Answer:
Assuming that x is in degrees (you could generalize this to any unit)
For an equation like:
sin(a*x) = K
The principle solutions are the values of x in the range:
0° ≤ x < 360°
And the symmetric ones are the solutions:
xₙ = x + n*360°
where n is an integer.
Ok, first let's solve:
2*cos(x) = -1
isolating the cosine part, we get:
cos(x) = -1/2
Now we can use the inverse cosine function, Acos(x)
If we apply this function to both sides, we get:
Acos (cos(x)) = Acos(-1/2)
x = Acos(-1/2) = 120°
x = 120° is the princpiple solution.
And the symmetric solutions are:
xₙ = 120° + n*360°
So for example:
x₁ = 120° + 1*360° = 480°
x₃ = 120° + 3*360° = 1200°
etc...
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
If A=28, then the measure of arc BA is_____
Answer:
124
Step-by-step explanation:
Have a nice day :)
Arc AC is 180º, arc BC is 56º:
[tex]180+56 +\arc{BA} = 360\implies BA = 124[/tex]
Which statement is true about the function shown in the graph?
Answer:
A
Step-by-step explanation:
The function that is shown in the graph is strictly decreasing
What is a function?"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."
The given function has a value of (- 5) at a certain point.
After that the function is decreased to a value of (- 10).
Therefore, we can conclude that the function is strictly decreasing.
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Solve the system of equations.
y=8x-6
y=5x+9
Answer:
x= 5 , y = 34
Step-by-step explanation:
8x-6=5x+9
3x-6=9
3x=15
x=5
-
8(x5) - 6 =
34
25(x5) +9 =
34
Answer:
x = 5 and y = 34
Step-by-step explanation:
I used substitution method and did this ;
8x - 6 = 5x + 9 .....put like terms together
8x - 5x = 9 + 6
3x = 15
x = 5
y = 8 (5) - 6
y = 40 - 6
y = 34
Joelle would like to tip her hairdresser 20%. If her haircut costs $38.00, which expression should she use to find the tip amount?
20%=1/5 so the tip amount is 1/5*($38.00)=$7.60
15.
.
X
Income Earned
Which statement below accurately represents the graph?
Click on the picture to enlarge
Dollars Earned
900
BOO
700
600
500
400
300
200
100
0 1 2 3 4 5 6 7 8 9
Hours Worked
a) $100 is earned for each hour worked
b) $200 earned for every 2 hours workedis
the unit rate
+
c) $500 is earned for every 8 hours worked 0 d) $300 is earned after working 4 hours
Answer:
C.
Step-by-step explanation:
❌Option A is incorrect
Rationale: from the graph, 1 hr on the x-axis doesn't correspond to $100 on the y-axis
❌Option B is incorrect
Rationale: from the graph, 2 hrs on the x-axis doesn't correspond to $200 on the y-axis. It can't also be the unit rate because unit rate would be the amount of dollars per 1 hr.
✅Option C is CORRECT
Rationale: from the graph, 8 hrs on the x-axis corresponds to $500 on the y-axis
❌Option D is incorrect
Rationale: from the graph, 4 hr on the x-axis doesn't correspond to $300 on the y-axis
Helpppppppppppppppp please y’all
[tex]\sf{3. \ \ Given : \dfrac{2}{3} - \dfrac{5}{4} + \dfrac{7}{2}}[/tex]
Let us solve the first two fractions : The LCM of 3 and 4 is 12
[tex]\sf{\implies \dfrac{4(2) - 5(3)}{12} + \dfrac{7}{2}}[/tex]
[tex]\sf{\implies \dfrac{8 - 15}{12} + \dfrac{7}{2}}[/tex]
[tex]\sf{\implies \dfrac{-7}{12} + \dfrac{7}{2}}[/tex]
LCM of 2 and 12 is 12
[tex]\sf{\implies \dfrac{-7 + 7(6) }{12}}[/tex]
[tex]\sf{\implies \dfrac{-7 + 42}{12}}[/tex]
[tex]\sf{\implies \dfrac{35}{12}}[/tex]
[tex]\sf{\implies 2 +\dfrac{11}{12}}[/tex]
[tex]\sf{\implies 2 \dfrac{11}{12}}[/tex]
---------------------------------------------------------------------------------------
[tex]\sf{4. \ \ Given : \dfrac{(2 - 7)^2 + 5}{3}}[/tex]
[tex]\sf{\implies \dfrac{(-5)^2 + 5}{3}}[/tex]
[tex]\sf{\implies \dfrac{25 + 5}{3}}[/tex]
[tex]\sf{\implies \dfrac{30}{3}}[/tex]
[tex]\sf{\implies 10}[/tex]
Answer:
2/3-5/4+7/2
Step-by-step explanation:
collect like terms. that is the positive and negative terms2/3+7/2-5/4lcm of 3 and 2 is 6 hence 2/3+7/2= 25/625/6-5/4....lcm of 6 and 4 is 12 hence 25/6-5/4=35/12 the answer in its mixed fraction is 2 and 11/12Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4). A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4). A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4). A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
Answer:
A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
Step-by-step explanation:
Ax + By = C, where A = 0, B is positive, and C is negative
By= C or y= C/B which is negative
Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero
---------------
A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).
no, the line is horizontal
A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).
no, the line is horizontal
A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).
no, the y-values should be negative
A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
yes, this is horizontal line below zero
Answer:
D
Step-by-step explanation:
What is the value of x? Also show work pls
Answer:
x = 34
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal if the lines parallel
2x+3 = 71
Subtract 3 from each side
2x+3-3 = 71-3
2x = 68
Divide by 2
2x/2 = 68/2
x = 34
While watching the Kentucky Derby horse races, you decide to guess who will win 1st, 2nd, and 3rd place. There are 17 horses in the race. What is the probability you choose all three places correctly
Answer:
1/17
Step-by-step explanation:
I he had even got 1 out of the 3 places the probability would be 3/17
But as he is guessing all three places it becomes 1/17
The probability of getting the 1st,2nd, and 3rd position will be 1/17.
What is the probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that while watching the Kentucky Derby horse races, you decide to guess who will win 1st, 2nd, and 3rd place. There are 17 horses in the race.
The probability is calculated by the formula,
Probability = Number of favorable outcomes / Number of sample
Number of favorable outcomes = 1
Number of samples = 17
Probability = Number of favorable outcomes / Number of sample
Probability = 1/17
Therefore, the probability of getting the 1st,2nd, and 3rd position will be 1/17.
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In the diagram of circle O shown to the right, PA and PB are tangent to circle O at points A and B, respectively. If mACB 266, then mAPB
Answer: 86 degrees
Step-by-step explanation:
Answer to the question
Answer:
7
Step-by-step explanation:
Step-by-step explanation:
AB//CD (Opposite sides of parallelogram are parallel)
Angle A + Angle B = 180 (Sum of interior angles=180)
179 + 3x - 20 = 180
3x - 20 = 180 - 179
3x - 20 = 1
3x = 1 + 20
3x = 21
x = 21/3
x = 7
Type the correct answer in each box.
Find the solution for this system of equations.
2x + 4y = 8
x = 3y − 6
Answer:
X=0
Y=2
Step-by-step explanation:
Just finished and i got it right
Item 23
What kind of angle is angle BCA ?
acute
obtuse
right
Answer:
BCA is obtuse
Step-by-step explanation:
BCA = 98 degrees
greater than 0 to less than 90 is acute angles
90 - right angle
greater than 90 to less than 180 is obtuse
98 is obtuse
Amber is solving the inequality X+61- 12 < 13 by graphing. Which equations should Amber graph?
O Y1 = +6 Y2 - 25
O y1= x+6y2 = 25
O Y1 = X+61.72 = 13
O Y1 = X+6.82 = 13
Therefore, Amber should graph the equation Y1 = X+61.
What is inequality?An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to). Inequalities are used to describe a range of possible values for a variable, rather than a single value. Inequalities can be solved by performing operations on both sides of the inequality symbol, just like equations. However, there are some important differences between solving equations and solving inequalities. For example, if we multiply or divide both sides of an inequality by a negative number, we need to reverse the direction of the inequality symbol.
Here,
To graph the inequality X+61- 12 < 13, we need to rearrange it to the form Y < MX + B, where Y is on the left-hand side and X is on the right-hand side. This gives:
Y < -X + 64
Now we can graph the line Y = -X + 64 and shade the region below it, since we want Y to be less than this expression.
Out of the equations given, Y1 = X+61 is the closest to the inequality we are trying to graph. However, the coefficients of X and Y are reversed, so we need to rearrange it to the desired form:
Y - X < 61
Y < X + 61
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What is the distance between (-5, -6) and (-3, -8)?
Patterson Planning Corp.,
You have been hired by Patterson Planning Corp., an events planning company that recently had a fire in which some of the accounting records were damaged.
In reviewing the fixed asset records, you find three depreciation schedules that are not labeled. They are listed in the following table. One of the assets has a depreciation rate of $4.30 per hour.
Answer:
Total depreciation now will be $51500 and the depreciation for you will be $5575
Step-by-step explanation:
Your welcome! :)
6. Which of the following is equivalent to the expression shown?
(x - 5)(x + 5)
(A) x2 – 10x - 25
(C) x2 – 25
x2 - 10x + 25
(D) x2 + 25
(x–52) (x+5)
x²-524
X2-10
I’m stuck on this help anyone ? :(
Answer:
its x^2 -25
Step-by-step explanation:
simply we know,
a^2-b^2=(a-b)(a+b)
How to solve and what is the answer for this question
Answer:
O DC = 65 and DE = 33.5
Step-by-step explanation:
DC is already given by AB
so DC is 65
DE would be BD split
DE is 33.5
Answer: O DC = 65 and DE = 33.5
Plz help solve this thanks
Answer:
y= -3/2
Step-by-step explanation:
........................
Help please need ASAP
Answer:
Step-by-step explanat
126
612
126
The pentagon shown could be reflected over which line to be carried onto itself?
Answer:
on the x axis because it is reflected there
Help please i need it
Answer:
0.51
Step-by-step explanation:
Please help, im stuck.
Answer:
4x^2 + 12x + 9
Step-by-step explanation:
(2x + 3)^2
it is in the form of (a + b)^2
(a + b)^2 = a^2 + 2*a*b + b^2
(2x + 3)^2
(2x)^2 + 2*2x*3 + (3)^2
4x^2 + 12x + 9
The linear function g is defined by g(x) = 4x.
a. Determine g(3).
b. Determine g(2).
c. Determine g(3) - g(2)
Answer:
the answer is D.
Step-by-step explanation:
well, the y-intercept for f(x) is at
as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.
for g(x), well an y-intercept is when x = 0, what is it from that table? well, is at 0,3, so when x = 0, y = 3, so no dice on that one.
c)
whenever an x-intercept occurs, y = 0, for f(x) that's at
what about the x-intercept for g(x)? well, let's check, when is y = 0? aha! at -9, 0, so when y = 0, x = -9, so no dice on that one either.
d)
well, what is the slope of g(x) anyway? well, let's pick two points off the table to get it hmmm the first two let's use,
and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.
well, 2/3 is larger than 1/3, so no dice.
b)
well, you already know.
Multiply x^2+2x+3 times 4x^2-2x+1
Answer:
4x^4 + 6x^3 + 9x^2 − 4x + 3
Step-by-step explanation:
Simplify the expression. 4x^4 + 6x^3 + 9x^2 − 4x + 3
Step-by-step explanation:
Answer:
answer for this solution is 4x^4+6x^3+9x^2-4x+3
brainlest! to first one pls help mehh
Answer:
A
Step-by-step explanation:
Answer:
option a and b
Step-by-step explanation:
peanuts=1/4 cup ratio=1:4
raisins=1/2 cup ratio=1:2
chocolate chips=3/4 cup ration=3:4
granola =1 cup ration=1:1
a. ratio of cop of rasins to cup of peanuts=2:1 or 2/1
1/2 = 1/4=2/1
do cross multiplication
4*1=2*1=2/1
4/2=2/
2/1=2/1
2:1=2:1 this is satisfied
b.ratio of cup of granola to cup of peanuts=1:4 or 1/4
1/1=1/4
do crss multiplication
1*1/4*1=1/4
1/4=1/4
1:4=1:4 this is satisfied as both are equal
c.the ratio of cup of chocolate chips to cup of raisins=3:1 or 3/1
3/4=1/2
do cross multiplication
3*2=4*1=3/1
6/4=3/1
6:4=3:1 this is not satisfied as they are different.
d.the ratio of cup of raisins to cup of granola=1:3 or 1/3
1/2=1/1
do cross multiplication
1*1=2*1=1/3
1/2=1/3
1:2=1:3 this is not satisfied as they are different.
e. the ratio of cup of granola to cup of chocolate chips =4:3 or 4/3
1/1=3/4
do cross multiplication
3*1=4*1=4/3
3/4=4/3
3:4=4:3 this is not satisfied as they are not equal
therefore ur answer is option a and b.
Write image as a complex number. Question 6 options: A) 3 + i B) 3 – i C) –3 + i D) –3 – i
Answer:
that's right B) 3 - √3i
Step-by-step explanation:
(12 - √-48) / 4 =
12/4 - √-48 /4
= 3 - √(-48/16)
= 3 - √-3
= 3 - √ 3i
[tex]\\ \rm\Rrightarrow \dfrac{12-\sqrt{-48}}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{12}{4}-\dfrac{\sqrt{48}i}{4}[/tex]
[tex]\\ \rm\Rrightarrow 3-4\sqrt{3}i/4[/tex]
[tex]\\ \rm\Rrightarrow 3-\sqrt{3}i[/tex]
How to solve and answer to the question
Answer:
7
Step-by-step explanation:
AB//CD (Opposite sides of parallelogram are parallel)
Angle A + Angle B = 180 (Sum of interior angles=180)
138 + 7x - 7 = 180
7x - 7 = 180 - 138
7x = 42 + 7
7x = 49
x = 49/7
x = 7
A file that is 226 megabytes is being downloaded if the download is 12.&% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
Answer:
28.7
Step-by-step explanation:
12.7% = 0.127
226 * 0.127 = 28.702
Rounded
28.7
write a quadratic function f whose zeros are 2 and -6
Answer:
hope this will help u
Step-by-step explanation:
⇒ Given zeros are α=2 and β=−6.
⇒ Sum of zeros =α+β=2+(−6)=−4
⇒ Product of zeros =α×β=2×(−6)=−12
⇒ Quadratic polynomial =x
2
−(α+β)x+(α×β)
⇒ Quadratic polynomial =x
2
−(−4)x+(−12)
∴ Quadratic polynomial =x
2
+4x−12
The quadratic function having 2 and -6 as zeros is f(x) = x² + 4x - 12.
What is the quadratic function with roots 2 and -6?Given the parameters:
Zeros of the function: 2 and -6.
To find the quadratic function f(x) with zeros at 2 and -6, first set up the equation:
x = 2 and x = -6
These are the real solutions to the quadratic equation:
This means that; ( x - 2 ) and ( x + 6 ) are the factors of the quadratic equation:
Hence:
( x - 2 )( x + 6 ) = 0
Expand using distributive property:
x( x + 6 ) - 2(x + 6 ) = 0
x² + 6x - 2x - 12 = 0
Collect and add like terms:
x² + 4x - 12 = 0
Therefore, the function will be:
f(x) = x² + 4x - 12.
The quadratic function is f(x) = x² + 4x - 12.
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