Answer:
y = -5x + 6
Step-by-step explanation:
y = 1/5 x + 4/5
so that two lines are perpendicular, its slope must be opposite and reciprocal
y = m x + b
m: slope perpendicular -1/m
if our formula is y = 1/5 x + 4/5
m = 1/5
so the slope of our new formula will be
m' = -5/1
m' = -5
now if you tell us that you have to go through a certain point (1/1)
we just have to replace the values in the following formula and solve
y - y1 = m ( x - x1)
y - 1 = -5 ( x - 1)
y = -5x + 5 + 1
y = -5x + 6
Answer:
The distance the marina can travel = = 48 miles
Step-by-step explanation:
The rate going out against the current is = u - v = 20
The rate going out with the current is = u + v = 30
Let the distance traveled by the motorboat =
Total time the boat can travel = 4 hours
⇒ Total time = ( Time taken by boat to go against the current ) + ( Time taken by boat to go with the current )
⇒ 4 =
⇒ 4 =
⇒ 4 =
⇒ = 48 miles
This is the distance the marina can travel.
Angle 1 is a "corresponding angle" with respect to the one marked 155°, so it has the same measure. The measure of angle 1 is ...
... 155°
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
<h3>What inequality represents the figure</h3>
In accordance with the figure, we have an inequation of the form y ≥ f(x). Now we proceed to find the <em>quadratic</em> equation of the parabola:
f(x) = a · (x + 1) · (x - 9)
- 125 = a · (4 + 1) · (4 - 9)
- 125 = a · 5 · (- 5)
- 125 = - 25 · a
a = - 5
f(x) = 5 · (x + 1) · (x - 9)
f(x) = 5 · (x² - 8 · x - 9)
f(x) = 5 · x² - 40 · x - 45
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
To learn more on inequalities: brainly.com/question/17675534
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8x + 16 = 8( x + 2)
6x + 12= 6( x + 2)
8(x + 2). times 4x
2o 6( x + 2)
cancel (x + 2)
8 times 4x = 32x simplify = 4x
20 6 120 15