Option C:
x = 6 units
Solution:
QR = 7 units, RS = 5 units, UT = 4 units and ST = x
<em>If two secants intersect outside a circle, the product of the secant segment and its external segment s equal to the product of the other secant segment and its external segment.</em>
⇒ SR × SQ = ST × SU
⇒ 5 × (5 + 7) = x × (x + 4)
⇒ 5 × 12 = x² + 4x
⇒ 60 = x² + 4x
Subtract 60 from both sides.
⇒ 0 = x² + 4x - 60
Switch the sides.
⇒ x² + 4x - 60 = 0
Factor this expression, we get
(x - 6)(x + 10) = 0
x - 6 = 0, x + 10 = 0
x = 6, x = -10
Length cannot be in negative measures.
x = 6 units
Option C is the correct answer.
To make the equation easier to look at change it to this:
y = 15 - 3x
To find the x intercept say y = 0.
0 = 15 - 3x
Subtract 15 from each side.
-15 = -3x
Divide each side by -3.
5 = x <–––– x-intercept
The y-intercept of the equation is 15.
Hope this helps!
4.89 / 3 = 1.63
Each slice of pizza costs $1.63
Don't know if this is what you're looking for but here. Hope it helps.
Sara woke up at 9:00. She has dance practice at noon(12:00) it ends at 2:15. She has to meet her friend Jerry for pizza at 5:30. How much time does she have before dance, at dance, and from dance to dinner?
Kind of hard to follow but first take 9:00 to 12:00. 12-9=3 so 3 hours before dance. Next how long dance is. To get from 12:00 to 2:00 you need 2 hours. to get from 2:00 to 2:15 is 15 minutes. So dance is 2 hours and 15 minutes. After dance until dinner is going to be 2:15 to 5:30. To get to 2:00 to 5:00 is three hours. You need 15 minutes from 15 to 30. So She has 3 hours and 15 minutes from dance to dinner.
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