Answer:
$4.25
Step-by-step explanation:
Simple, 12.50 divided by four is 4.25. Meaning the answer is $4.25.
<u>Answer</u>
Ann factored it correctly
Max did not factor it completely
The correct factorization is as shown.
<u>Explanation</u>
4x² − 6x − 4
The product of this equation = 4 × -4
= -16
Sum = -6
<em>Find 2 numbers that you can multiply to get -16 and when you add the same numbers you get -6.</em>
The numbers are: -8 and 2
4x² − 6x − 4 = 4x² -8x + 2x − 4
= (4x² - 8x) + (2x − 4)
= 4x(x - 2) + 2(x - 2)
= (x - 2)(4x + 2)
= 2(x - 2)(2x + 1)
Answer:
x₁ = 1866.2 yd distance between ship and searchlight in C
x₂ = 2542.5 yd . distance between ship and searchlight in B
Step-by-step explanation:
The ship (point A) and the two searchlights points ( B and C) shape a triangle.
We have α = 38° ( opposite side x₁ or distance between ship and point C and β = 57 ° ( opposite side x₂ or distance between ship and point B then γ = 180 - ( α + β )
γ = 85°
Applying sin´slaw
x₁ / sin 38 = x₂/ sin57 = 3020 / sin 85
from sin table we find:
sin 38 = 0.6156
sin 57 = 0.8387
sin 85 = 0.9962
Then
x₁ / 0.6156 = 3020 / 0.9962
x₁ ( the opposite side to angle 38° ) / 0.6156 = 3031.5
x₁ = 3031.5*0.6156
x₁ = 1866.2 yd
x₂ = 3031.5 * 0.8387
x₂ = 2542.5 yd
Zero slope is y=#
ex. y=5 or y=127 It can be any number
It would be a horizontal line
Undefined slope is x=#
ex. x=22 or x=1 Again it can be any number
It would be a vertical line