Answers
Answer:
tan²x + tan x - 12 = 0 (1)
suppose: tan x = t
(1)=> t² + t - 12 = 0
a = 1 b = 1 c = -12
⇒ Δ = b² - 4ac = 1 + 48 = 49 > 0 => has 2 solutions
=> t = [tex]\frac{1+\sqrt{49} }{2}=\frac{8}{2}=4[/tex]
or t = [tex]\frac{1-\sqrt{49} }{2}=\frac{-6}{2}= -3[/tex]
because t = tan x => tan x = 4 or tan x = -3
because x ∈ [0;2pi) => with tan x = 4 => x = arctan(4) or x = arctan(4) + pi
with tan x = -3 => x = arctan(-3) + pi
Step-by-step explanation:
Related Questions
Which transformation(s) can be used to map one triangle onto the other? Select two options.
Answers
Answer:
Reflection only and rotation then translation I believe
Colin buys a car for £16300. It depreciates at a rate of 3% per year. How much will it be worth in 4 years? Give your answer to the nearest penny where appropriate. £
Answers
Answer:
The car will be worth £14,430.27 in 4 years.
Step-by-step explanation:
Average annual value lost: £1,186.37
First year depreciation: £489.00
Total depreciation: £1,869.73
Total depreciation percentage: 11.47%
Value of vehicle at end of ownership period: £14,430.27
HOPE THIS HELPS!!!
BRAINLIEST PLEASE
The graph of g(x) is the result of translating the graph of f(x) = [1/2]× three units to the left. What is the equation of g(x)?
A. g(x)=[1/2]×-3
B. g(x)=[1/2]×+3
C. g(x)=[1/2]×-3
D. g(x)=[1/2]× +3
Answers
To shift a graph to the left you add to the x value
The answer would be B. g(x)=[1/2]×+3
The equation of g(x) = [1/2]x + 3 which is correct option (B)
What is translation of graph?A translation of a graph is a shifting of the graph either horizontally or vertically parallel to the axis.
If g(x) was translated three units to the left to create f(x)= [1/2]x, then
g(x) - 3 = f(x)
g(x) = f(x) + 3 = [1/2]x + 3
So g(x) = [1/2]x + 3
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Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R is mph when T is seconds. Find the speed of a car that travels the given distance in seconds.
Answers
Answer:
4
Step-by-step explanation:hrllo sdkksfdjg jdskl fg
help meeeeeeeeeeee
pls
Answers
Answer:
with what lol?
Step-by-step explanation:
Answer:
with what
Step-by-step explanation: ican help
At school 40% of the teachers teach English if 20 teachers teach English how many teachers work at school
Answers
Answer:
Step-by-step explanation:
Change the 40% to a decimal, which is 40/100 or also equivalent to 2/5
Then divide the number of teachers by the percentage/decimal of teachers
20/(2/5) = 100/2 = 50 total teachers
The total number of teachers in the school is 50 teachers
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the total number of teachers in the school be = A
The percentage of teachers in the school who teach English = 40 %
The total number of English teachers = 20 teachers
So the percentage equation is ,
To calculate the total number of teachers
40 percentage of total teachers = 20 English teachers
So ,
( 40 / 100 ) x A = 20
Multiply by 100 on both sides , we get
40A = 2000
Divide by 40 on both sides , we get
A = 50
Therefore , the value of A is 50
Hence , the total number of teachers in the school is 50 teachers
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Complete the solution of the equation. Find the
value of y when x equals 15.
-3x - y = -51
Answers
Answer:
The solution of the equation y = 36
Step-by-step explanation:
Explanation:-
Given equation -3x-y =-51
Given that x =15 in equation -3x-y=-51
⇒ - 3(15) - y = -51
⇒ - 15 - y =-51
⇒ -15+ 51 = y
⇒ y = 36
Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69, 65, 87.
What is the mean height of Bella's corn stalks?
A. 69 cm
B. 75 cm
C. 78 cm
D. 80 cm
E. 81 cm
Answers
2(3y + 6) - 30 -4 - у)
Answers
you have to distribute if I'm not wrong 2(3y+6)-30 (-4-y)
2x3y= 6y 2×6=12 -30×-4=120 -30×-y=30y
6y+12+120+30y
Need help w this due today
Answers
Answer:
Step-by-step explanation:
you have a right triangle,
a^2+b^2=c^2
10^2=4^2+b^2
100=16+b^2
100-16=b^2
84=b^2
b=9.16
Madison saves 40% of all that she earns for washing cars. So far she has saved $72 . How much has she earned in all?
Answers
Answer:
40% = 72
divide both sides by 40 to find 1%
1% = 1.8
now multiply by 100 to find total amount earned
100% = 180
total earned $180
Please help me please
Answers
Solve the quadratic equation 3x^2-9x+1=0.
Please help.
Answers
Answer:
Exact Form-9+√69÷6
Decimal form-2.88443731
Step-by-step explanation:
3.
Which equation, together with y =-1.5x +3, makes a system with one solution?
A.
y =-1.5x + 6
B.
y=-1.5x
C.
2y =-3x + 6
D.
2y + 3x = 6
E.
y=-2x + 3
Answers
Answer:
Its would be E
Step-by-step explanation:
1.5x + 3 = -2x + 3 -1.5x = -2x 0.5x = 0 x = 0
Which is 0,3 and it’s only one solution.
The equation that gives the solution together with y = -1.5x + 3 is
y = -2x + 3
Option E is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 is an equation.
We have,
y = -1.5x + 3 ____(1)
y = -2x + 3 ____(2)
From (1 ) and (2) we get,
-2x + 3 = -1.5x + 3
-2x + 1.5x = 3 - 3
-0.5x = 0
x = 0
Now,
y = -2x + 3
y = 0 + 3
y = 3
Thus,
The solution is (0, 3).
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PLEASE ANSWER FAST!!!!!
Word problem ideas for 4x+10 2(x-6)
Answers
Step-by-step explanation:
Simplify 2(x-6)
2x+2•-6
2x-12
4x+10=2(×-6)=2x-12
X= helppp will put as brainliest
Answers
Answer:
the correct answer of x is 16
What is y? Helppp thank you !
Answers
Answer:
y = 42
Step-by-step explanation:
Since QT is a midsegment then it is half of RS , that is
QT = [tex]\frac{1}{2}[/tex] RS, substitute values
y = [tex]\frac{1}{2}[/tex] (y + 42) ← multiply both sides by 2 to clear the fraction
2y = y + 42 ( subtract y from both sides )
y = 42
enter the expression that is equivalent to: -1/2(6x - 10)
Answers
Because u have to divide bc it’s half
1.V Diferența a două numere este 38, iar descăzutul este 76. Scăzătorul este:
a. 38;
b. 29;
d. 83.
-
C. 114;
Answers
Răspuns:
38
Explicație pas cu pas:
Dat fiind :
Diferența dintre numere = 38
Subtractorul = x
Scădere = 76
Diferența dintre numere;
Scădere - scădere = diferență
76 - scădere = 38
76 - 38 = subtractor
Subtractor = 38
(2x + 4- 6x=24,5)
Find x
Answers
Answer:
x= −241 /4
Step-by-step explanation:
PLEASE HELP
2/3x-1/5>1 x=?
Answers
Answer:
x>9/5
Step-by-step explanation:
2/3x-1/5(+1/5)>1(+1/5)
[add 1/5 on both sides]
2/3x (÷3/2)>6/5 (÷3/2)
[flip 2/3 to 3/2 so that they cancel out]
x>9/5
~ ! ANGLE MEASURE ! ~
~Someone please help me out-~
Parallel lines m and n are cut by a transversal t. Which two angles are corresponding angles?
A. ) ∠1 and ∠5
B. ) ∠1 and ∠6
C. ) ∠1 and ∠2
D. ) ∠1 and ∠7
Answers
Answer:
1 and5
Step-by-step explanation:
.......?...........
Answer:
Yes! A. 1 and 5, is 100% correct
Sally runs for 5 miles. She drinks one bottle and 4/5 a bottle of water for every mile. If she runs for 3 more miles, how many bottles of water will she have drunk? Please help!!
Answers
Answer:
2.4 or 2 2/5 bottles of water
What is the area of the triangle?
7
4
8
units2
Answers
Answer:
14 units²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 4 , so
A = [tex]\frac{1}{2}[/tex] × 7 × 4 = [tex]\frac{1}{2}[/tex] × 28 = 14 units²
A 3-meter roll of red ribbon costs $1.89. What is the unit price?
Answers
Answer:
The price of ribbon is $0.63 per meter.
Step-by-step explanation:
It is given that:
Cost of 3 meter ribbon = $1.89
Unit price per meter = [tex]\frac{1.89}{3}[/tex]
Unit price per meter = $0.63 per meter
Therefore,
The price of ribbon is $0.63 per meter.
please help me solve this problem thankyou
Simplify 2/6+1/4
Answers
Answer:
same denominator as 12
2 x 2/ 6 x 2 + 1 x 3/ 4 x 3
4 +3/ 12
= 7/12
Answer:
The answer is 7/12I HOPE IT HELPS ❤️❤️A rectangular poster is 2/3 meter long and 1/2 meter wide. What is the area of the poster in sqaure meters?
Answers
Answer:
1/3 square meters
Step-by-step explanation:
Area = length x width
2/3 x 1/2 = 2/6 = 1/3
if you have 5 true or false questions with 4 answers each how many test are possible
Answers
Answer:
20 answers possible.
Step-by-step explanation:
5(4) is 20, since there are 5 true or false questions, and 4 answers per question, there will be a total of 20 questions.
PLS HELP I WILL GIVE YOU BRAINLY IF YOUR THE FIRST WHO ANSWERS!!!
Answers
Answer:
i think an right angle
Step-by-step explanation:
y=x+4
2x+3y=17
SOLVE USING SUBSITUTION
Show work
Answers
Answer:
( 1, 5 )
x = 1
y = 1
Step-by-step explanation:
y = x + 4
2x + 3y = 17
Since they gave us the value of "y" we can use that and substitute it into the equation to find what "x" is.
2x + 3y = 17
2x + 3 ( x + 4 ) = 17
Distributive Property
2x + 3 * x + 3 * 4 = 17
2x + 3x + 12 = 17
Combine Like Terms ( 2x and 3x)
5x + 12 = 17
Subtract 12 on both sides of the equation
5x + 12 - 12 = 17 - 12
5x = 5
Divide by 5 on both sides to isolate the variable
5x/5 = 5/5
x = 1
Now that we have what "x" is, we can substitute that into one of the equations to get the value of "y"
y = x + 4
y = 1 + 4
y = 5
x = 1
y = 5
( x, y )
( 1, 5 )
Hope this helped!
Have a supercalifragilisticexpialidocious day!