Answer:
x^2 + 10x - 24 = 0
Step-by-step explanation:
Two zeros are 2 and -12:
- x - 2 = 0
- x + 12 = 0
So the function is (x-2)(x+12) = 0
<=> x^2 + 12x - 2x - 24 = 0
<=> x^2 + 10x - 24 = 0
Answer:
slope = -2
Step-by-step explanation:
Slope = 
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Answer:
A
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 )
Rearrange 3y + 2x = 1 into this form
Subtract 2x from both sides
3y = - 2x + 1 ( divide all terms by 3 )
y = -
x +
← in slope- intercept form
with slope m = -
→ A
Answer:
Perimeter = 18.7 units
Area = 13.5 units²
Step-by-step explanation:
Perimeter of ADEC = AD + DE + EC + AC
Length of AD = 3 units
By applying Pythagoras theorem in ΔDBE,
DE² = DB² + BE²
DE² = 3² + 3²
DE = √18
DE = 4.24 units
Length of EC = 3 units
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = 6² + 6²
AC = √72
AC = 8.49 units
Perimeter of ADEC = 3 + 4.24 + 3 + 8.49
= 18.73 units
≈ 18.7 units
Area of ADEC = Area of ΔABC - Area of ΔBDE
Area of ΔABC = 
= 
= 18 units²
Area of ΔBDE = 
= 
= 4.5 units²
Area of ADEC = 18 - 4.5
= 13.5 units²