All categories

3 years ago

Find the eqation of the line perpendicular to y=3x-6 that runs through the point (-1, -3)

Mathematics

1 answer:

alexgriva [62]3 years ago

3 0

The coefficient of x in the equation of the given line, 3, is its slope. The slope of the perpendicular line is the negatve reciprocal of that, -1/3. You now have the slope and a point on the perpendicular line, so you can write its equation using the point-slope form:
y = m(x -x₁) +y₁
where m is the slope and (x₁, y₁) is the point.

An equation for your perpendicular line is
y = (-1/3)(x -(-1)) -3
y = (-1/3)x -10/3

The slope-intercept form of the equation of the perpendicular line is ...
y = (-1/3)x -10/3

You might be interested in

In the diagram abc=adb=90, ad=p and dc=q. Use similar triangles to show that x2=pz<br> plzz anyoneee

kramer

Answer:

By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that $x^{2} =pz$

Step-by-step explanation:

Given that ∠ABC=∠ADC, AD=p and DC=q.

Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles

and given ∠ABC=∠ADB=90°

Hence using AA postulate, ΔABC ≈ ΔADB.

Now we will equate respective side ratios in both triangles.

$\frac{AB}{AC}= \frac{AD}{AB}=\frac{BD}{BC}$

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

$\frac{x}{z}= \frac{p}{x}$

Cross multiply

$x^{2}=pz$

Hence proved.

7 0

4 years ago

slope and y-intercept from graphs, I don't know if I am right and I don't know how to finish it even tho I have noted, can someo

Len [333]

Answer:

I think 5 is right and the slope is either -1/2 or -2/1

8 0

3 years ago

Read 2 more answers

Mr. Sánchez has a flowerpot a shape as a rectangular prism the base area of the flowerpot is 72 square inches and the height is

Molodets [167]

Answer:

The total volume of soil needed to completely fill the flower pot is 42 cubic inches

Step-by-step explanation:

Here in this question, we want to calculate the total volume of soil needed to completely fill the flower pot.

Mathematically, this total volume is same as the volume of the flower pot.

The volume of the flower pot is = The base area of the flower pot * height of the flower pot

From the question, the base area of the flower pot is 72 square inches while the height of the flower pot is 7/12 inches

Thus, mathematically by substitution,

the total volume of soil needed = 72 square inches * 7/12 inch = 42 cubic inches

3 0

3 years ago

How Can I solve this. I’m not confident in my answer

sweet [91]

What is it abou that you need help with?

3 0

3 years ago

A study of traffic patterns in a large city shows that if the weather is rainy, there is a 50% probability of an automobile acci

timama [110]

Based on the data given, I would presume that the data will be 75 percent in the chance of also having an accident.
However, data is still insufficient. Thank you for your question. Please don't hesitate to ask in Brainly your queries.

4 0

4 years ago