Answer:
3/4
Step-by-step explanation:
24-6=18--> role playing games
18/24=3/4
Given:
Tangent segment MN = 6
External segment NQ = 4
Secant segment NP =x + 4
To find:
The length of line segment PQ.
Solution:
Property of tangent and secant segment:
If a secant and a tangent intersect outside a circle, then the product of the secant segment and external segment is equal to the product of the tangent segment.
![\Rightarrow NQ\times NP = MN^2](https://tex.z-dn.net/?f=%5CRightarrow%20NQ%5Ctimes%20NP%20%3D%20MN%5E2)
![\Rightarrow 4\times (x+4) = 6^2](https://tex.z-dn.net/?f=%5CRightarrow%204%5Ctimes%20%28x%2B4%29%20%3D%206%5E2)
![\Rightarrow 4x+16 = 36](https://tex.z-dn.net/?f=%5CRightarrow%204x%2B16%20%3D%2036)
Subtract 16 from both sides.
![\Rightarrow 4x+16-16 = 36-16](https://tex.z-dn.net/?f=%5CRightarrow%204x%2B16-16%20%3D%2036-16)
![\Rightarrow 4x =20](https://tex.z-dn.net/?f=%5CRightarrow%204x%20%3D20)
Divide by 4 on both sides.
![$\Rightarrow\frac{4x}{4}=\frac{20}{4}](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7B4x%7D%7B4%7D%3D%5Cfrac%7B20%7D%7B4%7D)
![\Rightarrow x = 5](https://tex.z-dn.net/?f=%5CRightarrow%20x%20%3D%205)
The length of line segment PQ is 5 units.
Answer:
positive slope
(0,3)
slope = 2
Step-by-step explanation:
- Slope of the given line is positive
- If the line is sloping upward from left to right, so the slope is positive (+).
or if the angle made by the line to the x axis is < 90 it's slope is positive.
- y-intercept of the line is (0,3)
- The y intercept is the point where the line crosses the y axis. At this point x = 0.
- slope of the line is 2
- slope = (y2 - y1) / (x2 - x1)
lines passing through points (1,5) (0,3)
slope = (3 - 5) / (0 - 1)
= -2 / -1 = 2
Start on (0,1) go down 4, and over 1
The answer is F.)
Approximately 50