Answer:
k = - [tex]\frac{16}{15}[/tex]
Step-by-step explanation:
Since x = - 2 is a zero , then p(- 2) = 0 , that is
2(- 2)² - 3(- 2)(5k + 4) = 0
2(4) + 6(5k + 4) = 0 ← distribute parenthesis
8 + 30k + 24 = 0
30k + 32 = 0 ( subtract 32 from both sides )
30k = - 32 ( divide both sides by 30 )
k = [tex]\frac{-32}{30}[/tex] = - [tex]\frac{16}{15}[/tex]
Given Polynomial P(x) = 2x^2-3x(5k+4)
Zero = -2
We know that
If -2 is zero of the Polynomial then it satisfies the given Polynomial
⇛P(-2) = 0
⇛ 2(-2)^2-3(-2)(5k+4)=0
⇛ 2(4)+6(5k+4) = 0
⇛ 8+30k+24 = 0
⇛ 30k+32 = 0
⇛ 30 k = -32
⇛ k = -32/30
⇛ k = -16/15
Answer:- The value of k = -16/15.
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the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+
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First is 1, then 2, then 10
Step-by-step explanation:
I think this is right, could be completely wrong but I did blank times 50 equals 50, that is 1. Repeated with all the problems.
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The mean of 16, X, 3, 14,57 is 22. Find
Х
Answer:
20
Step-by-step explanation:
Given,
The mean of 16, X, 3, 14, 57 is 22.
Therefore,
(16+X+3+14+57)/5 = 22
(16+X+3+14+57) = 110
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X = 110-90
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The value of x will be 20.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mean of set 16, X, 3, 14, 57 is 22.
Now,
Since, The mean of 16, X, 3, 14, 57 is 22.
Hence, By definition of mean we get;
⇒ 16 + X + 3 + 14 + 57 / 5 = 22
Solve for x as;
⇒ 90 + X / 5 = 22
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⇒ 90 + X = 110
⇒ X = 110 - 90
⇒ X = 20
Thus, The value of x will be 20.
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Need help with this ASAP I’ll mark brainliest
Answer:
B' (3, 1 )
Step-by-step explanation:
Given
A (- 1, 3 ) → A' (- 3, 7 )
x- coordinate goes from - 1 → - 3 , that is - 2
y- coordinate goes from 3 → 7 , that is + 4
Translation rule is (x, y ) → (x - 2, y + 4 ) , then
B (5, - 3 ) → B' (5 - 2, - 3 + 4 ) → B' (3, - 1 )
Please help! :0 :0 PLEASEEEEEE
Answer:
i would say either F or G
i guess choose F
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Step-by-step explanation:
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489,162
Step-by-step explanation:
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What is the equation for this? please help!!
Answer:
the equation is y=x^2+8
somebody know the formula of a trapezium?
Hello There!
The formula for finding the area of a Trapezium is as follows.
A = a + b over 2, h
The first base being = a
The second base being = b
and the height being = h
So to solve plug in the values as described below.
a + b = ab
ab divided by 2
ab- times h
ab-h = Area
I hope I helped!
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The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how
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Answer: 52 boys
==================================================
Explanation:
g = number of girls
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number of boys = 2*(number of girls)
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Find -5(-12) + (-15)
With explanation please i forgot how to do it
Answer:
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Step-by-step explanation:
-5(-12)+(-15)
--> Multiply -5 and -12 to get 60
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System of equations pls help me
Answer:
x=6 and y=5
Step-by-step explanation:
We can eliminate the "x" variable by adding the two equations to get 6y=30. This means that y=5.
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Answer:
x=6 ,y=5
Step-by-step explanation:
6y=30,y=5
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Solve:
two fifths plus seven fifteenths equals blank
Question 3 options:
thirteen fifteenths
nine fifteenths
nine twentieths
nine fifths
Answer:
[tex]\frac{13}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{2.3}{5.3}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{6}{15}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{13}{15}[/tex]
Please include an explanation as well. Thank You!
[tex]A = \frac{B r_{1}r_{2}}{ C {x}^{2} } \\ = > A C {x}^{2} = B r_{1}r_{2} \\ = > r_{1} r_{2} = \frac{A C {x} ^{2} }{B} \\ = > r_{1} = \frac{A C {x} ^{2} }{B r_{2}} [/tex]
Answer:[tex]r_{1} = \frac{A C {x} ^{2} }{B r_{2}} [/tex]
Hope it helps.
Do comment if you have any query.
Alex washed 10 1/2 windows in 3/4 hour. At this rate, how many windows can he wash in one hour?
Answer:
In an hour, Alex can wash 14 windows.
Step-by-step explanation:
10 1/2 windows per 3/4 hour
per usually means a / sign because you are finding the unit rate
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Check:
If Alex washes 14 windows per hour, you can check by multiplying 14 by 3/4 of an hour
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CALCULATE
(32/40×100%) =??
NO SPAM PLEASE ,ಠ_ʖಠ
I WILL MAKE BRAINLIEST WHO WILL ANSWER CORRECT ( ╹▽╹ )
Answer:
[tex] \frac{32}{40} \times 100[/tex]
[tex] \frac{32}{4} \times 10[/tex]
[tex]8 \times 10[/tex]
[tex]80[/tex]
80 is the answer
Answer:
(32/40×100%)= x
(32/ 40 ) × 100 = x
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x = 80
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Miss Rudolph recorded the change in temperature of a cooling liquid as -27.5 Fahrenheit over 2.5 minute. The temperature fell at a constant rate what was the rate of change in the temperature
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If the area of the trapezoid shown is 200 square feet, what is the height h of the trapezoid?
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[tex]\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h[/tex] or 10.42 = h
Step-by-step explanation:
The area of a trapezoid is [tex]A = \frac{1}{2}h(b_{1} + b_{2} )[/tex].
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[tex]400 = { h(10\sqrt{2} + 14\sqrt{3} )[/tex] Multiply both sides by 2
[tex]\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h[/tex]
[tex]\frac{400}{38.39} = h[/tex]
10.42 = h
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Step-by-step explanation:
Which number represents a square root of 3 [cos(pi/2) + i sin (pi/2)]?
===========================================================
Explanation:
We use De Moivre's Theorem. It says that if you started with
[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]
then raising both sides to the nth power leads to
[tex]z^n = r^n*\left[\cos\left(n*\theta\right)+i*\sin\left(n*\theta\right)\right][/tex]
The term out front r is raised to the nth power. We also have copies of n inside the trig functions.
The square root operation undoes the squaring operation, so we'll be dealing with n = 2.
If you were to go through each answer choice, then you'll find that squaring choice B will lead to the original expression given.
[tex]z = \sqrt{3}*\left[\cos\left(\frac{\pi}{4}\right)+i*\sin\left(\frac{\pi}{4}\right)\right]\\\\\\z^2 = (\sqrt{3})^2*\left[\cos\left(2*\frac{\pi}{4}\right)+i*\sin\left(2*\frac{\pi}{4}\right)\right]\\\\\\z^2 = 3*\left[\cos\left(\frac{\pi}{2}\right)+i*\sin\left(\frac{\pi}{2}\right)\right]\\\\\\[/tex]
Note that working this process in reverse means we apply the square root and we'll go from the expression in choice B to the original expression again.
The complex number Z = √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number in the trigonometric form:
Z = √(3[cosπ/2 + i sinπ/2])
It is required to find the square root of the complex number.
To find the square root of the complex number we can use the De Moivre's theorem:
If
Z = r[cosθ + i sinθ]
Zⁿ = rⁿ[cosnθ + i sinnθ]
Using the above theorem:
Z = √3[cos[(1/2)π/2] + i sin[(1/2)π/2]]
Z = √3[cosπ/4 + i sinπ/4]
Thus, the complex number Z = √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.
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