1 + sec^2(x)sin^2(x) = sec^2(x)
This becomes
1+tan^2(x) = sec^2(x) which is an identity
You could
1 + sin^2(x)/cos^2(x) = sec^2(x)
then
cos^2(x) + sin^2(x) = cos^2(x)sec^2(x)
1 = 1
Step-by-step explanation:
the slope of a line function is always the factor of x.
in our case here : 1/5
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
in our case that means y increases by 1 for every increase of x by 5.
now, the perpendicular slope simply changes x and y upside-down and flips the sign.
so, here the perpendicular slope is : -5/1 = -5
the line function looks therefore like
y = -5x + b
b is the y-intercept, and we get it by using the coordinates of the point for x and y :
-8 = -5×0 + b = b
so, the full line function is
y = -5x - 8
Answer:
<em>55mph
. None of the options are correct
</em>
Step-by-step explanation:
If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;
v is the speed
t is the time taken
Hence;
v = k/t with k being the constant of proportionality.
Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:
55 = k/5
Cross multiply
k = 55*5
k = 275
Hence, to calculate the speed it will Martin to drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t as shownl
v = 275/5
v = 55 mph
<em>Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.</em>
Answer:
the first two are yes the other two are no
Step-by-step explanation:
i just did this on edgenuity
