When a curve and a line meet at a point, are their gradient equal?

Mathematics

1 answer:

Natali [406]3 years ago

4 0

Check the picture below.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

well, by the definition of a derivative, the slope at the point is f'(a), and any tangent line going through it will also have the same exact slope, keeping in mind that a straight line has a constant slope.

You might be interested in

How are percent error and percent change similar

mihalych1998 [28]

Percent Change = New Value − Old Value|Old Value| × 100%

Example: There were 200 customers yesterday, and 240 today:

240 − 200|200|× 100% = 40200 × 100% = 20%

A 20% increase.

Percent Error = |Approximate Value − Exact Value||Exact Value| × 100%

Example: I thought 70 people would turn up to the concert, but in fact 80 did!

|70 − 80||80| × 100% = 1080 × 100% = 12.5%

I was in error by 12.5%

(Without using the absolute value, the error is −12.5%, meaning I under-estimated the value)

The difference between the two is that one states factual calculations and the other is a theoretical guess

5 0

3 years ago

Pleaseee help me with number eight,, I don’t know how to do it at all.

iogann1982 [59]

1,200 because 4x 3 is 12 and 40 x 30=1,200

5 0

3 years ago

Which expression shows that the quotient

Harrizon [31]

Answer:

Option (2)

Step-by-step explanation: