Please help me with this problem!!!!!
1 answer:
Answer:
y + 20 = 9(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 20) and (x₂, y₂ ) = (9, 79)
m = =
= 9
Using (a, b) = (- 2, - 20), then
y - (- 20) = 9(x - (- 2)), that is
y + 20 = 9(x + 2)
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Answer:
(1, -1), (5, -3)
Step-by-step explanation:
It is convenient to graph the solution space and plot the points.
You can also try the points in the inequality one by one (or all together).
_____
Here is the "all together" trial.
... {-3, 12, -2, -1, -3} - 2×{-6, 7, 0, 1, 5} ≤ -3 . . . . . use lists for x and y values
... {-3, 12, -2, -1, -3} - {-12, 14, 0, 2, 10} ≤ -3 . . . . multiply the x list by 2
... {9, -2, -2, -3, -13} ≤ -3 . . . . . . . . . . . . . . . . . . . . perform the subtraction
The inequality is true for the last two values, corresponding to points ...
... (1, -1) and (5, -3)
Answer:
The sound intensity is about 101.9 dB
Step-by-step explanation:
Sound intensity is the amount of sound energy per unit area.
The intensity of the dog bark is 10⁻⁵ W/in². The intensity of sound in decibels is given by:
I = 10⁻⁵ W/in² = 0.0155 W/m²
Therefore:
The sound intensity is about 101.9 dB