Answer:
-40.5, 60.75, -91.125
Step-by-step explanation:
first you want to find the common difference. So just divide 12 by -8, which is -1.5 and then multiply 27 by -1.5, which is -40.5 and continue two more times.
For identifying the slope of a line, is easier if we get the equation to its slope-intercept form, that is:
y = mx + b
where m is the slope, and b is the y axis intercept. So we'll change the original equations and get them to this form:
<span>3y+ x= 12
3y = -x + 12
y = (-1/3) + 4
therefore the slope is -1/3 and the y-axis intercept is 4
-9x + 4y = 16
4y = 9x + 16
y = (9/4)x + 4
therefore the slope is 9/4 and the y-axis intercept is 4</span>
Answer:
19.68
Step-by-step explanation:
1/4 x 16 = 4
1.23 x 16 = 19.68
so you have 1/4 of pound so you will time that by four which equals 1 pound
now with that info you times 4 x 4 3 more times to get 4 pound
but you want the price so you figure how many fours there were and time them to gt 16 then you 16 x 1.23
Answer:

Step-by-step explanation:
Given equation:



Simplify:

Subtract ln 8 from both sides:

Subtract ln x from both sides:



Simplify:



Multiply both sides by x:

Subtract x from both sides:

Using the Law of Sines (sina/A=sinb/B=sincC for any triangle)
sinc/28=sin90/53 (sin90=1) multiply both sides by 28
sinc=28/53 take the inverse of sin (arcsin) of both sides
c=arcsin(28/53)°
c≈31.89° (to nearest hundredth of a degree)
So it is obvious that they rounded to nearest tenth of a degree
c≈31.9°