6x + 9 < 3 3x - 8 > 13
6x < 3 - 9 3x > 13 + 8
6x < - 6 3x > 21
x < -6/6 x> 21/3
x < -1 x > 7
solution is : x < -1 or x > 7
====================
4x + 5 > 25
4x > 25 - 5
4x > 20
x > 20/4
x > 5
===================
5 - 2x > = 27
-2x > = 27 - 5
-2x > = 22
x < = -22/2
x < = -11
==================
-2 < = x - 7 < = 11
-2 + 7 < = x - 7 + 7 < = 11 + 7
5 < = x < = 18
Answer:
Perimeter of rectangle = 4x + 80
Area = x² + 40x + 384
Step-by-step explanation:
Perimeter of rectangle = 2*(length + width)
= 2* (x + 24 + x + 16)
= 2*( x +x + 24 + 16) {Combine like terms}
= 2* (2x + 40)
Use Distributive property : a*(b +c) = a *b + a*c
= 2*2x + 2*40
= 4x + 80
Area of rectangle = length * width
= (x + 24) (x + 16) {use FOIL method}
= x*x + x*16 + 24*x + 24*16
= x² + 16x + 24x + 384 {Combine like terms}
= x² + 40x + 384
Answer:
1. T
2. O
3. L
4. C
5.B
6.H
Step-by-step explanation:
Answer:
Y = 28.31
Z = 13.29
Angle A = 28
Step-by-step explanation:
For Angle A:
Remember a triangle has a total of 180 degree angles. So set up your formula as
180 - 62 -90 = Angle A
For Y:
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin (B) = opp/hyp or b/c or (y)
sinB = 62
b = 25
Rewrite as c=b/2SinB -> c=25/sin62 -> Y = 28.31
For Z:
Use the Pythagorean theorem to find the unknown side.

z = 13.29
Answer:
y = 5
Step-by-step explanation:
Expand the logarithm:

_____
You can also take the antilog first:
5y = y²
y(y -5) = 0 . . . . . subtract 5y, factor
y = 0 or 5 . . . . . y=0 is not a viable solution, so y=5.