What is the equation of axis of symmetry of the given quadratic equation? * y = x2 – 8x - 9
1. What is the equation of axis of symmetry of the given quadratic equation? * y = x2 – 8x - 9
Jawaban:
x = 4
Penjelasan dengan langkah-langkah:
x = -b/2a
= -(-8)/2(1)
= 4
Jawaban:
x = 4
Penjelasan dengan langkah-langkah:
semoga membantu:)
2. 1) What is the y-intercept of the quadratic equation below? * y = x2 - 6x + 9
Penjelasan dengan langkah-langkah:
titik potong persamaan kuadrat
y = x² - 6x + 9
- titik potong terhadap sumbu y, x = 0
y = 0² + 6(0) + 9
y = 9
titik potongnya (0, 9)
- titik potong terhadap sumbu x, y = 0
x² - 6x + 9 = 0
(x - 3)(x - 3) = 0
x = 3
titik potongnya (3, 0)
3. The gradien of the equation y = 3x – 6 is
Jawaban:
Ia arter mah ........ .....
4. find the equation of the circle whose radius is 5 which touches the circle x² + y² - 2x -4x -20 = 0
Penjelasan dengan langkah-langkah:
x² + y² - 2x -4y -20 = 0
cari titik pusatnya dulu
x = –(–2)/2 = 1
y = –(–4)/2 = 2
jadi pusatnya (1, 2)
dengan r=5
kita cari titik potongnya
dengan :
(a+1)/2 = 5
a + 1 = 2(5)
a = 10-1
a = 9
(b+2)/2 = 5
b+2 = 2(5)
b = 10-2
b = 8
Persamaannya menjadi :
(x - a)² + (y - b)² = r²
(x - 9)² + (y - 8)² = 5²
x² - 18x + y² - 16y + (-9)² + (-8)² - 5² = 0
x² + y² - 18x - 16y + 81 + 64 - 25 = 0
x² + y² - 18x - 16y + 120 = 05. the equation of the word valuable is?
Jawaban:
persamaan dari kata bernilai itu?
Penjelasan:
maaf kalo salah
please jadikan sebagai jawaban tercerdas ☺️
Jawaban:
B Inggris = The Equation Of The Word Valuable Is ?
B Indonesia = Persamaan Dari Kata Bernilai Itu ?
6. Please help The equation of a curve is y=x^3+3x^2-9x+k, where k is a constant. i) Find the coordinates of the stationary points on the curve and their natures. ii) Find the values of k for which the curve has a stationary point on the x-axis. iii) Find the equation of the tangent to the curve at the point where the curve intersects the y-axis. iii) Find the set of values for x for which y=x^3+3x^2-9x+k is increasing function.
[tex]EQ\rightarrow\ y=x^3+3x^2-9x+k\\\\i.\\Stationary\ points:\\\ f(x)=x^3+3x^2-9x+k\\f'(x)=3x^2+6x-9\\f'(x)=0=3x^2+6x-9\\0=(3x-3)(x+3)\\x_1=1\\x_2=-3\\\\Nature:\\f'(x)=3x^2+6x-9\\f''(x)=6x+6\\for\ x=1\rightarrow\ f''(x)=12(positive)\\for\ x=-3\rightarrow\ f''(x)=-12(negative)\\hence\ x_2\ is\ the\ maximum\ point\ and\ x_1\ the\ minimum[/tex]
[tex]ii.\\subsititute\ x_1\ and\ x_2\ to\ f(x)\\x_1\rightarrow (1)^3+3(1)^2-9(1)+k=0\\k_{x_1}=5\\x_2\rightarrow (-3)^3+3(-3)^2-9(-3)+k=0\\k_{x_2}=-27[/tex]
[tex]iii.\\intersects \rightarrow\ x=0\\y=(0)^3+3(0)^2-9(0)+k\\y=k\\y=\ 5/-27\\f'(x)=3x^2+6x-9\\3(0)^2+6(0)-9\\hence\ m_{curve}=-9\\\\for\ k=5\\\rightarrow y-5=-9(x-0)\\\rightarrow y=-9x+5\\\\for\ k=-27\\\rightarrow y+27=-9(x-0)\\\rightarrow y=-9x-27[/tex]
[tex]iv.\\because\ x_2\ is\ the\ maximum\ point,\\the\ function\ will\ incerase\ up\ to\ that\ point.\\\\because\ x_1\ is\ the\ minimum\ point,\\the\ function\ will\ decrease\ up\ to\ that\ point.\\\\Hence,\ the\ set\ values\ for\ x\ which\ f(x)\ is\ incerasing\ are:\\(-\infty,-3)\ and\ (1,\infty)[/tex]
hope these helps :)
7. Given the equation linear two variable x = 7y x – y = 36 The value of 3x - 4y is . . . .
102 menggunakan eliminasi dan subtitusi
Jawab:
102
Penjelasan dengan langkah-langkah:
Pertama, cari nilai dari y dengan cara mengeliminasi x:
[tex]x = 7y\\x - y = 36\\\\x - 7y = 0\\x - y = 36\\============-\\-6y = -36\\y = 6[/tex]
Kedua, cari nilai dari x setelah mendapatkan nilai dari y dengan cara substitusi nilai dari y ke salah satu persamaan:
[tex]x = 7y\\x = 7 \times 6\\x = 42[/tex]
Ketiga, substitusikan nilai dari x dan y pada 3x - 4y:
[tex]3x - 4y\\\\= 3 \times 42 - 4 \times6\\\\= 126 - 24\\\\= 102[/tex]
8. Find the value of x of the following equation. x2+(x+2)2
Jawab:
(x + 2)² = (x + 2) (x + 2)
=x.x + x.2 + x.2 + 2.2
=x² + 2x + 2x + 4
=x² + 4x + 4
x² + x² + 4x + 4=2x² + 4x + 4
Penjelasan dengan langkah-langkah:
cari nlai x sendiri ya will aku juga bingung
9. find the equation of the straight line which has a gradient of 2 and which passes through the point (2,1).
y-y1=m(x-x1)
y-1=2(x-2)
y=2x-4+1
y=2x-3
mungkin gitu(?)
10. the equation of a function is y=3x-5. find the value of x when y=10
Jawaban:
y=10
x=?
y=3x-5
10=3x-5
10+5=3x
15=3x
15:3=x
5=x
x=5
don't forget make me a very good answer
The value of x when y = 10 is 5
Pembahasan:y = 3x - 5
Find the value of x when y = 10
Answer:
Change y with 10.
10 = 3x - 5
3x = 10 + 5
3x = 15
x = 15/3
x = 5
Kesimpulan:So, The value of x when y = 10 is 5
11. The point M is the mid-point of the line joining the points (3. 7) and (-1, 1). Find the equation of the line through M which is parallel to the line y/3 + y/2 = 1
Jawaban:
y = 4
Penjelasan dengan langkah-langkah:
titik tengah M { (-1+3)/2 , (1+7)/2} , M (1 , 4)
y/3 + y/2 = 1
y = 6/5
garis sejajar melalui M adalah y = 4
12. The value of b of the equation 4b+11=9 is ....
Jawaban:
4b+11=9
4b= 9-11
4b= -2
b= -2/4
b= -1/2 atau -0,5
so, 4b + 11 = 9
4(-1/2) + 11 = 9
-2 + 11 = 9
Jawaban:
b = - 1/2
Penjelasan dengan langkah-langkah:
4b + 11 = 9
4b = 9 - 11
4b = - 2
b = - 2/4
b = - 1/2
Maaf kalo salah
13. find the equation of the straight line which passes through the point (-2,4) and is parallel to the line y=2x +5.
y = 2x + 5
m = 2
y - b = m(x - a)
y - 4 = 2(x -(-2))
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 4 + 4
y = 2x + 8
14. The equation 2y + 2x = 0, if the value of x is 3 so the value of y is…
Hopefully help you.
The answer is y = -3.
15. . Is the following equation a linear equation of 2 variables. x - y = -4 * a.yes b.no
menurut saya jawaban nya A karena ada x dan y
16. Which equation represents the standard enthalpy change of formation of water .....
Jawaban:
equation represents the standard enthalpy change of formation of water
is 2H2(g)+O2(g)→2H2O(l)
17. 1.Draw the curves of equation y = x2 + 2x - 5 (10 pts)
Penjelasan dengan langkah-langkah:
× + y= 3atau ×+y=_3
semoga mem bantu
18. An object has a position equation of 2t²+4t-8 the equation of the velocity sector for the object is
Kinematics.
x = 2t² + 4t - 8
v = dx / dt
= 4t + 4
19. Consider the linear equation xy + xy-4y=x² Let y be the general solution of the "reduced" (or complementary") equation xy + xy-4y = 0 and let y, be a particular solution of given differential equation. Show that y + y, is the general solution of DE
Bentuk faktorissasi prima dari FPB bilangan 24,42,dan 56 adalah
20. The line equation which is trough point (-3,7) and having gradient -2 is
(y-y1) = m (x-x1)
(y-7) = -2 (x-(-3))
y-7 = -2 (x+3)
y-7 = -2x -6
y+2x = -6 +7
y+2x = 1 atau -2x-y = -1
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