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Natalka [10]
3 years ago
12

Consider the circle of radius 10 centered at the origin. Find an equation of the line tangent to the circle at the point (6, 8)

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
4 0

Answer:

y = -3/4 x + 25/2

Step-by-step explanation:

x² + y² = 100

Take derivative with respect to x.

2x + 2y dy/dx = 0

2y dy/dx = -2x

dy/dx = -x/y

Evaluate at (6, 8).

dy/dx = -6/8

dy/dx = -3/4

Use point-slope form to write equation:

y − 8 = -3/4 (x − 6)

Simplify.

y − 8 = -3/4 x + 9/2

y = -3/4 x + 25/2

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snow_lady [41]

Answer:

Step-by-step explanation:

If diameter is 14 inches radius = d/2 = 14/2 = 7 inches

Circumference = 2 pi R = 2 × 22/7 × 7

= 44 inches

Area = pi R square = 22/7 × (7)^2

=22/7 × 49

= 154 inches

Hope this helps

7 0
3 years ago
Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl
butalik [34]

Answer:

Midsegment of a Triangle Theorem

Step-by-step explanation:

Midsegment of a Triangle Theorem - is the right choice

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7 0
3 years ago
What is the value of R?
Vinil7 [7]

Answer:

B

Step-by-step explanation:

Subtract 150 from both sides

-5r ≥ -62.5

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r ≤ 12.5

(The greater than sign flips around when you divide or multiply both sides by a negative number)

8 0
2 years ago
Read 2 more answers
The equation p=1.5r graphed find price p, in dollars for r pounds of rice
disa [49]

Answer:

Hope that help you mark me brinilylist

Step-by-step explanation:

Given that 5 pounds of rice at a store cost $6.50.

Then 1 pound of rice at a store cost = $6.50/5= $1.3

So the equation for the cost can be written as:

C=1.3P just like we write equation y=mx

Now we have to graph the cost C, vs pounds of rice.

Variable for Pounds of rice is not given so let it be "P"

So let's make a table for the number of pounds (P) and cost (C)  we can graph the points from that table to get the final graph.

The Attached graph is the final graph.

3 0
2 years ago
Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event
victus00 [196]

Answer:

{A and B are independent events}, P(A|B)=P(A)=0.16

Step-by-step explanation:

First of all we need to know when does two events become independent:

For the two events to be independent,  P(A|B)=P(A) that is if condition on one does not effect the probability of other event.

Here, in our case the only option that satisfies the condition for the events to be independent is  P(A|B)=P(A)=0.16.. Rest are not in accordance with the definition of independent events.

3 0
3 years ago
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