Answer:
4/9 is bigger
Step-by-step explanation:
For the 1st fraction, since 9 × 4 = 36,
4/9 = 4 × 4
9 × 4 = 16/36
Likewise, for the 2nd fraction, since 36 × 1 = 36,
7/36= 7 × 1
36 × 1 = 7/36
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
16/36> 7/36 or 4/9 > 7/36
From the graph above, the vertex of the graph (h,k) is (10,4).
The general equation in its vertex form is,
Therefore,
Hence, option D is the correct answer.
(x – 6)² + y² = 36
x² + y² = 12
x² + y² = 144
(x + 6)² + y² = 36
(x + 12)² + y² = 144
Answer:
Options 2 and 5.
Step-by-step explanation:
The standard form of a circle is
... (1)
where, (h,k) is center and r is radius.
We need to find the circle that has a diameter of 12 units, and its center lies on the x-axis.
So, radius of required circle must be 6 and center is in the form of (a,0).
The first equation is
.... (2)
On comparing (1) and (2) we get
Center of the circle is (12,0) and radius is . So, option 1 is incorrect.
Similarly,
For equation 2, center of the circle is (6,0) and radius is . So, option 2 is correct.
For equation 3, center of the circle is (0,0) and radius is . So, option 3 is incorrect.
For equation 4, center of the circle is (0,0) and radius is . So, option 4 is incorrect.
For equation 5, center of the circle is (-6,0) and radius is . So, option 5 is correct.
For equation 6, center of the circle is (-12,0) and radius is . So, option 6 is incorrect.
Therefore, the correct options are 2 and 5.
Answer:
Step-by-step explanation:
First of all cross multiply
That's
Expand the terms
Add 16 to both sides
That's
Subtract 35w from both sides
We have
We have the final answer as
Hope this helps you
We are given the following expression
Here the base is √2 and its power (exponent) is √7
The value of this expression can easily be calculated using any scientific calculator.
The maximum number of decimal places depends upon the type of calculator you use.
Let us round this value to 7 decimal places.
4
Answer:
x = 4 + 2 sqrt(5) or x = 4 - 2 sqrt(5)
thus :
8
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 8 x - 4 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 4 to both sides:
x^2 - 8 x = 4
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 16 to both sides:
x^2 - 8 x + 16 = 20
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 4)^2 = 20
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 4 = 2 sqrt(5) or x - 4 = -2 sqrt(5)
Hint: | Look at the first equation: Solve for x.
Add 4 to both sides:
x = 4 + 2 sqrt(5) or x - 4 = -2 sqrt(5)
Hint: | Look at the second equation: Solve for x.
Add 4 to both sides:
Answer: x = 4 + 2 sqrt(5) or x = 4 - 2 sqrt(5)
Answer:
-8 or option A
Step-by-step explanation:
2023