Answer:
D) y = -1/2x + 4
Step-by-step explanation:
Points on the graph: (0, 4) and (8, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0 - 4)/(8-0)
m= -4/8
m = -1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 4 = -1/2(x - 0)
y - 4 = -1/2x
y = -1/2x + 4
Answer:
see explanation
Step-by-step explanation:
Assuming you are factoring the expression
Given
4y² + 26y + 30 ← factor out 2 from each term
= 2(2y² + 13y + 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.
product = 2 × 15 = 30 and sum = 13
the factors are 10 and 3
Use these factors to split the y- term
2y² + 10y + 3y + 15 ( factor the first/second and third/fourth terms )
= 2y(y + 5) + 3(y + 5) ← factor out (y + 5) from each term
= (y + 5)(2y + 3)
Thus
4y² + 26y + 30
= 2(y + 5)(2y + 3)
Answer:
Length of the canal on the map is 16.4 centimeters.
Step-by-step explanation:
If actual length of Panama Canal = 20 kilometers
and length of the canal on map = 4 centimeters
Then scale factor =
=
=
If the actual length of Panama Canal = 82 kilometers
Then the length of canal on the map = Actual length × Scale factor
=
= 16.4 centimeters
Therefore, length of the canal on the map is 16.4 centimeters.
Answer:
Step-by-step explanation:
33.414−33.36
=33.414−33.36
=33.414+−33.36
=0.054