When a point lies on the x-axis, its y- coordinate is 0. The same is true for the reverse. So if your point lies on the y-axis, its x coordinate will be 0.
Answer:
Larger fraction = 24/7
Step-by-step explanation:
Given that:
Smaller fraction = 8/3
Larger fraction = ?
Let the larger fraction is x/y then according to the statement:
8/3 / x/y = 7/9
Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.
So, according to rule:
8/3 * y/x = 7/9
8y/ 3x = 7/9
Now multiplying both sides by 3/8 we get
8y/ 3x * 3/8 = 7/9 *3/8
After cancellation:
y/x = 21/ 72
By reducing it to lowest form (dividing both by 3)
We ge:
y / x = 7/ 24
This means y= 7
x = 24
So the larger fraction will become: x/y =24/7
Smaller fraction / Larger fraction = 7/9
8/3 / 24/7 = 7/9
Applying Rule:
8/3 * 7/24 = 7/9
56/ 72 = 7/9
Reducing it to lowest fraction: (dividing both by 8)
7/9 = 7/9
Hence proved
I hope it will help you!
Answer:
9
Step-by-step explanation:
f(x) = 2x² – 3x
Let x=3
f(3) = 2 * 3^2 - 3*3
= 2 *9 - 9
= 18-9
= 9
Answer:
x=±√7
Step-by-step explanation:
Hi there!
We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).
So we need to isolate x onto one side.
We can start by adding 42 to both sides
6x²=42
divide both sides by 6
x²=7
Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).
x=√7 and x=-√7 (can be rewritten as x=±√7)
Hope this helps! :)
3) tan(?) = 9/21
? = arctan(9/21)
? ≈ 23.20°
4) sine and cosine are equal for complementary angles.
θ = 90° - 32°
θ = 58°