1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mamont248 [21]
3 years ago
8

What is the formula to find an endpoint when you are given one endpoint and the midpoint?

Mathematics
1 answer:
telo118 [61]3 years ago
5 0

Answer:

Step-by-step explanation:

If S is the midpoint of R and S and the coordinate R(-9, 4) and S(2, -1), we are to find T.

Usimg the midpoint formula;

M(X, Y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\ where; X = \frac{x_1+x_2}{2}\\Y = \frac{y_1+y_2}{2}

Given x_1 = -9, y_1 = 4, X = s \ and \ Y = -1, to get the other coordinate T (x2, y2), we will use the formula above as shown;

X = \frac{x_1+x_2}{2}\\2 = \frac{-9+x_2}{2}\\cross \ multiply\\2*2 = -9+x_2\\4 = -9+x_2\\x_2 = 4+9\\ x_2 = 13

Similarly to get y2;

Y = y1+y2/6

-1 = 4+y2/2

cross multiply

-1*2 = 4+y2

-2 = 4+y2

y2 = -2-4

y2 = -6

Hence the coordinate T is (13, -6)

You might be interested in
Solve and graph the inequality 16x<-64
WITCHER [35]

Answer:

75 po ang sagot

Step-by-step explanation:

pa brailess 1x po pls

7 0
2 years ago
Read 2 more answers
A high school principal wishes to estimate how well his students are doing in math. Using 40 randomly chosen tests, he finds tha
ollegr [7]

Answer:

99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Step-by-step explanation:

We are given that a high school principal wishes to estimate how well his students are doing in math.

Using 40 randomly chosen tests, he finds that 77% of them received a passing grade.

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

                          P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of students received a passing grade = 77%

           n = sample of tests = 40

           p = population proportion

<em>Here for constructing 99% confidence interval we have used One-sample z proportion test statistics.</em>

So, 99% confidence interval for the population proportion, p is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99  {As the critical value of z at 0.5%

                                           level of significance are -2.5758 & 2.5758}  

P(-2.5758 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 2.5758) = 0.99

P( -2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

P( \hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

<u>99% confidence interval for p</u> = [\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

 = [ 0.77-2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } } , 0.77+2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } } ]

 = [0.5986 , 0.9414]

Therefore, 99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Lower bound of interval = 0.5986

Upper bound of interval = 0.9414

6 0
2 years ago
Determine the area of the figure. Use 3.14 for r. Round to the nearest
andrew-mc [135]
So, I need more details, is 3.14 the radius or is 100 the radius. Or is it the diameter???
6 0
2 years ago
2) Mary and Frank combine the marbles into one bag to do an experiment where they
IceJOKER [234]
If someone types a link dont go to it,they use them to find your address
8 0
3 years ago
Abby is touring China for four days. The car rental is $38.15 per day plus 12 1/2 cents per mile. If Abby drives 380.5 miles, ho
abruzzese [7]

Answer:

200.1625

Step-by-step explanation:

38.15 × 4 + .125 × 380.5

4 0
3 years ago
Read 2 more answers
Other questions:
  • You must always____your sources.<br> a. cite<br> b. site<br> c. sight<br> d. cight
    9·1 answer
  • Help please and explain
    7·1 answer
  • A swimmer swam 48 kilometers in d days. What is the value of d the swimmer swam an average of average of 3.2 kilometers daily?
    10·1 answer
  • The graphs below are both cubic functions. The equation of the blue graph is F(x)=x^3. What is the equation of the red graph?​
    7·1 answer
  • Lily wants to save $150 for a trip to the Six Flags amusement park. If she saves $12 each week,how many weeks will it take her t
    9·1 answer
  • HELPPPPPP PLEASE I’m confusedddddd
    11·1 answer
  • Which steps could be used to solve this equation?
    6·1 answer
  • Please help! Please explain and actually help!
    14·2 answers
  • Describe the relationship between the area of a parallelogram and the area of a triangle if they have the same base and the same
    6·1 answer
  • What is the simplest form of the radical expressio √48x^4y^3? Assume x and y are positive.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!