Find the missing endpoint given one endpoint and midpoint
endpoint-(6,-10) midpoint (-1,2)

Answers

Answer 1
Answer: endpoint: \ ( x_(2),y_(2))= (6,-10) , \n midpoint : \(x,y)=(-1,2) \n\nMindpoint \ Formula : \n (x,y)=\left ( (x_(1)+x_(2) )/(2), \frac{y_ {1}+y_(2) }{2} \right )\n\n(-1,2)=\left ( (x_(1)+ 6 )/(2), \frac{y_ {1}-10 }{2} \right )

\begin{cases} (x_(1)+ 6 )/(2)= -1 \ \ /\cdot 2 \n \frac{y_ {1}-10 }{2} =2 \ \ / \cdot 2 \end{cases}\n\n\begin{cases} x_(1)+ 6 =-2 \n y_ {1}-10 =4 \end{cases}\n \n\begin{cases} x_(1) =-2-6 \n y_ {1} =4+10 \end{cases}\n \n\begin{cases} x_(1) =-8\n y_ {1} =14 \end{cases} \n \nAnswer : \ second \ endpoint : \ (x_(1),y_(1))=(-8,14)


Related Questions

The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step.9x2 +54x = 7 9(x2 + 6x) = 7 9(x2 + 6x + 9) = 7 + ?
How to change 4.1 into a decimal?
Divide 132kg in a ratio of 3:3:5
What is the square root of 49 multiplied by the square root of 9
Is the product of 1/2 x 1/2, larger, smaller or the same size as 1/2?

If y = 3 when X = -9 find X when y =5

Answers

We don't have enough information to answer that question.

You haven't told us anything about how 'y' depends on 'x',
or how 'y' reacts to a change in 'x'.

If we think about it in terms of a graph, you've given us one point
on the graph . . . the point  (-9, 3).  In order to answer the question,
we need to know something about the line that goes through the
point.  But you haven't told us anything about that, and there are
an infinite number of different lines that can go through one point.

What is the unit rate for the proportional relationship represented by the equation y=4/5xAnswer choices:
A:4/5
B:-2
C:4
D:5

Answers

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

We have given that,

the unit rate for the proportional relationship is represented by the equation y=4/5x.

We have to determine the unit rate

What is the equation of proportionality?

The equation for proportionality is y = kx, where k is the constant of proportionality.

So in y = 4/5x,

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

To learn more about the proportionality visit:

brainly.com/question/24868934

#SPJ2

Answer:

A: 4/5

Step-by-step explanation:

The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.

So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.

A parking garage charges $2 for the hour and $1 each additional hour. Fran has $9.90 to spend for parking. What is the greatest number of hours Fran can park

Answers

Answer:

Frank can park 8.9 hours at the highest

Step-by-step explanation:

Here, we want to know the greatest amount of time that Frank can park given the amount he has to spend on parking.

From the question, we are told that he pays $2 for the hour and an extra $1 per additional hour.

Now, let the number of additional hour he is going to park be x. The bill for the additional hours will be ; $1 * x = $x

By adding this to the initial $2, we have the total $9.90

So, mathematically;

2 + x = 9.90

x = 9.9 -2

x = 7.9 hours

Now, the initial hour he parked is 1 hour + number of incremental hours = 1 + 7.9 = 8.9 hours

Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, herclass collected 2 tops. On the third day, her class collected 8 tops. Let D represent each collection
day and N represent the number of tops collected on that day.
Based on the situation, John claims the number of tops collected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
is the number of tops collected on the sixth day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?

Answers

Given:

Day        Tops
1               2
2               ?
3               8

Exponential model:
d(x) = 2^x
d(6) = 2⁶ = 2 x 2 x 2 x 2 x 2 x 2 = 64 tops

LInear:
d(x) = 2 + 2x
d(6) = 2 + 2(6)
d(6) = 2 + 12
d(6) = 14 tops

Answer:

Exponential: 64

Linear: 17

Explanation:

I know this is right because I got it wrong and it showed me the answer.

The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?x = –1 and x =

Answers

If you would like to find the roots of the function f(x) = x^2 - 2 * x - 3, you can calculate this using the following steps:

f(x) = x^2 - 2 * x - 3 = (x - 3) * (x + 1)
1. x = - 1
2. x = 3

The missing number would be 3.

The missing value is 3 because roots of the function f(x) = x2 – 2x – 3 are -1 and 3

What is a quadratic equation ?

Any equation of the form \rm ax^2+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = (-b \pm√(b^2-4ac))/(2a)

We have a function:

f(x) = x² – 2x – 3

Equate the function to zero;

f(x) = 0

x² – 2x – 3 = 0

a = 1, b = -2, c = -3

\rm x = (-(-2) \pm√(-2^2-4(1)(-3)))/(2(1))

After simplification:

\rm x = (2 \pm√(16))/(2)

x = 3  or x = -1

Thus, the missing value is 3 because roots of the function f(x) = x2 – 2x – 3 are -1 and 3

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ5

Dan runs 8 miles in 84 minutes. At the same rate how many minutes would be take to run 6 miles

Answers

Answer:

63 minutes

Step-by-step explanation:

Set up a ratio equation.

(8 miles/84 minutes should be equal to 6 miles/x amount of minutes). Set the two fractions equal to each other and solve for x by cross multiplying.

Answer: It will take Dan 63 minutes to run 6 miles.

Step-by-step explanation:

(8)/(6)  = (84)/(x)  do  cross product.

8x = 504

x= 63