Answer:
1
Step-by-step explanation:
Find the argument of the complex number -3–9 in the interval 0°< ϴ < 360°,
rounding to the nearest tenth of a degree if necessary.
Answer:
[tex]\theta=251.6^\circ[/tex]
Step-by-step explanation:
Complex Numbers
They are expressed as the sum of a real part and an imaginary part:
[tex]Z = a+b\mathbf{ i}[/tex]
Complex numbers can also be expressed in polar form:
[tex]Z = r(\cos\theta+\sin\theta \mathbf{ i}) = r. cis(\theta)[/tex]
Where r is the modulus of the complex number and θ is the argument.
The argument can be calculated by:
[tex]\displaystyle \tan\theta=\frac{b}{a}[/tex]
The angle θ must be calculated in the appropriate quadrant depending on the signs of the real and imaginary parts.
The complex number is given as:
[tex]Z = -3 -9\mathbf{ i}[/tex]
Here: a=-3, b=-9
Since both components are negative, the argument lies in the third quadrant (180° < θ < 270°).
[tex]\displaystyle \tan\theta=\frac{-9}{-3}[/tex]
[tex]\displaystyle \tan\theta=3[/tex]
[tex]\theta=\arctan(3)[/tex]
The calculator gives the answer 71.6°, we need to adjust the angle to the third quadrant by adding 180°, thus
[tex]\mathbf{\theta=251.6^\circ}[/tex]
factor completely.
6x^2- 150
A) 6(x-5)^2
B) 6(x-5) (x+5)
C) (3x+2) (2x-75)
D) 6(x+5)^2
E) (2x-15) (3x+10)
Answer:
B) 6(x-5) (x+5)
Step-by-step explanation:
Common factor.
6 ( ^2 − 25)
Use the sum-product pattern.
6 ( ^2+5−5−25).
Common factor from the two pairs.
6((+5)−5(+5)).
Rewrite in factored form.
6 ( − 5 ) ( + 5).
What is the answer? Also can u help with the working out.
Answer:
Step-by-step explanation:
A. y= -x+2. The -x makes the line go from left to right. The points are (0,2)(2,0)
B. 3y=2x-1 points are (2,1)
The triangles in the picture are congruent by which method
Answer:
ASA
Step-by-step explanation:
what would be the slope intercept form?
Answer:
[tex]y=\frac{7}{2} - 4[/tex]
Step-by-step explanation:
y = mx + b
Where M is the slope and b is the Y-intercept
01:29:01 Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he sold. The expression that can be used to represent x, the price of the shoes, is 0.05 x = 1 What was the price of the shoes?
Answer:
the price of the shoes is $20
Step-by-step explanation:
According to the question, The computation of the price of the shoes is shown below:
Data provided in the question
0.05x = 1
Based on the above information
We now solve for x
x = 1 ÷ 0.05
It can be written as
= 100 ÷ 5
= $20
hence, the price of the shoes is $20
A triangle has sides with lengths of 72 millimeters, 90 millimeters, and 54 millimeters. Is it a right triangle?
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
a^2+b^2=c^2
The longest side is the hypotenuse so c^2 would be 90.
72^2+54^2=90^2
72 and 54 can be either a or b.
Solve for all exponents: 5184+2916=8100.
That equation is true, so the triangle is a right triangle.
pls answer. the question is at the photo
Answer:
a. -17
b. 193
Step-by-step explanation:
I'm assuming that we are only using the regular operations add, sub, div, and mult.
smallest number is just 1-8-4-6 = -17
largest number is 8*4*6+1 = 193, this is what I think
Can someone help me I don’t understand this
Use pythagorean theorem to get EG. If you have EG, you also have all the sides of the equilateral triangle.
a potato chip company packages chest by stacking them into a tall cylindrical K which units are most appropriate for measuring the thickness of an individual chip
Answer:
MIllimeters
Step-by-step explanation:
Its simple who measures this in inches or centimeters, or meters or anything else
Is this function linear or nonlinear?
y=2x2−4
10 POINTS
Answer:
I think it's nonlinear
solve the proportion : 3/8/1=x/8
Answer: 3
8
1
=
x
8
Also its in a fraction that's why i put it that way.
Step-by-step explanation:
3
8
1
=
x
8
Step 1: Cross-multiply.
3
8
1
=
x
8
(
3
8
)*(8)=x*(1)
3=x
Step 2: Flip the equation.
x=3
Answer:
x=3
A computer technician charges customers $75 per hour.
Let h represent the number of hours the technician works.
o f(h) = 75 + h
o f(h) = 75 + h
Of(h) = 75h
Of(h) = 75 - h
Answer:
C. f(h)=75h
Step-by-step explanation:
That is the answer, hope it helps!
Answer:
it is the first one f(h)=75+h
The battery life for Bruhier's cell phone is longer when he has fewer apps running. When only one app is running, the battery will last for
16 hours. When four apps are running, the battery will only last for 4 hours.
This situation represents
variation.
The constant of variation, k, is equal to
If eight apps are running, Bruhler's battery will last for 4 hours
Answer:
inverse, 16, 4
Step-by-step explanation:
The constant of variation when eight apps are running, battery lasts for 4 hours is 32.
What is Inverse Variation?When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.
The battery life varies inversely with the number of apps running
The battery life is denoted by b
and the number of apps is denoted by a
then
[tex]\rm b\; \alpha \; (1/a)\\\\b = k /a[/tex]
here k is the proportionality constant
The battery lasts for 16 hours when the apps opened is 1
The battery lasts for 4 hours when the apps opened is 4
16 = k
The constant of variation when eight apps are running, battery will last for 4 hours
[tex]\rm 4 = k /8[/tex]
k = 32
To know more about Inverse Variation
https://brainly.com/question/11592410
#SPJ2
How would you graph the solution set of x + 4 > -9?
Answer:
x>-5
Step-by-step explanation:
-9 - -4 =-5
x>-5
↝ Graph from Number Line ↝
x + 4 > -9
x + 4 + 9 > 0
x + 13 > 0
x > -13
↝ Then we plot a dot/small circle (open dot) at -13 then straight draw a line from -13 to the right. (Shown in the picture)
I need help on this one. it says solve for w. and it says w-8=32. will someone help plz thx.
Answer:
w= -4
Step-by-step explanation:
First we know 8 x 4 is 32 so then we make the 8 negative
and divide -8 by 32 which is -4
You can check it by doing -4 x -8 which is 32!
Remember-
1. When you multiply two negatives it equals a positive.
2. You can check by plugging -4 where w is then solving.
3. If there is a subtraction next to a number (w-8) then whichever number the subtraction sign is in front of is negative.
4. If a variable is next to a number it means to multiply the variable by the number.
The local farm market sell peppers at five for $2.25
Answer:
Wait what is the question?
PLZZ HELP!
Calculate the Discriminant
Equation
Discriminant
Correct?
2x2 + 5x – 3 = 0
D=
Not yet
x2 + 7x + 2 = 0
D=
Not yet
3x2 - 12x + 12 = 0
D=
Not yet
5x2 – 2x – 11 = 0
D=
Not yet
x2 – 5x + 8 = 0
D=
Not yet
Which of these numbers is irrational?
A. 35
B. 5
C.
O D. -3.5
Answer:
the answer is 35
Step-by-step explanation:
it is a very messy number if your square root it
None of the given numbers are irrational numbers as they can be expressed in the form of p/q.
What are irrational numbers?An irrational number is a number that cannot be expressed as a fraction p/q for any integers {p} and {q}.
Given are the numbers in the options.
None of the given numbers are irrational numbers as they can be expressed in the form of p/q.
Therefore, None of the given numbers are irrational numbers as they can be expressed in the form of p/q.
To solve more questions on rational and irrational numbers, visit the link below -
https://brainly.com/question/17450097
#SPJ5
(x + 26)
(3x)
X=
Helpppp
Answer:
x = 13
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesGeometry
Vertical AnglesStep-by-step explanation:
Step 1: Set up equation
3x = x + 26
Step 2: Solve for x
Subtract x on both sides: 2x = 26Divide 2 on both sides: x = 13Which identity is the result of using the pythagorean theorem to show that a triangle with side lengths x^2 - 1, 2x, and x^2 + 1 is a right triangle?
A. (x^2 - 1)^2 + (2x)^2 = -(x^2 + 1)^2
B. -(x^2 -1)^2 + (2x)^2 = (x^2 +1)^2
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
D. (x^2 - 1)^2 - (2x)^2 = (x^2 + 1)^2
9514 1404 393
Answer:
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
Step-by-step explanation:
Inexplicably, three of the four answer choices have minus signs in them. Those are all incorrect. The appropriate choice is ...
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
__
Expanded, this is ...
x^4 -2x^2 +1 +4x^2 = x^4 +2x^2 +1 . . . . the desired identity
Answer:
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
Step-by-step explanation:
help :D i don’t understand number 8 or 9
Answer:
If the rate of change is -3, just subtract -3 from 14 (or make the equation to help you).
_________________________________________________________
The equation for the first one is:
y = -3x + 14
When you plug in the x values, you get the y values:
(-2, 20), (1, 11), (3, 5), (4, 2), (6, -4)
For the second one, the start value is 2, meaning that is is y. This means that when 2 is plugged in for y, the result is 0 (x). Now we can make the equation:
y = 0.4x + 2
When you plug the x values in, you get the y values:
(-1, 1.6), (1, 2.4), (4, 3.6), (5, 4), (10, 6)
_________________________________________________________
solve for x pls help me
Answer:
90
Step-by-step explanation:
circumference of total circle = 16 pi
16 pi / 4 pi = 4
1 / 4 =25%
1/4 * 360 = 90
Select the equation of a line in slope-intercept form that passes through (-2, 2) and is perpendicular to the graph of y=1/2 x-3.
O A y=-2x + 2
O B. y=-2x - 2
O C. y=x-2
O D.y= 3x+2
Answer:
B
Step-by-step explanation:
Topic: Coordinate Geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Which is an equation of the line with a slope of 1/4 and a
y-intercept of - 2?
Answer:
y = 1/4x - 2
Step-by-step explanation:
I hope this helps :)
Answer:
y = 1/4x - 2
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 1/4
y-intercept b = -2
Step 2: Plug into formula
y = 1/4x - 2
Benjamin bought a 5-pound bag of flour for $7.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)
Answer:
7.95 divided by 5 times 16 so 7.95 divided by 80= so about 10 cents
Step-by-step explanation:
determine whether the relation is a function. if the relation is a function determine whether it is linear or not linear
Answer:
We conclude that the relation is a function but it is not a linear function.
Step-by-step explanation:
The given table represents a function because each input or x-value is related to exactly one output or y-value.
In other words, there is no repetition of 'x' values. This indicates that the given relation in the table represents a function.
In order to check whether the function is linear or not linear, we need to check how x and y values change.
The table indicated that x increases by 2, now we need to determine whether the y-values increases at a constant rate or not. For this, we need to find the first difference between y-values.
-3 - (-8) = 5
3 - (-3) = 6
7 - 3 = 4
As the first difference between the consecutive y-values is not constant, meaning that y-values do not increase at a constant rate as x-values increase by 2.
Thus, it is not a linear function,
Therefore, we conclude that the relation is a function but it is not a linear function.
How many kilograms equal 22 pounds? [1 pound = 0.454 kilogram
Answer: 9.97903k = 21.99999528
10k = 22.0462p
Step-by-step explanation:
Answer:
B 9.988
LOLOLOLOL
4y – 9 = -63
Someone, please help me find the steps of this equation!!
HELP ME PLEASE!!!
Answer:
The answer is y=-13.5
Step-by-step explanation:
4y-9=-63
add 9 from both sides because it's negative
4y=-54
divide both sides by 4 to isolate the variable
y=-13.5
Answer:
4y-9=-63
add 9 from both sides because it's negative
4y=-54
divide both sides by 4 to isolate the variable
y=-13.5
⚠️⚠️ Find the correct for each input. Then, tell whether the function is linear or nonlinear ⚠️⚠️
Answer:
-1, -7
1, 3
3, -1
5, -5
Step-by-step explanation: