What is the value of x?
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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
TIME REMAINING
01:58:43
Which statement is a correct interpretation of the vertical line test?
If only one vertical line intersects the graph at exactly one point, the graph represents a function
If only one vertical line intersects the graph at exactly one point, the graph does not represent a function
If any vertical line can intersect the graph at more than one point, the graph represents a function
If any vertical line can intersect the graph at more than one point, the graph does not represent a function
Answer:
If only one vertical line intersects the graph at exactly one point, the graph represents a function.
what is 1395^2 plz help
Round to the nearest tenth if necessary. 60% of 68 is what number?..
Answer:
40.8
Step-by-step explanation:
Two brothers bought together 10 books. One brother bought four books. How
many books did the other brother buy? Create an equation and solve.
Answer:
The other brother bought 6
Step-by-step explanation:
10 books in total
4 books bought by one brother
10 - 4 = 6
Answer:
2b+4b=10b the other brother bought 6 books.
Since we already know how many the other brother bought, we don't need to find that information.
Step-by-step explanation:
2b+4b=10b
combine like terms and subtract.
6b=10b
=4b
(hope this is correct.)
For every 4 miles that Pedro runs he walks 3 miles. Tell whether each statement is true of false for questions 2-4. The ratio of miles walked to miles run is 4:3?
Answer:
false
Step-by-step explanation:
4 ran : 3 walked
Please Quick Will give Brainliest
What is the equation of the line that passes through (-3, -1) and has a slope of ? Put your answer in slope-intercept form.
y = x +
y = x -
y = -x -
Answer:
y=3/5x -4/5
Step-by-step explanation:
3/5 is the slope so you do 3/5x
-4/5 is negative because the line passes two negative coordinates
Hope this helps!
WILL GIVE BRAINLIEST! That is the distance, including the variable, for the plane after t hours? Note: This is what you would have in the table where the purple C is located?
Answer:
1hour is 615 miles per hour
Step-by-step explanation:
the larger nail is a dilations of the smaller nail
In art class, Tico is copying a detail from a painting. He paints slowly for the first few days, but manages to increase his rate after that. The graph shows his progress after he increased his rate. How many square centimeters of his painting will he finish in 4 days after the increase in rate?
(8,400) (3,175)
please answer :))
Answer:
84:31
Step-by-step explanation:
im really confused
Answer:
C. 10.5
Step-by-step explanation:
2=3
3=4.5
4=6.0
5=7.5
6=9
7=10.5
Answer:
the answer is 10.5
Step-by-step explanation:
if you keep going with the relationship every 1 place value up is another 1.5 added so if you go to 7 you get 10.5
Calculate the slope between the points: (4, 5) and (7, 9)
Answer:
m=4/3
Step-by-step explanation:
the slope is equal to 4/3
The slope between the points: (4, 5) and (7, 9) is 4/3.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Points (4, 5) and (7, 9)
so, the slope is
slope = (9-5)/ (7-4)
slope = 4 /3
slope = 1.333
Hence, the slope is 4/3.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
Cynthia’s mom gave her $20.00 to spend at her friend’s birthday party on Friday night. Write an inequality that represents the number of games, g, Cynthia can bowl to remain within her budget.
Answer:
will or will not
Step-by-step explanation:
The inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -
gx ≤ 20
What is the general equation of a Straight line inequality? What is inequality? What are strict and slack inequalities.The general equation of a straight line is -
[y] > [m]x + [c]
[y] < [m]x + [c]
[y] ≥ [m]x + [c]
[y] ≤ [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Strict inequalities are those inequalities which use either > or < to compare expressions. Example : 2x + 4 > 5
Slack inequalities are those inequalities which use either ≤ or ≥ to compare expressions. Example : 2x + 4 ≥ 5
We have Cynthia’s mom who gave her $20.00 to spend at her friend’s birthday party on Friday night.
Assume that a single game costs $x. Then, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is-
gx ≤ 20
Therefore, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -
gx ≤ 20
To solve more questions on inequalities, visit the link below-
https://brainly.com/question/14875221
#SPJ2
What is the slope of the line that passes through the points (−3, 12) and (5,−14)?
Answer:
-13/4
Step-by-step explanation:
slope formula: y2-y1/x2-x1
-14-12/5-(-3)
-26/8
= -13/4
Hope this helps! :)
Which is the sum of -4 and its additive inverse?
Answer:
-4 +4 =0
Step-by-step explanation:
The sum of a number and its' additive inverse is 0
The additive inverse of -4 is 4
-4 +4 =0
Choose the correct Triangle Congruence Theorem
Answer:
ASA
Step-by-step explanation:
Answer:
AAS
Step-by-step explanation:
The triangles have two congruent angles and one congruent side. This means they are congruent through the AAS theorem. The reason it is not the ASA theorem is that the side is not included, which means it is not in-between the congruent angles.
Find the slope of the table
Answer:
y= -.5x+2
Step-by-step explanation:
what is the distance between the points with coordinates (-5,5) and (5,-5)? express your answer in simplest radical form
Answer:
10 spaces in each direction
Step-by-step explanation:
5
!
-5--------------------!-------------------5
!
!
5
Two forces of 19.8 pounds and 36.5 pounds act on a body with an angle of 61.4 degrees between them.
Choose the correct approximation for the magnitude of the resultant vector.
Based on your question Two forces of 19.8 pounds and 36.5 pounds act on a body with an angle of 61.4 degrees between them.
After setting up the vectors on the plane and doing the required math
The answer is 49.2 pounds
C. 49.2
correct on edge assignment
2w=-10 what does w equal to
Answer:
2w = -10
-10 / 2 = -5
Answer: -5
Step-by-step explanation:
Answer:
5 or -5
Step-by-step explanation:
I can't tell if the 10 is negative or not but if it is the answer is -5
If it's not the answer is 5.
10 divided by 2 is 5.
-10 divided by 2 is -5.
What is the answer to this x + y = 16
x + y = 16
y = -3x
x=-8
y=24
-8+24=16
16=16
-3(-8)=24
24=24
guys if I don't finish this imma get beat please help
Answer:
The answer is b.) hope this helps!!
Step-by-step explanation:
if you only look at H and H', you can see H' is being translated(slid) down the Y axis and since it is sliding down, it is -4, giving you (x, y-4)
What is the value of x in the equation One-third x minus two-thirds = negative 18? –56 –52 52 56 Need answer ASAP!!!! Being Timed
Answer:
Step-by-step explanation:
fhv
Which method can you use to prove that the triangles are congruent
Answer:
HL
Step-by-step explanation:
It's a right triangle.
Answer: HL
Step-by-step explanation: because they are right triangles
Can someone please help me on 9 and 10 ty!!
Answer:
9. slope = 7-2/7-1
= 5/6
10. slope = 8- -2/5-4
= 10/1 = 10
3(6a);for a=2
5d(4); for r = -3
(5r)(-2); for r = -3
Can someone help meh
Answer:
1.36
2.-60
3.30
hope this helps
Which statements are true about the enlargement of triangle ABC to triangle A’B’C’? Check all that apply.
BC < B’C’
A’B’ < AB
B < B’
=
The scale factor for this dilation is less than 1.
C ≅ C’
Answer:
A, D, F
Step-by-step explanation:
Answer:
A
D
F
Step-by-step explanation:
I got it right on my assignment
2x+7=3x+4
step by step
Answer:
3=x or x=3
Step-by-step explanation:
2x+7=3x+4
-2x+2x7=-2x+3x+4
7=x+4
7-4=x+4-4
3=x or x=3
4x+5+4x+5+4x+5+4x+5+4x+5 solve for x
Answer:
3
Step-by-step explanation: