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daser333 [38]
1 year ago
7

Find the midpoint of the segment with the following endpoints. (5, 5) and (10, 1)

Mathematics
1 answer:
irga5000 [103]1 year ago
6 0

Answer:

(7.5,3)

Step-by-step explanation:

(  (x_1 + x_2)/2, (y_1 + y_2)/2  ) <--Midpoint formula

(5,5) and (10,1) are where you take the x and y values from. The x_1 and y_1 values come from (5,5) and x_2 and y_2 from (10,1).

this gives you (  (5+10)/2, (5+1)/2  )

=( 15/2, 6/2 )

=(15/2, 3)

= or (7.5, 3)

Both bold answers equal the same thing, just depends on if your teacher is asking for it in mixed number form or decimal form.

By the way, I realize it's confusing so the _ is just to show that the following number would be subscript (brainly won't let me show it, so I suggest searching it online if you are still confused..)

Hope this helps!

You might be interested in
The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
3 0
3 years ago
The angle of depression from a balloon on a 75ft string to a person on the ground is 36°. How high is the balloon?
Rainbow [258]

Answer:

Step-by-step explanation:

sin36=h/75

h=75sin36

h=44.08ft

5 0
3 years ago
Hay dos números. La suma de ellos es 13 y la suma de los cuadrados es
AleksandrR [38]

Answer:

7 ; 6

Step-by-step explanation:

7 0
3 years ago
Solve for p: 6p + 6 = 13 + 5p
Ivan

Answer:

p equals 7

Step-by-step explanation:

6p + 6 = 13 + 5p

you subtract 6 from 13 and 5p from 6p

p = 7

7 0
3 years ago
Read 2 more answers
When asked to state the simple linear regression model, a student wrote it as follows: E(Yi) = βo + β1Xi + ei . Do you agree? Ex
Viktor [21]

Answer:

No. See the explanation below.

Step-by-step explanation:

No. When we have the lineal model given by:

Y_i = \beta_0 +\beta_1 X_i +\epsilon_i , i = 1,....,n

For n observations, where y represent the dependent variable, X represent the independent variable and \beta_0, \beta_1 are the parameters of the model, we are assuming that \epsilon is and independent and identically distrubuted variable that follows a normal distribution with the following parameters e\sim N(\mu=0,\sigma^2).

So then the expected value for any error term is E(\epsilon_i) =0, i =1,...,n

So then if we find the expected value for any observation we have this:

E(Y_i) = E(\beta_0 +\beta_1 X_i +\epsilon_i) , i = 1,....,n

Now we can distribute the expected value on the right by properties of the expected value like this:

E(Y_i) = E(\beta_0) +E(\beta_1 X_i) +E(\epsilon_i), i =1,...,n

By properties of the expected value E(aX) =aE(X) if a is a constant and X a random variable, so then if we apply this property we got:

E(Y_i) = \beta_0 +\beta_1 E(X_i) +0 ,i=1,...,n

E(Y_i) =\beta_0 +\beta_1 X_i, i=1,.....,n

And if we see that'ts not the result supported by the claim for this reason is FALSE the statement.

5 0
3 years ago
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