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2 years ago

Find the equation of the line with the given slope that passes through the given point. Write the

Mathematics

1 answer:

Bond [772]2 years ago

5 0

Answer:

y=-2x-12

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-2(x-(-5))

y+2=-2(x+5)

y=-2x-10-2

y=-2x-12

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C. In (MN) = In M + In N, for M> 0 and N> 0 True or false

melisa1 [442]

That statement is true

8 0

2 years ago

Marlene rides her bicycle to her friend jon's house and returns home by the same route. marlene rides her bike at constant spee

riadik2000 [5.3K]

To solve the problem:

Let f = distance one way distance on level ground

Let h = distance rode on the hill

Write a time equation; where Time = distance/speed:

level time + uphill time + downhill time + level time = 1hr

f/9 + h/6 + h/18 + f/9 = 1 hr

Multiply equation by 18 to get rid of the denominators

2f + 3h + h + 2f = 18

4f + 4h = 18

Simplify by dividing this by 4

f + h = 4.5 miles is took her to get to Jon’s house.

6 0

2 years ago

A lighthouse keeper has a 10 degrees angle of depression between the horizontal light beam and the line of sight from the ship.

Andrei [34K]

107.75m
This is a trigonometric ratio problem. the angle of depression (10) is opposite the height (19m) and the distance is adjacent to the distance (x). opposite ad adjacent sides to the angle is a tangent problem.
$tan \theta = \frac{opp}{adj}$
plus in values, we know.
$tan (10) = \frac{19}{x}$
switch tan(10) and x using the products property.
$x = \frac{19}{tan (10)}$
plug in to calulator to get answer
x=107.75

4 0

2 years ago

Make x the subject of the formula y= b/ax

neonofarm [45]

Answer:

x=b/(ay)

Step-by-step explanation:

To make x the subject of the formula, we basically have to isolate the x.

To do this we first multiply both sides by x.

xy=b/a

Now, to isolate the x, we simply divide by y,

x=b/(ay)

So x=b/(ay) is our answer

8 0

2 years ago

Solve the inequality x divided by 6 is less than or equal to 3

Alja [10]

Your inequality looks like this:
$\frac{x}{6} \leq 3$
To get rid of the /6, you need to multiply by 6 as the opposite operation cancels it out. So, all you need to do is multiply both sides by 6 to isolate x.
Therefore:
$x \leq 18$

6 0

2 years ago