Answer:
1 - i
Step-by-step explanation:
[tex] {i}^{19} + {i}^{20} \\ \\ = {i}^{18} .i + {i}^{20} \\ \\ = {( {i}^{2} )}^{9} .i + {( {i}^{2} )}^{10} \\ \\ = {( - 1)}^{9} .i + {( - 1)}^{10} \ \\ ( \because \: {i}^{2} = - 1) \\ \\ ( - 1).i + 1 \\ \\ = - i + 1 \\ \\ = 1 - i[/tex]
Prove that (Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A
Answer:
The answer is below
Step-by-step explanation:
We need to prove that:
(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.
Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.
Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A
[tex]\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA[/tex]
SOMEONE PLEASE HELP ME I WILL GIVE BRAINLY
Answer:
C
Explanation:
A function always goes along the x-axis and never repeats
A, B and D repeat on the x-axis so C is your answer
Graph y = -3/2 x-3
It would be helpful if you wrote the coordinates I have to change them to !!!
Answer:
(-2,0),(0,-3)
Step-by-step explanation:
Set x to zero to find the Y intercept which is (0,-3)
Set Y to zero and use algebra to find out the x intercept which is (-2,0)
p(x)=(1)/(x+1) and q(x)=(1)/(x-1) perform the operation that results in another rational expression p(x)/q(x)
9514 1404 393
Answer:
p(x)/q(x) = (x -1)/(x +1)
Step-by-step explanation:
[tex]p(x)\div q(x)=\dfrac{1}{x+1}\div\dfrac{1}{x-1}=\dfrac{1}{x+1}\times\dfrac{x-1}{1}\\\\ \boxed{\dfrac{p(x)}{q(x)}=\dfrac{x-1}{x+1}}[/tex]
Una persona toma un préstamo de $ 7500 para su liquidación en 6 amortizaciones mensuales iguales, con una tasa de interés del 2.5% mensual. Calcular la amortización y el valor de la cuota a pagar en el tercer mes.
Answer: $1,266.697.
Step-by-step explanation:
given data:
loan amount = $7500
duration = 6 months
interest rate = 2.5%
Solution:
[tex]A = P \frac{i(1+i)^{n} }{(1+i)^{n} -1}[/tex]
i = [tex]\frac{2.5}{100} \\= 0.025\\\frac{0.025}{6} \\= 0.004167[/tex]
=
= [tex]7500(\frac{0.00427}{0.0253} )[/tex]
= [tex]7500(0.169)[/tex]
= $1,266.697
Cho is making a rectangular garden, where the length is x feet and the width is 2x + 8 feet. He wants to add garden stones around the perimeter of the garden once he is done.
If the garden is 5 feet long, how many feet will Cho need to cover with garden stones?
Cho will need to cover _______ feet with garden stones.
Answer:
38 feet
Step-by-step explanation:
P(x) = ℓ(x) + ℓ(x) + w(x) + w(x)
= x + x + (4x - 1) + (4x - 1)
= (x + x + 4x + 4x) + (-1 -1)
= 10x - 2
P(4) = 10(4) -2 = 38
The perimeter is 38 feet when the length is 4 feet long, so Cho will need to
cover 38 feet with garden stones.
QUESTION SHOWN ON PHOTO.
All of the points on the graph could represent rational numbers. (-1, 0, 1, 4.5)
Answer:
B
Step-by-step explanation:
A: false, point C isn't a rational number
B: True, Every negative integer is a negative rational number, like point A
C: false, point D is a fraction, therefore, point D is a rational number
D: false, like said in A, point C isn't a rational number
how many solutions does 6x-1=2x+5+4x-6
Answer:
(−∞,∞)
Step-by-step explanation:
I think this is the answer
Answer:
Infinante solutions
Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). What are the coordinates of point B?
Step-by-step explanation:
Let (x, y) be the coordinates of point B.
(4, 6) => (-2, 4) => (x, y)
We have 2(-2) = 4 + x and 2(4) = 6 + y.
Solving these, we get x = -8 and y = 2.
Hence the coordinates of point B is (-8, 2).
Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). Hence the coordinates of point B will be (-8, 2).
What are the coordinates of the midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A (p,q), and B (m,n)
Then let the midpoint be M(x,y) on that line segment.
Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
Let (x, y) be the coordinates of point B.
Q has coordinates of (-2, 4).
A has coordinates of (4,6).
A (p,q) = (4, 6)
M(x,y)= (-2, 4)
B = (x, y)
We have
2(-2) = 4 + x
2(4) = 6 + y.
Solving these, we get
x = -8 and y = 2.
Hence the coordinates of point B will be (-8, 2).
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Determine the domain on which the following graph of f(x) is negative.
Answer:
there is no graph.
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given point and slope.
through: (-2,-2) slope:
A.y = 3x - 1
B.y = 2x +3
C.y = x + 7
D.y=x
Answer:
hmmmm
Step-by-step explanation:
Write each equations in standard form.
10.y + 1 =X+2
13.y 4=-K-1)
Answer:
10. -x + y = 1.
Step-by-step explanation:
10. y + 1 = x + 2
y - x = 2 - 1
-x + y = 1.
v. If ∆PQR≅∆ XYZ then which statement is true.
a.
If ∆PQR≅∆ XYZ
that means PQ≡XY;QR≡YZ;PR≡XZ
A grill at Rudy's restaurant will be used to cook sausage links that are2 lb each and briskets that are 8 lb each. No more than 140 lb of sausage links and briskets will be cooked on the grill for a graduation party.
Answer:
Step-by-step explanation:
The first one is correct.
Answer:
The firest one( 2x + 8y ≤ 140 )
Step-by-step explanation:
What is the additive inverse of the number 1.6?
≈A. -1.6
≈B. 0
≈C. 1
≈D. 6.1
Answer:
The additive inverse is -1.6
Answer:
-1.6
Step-by-step explanation:
only doing this so the this so the other person can get brainlyest
Have a great day
drake gathers half of the money he had saved up plus the $50 his father gave him to buy a new scooter that costs $125. Write an equation to help you determine the amount of money drake has saved up.
Answer:
let x = amount of money saved up
x/2 + 50 = 125
Step-by-step explanation:
“[The city’s engineers excelled in areas] neglected by the Greeks, such as the construction of roads and aqueducts, and of sewers that could wash the filth of the city into the Tiber. They have built paved roads throughout the country, leveling ridges and filling up hollows, so as to make possible the movements of heavily loaded wagons. . . . And such is the quantity of water brought in by the aqueducts, that veritable rivers flow through the city and its sewers: almost every house has cisterns, waterpipes, and copious fountains.”
—Strabo, as quoted in
Empires Ascendant: Time Frame 400 B.C.–A.D. 200
What area of engineering did the Greeks neglect?
a.
buildings
c.
monuments
b.
roads
d.
arches
Please select the best answer from the choices provided
A
B
C
D
Answer:
the greeks neglected roads
b. roads
Answer:
B. roads
Step-by-step explanation:
The other person got it correct
Could you guys help me ? I'll give brainliest
When you raise a number to a negative exponent, change the exponent to a positive and make the complete number a fraction with 1 as the numerator.
5 ^-2 = 1/5^2
The answer is C.
Write an inequality to fit the given inequality the line pass through (0,1) and (1,3)
Answer: Y< 2/1x +1
Step-by-step explanation: (Slash mark means a fraction)
What is the area of square FGHI?
Answer:
Step-by-step explanation:
To get a length of any side 8+10=18
the area= L^2=
18^2=324m
HELP NEED FAST!!!!!!
Which graph shows a negative slope and a positive y-intercept?
Answer:
the second one on the top right
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
You can tell by where the line crosses the y-intercept as a positive, and the direction in which the line is going tells you it has a negative slope
You are going on a trip. To get to the beach, you have to drive 475 miles. If you can average 50 miles per hour on your drive, which equation shows how much farther you have to drive over time?
Answer:
C= -50x+475
Step-by-step explanation:
Step one:
given data
distance travelled = 475miles
velocity = 50miles per hour
let the distance you cover per hour be x
hence per hour, your distance decreases by 50x hours
Required:
The expression for the distance remaining
Step two:
let the distance remaining be C
hence the expression
C= -50x+475
Answer:
The answer is in the picture.
A company uses 6,000 gallons of
water each month. If they reduce their
monthly water use by 12%, how much
water will be saved each month?
Answer:
5280
Step-by-step explanation:
2x + 9 > 21
solve the inequality
Answer:
x>6
Step-by-step explanation:
2x + 9 > 21
2x > 21-9
2x>12 dividing by 2
x>12/2
x>6
hope this helps
Answer:
x > 6
X has to be smaller than 6
Tanya wants to buy a sweater that is on sale for 20% off. If the sweater originally costs $10.52, what is the amount of the discount?
Answer:
$2.10
Step-by-step explanation:
Well 20% is basically 0.2
So 10.52 X 0.2 = $2.104 discounted
I think you need to round this because money is the unit so
$2.10 is your answer.
Answer:
2.10
Step-by-step explanation:
2 milliliters is how many teaspoons?
Answer:
0.405768
Step-by-step explanation:
In 4 days, the price of a share of stock rose 3/4 of a point. On average, what was the change in stock price everyday
Answer:
3
Step-by-step explanation:
If you multiply 3/4 and 4 days together you will get 3 so the answer is 3
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
please help i will give brainlest
Answer:
Option 1 and 3Step-by-step explanation:
Option 1
Use point (0, 11)
y - 11 = 0 ⇒ y = 11 ⇒ correctOption 2
Incorrect for any pointOption 3
Use point (2, -1)
y + 1 = 0 ⇒ y = -1 ⇒ correctOption 4
Use point (3, -7)
y - 7 = 0 ⇒ y = 7 ⇒ incorrectInsert some division signs to make the correct equality 2 8 7 4 = 1
Answer:
28 / 7 /4 = 1
Step-by-step explanation:
Division Signs to make the correct equality are 2 8/ 7 / 4 = 1
What is equality?In mathematics, the equal sign denotes parity between quantities, equations, or expressions written on either side. Equal to is represented by two thin, parallel horizontal lines. The "equal to" sign is used to indicate that two items are the same or equal. For instance, 1 + 1 = 2.
A division sign exists the symbol ÷ used between two numerals to demonstrate that the first number maintains to be divided by the second.
Given,
a = 28/7 = 4
b = 4/4 = 1
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