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:
(y-6)/6 = x
Step-by-step explanation:
y+4x=10x-6
Subtract 4x from each side
y+4x-4x=10x-4x-6
y = 6x-6
Add 6 to each side
y +6 = 6x-6+6
y+6 = 6x
Divide by 6
(y-6)/6 = 6x/6
(y-6)/6 = x
The average rate of change is given by [f(b) - f(a)]/(b - a), where a and b represent the interval [a, b].
Let a = -2
Let b = -1
[(-1)^2 + 10 - ((-2)^2 + 10)]/(-1 -(-2))
[1 + 10 - (4 + 10)]/(-1 + 2)
[1 + 10 -4 -10]/(1)
[1 - 4]/(1)
-3/1
Answer: -3
It can be helpful to remember that "%" is just a shorthand way to write "/100" (divided by 100, or per 100, or per cent). ("Cent" is often used to refer to 100 or 1/100. A "cent" is 1/100 of a dollar, or 1/100 of an acre, for example. A <em>cent</em>ury is 100 years.)
Make the denominator of your fraction be 100. Multiply numerator and denominator by 20/20.
(2/5)×(20/20) = 40/100 = 40%
You can also get there via decimals.
... 2/5 = 0.4 = 0.40 (40 hundredths) = 40/100 (40 hundredths) = 40%
Or, you can multiply by 100%.
... (2/5)×(100%) = (200/5)% = 40%
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