find the equation of the circle whose radius is 5 which touches the circle x² + y² - 2x -4x -20 = 0
1. 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 = 02. the vertex of a parabola is at the origin and Q(3,-2) is a point on the parabola. Find the equation and focus of this parabola if the focus is on the negative side of the y-axis
Vertex origin = Pusat(0,0)
Melalui (3,-2)
Parabola terbuka ke kiri
[tex]y^2=4px \\ (-2)^2=4p(3) \\ 4=12p \\ p=\frac{1}{3} \\ $Persamaan umum:$ \\ y^2=-4px \\ y^2=-\frac{4}{3}x \\ $Fokus : $(0-p,0) \\ $Fokus : $(-\frac{1}{3},0)[/tex]
3. My equation editor not shown pictures moodle, what is the meaning of ?
Jawaban:
it's mean the editor don't show the picture moodle to everyone
4. If p = 2 is a solution of the equation 2p - hp +6=0, find the value of h. Hence, find the other solution for the equation.
remember p = 2
Then,
2p² - hp + 6 = 0
2(2)² - h(2) + 6 = 0
2(4) - 2h + 6 = 0
8 + 6 - 2h = 0
14 - 2h = 0
2h = 14
h = 7
so, we have solution h is a 7
5. 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. Find andrews age Their mother age The sum of the ages of the four member in the family is 138 i)Write Down equation in x Solve the equation in (i) to find the value of x III) hence,find the Father's age when Andrew was born
abigail = x
andrew = x + 11
mother = 3x
father = 2 (x+11) = 2x + 22
a.i. andrew's age = x + 11
a.ii. mother's age = 3x
b.i. x + x + 11 + 3x + 2x + 22 = 138
b.ii. x + x + 11 + 3x + 2x + 22 = 138
7x + 33 = 138
7x = 138 - 33
7x = 105
x = 105/7
x = 15
b.iii father = 2.15 + 22 = 30 + 22 = 52
andrew = x + 11 = 15 + 11 = 26
the father's age when andrew was born = 52-26 = 26
7. Given one of the roots of the quadratic equation x 2 + kx – 3 = 0 is 3. Find the value of k.
Jawaban:
x²+kx-3=0
3²+3k-3=0
9+3k-3=0
3k+6=0
3k=-6
k=-2
barangkali ada yg ditanyalan dm dan follow ig @alwi_dj
8. Find the equation of the line through the point (-4, -2) and gradient is 5
Jawab:
(-4,-2) gradient (m) = 5
y – y1 = m(x – x1)
y - (-2) = 5(x - (-4))
y + 2 = 5x + 20
y - 5x +2-20 = 0
-5x + y - 18 = 0
Penjelasan dengan langkah-langkah:
9. (i) If x = 5 is a solution of the equation x^2 - qx + 10 = 0, find the value of q.(ii )Hense, find the other solutions of the equation.(i) q =(ii) x =
Penjelasan dengan langkah-langkah:
x²-qx+10=0
5²-5q+10=0
25+10=5q
35 = 5q
q = 7
x²-7x+10 = (x-5)(x-2)
x=5 atau x=2
10. Problem 3 : The shipping fee via US Priority Mail includes a $5 insurance fee and $6 per kilogram of the package. If an equation is made to calculate the shipping charge, Write the equation that represent this situation Draw the graph of the equation Calculate the total cost of 25 kilograms of the packages What would be the value of the slope?
Jawab:
Maaf saya kurang mengerti
Penjelasan dengan langkah-langkah:
Maaf ya
11. 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
12. find the equation of the line that is perpendicular to the line y = 3x - 1 through the point 12,4
Jawab:
x + 3y - 24 = 0Penjelasan dengan langkah-langkah:
The gradient (m) of a line perpendicular to another line is
-1 / the gradient of another line
y = 3x - 1, therefore m₁ = 3
-1 / (m₁) =
-1 / (3) =
m₀ = -1/3
Point passed = (12, 4)
x₁ = 12y₁ = 4With this equation, find the equation of line:
y-y₁ = m₀(x-x₁)
y-4 = -1/3(x-12)
y-4 = -1/3)x + 4
y = -1/3)x + 4 + 4
y = -1/3)x + 8
3y = -x + 24
or
x + 3y - 24 = 0 ✅嘉誠
13. A mass of an ideal gas of volume v, at pressure p, undergoes a cycle of changes as shown in the graph.
Jawaban:
Sebuah massa gas ideal volume v, pada tekanan p, mengalami siklus perubahan seperti yang ditunjukkan pada grafik.
Penjelasan:
Translate:
A mass of an ideal gas of volume v, at pressure p, undergoes a cycle of changes as shown in the graph.
Sebuah massa gas ideal volume v, pada tekanan p, mengalami siklus perubahan seperti yang ditunjukkan pada grafik.
semoga membantu
14. make the graph of this equation : 2x + y = 2!
Semoga Bermanfaat
:")
15. Which of the following statements correctly describes the motion of the car shown by the velocity time graph
Mana dari pernyataan-pernyataan berikut benar menjelaskan gerakan mobil yang ditunjukkan oleh kecepatan waktu grafik.
16. Data were collected on the fiber diameter and the fleece weight of wool taken from a sample of 20 sheep. the data are shown in the following graphs. graph 1 is a scatterplot of fleece weight versus fiber diameter with the respective least-squares regression line shown. graph 2 is the associated plot of the residuals versus the predicted values.
Penjelasan dengan langkah-langkah:
Pengambilan data diameter serat dan berat bulu domba diambil dari sampel sebanyak 20 ekor domba. data tersebut disajikan dalam grafik berikut. grafik 1 adalah sebaran berat bulu domba versus diameter serat dengan masing-masing garis regresi kuadrat terkecil ditampilkan. grafik 2 adalah plot terkait dari residu versus nilai yang diprediksi
17. 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
18. If the equation 4x2 - 12x + c = 0, where c is a constant, has two equal roots, find the value of c and the roots of the equation.
Jawaban:
(2x-3)(2x-3)
4x²-6x-6x+9
4x²-12x+9
c=9
19. find the sum of the terms of an infinite geometric sequence whose first term is 4 and common ratio ⅕
" Barisan Geometri "
__________
>>>Diketahui:
a = 4
r = ⅕
________
>>> S∞ = ....
___________
[tex] \sf S_{ \infty } = \frac{a}{1 - r} [/tex]
[tex] \sf S_{ \infty } = \frac{4}{1 - \frac{1}{5} } [/tex]
[tex] \sf S_{∞} = \frac{4}{ \frac{4}{5} } [/tex]
[tex] \sf\to 4 \div \frac{ 4}{5} \\ \sf \to \cancel{4} \times \frac{5}{ \cancel{4}} [/tex]
[tex] \boxed{ \sf S_{∞} = 5}[/tex]
____________
CMIIW
Ciyo.
20. If y is directly proportional to x and y = 20 whenx = 5,(i) find an equation connecting x and y,(ii) draw the graph of y against x.
diketahui [tex]x\propto y[/tex]
maka [tex]x = ky[/tex]
dengan [tex]k[/tex] suatu konstanta
berdasarkan yang diketahui
[tex]20 = k\cdot 5[/tex]
bisa didapat bahwa
[tex]k = 4[/tex]
sehingga
(i) [tex]y = 4x[/tex]
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