The nature of the roots can be determined by the determinant of the equation. The determinant is:
b² - 4ac
If this is positive, there are two roots
If this is 0, there is only one root
If this is negative, there are complex roots
Step-by-step explanation:
5x-3y-4=0---------(1)
Slope = - coefficient of X/ coefficient of y
= -5/(-3)
= 5/3
(x1,y1)= (-5,7)
Equation of the line,
Y-Y1= slope(X-X1)
Y-7= (5/3)×(X-(-5))
Y-7= (5x+25)/3
3y-7=5x+25
5x-3y+32=0 is the required eqn
Answer:
We see that the only complete time-distance pair indicates that she walked 6.4 miles in 2 hours. If she walked at a constant speed, we can conclude that girl walked 3.2 miles in 1 hour. Using this speed, we can find the remaining values in the table. The easier entry to complete is finding out how far she walked in 5 hours: 5 hours⋅3.2 miles/hour=16 miles. To find out how long it took to walk 8 hours we can either notice that 8 is half of 16, so it took half the time to walk half the distance or we can divide 8 miles by 3.2 miles per hour to find that it took 2.5 hours
Step-by-step explanation:
Answer:
4.58
Step-by-step explanation:
21 is not a perfect square, but lies between the perfect squares 16 and 25. Thus, √21 lies between √16 and √25, that is, between 4 and 5. Since 21 is closer to 25 than to 16, √21 is closer to 5 than to 4. A rough estimate of √21 would be 4.7.
√21 done on a calculator comes out to 4.58.
Answer: 
Step-by-step explanation:
Let the angle of depression be x.
