A) by completing the square... X^2-8x+16+20-16 = (x^2-4)^2 +20-16=(x^2-4)+4
B) Since the coefficient of x^2 is positive, it is a quadratic function which increases positively. You know that it will always be above the x axis and therefore positive since the vertex is at (4,4) and increasing
<u>Given</u><u> </u><u>:</u><u>-</u>
- A linear Question is given to us .
- The equⁿ is
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
<u>Solu</u><u>tion</u><u>:</u><u>-</u>
Taking the given equⁿ :
<u>Some</u><u> </u><u>rules</u><u> </u><u>:</u><u>-</u>
On transposing numbers or variables,
- Plus changes to minus.
- Minus changes to plus .
- Multiply changes to divide.
- Divide changes to multiply.
Answer:
The answer is 35.5 square units
Step-by-step explanation:
The shape represents a rectangle, a small triangle removed from it at the upper right corner and a bigger triangle is attached to it at the upper left corner.
We get this formula:
A(shape) = A(rectangle) - A(small triangle) + A(big triangle)
SO LET'S FIND EACH!
A(rectangle)= length x width
length= 8 units
width= 4 units
We get:
A(rectangle) =8x4= 32 square unit
A(small triangle)= (base x height)/2
base= 1 unit
height= 1 unit
We get:
A(small triangle) = (1x1)/2 = 1/2 = 0.5 square units
A(big triangle)= (base x height)/2
base= 2 units
height= 4units
We get:
A(big triangle)= (2x4)/2 = 8/2 = 4 square units
For the final result:
A(shape) = 32 - 0.5 + 4 = 35.5 square units
Answer:
-5_6 )(
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
15/25 = x/100
0.60 = x/100
0.60 * 100 = x
60 = x
25 * 60% = 15
