Answers
Answer:
Step-by-step explanation:
Q. 2
- 4x + 2y = 16
y = 2x + 8
( - 3, 2 )
Q. 3
y = 2x + 3
Not proportional
Related Questions
i need help with 4, 5, and 6
Answers
Answer:
To find the slope you do rise/run and the slope for 4 is 6/5 the slope for 5 is ZERO slope or 0/5 I know because it goes 0 times up and 5 times to the right. And for 6 is UNDEFINED slope or 6/0 because it goes 6 times up and 0 time to the sides
Step-by-step explanation:
Answer:
4. 6/5 5.zero 6. undefined
Step-by-step explanation:
so you do y1-y2/x1-x2
4-(-2)/2-(-3)
6/5
5. because it doesn't go up or down
6. because the x doesn't change
Prove that sin(3x)/sin(x)·cos(x) = 4cos(x)-sec(x)
Answers
Here is a huge hint:
sin(3x) = 3 sin (x) - 4(sin x)^3
sec (x) = 1/sin(x)
Take it from here.
The expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)} is proved below.
What is a mathematical equation and expression?In mathematics, 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.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the equation -
sin(3x)/(sin(x)·cos(x)) = 4cos(x) - sec(x)
We have the following equation -
{sin(3x)/(sin(x)·cos(x)} = 4cos(x) - sec(x)
Now, we know -
sin3x = 3 sin x - 4 sin³x
So, we can write -
(3 sin x - 4 sin³x)/(sin(x)·cos(x) = 4cos(x) - sec(x)
sin(x) (3 - 4sin²x) / sin(x) cos(x) = 4cos(x) - sec(x)
(3 - 4sin²x)/cos(x) = 4cos(x) - sec(x)
(3 - 4sin²x) = cos(x){4 cos(x) - 1/cos(x)}
(3 - 4sin²x) = 4cos²x - 1
3 + 1 = 4cos²x + 4sin²x
4 = 4(cos²x + 4sin²x)
4 = 4
1 = 1
LHS = RHS
Therefore, it is proved that the expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)}.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
What is the result when 9x3 + 9x2 + 17x + 10 is divided by 3x + 2?
Answers
Answer:
61x over 3
=16? on a graph
Step-by-step explanation:
Write a series of rigid motions that transform pentagon ABCDE to pentagon A′B′C′D′E′
Answers
Answer:
We need the following three rigid motions:
i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.
Step-by-step explanation:
We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':
i) Reflection around y-axis:
[tex](x',y') = (-x,y)[/tex] (Eq. 1)
ii) Translation three units in the -y direction:
[tex](x'',y'') = (x', y'-3)[/tex] (Eq. 2)
iii) Translation four units in the -x direction:
[tex](x''',y''') = (x''-4, y'')[/tex] (Eq. 3)
We proceed to proof the effectiveness of operations defined above by testing point D:
1) [tex]D(x,y) = (-1, 4)[/tex] Given.
2) [tex](x',y') = (1,4)[/tex] By (Eq. 1)
3) [tex](x'',y'') = (1, 1)[/tex] By (Eq. 2)
4) [tex]D'(x,y) = (-3,1)[/tex] By (Eq. 3)/Result
Which best explains why all equilateral triangles are similar?
all equilateral triangle’s can be mapped onto each other using dilations
all equilateral triangle can be mapped onto each other using rigid transformations
all equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations
all equilateral triangles are congruent and therefore similar with side links and a 1:1 ratio
Answers
Answer:
D
Step-by-step explanation:
I hope this helps you out!
Answer:
all equilateral triangle’s can be mapped onto each other using dilations.
Step-by-step explanation:
Because you can dilate or increase the size and scale the triangle about a certain point so if you do it correctly, this can be done with just a dilation.
Also an equilateral triangle is defined as a triangle where all the sides are congruent in length. This does not mean that all equilateral triangles are congruent (Do not get confused with D) to each other since size is the undefined variable so all equilateral triangles are proportional which means that they always have a ratio between them depending on the scale factor.
For example, let's say I have an equilateral triangle with a side length of 2, this means that all the sides must have a length of 2, but I can also have an equilateral triangle with a side length of 3, which means that all the sides will have that length for that triangle.
2 ≠ 3, but there is always a conversion factor between the side lengths. In this case a scale factor of 3/2 from the triangle with a side length of 2 to the one with a side length of 3. And a scale factor of 2/3 going from the triangle with a side length of 3 to the triangle with a side length of 2. Because all the sides are congruent, the angles must all be 60° degrees because individual side proportions defined by trigonometry are based on angles and sides. Thus, the angles are also affected due to the change in ratio.
If you are given the graph of a line and are asked to write the equation of a perpendicular line, does it matter what the y-intercept will be for the equation you write? Why or why not?
Answers
A table showing Pounds, Price per Pound, and Total Price. The first row shows Granola, with the entries, 3, 3, and 3 times 3. The second row shows Raisins, with the entries 0.75, 2, and 0.75 times 2. The third row shows Mixture, with the entries 3 plus 0.75, x, and left-parenthesis 3 plus 0.75 right-parenthesis x. Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 per pound. What equation can you use to find the price per pound of the trail mix? 3(3)(0.75)(2) = (3 + 0.75)x 3(3) + 0.75(2) = (3 + 0.75)x 3(3)(0.75)(2) = (3 + 0.75) + x 3(3) + 0.75(2) = (3 + 0.75) + x
Answers
Answer:
B
Step-by-step explanation:
Hope this help
Answer: B
B.) 3(3) + 0.75(2) = (3 + 0.75)x
Step-by-step explanation: i hope this helps :)
У
y = [?]
Enter the number that belongs in
the green box
Enter
Answers
Answer:
[tex]y = {60}^{o} [/tex]
Step-by-step explanation:
From the markings in the diagram, both triangles are equilateral and each angle in an equilateral triangle is 60°
The premium membership at a health club is $40 per month. This is
$15 more than the cost of a standard membership. What is the cost of a standard
membership? Do not type the $ in your answer.
Quick I need help!!!!! Plzzz help meeeee!!??!!!??!?
Answers
Answer: 25
Step-by-step explanation:
A holiday costs £1900. Work out the
price after a 9% discount.
Answers
Answer:
$1729
Step-by-step explanation:
[tex]\frac{100-9}{100} * 1900[/tex]
Answer:
1729
Step-by-step explanation:
1900 divided by 100 is 19
1% equals 19
1 times 9 equals 9
19 times 9 equals 171
171 = 9%
171 - 1900 = 1729
price after a 9% discount is 1729
Selena is graphing the inequality x <-2. She begins by drawing a number line and placing an open circle at -2
-7 -6 -5 -4 -3 -2 -
0
1
2 3
Which could be Selena's next step?
O shading the number line to the left of the open circle
O shading the number line to the right of the open circle
O shading the number line to the right and left of the open circle
O shading in the open circle
Look at the picture
Answers
Answer:
shade the number line to the left of the open circle
Step-by-step explanation:
x is less than - 2, so it could be any number lower than -2. for example, -3, -4, -5, etc.
Answer:
A. shade the number line to the left of the open circle
Step-by-step explanation:
What is the value of 5k^-4 if k = -2?
Answers
Answer:
-0.3125
Step-by-step explanation:
5k^-4 when k = -2
~Substitute
5(-2)^-4
~Take the exponent
5(-0.0625)
~Multiply
-0.3125
Best of Luck
Tell me 3 points that would be on the graph of y = 2x + 3
Answers
Answer:
-1.5,0, 0,3 and -4,-5
Step-by-step explanation:
What is the solution to the equation x - 5 = 15?
Answers
Answer:
x=20
Step-by-step explanation:
x - 5 = 15
x +5 = +5
x = 20
Answer:
20
Step-by-step explanation:
if u go on your calculator there is a math button click it and go to numrical equations and type it out the first block is the numbers and stuff in front of the equal sign and the second block is after it
which equation is equivalent to 3/2x -4y+1=0
Answers
Answer:
the fourth option
Step-by-step explanation:
i googled it
Answer:the 2nd to the very bottom one
Step-by-step explanation:
Don’t wanna tell
In △XYZ, suppose XY < XZ. Which inequality relates two angles in △XYZ?
Answers
Answer:
m∠Z < m∠Y
Step-by-step explanation:
m∠Z < m∠Y
The inequality that relates the two angles in triangle XYZ is m∠Z < m∠Y
From the question, we have:
Triangle XYZSide length XY is less than side length XZThis means that, the angle at point Y is greater than the angle at point Z
i.e. m∠Y > m∠Z
Rewrite the inequality as:
m∠Z < m∠Y
Hence, the inequality that relates the two angles in triangle XYZ is m∠Z < m∠Y
Read more about angles at:
https://brainly.com/question/14362353
Help me solve this problem please
Answers
Answer:
b
Step-by-step explanation:
x² = 30² +21² -2(30)(21) Cos 123°
Answers
Answer:
x ≈ 44.69
Step-by-step explanation:
x² = 30² +21² -2(30)(21)Cos123°
x² = 900 + 411 - 1260cos123°
x² = 1311 - 1260cos123²
~Take square root of both sides
x = √1997.245184111
x ≈ 44.69
Best of Luck!
Brenda and Shayna are selling flower bulbs for a school fundraiser. Customers can
buy bags of windflower bulbs and packages of crocus bulbs. Brenda sold 5 bags of
windflower bulbs and 5 packages of crocus bulbs for a total of $145. Shayna sold 3
bags of windflower bulbs and 5 packages of crocus bulbs for a total of $121. Find
the cost of one bag of windflower bulbs.
Answers
Given :
Customers can buy bags of windflower bulbs and packages of crocus bulbs. Brenda sold 5 bags of windflower bulbs and 5 packages of crocus bulbs for a total of $145.
Shayna sold 3 bags of windflower bulbs and 5 packages of crocus bulbs for a total of $121.
To Find :
The cost of one bag of windflower bulbs.
Solution :
Let, cost of one bag of windflower bulbs and crocus bulbs is x and y.
Converting given statement to mathematical equation, we get :
5x + 5y = 145
x + y = 29 ...1)
and
3x + 5y = 121 ...2)
Solving equation 1 and 2, we get :
3( 29 - y ) + 5y = 121
87 - 3y + 5y = 121
2y = 34
y = 17
and x = 12
Therefore, cost of one bag of windflower bulbs is $12 .
Hence, this is the required solution.
Which can be used to expand the expression below?
5 (3 x minus StartFraction 6 over 7 EndFraction)
associative property
commutative property
distributive property
subtracting
Answers
Answer:
the 3ed one distributive property
Step-by-step explanation:
are -1/2 and 2 perpendicular
Answers
Answer:
Well, if -1/2 and 2 are slopes of 2 lines, then yes, they are perpendicular.
Step-by-step explanation:
The slope of a perpendicular line is the opposite reciprocal of another line.
Normal line's slope: x
Perpendicular line's slope: -1/x
Find the greatest and least values of arg z if (z +2i = 1)
Answers
Answer:
1 is least 2 is greatest
Step-by-step explanation:
WHATS 3 + 2??? I CANT FIGURE IT OUT. 50 POINTS FOR YOU
Answers
Answer:
5
Step-by-step explanation:
Answer:
3+2 is 5
Step-by-step explanation:
Thank you for the points! :)
From a hot air balloon 2,500ft above the ground you see a clearing whose angle of depression is at 25 degrees. What is the horizontal distance form the clearing to the nearest feet
Answers
9514 1404 393
Answer:
5361 feet
Step-by-step explanation:
The tangent of the angle is the ratio of vertical distance to horizontal.
tan(25°) = (vertical distance)/(horizontal distance)
horizontal distance = (2500 ft)/tan(25°) ≈ 5361 feet
The next two terms of the sequence 4, 7, 10, 13 are *
Answers
Answer:
4, 7, 10, 13, 16, 19
Step-by-step explanation:
The sequence is going up by 3 simply keep adding 3.
PLEASE HELP ASAP!!!!!! i’ll mark brainlest
Answers
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A kilogram is the same as 1,000 grams.
HTH :)
Can y’all help me please like bro omg idk
Answers
5: quadratic
6: exponential
7: inverse variation
Answer:
#4. linear
#5. quadratic
#6. exponential
#7. inverse
solve for X
3x - 6 = 30
Answers
Answer:
The answer is x=12
Step-by-step explanation:
3x - 6 = 30
3x-6+6=30+6
3x=36
To find x divide both sides by 3.
3x/3=36/3
x=12
What is the value of K?
k=
m
k
N
1
M
Answers
Answer:
1
Step-by-step explanation:
k=1
the value of k is 1
hope this helps ya!
Find the slope of the line that passes through (5,2) and (4,-1)
Answers
Answer:
3
Step-by-step explanation:
2 - -1= 3
5-4 = 1
3/1 = 3