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
A jar is filled with pennies, nickels, and dimes. The probability of picking a penny is 1/4, and the probability of picking a dime is 1/3. What is the probability of picking a nickel? Write your answer as a decimal rounded to the hundredths place.
Answers
Answer:
What Are The Options?
Step-by-step explanation:
Answer:
0.42
Step-by-step explanation:
given:
P (penny) = 1/4
P (dime) = 1/3
since the only other possibility is to pick a nickel, hence
P (nickel)
= 1 - 1/4 - 1/3
= 5/12
= 0.4166667
= 0.42 (nearest hundredth)
A cylinder has a radius of 3 in and a volume of approximately 136.78 in? What is the height of the cylinder?
Round to the nearest tenth.
Answers
Answer:
4.835(I don't know unit.(m/in/cm)
Step-by-step explanation:
volume=πr^2h
136.78=22÷7×3^2×h
h=136.78×7÷(22×9)=4.835
The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent
I really need help
Answers
Answer:
30.4%
Step-by-step explanation:
Given data
originally price $457
new price= $318
Required
The percent mark down
Percent markdown= original- new/original*100
substitute
Percent markdown= 457- 318/457*100
Percent markdown= 139/457*100
Percent markdown=0.304*100
Percent markdown=30.4%
Hence the price was reduced by 30.4%
Which of the following graphs represents the equation y=-2x+3?
D
5
5
(0,3)
(0, 3)
(2, 2)
(1, 1)
(1, 1)
X
(-1,-1)
50.-2)
15
(0.3)
- 5
A. Graph A
B. Graph B
C. Graph C
D. Graph D
need help asap
Answers
y=-2x+3
start and plot at y intercept, 3. -2, can be rewritten as -2/1 is your slope. slope is rise over run, so y/x so 2 down, 1 right
(-5,-1); 2y=2x-4 help me ASAP please
Answers
(-5, -1) is not a solution to the equation 2y = 2x - 4.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
2y = 2x - 4 _____(1)
Ordered pair: (-5, -1)
Now,
(-5, -1) = (x, y)
Substitute in (1)
2y = 2x - 4
2 x (-1) = 2 x (-5) - 4
-2 = -10 - 4
-2 = -14
This is not true.
Thus,
(-5, -1) is not a solution.
Learn more about solutions of equations here:
https://brainly.com/question/545403
#SPJ1
x+3y=6
3x+9y=72
cdxddxdxfcfcgcffcffcfchcfcfhxhc
Answers
Answer:
No solution
Step-by-step explanation:
1) 3(x+3y=6)
3x+9y=72
2) 3x+9y=18
3x+9y=72
3) 3x+9y=18
-
3x+9y=72
____________
-54
Can someone please help me solve this (7th grade math)
Answers
Answer: 8x = 72
Step-by-step explanation:
and in case you need to go any further at any point, x = 9
It’s this because you are subtracting 14 from both sides so that it’s eliminated and then you can solve for x
In a high school football stadium, there are 3,892 seats. The stadium has 14 sections. Each section has the same number of seats.
How many seats are in each section?
PLZ help!!!!!! :(
Answers
Answer:
278, pls brainliest
Step-by-step explanation:
Answer:
278 seats per section
Step-by-step explanation:
Division
The division allows us to divide or 'share' numbers to find the answer to a problem.
For example, to evenly share 10 sweets between 5 kids, we use division to find 10/5 = 2 sweets per kid.
It's given a high school football stadium has 3,892 seats distributed in 14 sections and each section has the same number of seats.
To find the number of seats in each section we use division:
3,892 seats / 14 sections = 278 seats per section
Write an expression for "h less than 13"
Answers
Answer:
13-h is h less than 13. this is how you answer this.
Hey there!
Sometimes “less than” means “>” ( a number smaller than the number that’s being compared to) or “subtraction”
So, therefore your answer should be
[h < 13] or [h - 13]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
40.8-10 to the power of 2
Answers
Answer:
-4
Step-by-step explanation:
8-10 = -2
-2^2 = -4
948.64
Subtract then multiply by itself
No offense but can't you use a calculator?
PLEASE HELP!!
Which inequality describes all the solutions to -5x + 6 -9
B. x 4
Answers
Answer:
-5x-3
Step-by-step explanation:
-5x+6-9=-5x-3
The inequality that describes all the solutions to the given inequality expression is x > 4
Given the inequality expression -5x + 6 < 2(-3 − x)
Expand the right-hand side of the ineqality
-5x + 6 < -6 - 2x
Collect the like terms
-5x + 2x < -6 - 6
-3x < -12
Divide both sides by -3
-3x/-3 > -12/-3
x > 4
Hence the inequality that describes all the solutions to the given inequality expression is x > 4
Learn more here: https://brainly.com/question/15816805
Margo participated in a surfing competition. During the competition, the height of the ocean waves increased from two feet to six feet. a. Identify how many times greater the amount of energy carried by the six-foot wave was than the amount of energy caried by the two-foot wave. Explain your reasoning.
Answers
Answer:
three times the two foot wave wuold be the six foot wave
Step-by-step explanation:
because its right
16q3-48q2+32q what would be the steps on how to do this? please?
Answers
Answer:
Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.
so assuming the gaps missng are exponents
the solution is the same exact thing
it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine
same with 32 q, nothing combines
The answer is the original expression
Please help me ASAP
Answers
Answer:
BOTH SIDES ARE 12
Step-by-step explanation:
Answer:
x and y is equal to 33° as x and y are the equal angles of the isosceles triangle given in the figure.
Billy wrote a total of 32 pages over 16 hours. After spending 21 hours writing this week, how many pages will Billy have written in total? Assume the relationship is directly proportional.
Answers
Answer:
42
Step-by-step explanation:
Answer:
I'm not 100% sure about this but i think its 42
Step-by-step explanation:
this is what i did
32/16=2
2*21=42
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
the middle sign
Step-by-step explanation:
help for last one please
Answers
Answer:
the slope is one since the line rises once and runs once
Zoe went shopping for a new pair of pants. The listed price of the pair of pants was
$45, but the price with tax came to $46.35. Find the percent sales tax.
ASAP!
Answers
Answer:
3%
Step-by-step explanation:
46.35 - 45 = 1.35 (change)
change/original price X 100
1.35/45 = 0.03
0.03 X 100 = 3
sales tax 3%
factorize -pq -pr +mq +mr
Answers
Answer:
(q + r) (m - p)
Explanation:
-pq - pr + mq + mrFactor out common term 'p'= -p(q + r) + mq + mr
Factor out common term 'm'= -p(q + r) + m(q + r)
Factor out common term '(q + r)'= (q + r) (-p + m)
(q + r) (m - p)- PNW
Fill in the missing numbers to complete the pattern:
5.81, ,5.91,5.96, ,6.06
Answers
so the first one would be 5.86 and the second one would be 6.01
hopefully this helps!
find the rate of change /slope between its ordered pairs
(-5,13) and (1,1)
(-5,14)and (12,-21)
(1,1)and(12,-21)
Answers
Answer:
1.) -2
2.) -2
3.) -3
Step-by-step explanation:
Since we can't make a graph, we can make a table
(-5,13) and (1,1)
x y
-5 13
1 1
From 13 to 1, you subtract 12 ( y-section)
From -5 to 1, you add 6 (x-section)
Now we can do y/x
y/x = 12/6 = -2
The slope for this first one is (-2).
(-5,14) and (12,-21)
x y
-5 14
12 -21
From 14 to -21, you subtract 34
From -5 to 12, you add 17
Now we can do y/x
y/x = -34/17 = -2
The slope for this second one is (-2)
(1,1 )and (12,-21)
x y
1 12
12 -21
From 12 to 21, you subtract 33
From 1 to 12, you add 11
Now we can do y/x
y/x = -33/11 = -3
The slope for this third one is (-3)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Which of the following fraction pairs is equivalent?
6/12 and 8/20. 16/20 and 20/35. 2/6 and 7/21. 8/24 and 8/20
Answers
Answer:
2/6 and 7/21
Step-by-step explanation:
Elisa is saving an equal amount each week for 8 weeks to buy a video game that costs $40. How much is she saving each week?
A $4
B $5
C $32
D $48
Jesse chose C as the correct answer. How did he get that answer?
Answers
Answer:
Jesse must have subtracted the 8 weeks from $40 to get $32 but the answer should be b $5
Step-by-step explanation:
Simplify the following expression. 95 + 5[14 - (3 + 8)] A. 140 B. 190 C. 220 D. 110
Answers
Answer:
The answer is D. 110
Step-by-step explanation:
You add 8 and 3 and get 11 first because in parentheses, and then you subtract that by 14, which will give you 3. Then you multiply 3 times 5 to get 15 and add that to 95 to get your answer. Hope this helps!
Answer:
The answer is D. 110
Step-by-step explanation:
Help plz I don’t know how do this I’m am so confused I’m this
Answers
Answer: Example for ratio: For every 1 bike there are two wheels
Example for rate: A jet is traveling 460 mph
Step-by-step explanation:
Which of the following statements is false?
8<8
2>8
2<8
2<8
Answers
Answer:
8<8 and 2>8 are both false
Answer:
B
Step-by-step explanation:
can you pleas help me fine answer for
y-9=7(x-10)
Answers
Answer:
down below
Step-by-step explanation:
x = y/7 + 61/7
y= 7x - 61
pls help 60 POINTS ASAP
Answers
Answer:
4 by 5 inch rectangle
Step-by-step explanation:
Answer:
4 by 5 inch rectangle
Step-by-step explanation:
Loading . . .
Find the value of x. Your answer must be exact.
х
45° 18
Answers
Answer:
x = 63
Step-by-step explanation:
Simplifying
x + -18 = 45
Reorder the terms:
-18 + x = 45
Solving
-18 + x = 45
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + x = 45 + 18
Combine like terms: -18 + 18 = 0
0 + x = 45 + 18
x = 45 + 18
Combine like terms: 45 + 18 = 63
x = 63
Simplifying
x = 63
Drag each number to show whether it is equal to 50% , 0.2 , or neither
Answers
Answer:
Step-by-step explanation:
50% = 1/2, 0.5
0.2 = 2%
Other = 20%, 20/100, 1/5
Answer:
I put this, Its correct.
Step-by-step explanation:
50% : 1/2, 0.5.
0.2 : 20/100, 20%, 1/5.
Other : 2%
