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>
To get the answer we can use proportion
8 ginger ----------------- 3 fruit
12 ginger ----------------x
Crossmultiply now
8x=12*3 /:8
x=
x=<u />
To not change ratio we have to have 4.5 cups of fruilt juice. We initialy had 3, so we have to add 1.5 cup of fruit juice.
Answer:
39
Step-by-step explanation:
g(x)= -2x+2 and f(x)= 3x^2+4
(g+f)(-3)
g(-3) = -2(-3) +2 = 6+2 =8
f(-3) = 3 (-3)^2 +4 = 3(9)+4 = 27+4 = 31
(g+f)(-3) = g(-3) + f(-3) = 8+31 = 39
Answer:
Step-by-step explanation:
To solve this problem, first you have to use the slope formula of .
y2= (-7)
y1=6
x2=4
x1(-6)
Solve.
Therefore, the correct answer is -13/10.
To write
as a terminating decimal we will turn this fraction to a decimal. To do this we will divide the numerator by the deliminator and the result will be the decimal.Then we will check if it is a terminating decimal or repeating decimal. Lets do it:-
78 ÷ 25 = 3.12
3.12 is a terminating decimal. So,
as a terminating decimal is
3.12.Hope I helped ya!!