Answer: (just the first question)
x=3
y=17
Step-by-step explanation:
3x+8=-5x+32
add 5x and subtract 8 from both sides
8x=24
divided by 8
x=3
substitute+simplify
y=3x+8
y=9+8
y=17
y=-5x+32
y=-15+32
y=17
Let "per month" = m
The inequality is
1.5m + 4 ≥ 7
+ 4: Her hair right now is 4 cm long
1.5m: Her hair grows 1.5 per month (m)
≥ 7: She wants it to be at least 7 or more.
1.5m + 4 ≥ 7 is your answer
hope this helps
This is a problem you need to solve using logs. When you use logs you can "pull" the exponents down in front of the log to get a new equation that looks like this: 2x^3 + x^2 log 81 = 6x - 3 log 27. Now divide both sides by log 81 and 6x - 3 simultaneously to get (2x^3 + x^2)/(6x - 3) = (log 27)/(log 81). If you do the log math on the right side you get .75. Now multiply both sides by 6x-3 to get 2x^3+x^2 = .75(6x-3). If you distribute that out on the left side you'll get 2x^3+x^2=4.5x-2.25. Now move everything over to the left side and set the whole thing equal to 0: 2x^3+x^2-4.5x+2.25=0. When you solve for x, you are in essence factoring, so do this by grouping: x^2(2x+1)-2.25(2x+1). Now finally factor out the 2x+1 to get (2x+1)(x^2-2.25). You're not done yet though cuz you need to solve each of those for x: 2x+1=0, and x= -1/2; x^2=2.25, and x=+/- 1.5. So all the values for x here are -1/2, 1.5, and -1.5
Answer:
Angle b= angle c =83degree
Angle d =97degree
Step-by-step explanation:
Since isosceles:
Angle b =angle c
Angle a= angle d
Angle d =a=97
Sum of quadrilateral inner degrees:360
(360-2x97)/2=b=c=83
Answer:
I believe 55
Step-by-step explanation: