Answer:
y = 2x + 7
Step-by-step explanation:
y = mx + b The point (-2,3) gives us an x value and a y value that we can use. We are also give the slope (m). All we need to do is figure out the b (y-intercept) value.
y = mx + b
3 = 2(-2) + b
3 = -4 + b Add for to both sides
7 = b We know have every thing that we need to write the equation. We have the slope (m) which is 2 and the b (y-intercept) that we just figured out is 7
y = 2x + 7
I’m pretty sure it’s the second one if not I’m so sorry
2^2=4 so divid 36/4 is 9 and 4*2=8 now subtract 9-8=1 next 36/1 = 36 same on top is 8 now 36-8=28. 28 - 8 is 20 then 20-8= 12 answer is 12
Answer:
Step-by-step explanation:
Given the expression cosec (x) = 4 and tan(x)< 0
since cosec x = 1/sinx
1/sinx = 4
sinx = 1/4
From SOH, CAH TOA
sinθ = opposite/hypotenuse
from sinx = 1/4
opposite = 1 and hypotenuse = 4
to get the adjacent, we will use the Pythagoras theorem
adj² = 4²-1²
adj² = 16-1
adj ²= 15
adj = √15
cosx = adj/hyp = √15/4
tanx = opposite/adjacent = 1/√15
since tan < 0, then tanx = -1/√15
From double angle formula;
sin2x = 2sinxcosx
sin2x = 2(1/4)(√15/4)
sin2x = 2√15/16
sin2x = √15/8
for cos2x;
cos2x = 1-2sin²x
cos2x = 1-2(1/4)²
cos2x = 1-2(1/16)
cos2x= 1-1/8
cos2x = 7/8
for tan2x;
tan2x = tanx + tanx/1-tan²x
tan2x = 2tanx/1-tan²x
tan2x = 2(-1/√15)/1-(-1/√15)²
tan2x = (-2/√15)/(1-1/15)
tan2x = (-2/√15)/(14/15)
tan2x = -2/√15 * 15/14
tan2x = -30/14√15
tan2x = -30/7√15
rationalize
tan2x = -30/7√15 * √15/√15
tan2x = -30√15/7*15
tan2x = -2√15/7
