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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Step-by-step explanation:
The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how
many boys are there?
Answer: 52 boys
==================================================
Explanation:
g = number of girls
g+26 = number of boys because there are 26 more compared to girls
The ratio of boys to girls is 2:1, meaning g+26 is twice as large compared to g
number of boys = 2*(number of girls)
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Please help! :0 :0 PLEASEEEEEE
Answer:
i would say either F or G
i guess choose F
Answer:
8
Step-by-step explanation:
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.
If we plug y=5 back into one of the original equations:
5x+y=35
5x+5=35
5x=30
x=6
-5x+5y=-5
-5x+5(5)=-5
-5x+25=-5
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x=6
Which confirms that x=6 and y=5 are indeed the correct solutions
Answer:
x=6 ,y=5
Step-by-step explanation:
6y=30,y=5
x=6
Find -5(-12) + (-15)
With explanation please i forgot how to do it
Answer:
45
Step-by-step explanation:
-5(-12)+(-15)
--> Multiply -5 and -12 to get 60
60-15
--> Subtract 15 from 60 to get 45
Hope this helps you!
Calculate the values of a, b and c. Give reasons for your answers.
Quickly plsss
50 points
a = 70°
b = 55°
c = 40°
identify the construction that the figure represents
Answer:
(b) congruent segments
Step-by-step explanation:
One copies the length of a segment to make congruent segments. This is done by setting the compass radius to the length of the segment to be copied, then marking the segment length on another line using a given point as a center.
_____
Additional comment
The appearance here is that the segments are not actually congruent, so apparently a mistake has been made in the construction. No angles are shown, and there aren't enough points or arcs shown to support a conclusion that some other construction is being attempted.
Find the value of x in the equation below. 5.4=2x
Answer:
x = 2.7
Step-by-step explanation:
5.4 = 2x
2x = 5.4
Divide both sides by 2.
x = 2.7
Answer: x= 2.7
1. Divide 2 on both sides
2. cancel terms who have the same numerator and denominator
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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If the area of the trapezoid shown is 200 square feet, what is the height h of the trapezoid?
Answer:
[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].
[tex]200 = \frac{1}{2}h(10\sqrt{2} + 14\sqrt{3})[/tex]
[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
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.
Will the given side lengths from a right triangle?yes or no 4.5,6and 7.5
Yes it is possible.
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non so cosa intendi per intero
Step-by-step explanation:
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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
10.5/0.75 (I just converted everything into a fraction to make it easier)
solve:
10.5/0.75 = 14
Another way to solve:
10 1/2 / 3/4
= 21/2 * 4/3
= 21*4/2*3
= 84/6
= 14
Check:
If Alex washes 14 windows per hour, you can check by multiplying 14 by 3/4 of an hour
14*3/4
=42/4
=10.5
10.5 is the same as 10 1/2
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
(90+X) = 110
X = 110-90
X = 20
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
⇒ 90 + X = 22 × 5
⇒ 90 + X = 110
⇒ X = 110 - 90
⇒ X = 20
Thus, The value of x will be 20.
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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
0.8 × 100 = x
x = 80
(32/40×100%)= 80
a group can plant 3/4 acres in 1 7/8. What os the unit rate in acres per day? Write your answer in simplest form.
Answer number 11 to see if your smarter than my students
the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+
A construction worker measures the amount of cement in a cement truck every 5 minutes as it empties. The table shows the data What is the rate of change for the volume of cement in the truck?
the rate of change of the amount of cement is:
Answer:
35
Step-by-step explanation:
210 - 175 = 35
175 - 140 = 35
140 - 105 = 35
105 - 70 = 35
I hope this helps!
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
Step-by-step explanation:
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321
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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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Step-by-step explanation:
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Step-by-step explanation: :þ
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Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
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
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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]