Answer:
The solution of the given system of equation is (-4, 1)
Step-by-step explanation:
Given system of equation 5x− y = −21 and x+y= −3
We have to find the solution of the given system of equation.
Consider the
Given system of equation
5x− y = −21 .......(1)
x + y = −3 .......(2)
Adding (1) and (2) , we have,
⇒ 5x - y + (x + y ) = -21 + (-3 )
⇒ 5x - y + x + y = -21 - 3
⇒ 5x + x = -24
⇒ 6x = -24
⇒ x = -4
Substitute x = -4 in (2) , we get,
x + y = −3 ⇒ (-4) + y = −3 ⇒ y = -3 + 4 ⇒ y = 1
Thus, the solution of the given system of equation is (-4, 1)
Answer:
See below.
Step-by-step explanation:
sin2x-tanx
= 2sinx cosx - sinx/cos
= (2sinx cos^2x - sin x) / cos x
= sinx ( 2 cos^2x - 1 ) / cos x
Now sin x / cos x = tanx and 2 cos^2 x - 1 = cos2x
so this simplifies to cos2x tan x.
Answer:
38.5
Step-by-step explanation:
to find the area of the triangle, you can do 11 x 3 ÷ 2 = 16.5
then you find the area of the triangles: 3 x 3 = 9
and 3 × 11 = 33
then you add them all to find a total area of 38.5
Answer:
50 - 15m
Step-by-step explanation:
You start out with 50 dollars so that is the constant.
Each DVD is 15 dollars, so for every dvd(m) it is 15 dollars.
Answer:
No.
Step-by-step explanation:
Your keyword here is "given." If we calculate the probability of an event, GIVEN that one event occurs, too, then we have dependent events, because the outcome of one event relies on the other. For this scenario, you have the probability of absence on any day of the week is 0.08, but then they say "well, but if it's Friday, that probability actually goes up quite a bit." This tells you that your events aren't independent because the day being Friday increases the chances of a student being absent from the baseline 0.08 probability.