X^2+4x+10=0
x^2+4x=-10
x^2+4x+4=-6
(x+2)^2=-6
x+2=±i√6
x=-2±i√6
So the correct answer is the third one down from the top.
10 km ÷ 2.5 hours = 4 km/h — This is Sara's record
7.5 km ÷ 2 hours = 3.75 km/h — This is Katerina's record
9.5 km ÷ 2.25 hours = 4.2 km/h — This is Candice's record
Therefore, the answer is Candice had the fastest average speed.
Answer:
(8, -22)
Step-by-step explanation:
The tables each contain four (x,y) points of a straight line. You can see that for every increase of x by 2, y decreases by 8 in the first one (observe 26, 18, 10 2), and decreases by 6 in the second.
If you continue the table with x=4, 6 and 8, you get y=-22 in both cases for x=8. That is the intersection, so the solution is (8,-22).
Added a graph. The equations are y=10-4x and y=2-3x respectively. Hope you understand a bit of this (brief) explanation.
We know that
cos A=adjacent side angle A/hypotenuse
adjacent side angle A=24 units
hypotenuse=26 units
cos A=24/26-----> 12/13
cos B=adjacent side angle B/hypotenuse
adjacent side angle B=10 units
hypotenuse=26 units
cos B=10/26------> 5/13
the answers are
cos A=12/13
cos B=5/13
cot A=adjacent side angle A/opposite side angle A
adjacent side angle A=24 units
opposite side angle A=10 units
cot A=24/10------> cot A=12/5
cot B=adjacent side angle B/opposite side angle B
adjacent side angle B=10 units
opposite side angle B=24 units
cot B=10/24------> cot B=5/12
Answer:
B. s = 24t
Step-by-step explanation:
Since s varies directly with t, therefore, equation that will represent the relationship would take the form of s = my
m = rate of change
✔️Find the rate of change:
Rate of change using two given pairs, (0.5, 12) and (2.5, 60),
Rate of change (m) = ∆s/∆t = (60 - 12)/(2.5 - 0.5) = 48/2 = 24
✔️Substitute m = 24 into s = mt
s = 24t
