Answer:
30 Percent
Step-by-step explanation:
Use the percent change formula.
Let StartFraction cosine (2 x) Over cosine (x) + sine (x) EndFraction = 0 where 0° ≤ x ≤ 180°. What are the possible values for x?
a- 45 only
b- 135 only
c- 45 or 225
d- 135 or 315
*NEED HELP ASAP
Answer:
The correct option is;
a- 45° only
Step-by-step explanation:
The given equation can be presented as follows;
[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]
We have that cos(2·x) = cos²(x) - sin²(x)
Also, we have, by the difference of two squares, the following relation;
cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))
Therefore, the given equation can be written as follows;
[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]
Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;
[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]
From cos(x) - sin(x) = 0, we have;
Adding sin(x) to both sides of the equation
cos(x) - sin(x) + sin(x) = 0 + sin(x)
cos(x) = sin(x)
Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal
∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°
Answer:
A. 45 only
Step-by-step explanation:
EDGE 2020
If the average grade of an English class rose from 70 to 80 what is the approximate percent increase
Answer:
10
Step-by-step explanation:
PLEASE HELP QUICK it if for Geometry might award a Brainliest
Answer:
SAS
Step-by-step explanation:
the reason that it is a sas angle is because C is in the middle and the two triangles stop at an angle to to this the angles are congruent and therefore similar
Describe the transformation of f(x) = x2 represented by g(x)=(x-1)2 + 3, then graph the function
shift right ?______
Shift left ?______
Stretch factor?_____
The transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.
What do you mean by transformation of a graph ?
The modification of an existing graph or graphed equation to create a different version of the following graph is known as transformation.
The functions given are :
f(x) = x²
and
g(x) = (x - 1)² + 3
Now , we know that , the horizontal shift depends on the value of h. The horizontal shift is described as:
g(x) = f (x + h)
Then , the graph is shifted to left by h units.
and
g(x) = f (x - h)
Then , the graph is shifted to right by h units.
If we compare f(x) with g(x) , their is a difference of -1 , it meant shift is right by 1 units.
Now , we know that , the vertical shift depends on the value of k. The vertical shift is described as:
g(x) = f(x) + k
Then , the graph is shifted up by k units.
and
g(x) = f(x) - k
Then , the graph is shifted down by k units.
Here , if we compare f(x) with g(x) there is addition of 3 in g(x) , this meant the graph is shifted upward by 3 units.
The graph of the function is attached below. Here , both of the functions are graphed.
Therefore , the transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.
Learn more about transformation of a graph here :
https://brainly.com/question/28354259
#SPJ2
-2 1/2 divided by 3 1/2 ?
Step-by-step explanation:
[tex] - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} [/tex]
What are the solutions to the quadratic equation 4(x + 2)2 = 36
Answer:
x=5/2
Step-by-step explanation:
Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.
Answer:
2 books in one month
Step-by-step explanation:
Answer:
2 books per month .
Step-by-step explanation :
6 divided by 3 = 2
So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )
Hope that helped :)
Can someone please help me?
Marco climbed 2 feet down a ladder. He then climbed down
4 more feet. Write a subtraction equation and an equivalent
addition equation to represent this situation. What was the total
change in Marco’s elevation?
Answer:
well (-2) -4=-6
Step-by-step explanation:
the the elevation he changed in is 6ft goign down
The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Marco climbed 2 feet down a ladder. He then climbed down 4 more feet.
The equivalent addition equation to represent this situation will be given as,
⇒ (-2) + (-4)
⇒ - 2 - 4
⇒ - 6
The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys
four more attires. If she has 12 attires now, how many attires did Clara had initially?
Answer:
clara had 16 but she gave half that leaves us with 8 + 4 gives u 12
x
2
+ 4 = 12 ; 16 attires
Answer:
16
Step-by-step explanation:
a:2+4 =12
a:2=12-4
a:2=8
a=8 ×2
a=16 dresses
Step-by-step explanation:
brainliest would be super appreciated
what is 1+123+9x0+1728x456
Answer:
133+1728x^456
Step-by-step explanation:
5. Expand.
(a) 2(3x - 5y + 2)
(b)-3(4x + 5 – 2x2)
(c) 8(3a – 50+ 65)
(d) -4-3g + 2h- 7)
(e) 5041 - v + 2r2)
(f) -5(-x-y + 2)
(g) - 7(x2 - 2y2 + x)
(h) 12(a + 2b - 60 + 2)
Can someone explain how to expand these expressions
Answer:
A. 6x-10y+4
B.6x²-12x-15
C.24a+120
D.12g-8h+28
The value of y varies directly with x. When y = 85, x = 14. What is the value of y when x is 112?
Answer:
y = 679.952
Step-by-step explanation:
It is given that, the value of y varies directly with x.
y₁ = 85, x₁ = 14
[tex]y\propto x\\\\y=kx\\\\k=\dfrac{y}{x}\\\\k=\dfrac{85}{14}\\\\k=6.071[/tex]
We need to find the value of y when x is 112.
[tex]y=k\times x\\\\=6.071\times 112\\\\y=679.952[/tex]
So, the value of y is 679.952 when x is 112.
HURRY I NEED HELP SOON
Zola and her friends are going bowling. The bowling alley charges each person a $14 fee to rent shoes, plus $4.50 per game.
Which equation represents the cost, y, for each friend to go bowling in terms of the number of games played, x?
a. y=4.50x +14
b. y= -14x - 4.50
c. y= -4.50x - 14
d. y= 14x + 4.50
Answer:
i think a
Step-by-step explanation:
becuade 4.50 per game(x) and the additional fee would be 14
If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO? 5 units 6 units 8 units 10 units
1. ABCD is shifted some units down, and then some othe units left.
2. The figure is just moved, not reflected, not diluted. So the distances are preserved
3. ABCD is translated to OLMN mean that AB has been translated to OL, so length of LO=OL=AB= 6 units
The length of LO is as the length of AB which is 6 units.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
According to the given information, the quadrilateral ABCD is translated down and left to form the quadrilateral OLMN.
As the quadrilateral is just shifted first down and then left but not changed in the dimensions thus, the dimensions of the new quadrilateral OLMN will also be the same as ABCD.
length of LO=OL=AB= 6 units
Hence, the length of LO is as the length of AB which is 6 units.
Learn more about quadrilaterals here:
brainly.com/question/6321910
#SPJ6
The complete question is;
Quadrilateral ABCD is translated down and left to form quadrilateral OLMN. If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO? 5 units 6 units 8 units 10 units
A line passes through the point (4, -6) and has a slope of -3/4. Which is the equation of the line
Answer:
A: y=-3/4x -3
Step-by-step explanation:
Don’t know what the answer is
Answer:
210
Step-by-step explanation:
if you divide 126 by 3 you get 42 than multiply by 5 and you get 210
Please help image below I’m struggling
Answer:
-0
Step-by-step explanation:
Answer:
-1 0 1 2
Its just subtraction
please help will give brainlyisttt
Answer:
Either a or c
Step-by-step explanation:
Sorry I'm not entirely sure.
Answer:
Well i do not think you will be able to explain a drawing but here it goes.
Step-by-step explanation:
A. You will draw the model and color it halfway
B. You will draw a model and color it about done but - - away from the end
C.You will draw a model and color it about - - in.
D.You will draw a model and color it about - - in.
E.You will draw a model and color it about 20% more than A but make sure its a little more like a inch or so.
Which table represents a linear function?
ху
х
y
1
7
2
2
11
4
3
12
6
12
4
13
8
15
ху
х
у
N X
7
1
7
4
9
2.
9
6
11
3
12
8
13
4
15
The second table at the bottom represents a function because the slope for consecutive pairs of values is the same as 2, all through. The answer is: {(2, 7), (4, 9), (6, 11), (8, 13)}.
How to Identify a Table that Represents a Linear FunctionA table that represents a linear function will have the same slope across all pairs of values.Change in y / change in x will remain the same between consecutive pairs of values.Thus, the second table at the bottom represents a function because the slope for consecutive pairs of values is the same as 2, all through. The answer is: {(2, 7), (4, 9), (6, 11), (8, 13)}.
Learn more about linear function on:
https://brainly.com/question/15602982
f(-2) = 4x + 10
What is the value
Answer:
f = -2x -5, which is false
Step-by-step explanation:
combine like terms, f = -2x -5
-2f = 4x +10
Answer:
The Answer would be -3
Step-by-step explanation:
(-2)=4x+10
-4x=10+2
-4x=12
-3
The admission fee to an amusement park is $27. It costs an additional d dollars to rend a locker to hold your belongings. The total cost for 10 people to enter the amusement park and each rent a locker is $330. How much does it cost for one person to rent a locker?
Answer:
$33
Step-by-step explanation:
If each locker costs $6, 33x6=330 (the 33 is from 27+6)
Theorems about roots of polynomial equations!! I need help!!
9514 1404 393
Answer:
B (correctly marked)
1/3, 1/2, 4
Step-by-step explanation:
The rational root theorem tells you the rational roots will be of the form:
±(divisor of constant)/(divisor of leading coefficient)
Here, that means they will be of the form ±{1, 2, 4}/{1, 2, 3, 6}.
Right away, you can eliminate choices A and C because there cannot be 9 in the numerator, and the number of possibilities goes beyond just 1, 2, and 4.
Possible rational roots are ...
±1, ±2, ±4, ±1/2, ±1/3, ±1/6, ±2/3, ±4/3
__
I like a graphing calculator for finding the roots of higher-degree polynomials. A graph of this one shows roots to be 1/3, 1/2, and 4.
_____
Descartes' rule of signs tells you there are 0 negative real roots, and 1 or 3 positive real roots. The ratio of the first two coefficients suggests that one of the roots may be relatively large, so it might work to try 4.
((6·4 -29)·4 +21)·4 -4 = (-20 +21)·4 -4 = 0
So, x=4 is a root. Synthetic division (2nd attachment) shows the remaining quadratic factor to be 6x^2 -5x +1. Factoring this*, we have ...
6x^3 -29x^2 +21x -4 = (x -4)(6x^2 -5x +1) = (x -4)(3x -1)(2x -1)
The roots associated with the quadratic factor are 1/3 and 1/2.
The real roots are 1/3, 1/2, and 4.
_____
* To factor ax^2 +bx +c, you look for factors of the product ac that have a sum of b. Here, you're looking for factors of 6·1 = 6 that have a sum of -5.
6 = (-1)(-6) = (-2)(-3) . . . sums are -7 and -5
The numbers we're looking for are -2 and -3. Then the factorization is (6x -2)(6x-3)/6 = (3x -1)(2x -1).
Note that we have identified 'p' and 'q' as the factors of 'ac' that total to 'b'. The factorization is then (ax+p)(ax+q)/a. Here, both factors end up with coefficients of x that are not unity. That is not always the case.
There are other ways to make use of 'p' and 'q'. You can also rewrite the quadratic as ax^2 +px +qx +c, and factor by grouping.
The probability of getting 3 is the half of getting 6. Is Victoria correct?
yes because 6÷2 is 3 and that gets you the answer
In the diagram, AB= DC and AC= DB. Why does DBC = ACB?
Answer:
AB = DC Given
AC = DB Given
BC = BC Reflexive property
△ACB = △DBC SSS
m∠DBC = m∠ACB CPCTC
Step-by-step explanation:
Reflexive property basically means that something is congruent to itself
SSS means that if all 3 sides of 2 triangles are congruent, the triangles are congruent
CPCTC means C.orresponding P.arts of C.ongruent T.riangles are C.ongruent
meaning because the triangles are congruent, all the corresponding sides and angles are also congruent
ху
0
3
1 1
2 -1
Using the table, what is the value for the RANGE when the DOMAIN is 2?
es
-1
B)
o
C)
1
D)
2
Answer:
i think is D t but i think
Step-by-step explanation:
Answer is 0 probably B)
Step-by-step explanation:
HELP WITH THESE TWO ASAP
What is 6.5% of 39.99?
Andre and Diego were each trying to solve `2x+6=3x-8`. Describe the first step they each make to the equation.
The result of Andre's first step was `-x+6=-8`.
Glven:
f(x) = -7x + 10
Find: f(-4) + 1
Answer:
f(-4) + 1 = 39
Step-by-step explanation:
Given f(x) = -7x + 10
f(-4) + 1 = (-7(-4) + 10) + 1 = (28 + 10) + 1 = 38 + 1 = 39.