Step-by-step explanation:
We have got the lines :

Both lines intercept the x-axis in the point :

In all point from x-axis the y-component is equal to 0.

We replace the I point in the lines equations:

From the first equation :

From the second equation :

Then 
Finally :

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc
Answer: y=6
Step-by-step explanation:
First distribute... 9p-36=18
then add 36 to the 18 to help isolate the variable..
9p=54
then to get the variable by itself divide 54 by 9 and get 6
Answer:
4.5
Step-by-step explanation:
<h3> given:</h3>
<u>
</u>
<u>
</u>
<h3>to find:</h3>
the radius of the cone.
<h3>solution:</h3>




<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>cone</u><u> </u><u>is</u><u> </u><u>5.05</u><u> </u><u>centimeters</u><u>.</u>
Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
- r is the radius of the circle
- h, k are the coordinates of the center of the circle
Let us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144