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MakcuM [25]
3 years ago
9

Find the distance between the points with the given coordinates (-8,-6),(4,10)​

Mathematics
2 answers:
fgiga [73]3 years ago
8 0

Answer: 20

Step-by-step explanation: Draw lines connecting (-8,-6),(4,10) and a hypotenuse line across so you should have a triangle. (I am assuming you have done this before) Then you use the Pythagorean Theorem to calculate the hypotenuse of the triangle you just drew.

a^{2} +b^{2} =c^{2} \\12^{2} 16^{2} =400\\\sqrt{400} =20

Serggg [28]3 years ago
3 0

Hello from MrBillDoesMath!

Answer:

20

Discussion:

Let (x1,y1) = (-8, -6) and (x2,y2) = (4,10). Per the distance formula,

Distance = sqrt (  (x1-x2)^2 + (y1-y2)^2 )  so

Distance = sqrt (  (-8-4)^2 + (-6-10)^2 )

                = sqrt( (12)^2 + (-16)^2 )

                = sqrt( 144     + 256 )

                = sqrt(400)

                = 20

Thank you,

MrB

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(-3+7i)(1-2i) can you help me with the answer to this
lozanna [386]

Answer:

11 + 13i

Step-by-step explanation:

A must know is that

\sqrt{i}  =  - 1

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1st: foil the equations

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- 3 + 6i + 7i- 14 {i}^{2}

2nd Combine like terms and substitute

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4 0
2 years ago
What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
-BARSIC- [3]

Answer:

Step-by-step explain

Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :

A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)

If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.

For the given function, there is no horizontal asymptote.

We can find the slant asymptote by using long division:

(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))

The slant asymptote is y=3/2x+3/4

6 0
3 years ago
Read 2 more answers
Using the chart above, find the total amount and amount of interest paid in the following compound interest problems.
gizmo_the_mogwai [7]

Answer:

Annually: Total Amount = 1611.76, Interest Amount = 711.76

Semiannually: Total Amount = 1625.50 , Interest Amount = 725.50

Quarterly: Total Amount = 1632.62 , Interest Amount = 732.62

Step by Step Explanation:

We can see from the table that the factor that we need to multiply with 900 in order to get amount for compounded annually is 1.7908477. Therefore, our total amount is 1.7908477*900 = 1611.76 and interest earned is 1611.76-900 = 711.76.

The factor that we need to multiply with 900 in order to get amount for compounded semiannually is 1.8061112. Therefore, our total amount is 1.8061112*900 = 1625.50 and interest earned is 1625.50-900 = 725.50.

The factor that we need to multiply with 900 in order to get amount for compounded semiannually is 1.8140184. Therefore, our total amount is 1.8140184*900 = 1632.62 and interest earned is 1632.62-900 = 732.62.

6 0
4 years ago
Which expression is equivalent to<br> 0 +<br> 2<br> 29<br> C+3<br> C+2<br> C+3<br> C+2
Kryger [21]

Answer:

C+3

Step-by-step explanation:

6 0
3 years ago
What is the solution for 0.75x + 1.5 =10?
Reil [10]

Answer:

11.333333333333 (repeated)

Step-by-step explanation:

1.5 and 10 are like terms, so you need to put them together and keep x on one side by itself. This means that you need to subtract 1.5. The new equation will be .75x = 8.5. Then, you divide by .75. This will then give you the final result, x = 11.3 repeated

6 0
3 years ago
Read 2 more answers
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