Answer: perimeter of triangle ABC to the nearest tenth = 27.4
Step-by-step explanation: Given that
vertices are
A(- 4, 5), B(- 4, - 4) , and C(3,-4)
Length AB = root( [-4-5]^2 + [-4+4]^2)
Length AB = sqr(9^2) = 9
Length AC = root( [-4-5]^2 + [3+4]^2)
Length AC = sqr( 9^2 + 7^2)
Length AC = sqr(130) = 11.4
Length BC = root( [-4+4]^2 + [3+4]^2)
Length BC = sqr( 7^2) = 7
Perimeter = 9 + 11.4 + 7 = 27.4
Answer:
(x-3)(x-2)
Step-by-step explanation:
x^2-5x+6
x^2-2x-3x+6
x(x-2)-3(x-2)
(x-3)(x-2)
Exponential form is when a certain number is raised to the power of a certain number or also known as exponents. Exponents signifies that the base or the number that is being raised to a certain powers will be multiplied a number of times, based on the exponents).
Exponential form is defined as repeated multiplication of the base.
Let me express the equation clearly:
lim x→-9 (x²-81)/(x+9)
Initially, we solve this by substituting x=-9 to the equation.
((-9)²-81)/(-9+9) = 0/0
The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.
(2x-0)/(1+0) = 2x = 2(-9) = -18
The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999
((-8.999)²-81)/(-8.999+9) = -18
Answer:
Divide the 1st equation by 2
a + 2c = 19
Divide the 2nd equation by 3
a + c = 13.5
Subtract the 1st equation and the 2nd equation
c = 5.5
Substituting back into the 2nd equation will give:
a + 5.5 = 13.5
a = 8
Step-by-step explanation:
