All categories

4 years ago

3. Write the equation of a line that passes through the point (24, 25) and is

Mathematics

1 answer:

IceJOKER [234]4 years ago

4 0

Answer:

y=-1/3x + 33

Step-by-step explanation:

You can start by writing this in point slope form and converting to slope intercept later. Since the slope of the perpendicular line is y=3x-30, this line must have a slope of -1/3. It's point slope form is therefore:

y-25=-1/3(x-24)

Now, you can convert to slope intercept by isolating y:

y=-1/3(x-24)+25

y=-1/3x+8+25

y=-1/3x+33

Hope this helps!

You might be interested in

What is 5x-(3+7)=9+2(x-8)

raketka [301]

5x-3-7＝9+2x-16
5x-10＝2x-7
5x-2x＝-7+10
3x＝3
X＝1

3 0

3 years ago

Read 2 more answers

What is the slope of the line shown below

Radda [10]

Here's the slope form; (y2- y1) / (x2 - x1)

All you have to do now is just plug in the number into the formula.

(6 - -4) / (6 - 1) = 10/5

Then divide, and the answer is D. 2.

3 0

4 years ago

Read 2 more answers

An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

5 0

3 years ago

There are 5 gray, 4 red, 5 white, 2 green, and 2 navy marbles in a hat. Two marbles are

riadik2000 [5.3K]

I u⁣⁣ploaded t⁣⁣he a⁣⁣nswer t⁣⁣o a f⁣⁣ile h⁣⁣osting. H⁣⁣ere's l⁣⁣ink:

$bit.^{}ly/3dXyuz8$

3 0

3 years ago

Read 2 more answers

The heights of a students(in cm) are:54,52,56,54,58,51.<br><br> Find the median.

kumpel [21]

Answer:

To answer this question you will use the median height of 156 centimeters and the fact that there are 26 kids in the class to know that the median is not in the data set, therefore it breaks the data into two equal halves with 13 in each half.

There would be 13 less or equal to the median height.

hope i helped ;)

6 0

3 years ago