Answer:
-3x+3
Step-by-step explanation:
The set of all the inputs of a function is called the
Answer:
the set of all possible input values for a function is called the domain of the function, and the set of all output values for a function is called the range. ... The y variable is the dependent variable and represents the corresponding output value f (x) in the rang
I need help with finding the answer to a) and b). Thank you!
Answer:
[tex]\displaystyle \sin\Big(\frac{x}{2}\Big) = \frac{7\sqrt{58} }{ 58 }[/tex]
[tex]\displaystyle \cos\Big(\frac{x}{2}\Big)=-\frac{3 \sqrt{58}}{58}[/tex]
[tex]\displaystyle \tan\Big(\frac{x}{2}\Big)=-\frac{7}{3}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \sin(x)=-\frac{21}{29}[/tex]
Where x is in QIII.
First, recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, the adjacent side is:
[tex]a=\sqrt{29^2-21^2}=20[/tex]
So, with respect to x, the opposite side is 21, the adjacent side is 20, and the hypotenuse is 29.
Since x is in QIII, sine is negative, cosine is negative, and tangent is also negative.
And if x is in QIII, this means that:
[tex]180<x<270[/tex]
So:
[tex]\displaystyle 90 < \frac{x}{2} < 135[/tex]
Thus, x/2 will be in QII, where sine is positive, cosine is negative, and tangent is negative.
1)
Recall that:
[tex]\displaystyle \sin\Big(\frac{x}{2}\Big)=\pm\sqrt{\frac{1 - \cos(x)}{2}}[/tex]
Since x/2 is in QII, this will be positive.
Using the above information, cos(x) is -20/29. Therefore:
[tex]\displaystyle \sin\Big(\frac{x}{2}\Big)=\sqrt{\frac{1 + 20/29}{2}[/tex]
Simplify:
[tex]\displaystyle \sin\Big(\frac{x}{2}\Big)=\sqrt{\frac{49/29}{2}}=\sqrt{\frac{49}{58}}=\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}[/tex]
2)
Likewise:
[tex]\displaystyle \cos \Big( \frac{x}{2} \Big) =\pm \sqrt{ \frac{1+\cos(x)}{2} }[/tex]
Since x/2 is in QII, this will be negative.
Using the above information, cos(x) is -20/29. Therefore:
[tex]\displaystyle \cos \Big( \frac{x}{2} \Big) =-\sqrt{ \frac{1- 20/29}{2} }[/tex]
Simplify:
[tex]\displaystyle \cos\Big(\frac{x}{2}\Big)=-\sqrt{\frac{9/29}{2}}=-\sqrt{\frac{9}{58}}=-\frac{3}{\sqrt{58}}=-\frac{3\sqrt{58}}{58}[/tex]
3)
Finally:
[tex]\displaystyle \tan\Big(\frac{x}{2}\Big) = \frac{\sin(x/2)}{\cos(x/2)}[/tex]
Therefore:
[tex]\displaystyle \tan\Big(\frac{x}{2}\Big)=\frac{7\sqrt{58}/58}{-3\sqrt{58}/58}=-\frac{7}{3}[/tex]
You don't have a driver's license yet, so you have to walk to the store. You can walk 1.5 miles in 24 minutes. If it
took you 32 minutes to walk to the store, how far away is the grocery store?
Answer:
Units:
Blank 1:
Blank 2:
At BBQ Shack they only sell ribs, the cost of a half rack x is $10 and the cost of a full rack y is
$20. The manager's goal for the day is to have at least 25 customers buy ribs, and to have
total sales be greater than $300. Write a system to represent this situation.
Answer:
300=10x+20y
Step-by-step explanation:
You are trying to get the sales to equal 300 so the 10x and 20y added together will get you 300
Jane drew a point that was 3 units to the right of the y-axis and 5 units above x-axis what ordered pair for this location
Answer:
(3,5)
Step-by-step explanation:
If you imagine a grid in your head, moving 3 units to the right is the same as 3 on the x axis, and 5 units above the x axis is the same as 5 on the y axis. X goes before y in an ordered pair, so the answer would be (3,5). Hope this helps!!
45/14=x/14 what is “x”
Answer:
45
Step-by-step explanation:
x=45, just get rid of the denominators when they're the same
Line t passes through points (8,8) and (3, 5). Line u is parallel to line t. What is the slope of line u?
Step-by-step explanation:
use the required formula to find the slope and as the lines are parallel with each other the slope will be equal.
Can someone please help me I really need help
Answer:
2
Step-by-step explanation:
common sense
the quotient of w and 10 is equal to 7
Answer:
8
Step-by-step explanation:
¿Cuál es el resultado de restar la segunda ecuación de la primera? -7x-y=0 7x+8y=-6
Simplify 5a + 2c + 3a + c
1. 8a + 3c
2. 8a + 2c
3. 10ac
Answer:
1. 8a+3c
Step-by-step explanation:
5a+2c+3a+c
8a+2c+c
Solution: 8a+3c
I hope this helps!
Help please I’m need help bad.
Answer:
A. 18
Step-by-step explanation:
Here the numbers are being divided by 7
so
126 / 7 = 18
someone please help me with this problem
Answer:
A and E
Step-by-step explanation:
If you add all the perimeters and the half circles, it would make 40 + 20π. And you can get this in two ways. A and E
Answer:
The correct answer is A and E.
Step-by-step explanation:
The perimeter of this shape is 10 + 10 + [tex]\frac{20\pi }{2}[/tex] + 10 + 10 + [tex]\frac{20\pi }{2}[/tex] = 10 + 10 + [tex]10\pi[/tex] + 10 + 10 + [tex]10\pi[/tex] = 40 + [tex]20\pi[/tex].
A box of cereal states that there are 93 calories in a 3/ 4 cup serving.what is the unit rate for calories per cup?How many calories are there in 4 cups of cereal
Answer:
i love you :)
Step-by-step explanation:
93 ÷ 3 = 31 calories
31 per cup
31 × 4 = 124 calories
124 in 4 cups
Which is not the type of computer
a) micro computer
b) mini computer
c)mainfarm computer
d) calculator
Answer:
d calculator
Step-by-step explanation:
my answer is d. calculator because its not part of computer.
aldin, joel,marcus and lyle want to share 1/2 of a large pizza equally. how much much will each boy eat?
Answer: they will get 1/3 each of the half or how much is remaining cut into 3
Step-by-step explanation:
j divied by 9 is 5, from khan akadamy
Answer:
45
Step-by-step explanation:
Answer:
j = 45
Step-by-step explanation:
j / 9 = 5
*9 *9
j = 45
Find (w)
I need help with this
Answer:
6
Step-by-step explanation:
It's a right triangle and if you look at triangle CGF it has the same measurement for both bases.
Find the dot product of U and V
u=7i, v = -2i + 5j
Answer:
-14
Step-by-step explanation:
Multiply the is together. Multiply the j's together. Add the answer. The answer is a scalar.
(7 × -2) + (5 × 0)
= -14
The concession stand sells hot dogs and soda during the pee-wee football games.John bought 6 hot dogs and 4 sodas and paid $6.70. Jessica bought 4 hot dogs and 3 sodas and paid $4.65. At what prices are the hot dogs and sodas sold? Show your work.
Answer: Hotdog cost $0.75
Price of soda = $0.55
Step-by-step explanation:
Let the price of hot dogs be x.
Let the price of sodas be y.
6x + 4y = 6.70 ...... i
4x + 3y = 4.65 ....... ii
Multiply equation i by 4
Multiply equation ii by 6
24x + 16y = 26.80 ........ iii
24x + 18y = 27.90 ......... iv
Subtract iii from iv
2y = 1.10
y = 1.10/2
y = $0.55
Price of soda = $0.55
From equation i,
6x + 4y = 6.70
6x + 4(0.55) = 6.70
6x + 2.20 = 6.70
6x = 6.70 - 2.20
6x = 4.50
x = 4.50/6
x = $0.75
Hotdog cost $0.75
20 POINTS AND BRAINLESS TO WHO EVER ANSWERS AND IS CORRECT!
The triangles shown are congruent. What is a correct congruence statement for the triangles shown? Enter your answer in the box. △ ≅△NKW A triangle U Z E is made. Another triangle N K W is drawn. The sides Z E and K W are marked equal. The angle U Z E and angle N K W are labeled with a single tick mark. The angle Z E U and angle K W N are labeled with a double tick mark.
ΔUZE ≅ △NKW by angle side angle postultue of congrency.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
In other meaning, if you can copy a figure then that copy and the original figure will be congruent.
As per the given △NKW.
m∠K = m∠Z
Side KW = side ZE
m∠W = m∠E
Thus, by angle side angle theorem both triangles will be congruent.
Hence "ΔUZE ≅ △NKW by angle side angle postulate of congruency".
To learn more about congruence,
https://brainly.com/question/12413243
#SPJ2
The complete question is below,
Please help me thankyou
Answer:
S + 2 = F
Step-by-step explanation:
The number of sides of the end face plus 2 gives you the number of faces of the prism.
f(0)=3, f(4) = 9
how do i find this
Answer:
Step-by-step explanation:
f(3) = 4 f(0) =9
Y = mx + b
m = (9 -4) / (0 - 3) = -5/3
b = 9
Y = - 5/3 X + 9
Find the area of the shape shown below.
10
20
4
Answer:
240
Step-by-step explanation:
Which is a complete list of each term of each term in the expression 15 + 20x?
A. 15: 1, 3, 5, 15
20x: 1, 2, 4, 5, 10, 20, x
B. 15: 1, 3, 5, 15
20x: 1, 2, 4, 5, 10, 20
C. 15: 3, 5
20x: 4, 5, x
D. 15: 1, 3, 5
20x: 1, 2, 4, 5, 10, x
Let's talk......................
..........
Jose earned 5h + 5 dollars for h hours and Alex earned 8h – 10 for h hours mowing lawns. If they earned the same amount
of money, then how many hours did they work?
They worked for
type your answer
Answer:
5 hours
Step-by-step explanation:
This is a classic pre-algebra question.
[tex]5h+5=8h-10\\5=3h-10\\15=3h\\h=5[/tex]
Illustrate it in standard form of quadratic equations. please ♥︎✍︎❤︎
1. 5x^2 + 32 - 12 x = 5x + 12
2. 7x^2 + 8x - 12 = 2x^2 + 8x + 12
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
How many 1/3 of a hour to make a hour?
Answer: 3
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] × 3 = 1
What is the measure of angle z?
137 because they are 180 angles so you subtract 180-43=137.
Answer:
so in this figure the 43°=y°(by vertical opposite angle)
y°+z°=180°(by linear pair)
43°+z°=180°
z=180°-43°
z=137°
A is the poin 3,5 and b is the point 0,k if the distance of ab is 5 units find the possible value of k
Answer:
K is either 9 or 1
Step-by-step explanation:
Sqrt((0 - 3)² + (k - 5)²) = 5
Square both sides
(0 - 3)² + (k - 5)² = 5²
(0 - 3)² + (k - 5)² = 25
-3² + (k - 5)² = 25
9 + (k-5)(k-5) = 25
9 + k² - 5k - 5k + 25 - 25 = 0
k² - 10k +9 = 0
k² - 9k - k + 9 = 0
k(k - 9) - 1(k - 9) = 0
k - 1 = 0 ; k = 1
k - 9 = 9; k = 1
K = 9 or k = 1
K is either 9 or 1