35.A
36.C
37.B
38.B
39.D
Step-by-step explanation:
Hope it helps
A) The greatest rectangular area will be the area of a square 10 m on each side, 100 m^2.
b) The new dimensions will be 11 m × 11 m.
.. The new area will be (11 m)^2 = 121 m^2.
c) The area was increased by 121 m^2 -100 m^2 = 21 m^2, or 21%.
d) Yes, and no.
.. If you increase the dimensions by 10%, the area will increase by 21%.
.. (40 m)^2 = 1600 m^2
.. (44 m)^2 = 1936 m^2 = 1.21*(1600 m^2), an increase of 21% over the original.
.. If you increase the dimensions by 1 unit, the area will increase by (2x+1) square units, where x is the side of the original. For x≠10, this is not 21 square units.
.. (41 m)^2 = 1681 m^2 = 1600 m^2 +(2*40 +1) m^2 = 1600 m^2 +81 m^2
Savings and Loan Institutions.
Answer:
<em>x </em>equals 3.6.
Step-by-step explanation:
A way to solve this equation is to preform the inverse operations on both sides.
1. Add 19 to -19 and 5: 5<em>x </em>+ 6 - 19 + 19 = 5 + 19 ---> 5x + 6 = 24
2. Subtract 6 from 6 and 5: 5x + 6 - 6 = 24 - 6 ---> 5x = 18
3. Divide 5x and 18 by 5: 5x / 5 = 18 / 5 ---> x = 3.6
4. 3.6 is the answer.
To prove it, substitute x with 3.6 in the equation: 5 · 3.6 + 6 - 19 = 5
I hope this made sense and helped you a lot! :)
Answer:
y = 3x + 40
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (- 12, 4 ) into the partial equation
4 = - 36 + c ⇒ c = 4 + 36 = 40
y = 3x + 40 ← equation of line
