are independent. No, because the chance of getting an A on a test and getting an A in the class are not mutually exclusive.
Answer:
c. No, because the chance of getting an A on a test and getting an A in the class are not independent.
Step-by-step explanation:
brainly?
can someone help me with the equation(s)
She purchased 8 sports drinks
{d=p+3
2.25p+1.25d=21.25
d=p+3
p=d - 3
2.25(d - 3) + 1.25d = 21.25
2.25(d-3) + 1.25d=21.25
2.25 - 6.75 + 1.25d = 21.25
3.5d = 21.25+6.75
d=28/3.5
D=8
Plz answer these 2 I’ll mark brainliest
Answer:
16. C
17. B
sorry if i got it wrong
Answer:
THE ANSWER
A
B
Step-by-step explanation:
MARK BRAINLIEST
pls help this is due today!!! if correct I'll make Brainliest!!!!
1= 1/8
2= 4/8
3= 2/8
Step-by-step explanation:
Write 3 9/10 as an improper fraction.
Answer:
39/10
Step-by-step explanation:
Answer:
39/10
Step-by-step explanation:
to make 3 9/10 an improper fraction all you have to do is take the whole number-3 and take the denominator-10 and multiply them 3 x 10 = 30, then add it to the numerator 9 + 30 equals 39 this is your new numerator
ahhhh I need help please!!
Answer:
two teaspoons i think sorry if this doesnt help
Step-by-step explanation:
Solve the system of equations using elimination.
3x-2y=5
x+2y=3
Answer:
x = 2
y = 1/2
Step-by-step explanation:
3x - 2y = 5
x + 2y = 3
We don't have to mutiply anything because we have values that we can eliminate.-2y and 2y can be crossed off becuase they have the same value and plus and minus cancel out. We can add instead of changing the signs.
4x = 8
x = 2
Now we know that x = 2. To find y we have to plug in x into one of the equations. I am going to use x + 2y = 3.
2 + 2y = 3
2y = 1
y = 1/2
Now we figured out y. I hope I helped!
a sandbox is in the shape of a right triangle. The two legs measure 9 inches and 16 inches. what is the perimeter of the sandbox?
Answer:
Perimeter = 50 inches
Step-by-step explanation:
Use pythagoreon theorem to find the hypotenuse
a^2 + b^2 = c^2
3^2 + 4^2 = 5^2
9 + 16 + 25 = perimeter
perimeter = 50