MATHEMATICS COLLEGE

Find the distance between (-8, -2)
and 6, -1)

Answers

Answer 1
Answer:

The distance between the given coordinate points is √(197) units.

The given coordinate points are (-8, -2) and (6, -1).

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x_1, y_1) and (x_2, y_2) is Distance = √((x_2-x_1)^2+(y_2-y_1)^2).

Substitute (x_1, y_1)=(-8, -2) and (x_2, y_2)=(6, -1) in distance formula, we get

Distance = √((6+8)^2+(-1+2)^2)

Distance = √((14)^2+(1)^2)

Distance = √(196+1)

Distance = √(197) units

Therefore, the distance between the given coordinate points is √(197) units.

To learn more about the distance formula visit:

brainly.com/question/27262878.

#SPJ3
Answer 2
Answer:

Answer:

-8,-2= 6

6,-1=7

Step-by-step explanation:

get a number line and use that to it and look up how to use a number line with negative numbers it’s not hard once you see how it’s done

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Please help!!! Will mark brainliest!!!!!!!! Dan wants to determine the probability that the republican on the ballot will be elected mayor of his town. He surveys a random sample of 25 people in the town who are registered to vote. Based on this data, the republican on the ballot has a 36% probability of being elected. Dan now wants to gauge the variation in predictions, to determine how accurate this probability may be. Which if the following would be the best method for him to do this?A) Ask the same 25 people he originally surveyed to make sure they are convinced of their choices


B) Survey several more random samples of 25 people each from people in the town who are registered to vote



C) Survey serveral more random samples of 25 people each from the Republican voters in town


D) Survey a random sample of 25 people who are registered to vote in another town

Answers

so the answer is C because 25 people each from republican.

BRAINLIEST AND FIVE STARS TO CORRECT ANSWER

Answers

Note that the first function is f(x) = 4 for x less than 2  and for the second function f(x) = -1 for x greater than or equal to 2  

So the limit as x approaches two from the left is 4 and the limit as x approaches 2 from the right is -1.

so looks like you would need the third choice:  4; -1

Solve for the indicated variable in each math formula. 1.C=2(3.14)r for r 2.A=1/2bh for b 3.y=Mx+b for x 4.A=1/2(a+b)h for h 5.V(3.14)r(r)h for h

Answers

Answer:

See below

Step-by-step explanation:

1.  C = 2(3.14) for r

   r = C / 3.28

2.  A = 1/2 b h  for b

    b = A2 / h

3.  y = Mx + b for x

    y - b = Mx

    x = (y - b) / M

4.  A = 1/2 (a + b) h for  h

    A = (1/2a + 1/2b)h

    A = 1/2ah + 1/2bh

    A = (a + b) h / 2

    h = 2A / (a + b)

5.  V = (3.14) r² h  for h

   h = V / (3.14 r²)

You can make $25 for every 2 hours you work If you work for 10 hours how much will you make?

Answers

Answer:

125

Step-by-step explanation:

The answer is 125 because 25x5=125 but to get there you needed to do 2x5=10

Find the complete time-domain solution y(t) for the rational algebraic output transform Y(s):_________

Answers

Answer:

y(t)= 11/3 e^(-t) - 5/2 e^(-2t) -1/6 e^(-4t)

Step-by-step explanation:

Y(s)=(s+3)/((s^2+3s+2)(s+4)) + (s+3)/(s^2+3s+2) +(1)/(s^2+3s+2)

We know that s^2+3s+2=(s+1)(s+2), so we have

Y(s)=(s+3+(s+3)(s+4)+s+4)/((s+1)(s+2)(s+4))

By using the method of partial fraction we have:

Y(s)=(11)/(3(s+1)) - (5)/(2(s+2)) -(1)/(6(s+4))

Now we have:

y(t)=L^(-1)[Y(s)](t)

Using linearity of inverse transform we get:

y(t)=L^(-1)[(11)/(3(s+1))](t) -L^(-1)[(5)/(2(s+2))](t) -L^(-1)[(1)/(6(s+4))](t)

Using the inverse transforms

L^(-1)[c(1)/(s-a)]=ce^(at)

we have:

y(t)=11/3 e^(-t) - 5/2 e^(-2t) -1/6 e^(-4t)

Solve for x x/10+5=−1

x=​

Answers

Answer:

x=-60

Step-by-step explanation:

You solve for x by simplifying both sides of the equation, then isolating the variable.
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