X+y = 12
x-y = 3
x = 3+y
Substitute it in 1st equation,
3+y+y=12
2y = 9
y = 4.5
Substitute it in 1st eq.,
x = 12-4.5 = 7.5
So, the two numbers are 7.5 & 4.5
Hope this helps!
The given trinomial can be factored using the factorization method.
x² -12x + 35
= x² -7x -5x + 35
= x(x-7) - 5(x-7)
= (x-7)(x-5)
Thus, (x-7)(x-5) is the factored form of the polynomial.
So the correct answer is option B
Answer:
7.211103
Step-by-step explanation:
For:
(X1, Y1) = (-3, 4)
(X2, Y2) = (1, -2)
Distance Equation Solution:
d=(1−(−3))2+(−2−4)2−−−−−−−−−−−−−−−−−−−√
d=(4)2+(−6)2−−−−−−−−−−√
d=16+36−−−−−−√
d=5–√2
d=7.211103
:)
PART A:
Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.
0.000025 = 2.5×10⁻⁵
PART B:
Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵)
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger
PART C:
The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer
PART D:
Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter
PART E:
Laws of exponents that are applied in scientific notation is
xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾
Answer:
Step-by-step explanation:
We have that the polynomial, has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2.
This means the factored form of the polynomial will be.
Also, it was given that, the y-intercept is y=-12.6.
This implies that:
Divide both sides by 18;
Therefore the polynomial is
