Answer:
You didn't say which two answers to choose from but they could possibly be 5^-4, (1/5)^4
Step-by-step explanation:
So what we do is
area that remains=total area-triangle area that was cut out
we need to find 2 things
total area
triangle area
total area=rectange=base times height
area=(3x+4) times (2x+3)
FOIL or distribute
6x^2+8x+9x+12=6x^2+17x+12
triangle area=1/2 times base times height
triangle area=1/2 times (2x+2) times (x-2)=
(x+2) times (x-2)=x^2+2x-2x-4=x^2-4
so
total area=6x^2+17x+12
triangle area=x^2-4
subtract
area that remains=total area-triangle area that was cut out
area that remains=6x^2+17x+12-(x^2-4)=
6x^2+17x+12-x^2+4=
6x^2-x^2+17x+12+4=
5x^2+17x+16
area that remains is 5x^2+17x+16
The distance of the point <span>(8, 3.25) </span>to the x-axis (the horizontal line) is 3.25.
incorrect - A.) is 4.75 away from the x-axis
This one is correct - B.) is 3.25 away from the x-axis
incorrect - C.) is 7 away from the x-axis
incorrect - D.) Actually one of the above answers it correct
Hope this helps
Answer:
Step-by-step explanation:
From the question we are told that
System of equations given as
x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5
Matrix form
Generally the echelon reduction is mathematically applied as
Add -2 times the 1st row to the 2nd row
Multiply the 2nd row by -1/8
Add -1 times the 2nd row to the 3rd row
Multiply the 3rd row by -8/41
Add -1/8 times the 3rd row to the 2nd row
Add -1 times the 3rd row to the 1st row
Add -3 times the 2nd row to the 1st row
Answer:
147
Step-by-step explanation:
Sequence 1:
7 × 1 = 7
7 × 2= 14
7 × 3 = 21
7 × 5 = 35
7 × 7 = 49
Sequence 2:
21 × 1 = 21
21 × 2 = 42
21 × 3 = 63
21× 5 = 105
21 × 7 = 147