Answer:
10i
Step-by-step explanation:
The square root of negative 100 is not equal to 10. If 10 was the square root of negative 100, then 10 squared would be equal to negative 100. But in fact, 10 squared is 10*10, which is obviously (positive) 100, not negative 100.
To determine the actual value of the square root of negative 100, we can proceed as follows:
Let s be the square root of negative 100.
Then s^2 = -100.
So s^2 = 100×(-1) = (10^2)×(i^2) =10×10×i×i = 10×i×10×i =(10i)^2.
So s = 10i.
So the square root of negative 100 is equal to 10i.
Note that the square of -10i is also equal to negative 100. 10i is the principle square root of negative 100.
Answer:
10i
Step-by-step explanation:
Since, it's a negative square root you have to use imaginary numbers to make it solvable. Hope this helps! :)
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:
brainly.com/question/25250313
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
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:
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
f) Cosec2A + Cot4A = CotA – Cosec4A
Answer:
True (the sides are equal)
I hope this helps!
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
Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points. He wants to know how many gold coins he needs to find.
Answer:
200/25×1
=8 gold coins
Step-by-step explanation:
The required number of gold coins he needs is given 8 coins.
Given that,
Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1 coin = 25 points
For 200 points number of coins is given as = 200 / 25 = 8 coins
Thus, the required number of gold coins he needs is given 8 coins.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
-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
Help me ASAP pls with this
Answer:-15,20
Step-by-step explanation:
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:
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.
A new pair of boots is priced at $123.75, plus 6% sales tax. What is the total cost of the boots?
Answer:
131.18
Step-by-step explanation:
ahhhh I need help please!!
Answer:
two teaspoons i think sorry if this doesnt help
Step-by-step explanation:
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
Each of the numbers 0, 2, 4, 6, 8, 10, 12, and 14 is written on a separate sheet of paper and placed into a box. One piece of paper is selected at random. Find the probability that the piece of paper selected contains the number 8 or a number less than 12.
Answer:
For the second, all numbers less than 12, that would be 87.5%
Step-by-step explanation:
There are eight numbers. 100 divided by 8 is 12.5. 12.5 multiplied by 7 is 87.5.
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
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?
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
Alarger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. 4x+2 y 2x+8 What is the value of the smaller number in the mathematical problem?
Answer:
the value of the smallest number is 3
Step-by-step explanation:
The computation of the value of the smaller number is shown below:
Given that
y = 4x + 2
y = 2x + 8
Now equate these two equations
4x + 2 = 2x + 8
4x - 2x = 8 - 2
2x = 6
x = 3
Hence, the value of the smallest number is 3
The same is to be considered
Answer:
The value number is 3
Step-by-step explanation:
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
Help me little brother with his math please
Answer: less,less greater
Step-by-step explanation:
Answer: #1 : less than 930
Answer: #2 : less than 930
Answer: #3 : greater than 930
Hope this helps older sis!
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.
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
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
Factorize;Answer the tick one i will mark you as brainlist please quickly step by step explanation also please show it clearly i will mark you as brainlist
Answer:
Solved only ticked ones
4a² + 49b² = (2a + 7b)² - 28ab = 11² - 28*2 = 654x² + 9y² = (2x + 3y)² - 12xy = 12² - 12*6 = 724x² + 9y² = (2x - 3y)² + 12xy = 2² + 12*8 = 10016x² + 25y² = (4x - 5y)² + 40xy = 6² + 40*8 = 356Answer:
use the formula:
[tex]a {}^{2} + {b}^{2} = (a + b) {}^{2} - 2ab[/tex]
1) 4a² + 49b²
= 2²a² + 7²b²
= (2a)² + (7b)²
based on the formula above, a = 2a and b = 7b
= ( 2a + 7b )² - 2(2a)(7b)
substitute 2a+7b = 11 into the equation
= 11² - 2( 14ab )
= 121 - 28ab
substitute ab = 2 into the equation
= 121 - 28(2)
= 121 - 56
= 65
2) 4x² + 9y²
= 2²x² + 3²y²
= (2x)² + (3y)²
based on the formula, a = 2x and b = 3y
= ( 2x + 3y )² - 2(2x)(3y)
substitute 2x+3y = 12 into the equation
= 12² - 2(2x)(3y)
= 144 -2(6xy)
= 144 - 12xy
substitute xy = 6 into the equation
= 144 - 12(6)
= 144 - 72
= 72
3) 4x² + 9y²
= 2²x² + 3²y²
= (2x)² + (3y)²
= (2x)² - (-3y)²
based on the formula, a=2x and b=-3y
= ( 2x-3y )²- 2(2x)(-3y)
substitute 2x-3y = 2 into the equation
= (2)² - 2(2x)(-3y)
= 4 - 2( -6xy )
= 4 + 12xy
substitute xy = 8 into the equation
= 4 + 12(8)
= 4 + 96
= 100
4) 16x² + 25y²
= 4²x² + 5²y²
= (4x)² + (5y)²
= (4x)² - (-5y)²
based on the formula, a = 4x and b = -5y
= (4x-5y)² - 2(4x)(-5y)
substitute 4x-5y = 6
= (6)² -2(4x)(-5y)
= 36 -2(-20xy)
= 36 + 40xy
substitute xy = 8 into the equation
= 36 + 40(8)
= 36 + 320
= 356
What are the coefficients and constants of 7+5x need fast!!!!
Answer:
35
Step-by-step explanation:
there u go have a great day!
Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?
Answer:
41 mphStep-by-step explanation:
s₁ = s₂ = x {the distance from A to B}
s = s₁ + s₂ = x + x = 2x {the distance of the round trip}
t = t₁ + t₂ {the time of the round trip}
v₁ = 30 mph
v₂ = 65 mph
t₁ = s₁/v₁ = x/30 h {the time of trip from A to B}
t₂ = s₂/v₂ = x/65 h {the time of trip from B to A}
The average speed:
[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]
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
lemma get some help plz
Answer:
-2.6f -16
Step-by-step explanation:
add like terms -
-2.6 + 0.3 = -2.6f
and
-12-4 = -16
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