Answer:
in bold
Step-by-step explanation:
M is the slope and b is the y intercept
1 looks correct
2. Chose 2 points; I chose (0,2) and (2,2) Find slope: 0/-2=0 y=mx+b y=0x+b y=b b=2 y=2
3. Chose 2 points: I chose (2,9) and (0,5) Find slope: 4/2=2 y=mx+b y=2x+5
4. Chose 2 points: I chose (0,-2) and (2,-3) Find slope: 0--3/-2-2=3/-4 y=mx+b y=-3/4x-2
5. SSS
6. ASA
7. SAS
8. ASA
9. ASA
First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb
tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx,
<span>cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx,
</span> because <span>cospi/2 =0, </span>and <span>sinpi/2=1
</span><span>=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
</span>from where <span>tan(x+pi/2)=-cotx</span>
Answer:
C. y = | x | – 13
Step-by-step explanation:
y = | x | – 13
Answer:
y = |x| -13
Step-by-step explanation:
recall for any function y = f(x), to translate the function vertically by any value "a", we simply have to add "a" to f(x).
If a is positive, then the graph is translated in the positive y-direction (i.e upwards), if a is negative, then the graph is translated in the negative y-direction (i.e downwards)
In our case , the graph is translated vertically by 13 units (i.e a = 13) and it is to be translated downwards (i.e negative)
hence we add a= -13 to the original function.
y = f(x) + (-13)
y = |x| + (-13)
y = |x| -13
