1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Klio2033 [76]
2 years ago
8

Radius OA of circle O has a slope of 2.5. What is the slope of the line tangent to circle O to point A?

Mathematics
2 answers:
mixer [17]2 years ago
5 0
The tangent at A is perpendicular to OA, so has a slope that is the negative reciprocal of that of the radius: -1/2.5 = -2/5.
Mekhanik [1.2K]2 years ago
4 0

Answer:  The required slope of the line tangent to the circle at point A is -0.4.

Step-by-step explanation:  Given that the radius OA of a circle with center O has a slope of 2.5.

We are to find the slope of the line tangent to the circle at the point A.

We know that

The radius of a circle at a point on the circumference of a circle is perpendicular to the tangent line at the same point on the circumference of the circle.

Also, the product of the slopes of two perpendicular lines is -1.

So, if m is the slope of the tangent line at the point A, then we must have

m\times 2.5=-1\\\\\Rightarrow m=-\dfrac{1}{2.5}\\\\\\\Rightarrow m=-\dfrac{10}{25}\\\\\Rightarrow m=-\dfrac{2}{5}\\\\\Rightarrow m=-0.4.

Thus, the required slope of the line tangent to the circle at point A is -0.4.

You might be interested in
What is the equation, in point-slope form, for a line that goes through (2, -6) and has
sdas [7]
Answer: D

Explanation:

Point slope form:

(y - y1) = m(x - x1)

Coordinate given = (2,-6)
Slope = 3/5

Thus:
(y -(-6)) = 3/5(x - 2)
y + 6 = 3/5(x - 2)
6 0
3 years ago
the volume of a rectangular prism can be computed using the formula V=lwh what is the width of a prism that has a volume of 240
Anuta_ua [19.1K]
The width would be 4 centimeters
6 0
3 years ago
Find the total surface area for the following. <br>height-3m, length-300 cm and width- 2 cm.​
Delvig [45]

Answer:

Step-by-step explanation:

So the Dimensions are:

Height: 300cm

Length: 300cm

Width: 2cm

SA = 2(H*L)+2(H*W)+2(L*W)

= 180000 + 1200 + 1200

= 182400 cm^{2} OR 18.24m^{2}

6 0
3 years ago
Read 2 more answers
Can someone help me here please!?
Maksim231197 [3]
The answer is A p = 1.6m
7 0
2 years ago
Read 2 more answers
How do I prove that 2 cot 2x = cot x-tan x?
BlackZzzverrR [31]
We will start off working on the right hand side. 
<span>cot x - tan x </span>
<span>= [cos x / sin x] - [sin x / cos x] </span>
<span>= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>

<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
<span>sin 2x = 2 sin x cos x </span>

<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>

<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>= [cos 2x] / (1/2)[sin 2x] </span>
<span>= 2[cos 2x] / [sin 2x] </span>
<span>= 2cot 2x </span>
7 0
3 years ago
Other questions:
  • A carpenter divide the board that is 3.5 inches wide into 4 pieces of equal width by cutting it in 3 places. if the width of her
    14·1 answer
  • Marisol is preparing a care package to send her brother the package will include a board game that weighs 4 lb in several 1/4 lb
    12·2 answers
  • 400% of what number is 80?
    8·2 answers
  • Write an equation in slope-intercept form for the line that satisfies the following condition.
    6·1 answer
  • What’s 1\2 x 11\12 I’m sorry this may be an easy question but I just wanted to see if this really works
    11·1 answer
  • Can’t figure this one out
    5·1 answer
  • BRAINLIEST TO BEST ANSWER :D
    6·2 answers
  • Can someone pls help me with this
    6·1 answer
  • a crew is picking up chairs in the gymnasium after an event. after clearing 217 chairs from the gym floor, 36 chairs still remai
    6·1 answer
  • Please find the equation of the circle (ignore what is entered).
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!