Answer:
<em>1 cm^2 : 9 m^2</em>
Step-by-step explanation:
The scale factor of an area is the square of the scale factor of a length.
The scale for lengths is 1 cm : 3 m.
You now square that scale to get the scale of the areas.
Scale of areas:
(1 cm)^2 : (3 m)^2
1 cm^2 : 9 m^2
Answer:
(i) (f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2
Step-by-step explanation:
The given functions are;
f(x) = x² + 3·x + 2
g(x) = x + 1
(i) (f - g)(x) = f(x) - g(x)
∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1
(f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = f(x) + g(x)
∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3
(f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = f(x) × g(x)
∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2
(f·g)(x) = x³ + 4·x² + 5·x + 2
Megan has 40 dollars sense charlene has 8 more dollars and the both have 86
Answer:
39
Step-by-step explanation:
6x-15+3x+6=90
Simplify: 9x-9=90
9x=99
x=11
3(11)+6
33+6
<H= 39
Answer:
7) 8.94
8) 6.71
Step-by-step explanation:
for both questions, use pythagorean theorem
<u>Question 7:</u>
16 + 64 = 
80 =
c = 8.94
<u>Question 8:</u>
36 + 9 =
45 =
c = 6.71
