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
Maksim231197 [3]
3 years ago
6

5. Mis the midpoint of CD. C has coordinates (-1,-1) and

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer/Step-by-step Explanation:

4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Let A(-2, -3) = (x_1, y_1)

B(1, 2) = (x_2, y_2)

Thus:

M(\frac{-2 + 1}{2}, \frac{-3 + 2}{2})

M(\frac{-1}{2}, \frac{-1}{2})

5. Given M(3, 5) as midpoint of CD, and C(-1, -1),

let C(-1, -1) = (x_2, y_2)

D(?, ?) = (x_1, y_1)

M(3, 5) = (\frac{x_1 +(-1)}{2}, \frac{y_1 +(-1)}{2})

Rewrite the equation to find the coordinates of D

3 = \frac{x_1 - 1}{2} and 5 = \frac{y_1 - 1}{2}

Solve for each:

3 = \frac{x_1 - 1}{2}

3*2 = \frac{x_1 - 1}{2}*2

6 = x_1 - 1

6 + 1= x_1 - 1 + 1

7 = x_1

x_1 = 7

5 = \frac{y_1 - 1}{2}

5*2 = \frac{y_1 - 1}{2}*2

10 = y_1 - 1

10 + 1= y_1 - 1 + 1

11 = y_1

y_1 = 11

Coordinates of D is (7, 11)

You might be interested in
In triangle ABC, an altitude is drawn from vertex C to the line containing AB. The length of this altitude is h and h=AB. Which
adoni [48]

Answer:

II. Angle C cannot be a right angle.

III. Angle C could be less than 45 degrees.

4 0
3 years ago
Read 2 more answers
Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
svetlana [45]

Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

3 0
2 years ago
Read 2 more answers
Plz help ASAP :))))
Pachacha [2.7K]

Answer:

It would be A:likely

Step-by-step explanation:

let's take rounding decimals for example; when you 5.86 and you were rounding to the nearest tenth it would be 5.9. That is because the 6 is greater than 5, so for the weather the highest the percentage it can be is 100% and 50% is half and since it is more than half then it would be more likely.

6 0
2 years ago
Simplify the following square root:
GrogVix [38]
I don’t think this exact answer is there

5 0
3 years ago
Solution set of 5/11x+1/3=3/7-6/11x+3/7
kirill115 [55]

\frac{5}{11x}  +  \frac{1}{3}  =  \frac{3}{7}  -  \frac{6}{11x}  +  \frac{3}{7}  \\  \frac{11}{11x}  =  \frac{6}{7}  -  \frac{1}{3}  \\  \frac{1}{x}  =  \frac{11}{21}  \\ x =  \frac{21}{11}  = 1 \frac{10}{11}

6 0
3 years ago
Other questions:
  • Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and
    11·1 answer
  • Name the place value to which each number was round 4.805 to 4.8
    7·1 answer
  • If x=7, then 2x * x=
    12·1 answer
  • 2x + 4y = 22<br> What is the answer?
    11·2 answers
  • Which situation cannot be represented by the equation 15 + x = 25?
    11·1 answer
  • What is the distance between (5, -1) and (5,-4)<br><br> 1 unit<br> 3 unit<br> 4 unit<br> 5 unit
    8·1 answer
  • Whats the trans ___ and reflection ___
    5·1 answer
  • The members of the city cultural center have decided to put on a play once a night for a
    9·1 answer
  • The graphs below have the same shape. What is the equation of the blue<br> graph?
    13·1 answer
  • What is the side length of a 36 inch cube
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!