Answer:
(-5)(-9)
Step-by-step explanation:
any negative multiplied by any negative will always equal a positive
Answer:
-4 sqrt(7)/7
Step-by-step explanation:
csc theta = -4/3
csc theta = hypotenuse / opposite side
hypotenuse = 4
opposite = 3
Using the pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9+b^2 = 16
b^2 = 16-9
b^2 = 7
Taking the square root
sqrt(b^2) = sqrt(7)
b = sqrt(7)
We are in the third quadrant so only tan and cot are positive
that means the x and y values are "negative" so a = -3 and b = - sqrt(7)
sec theta = hypotenuse / adjacent
= 4/ - sqrt(7)
rationalizing
-4 sqrt(7)/ sqrt(7)* sqrt(7)
= -4 sqrt(7)/7
Answer:
(4,3)
Step-by-step explanation:
To find the midpoint add the end points and divide by 2
P(2,5) S ( sx, sy) and the midpoint is and H (3,4)
X coordinate
( 2+ sx) /2 = 3
Multiply each side by 2
2+sx = 3*2
2+sx = 6
Subtract 2
sx = 4
Y coordinate
( 5+ sy) /2 = 4
Multiply each side by 2
5+sy = 4*2
5+sy = 8
Subtract 5
sy = 3
The end point is
(4,3)
Answer:
It takes the frog 7 hours to get out of the well.
Step-by-step explanation:
We know that the well is 11 feet deep and the frog can climb 3 feet per hour.
Each time it climbs, it rests for an hour, and decreases its height by 1 foot.
So, if the frog reaches 3 feet in the first hour, then in the next hour it is 2 feet.
Lets calculate with the same pattern:
1st hour: 3 feet
2nd hour: 
feet
3rd hour: 
feet
4th hour: 
feet
5th hour: 
feet
6th hour: 
feet
5th hour: 
feet
6th hour: 
feet
7th hour: 
feet
Therefore, it takes the frog 7 hours to get out of the well.
