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3 years ago

What is an equation of the line that passes through the point (-4,-3) and is perpendicular to the line 2x+3y=15

Mathematics

1 answer:

Katen [24]3 years ago

5 0

Answer:

The equation would be y = 3/2x + 3

Step-by-step explanation:

First we have to find the slope of the original line. We can do this by solving for y.

2x + 3y = 15

3y = -2x + 15

y = -2/3x + 5

Now that we have the slope of -2/3, we know the slope of the new line will be 3/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use that and a point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 3 = 3/2(x + 4)

y + 3 = 3/2x + 6

y = 3/2x + 3

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Select True or False.

NISA [10]

the answer is false hopes this helps

3 0

2 years ago

Read 2 more answers

Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const

Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration $a_a$ , we have the following equation of motion

$s/4 = a_at_a^2/2$

where s (m) is the total distance, ta = 3 s is the time

$s = 4a_a3^2/2 = 18a_a$

$a_a = s/18$

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration $a_k$ , we have the following equation of motion:

$s/3 = a_kt_k^2/2$

tk = 4 s is the time

$s = 3a_k4^2/2 = 24a_k$

$a_k = s/24$

Since $a_a = s/18$ we can conclude that $a_a > a_k$ , so Alison would win.

The time it takes for Alison to cover the entire track

$s = a_aT_a^2/2$

$T_a^2 = 2s/a_a = 2s/(s/18) = 36$

$T_a = \sqrt{36} = 6 s$

The time it takes for Kevin to cover the entire track

$s = a_kT_k^2/2$

$T_k^2 = 2s/a_k = 2s/(s/24) = 48$

$T_a = \sqrt{48} = 6.93 s$

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0

3 years ago

42:15 = What is the ratio

vfiekz [6]

The ratio is 14:5, as 42 divided by 3 is 14 and 15 divided by 3 is 5.

8 0

2 years ago

Finding interior angles of triangles

AnnZ [28]

Answer:

A triangle is 180 degrees. Imagine that two angles would be given as maybe 89 and 30 degrees. With these two angles already given you can find the last third angle by adding the 2 given angles and subtracting it from 180. There fore it would look like 180-119=61. 61 would be your unknown angle degree.

If you meant something else please comment I will help you more.

7 0

2 years ago

Find the perimeter of an isosceles triangle ABC. Side AB=4, and the base BC=3. Angles B & C are both 70 degrees.

MA_775_DIABLO [31]

Answer:

11 units

Step-by-step explanation:

Since ∆ABC is isosceles, it means that at least two sides are congruent/equal in length.

Sides CA and AB are congruent, since BC is the base. So, CA = 4.

That means the perimeter is 4 + 4 + 3 = 11 un

5 0

3 years ago