Answer:
each carton of eggs cost $1.71
Step-by-step explanation:
We know she spent a total of $31 at the store.
________
2.25 for 1 box of cake mix
times by 5
11.25 for 5 box of cake mix
________
2.80 for 1 gallons of milk
times by 4
11.20 for 4 gallons of milks
________
add that all up
11.25+11.20=22.45
________
Take away
31-22.45=8.55 that's for 5 cartons of eggs but we want them individually.
so divide by t
8.55÷5=1.71
Answer:
They are congruent figures
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = cos θ + sin(10θ)
y = sin θ + cos(10θ)
Take derivative with respect to θ:
dx/dθ = -sin θ + 10 cos(10θ)
dy/dθ = cos θ - 10 sin(10θ)
Divide:
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))
Evaluate the derivative at θ=0:
dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)
dy/dx = 1/10
Evaluate the parametric functions at θ=0:
x = cos 0 + sin 0 = 1
y = sin 0 + cos 0 = 1
Writing the equation of the tangent line in point-slope form:
y - 1 = 1/10 (x - 1)
Answer:
x = 0, x = - 3
Step-by-step explanation:
Given
5x² - 7x = 4x² - 10 ← subtract 4x² - 10x from both sides
x² + 3x = 0 ← in standard form
Factor out x from each term
x(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
