Answer:
10
Step-by-step explanation:
Standard form for a circle is
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius
--------------------------------
x² + y² - 18x + 24y = -200
Rearrange
(x² - 18x) + (y² + 24y) = -200
Complete the square for x
(x - 9)² + (y² + 24y) = -200 + (-9)²
Complete the sqaure for y
(x - 9)² + (y + 12)² = -200 + (-9)² + 12²
(x - 9)² + (y + 12)² = 25
Now the equation is in standard form
r² = 25
r = 5
Therefor Diameter = 10
If there is suppose to be a negative sign.
3x -1(2x + 4x - 6)
Distribute the -1 to all terms within the parenthesis
-1(2x + 4x - 6) = -2x - 4x + 6
3x - 2x - 4x + 6
Simplify. Combine like terms
(3x - 2x - 4x) + 6
-3x + 6
-3x + 6 is your answer
hope this helps
Factor to find x intercepts
x intercepts occur where f(x)=0
so
0=f(x)=x^2-5x+4
what2 numbers multiply to get 4 and add to get -5?
-4 and -1
0=(x-4)(x-1)
set to zero
x-4=0
x=4
x-1=0
x=1
x intercepts at 1 and 4
so therefor it is the 3rd option
Answer:
1900
Step-by-step explanation:
1 kg = 1000g
1.2kg = x
<u>1</u><u> </u><u>kgx</u> = <u>1</u><u>2</u><u>0</u><u>0</u><u> </u><u>kg.g</u>
1kg. 1kg
x = 1200 g
1 decagram = 10g
40 decagram = x
<u>1</u><u> </u><u>dg.x</u> = <u>4</u><u>0</u><u>0</u><u> </u><u>dg.g</u>
1 dg. 1 dg
x = 400g
so the total= 1200g +300 + 400g=1900g
without the unit = 1900
Answer:
(2,1)
Step-by-step explanation:
3x+y = 7
-2x +y = -3
Solve the second equation for y by adding 2x to each side
-2x+2x +y = -3+2x
y = -3 +2x
Substitute into the first equation
3x+ (-3+2x) = 7
Combine like terms
5x -3 = 7
Add 3 to each side
5x-3+3 = 7+3
5x = 10
Divide by 5
5x/5 = 10/5
x=2
Now we need to solve for y
y = -3 +2x
y = -3 +2(2)
y = -3+4
y =1
