Answer:Contrapositive of a Statement , if A then B, states that, if not B ,then not A.
In the statement given:
A= A triangle is Equilateral
B=then the triangle is Isosceles.
So,→→Contrapositive of the statement, If A, then B will be ,not B,then Not A
Not B= The triangle is not Isosceles
Then ,Not A= the triangle is not equilateral.
→→Figure A, matches with "Contrapositive of the statement “if it is an equilateral triangle, then it is an isosceles triangle”
=
Answer:
x=7.5
y=1.5
Step-by-step explanation:
subtract x from both sides
combine like terms
subtract 1.8 from both sides
divide both sides by 0.3
x=7.5
y=1.5
Answer:
there is no question below therefore, we can't answer it
Answer:
Step-by-step explanation:
Answer:
a) y-8 = (y₀-8) , b) 2y -5 = (2y₀-5)
Explanation:
To solve these equations the method of direct integration is the easiest.
a) the given equation is
dy / dt = and -8
dy / y-8 = dt
We change variables
y-8 = u
dy = du
We replace and integrate
∫ du / u = ∫ dt
Ln (y-8) = t
We evaluate at the lower limits t = 0 for y = y₀
ln (y-8) - ln (y₀-8) = t-0
Let's simplify the equation
ln (y-8 / y₀-8) = t
y-8 / y₀-8 =
y-8 = (y₀-8)
b) the equation is
dy / dt = 2y -5
u = 2y -5
du = 2 dy
du / 2u = dt
We integrate
½ Ln (2y-5) = t
We evaluate at the limits
½ [ln (2y-5) - ln (2y₀-5)] = t
Ln (2y-5 / 2y₀-5) = 2t
2y -5 = (2y₀-5)
c) the equation is very similar to the previous one
u = 2y -10
du = 2 dy
∫ du / 2u = dt
ln (2y-10) = 2t
We evaluate
ln (2y-10) –ln (2y₀-10) = 2t
2y-10 = (2y₀-10)
Answer: 13
Step-by-step explanation:
1. Harry has 20/20 sweets
2. Nadia takes 7/20 sweets
3. Your left with 13/20
