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
FrozenT [24]
3 years ago
14

Find the point, M, that divides segment AB into a ratio of 4:7 if A is at (-33,0) and B is at (0, 44).

Mathematics
1 answer:
Amanda [17]3 years ago
5 0

Answer:

(-21, 16)  

Step-by-step explanation:

A is at (-33, 0) and B is at (0, 44),

A point that divides the line segment in a ratio of 4:7 also divides the differences of the x-and y-coordinates in the same ratio.

If we divide each distance into 11 equal parts and choose a length 4/11  of the distance, the other part will be 7/11 of the distance. The two parts will be in a ratio of 4:7.

For the x-coordinate,

x₂ - x₁ = 0 - (-33) = 0 + 33 = 33

(4/11) × 33 = 12

-33 + 12 = -21

The x-coordinate of M is (-21, 0).

For the y-coordinate,

y₂ - y₁ = 44 - 0 = 44

(4/11) × 44 = 16

0 + 16 = 16

The y-coordinate of M is (0, 16).

The coordinates of M are then (-21, 16).

The diagram below shows the point M that divides AB in a 4/7 ratio.

You might be interested in
4 times the quantity of 20 decreased by a number
iogann1982 [59]

Answer:

4 x 20 - X

Step-by-step explanation:

4 times 20 - X

x is the unknown variable

Unknown variable = what you are trying to find.

6 0
3 years ago
Select all the ordered pairs that satisfy the function y = 3x + 5. A. (2, –1) A. , (2, –1) B. ( –3, –4) B. , ( –3, –4) C. ( 4, 1
Ne4ueva [31]

Answer:

B. ( –3, –4)

C. ( 4, 17 )

Step-by-step explanation:

Function: y = 3x + 5

Using method of elimination

A. (2, –1)

x = 2, y = -1

-1 = 3 (2) + 5

-1 ≠ 11

This option is incorrect!

B. ( –3, –4)

x = -3, y = -4

-4 = 3 (-3) + 5

-4 = - 9 + 5

-4 = -4

This option is correct!

C. ( 4, 17 )

x = 4, y = 17

17 = 3 (4) + 5

17 = 12 + 5

17 = 17

This option is correct!

D. ( 3, 8 )

x = 3, y = 8

8 = 3 (3) + 5

8 = 9 + 5

8 = 14

This option is incorrect!

5 0
3 years ago
45 minutes to 1 hour ratio
Mariana [72]
h-hour(s)\\min-minute(s)\\\\1h=60min\to45min=\dfrac{45}{60}h=\dfrac{45:15}{60:15}h=\dfrac{3}{4}h\\\\45min\ to\ 1h=\dfrac{3}{4}h:1h=\huge\boxed{3:4}
7 0
3 years ago
Read 2 more answers
9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9
gladu [14]

Answer:  a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height  = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976

Hence, a) (176.76,172.24), b) 0.976.

8 0
3 years ago
Let I (x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet,"
FrozenT [24]

Answer:

Step-by-step explanation:

L(x) means that Student X has an internet connection

C(x,y) means that students X and Y have chatted over the internet

The domain for variables X and Y comprise all students in your class. We now use quantifiers or algebraic functions to express each of the statements:

(A) Jerry does not have an internet connection

L(x) = 0

Where X represents Jerry

(B) Rachel has not chatted over the internet with Chelsea

C(x,y) = 0

Where X and Y represent Rachel and Chelsea

(C) Jan and Sharon have never chatted over the internet

L(x) + L(y) = 0

Where X and Y represent Jan and Sharon. If they have NEVER chatted over (the question didn't say they have never "with each other", it says they have never chatted at all) the internet, then they've probably never had an internet connection!

(D) No one in the class has chatted with Bob

Let Y represent Bob and X1, X2, ..., Xn represent everyone else in the class.

The value of Y is not significant here (because it is raised to the power of zero and that makes it equal to 1 and when 1 is multiplied by any X value, the X value or student remains the same) but we have to put it, to represent Bob.

The quantifier here is C (X1Y°, X2Y°, X3Y°, ..., XnY°)

5 0
3 years ago
Other questions:
  • What is the solution to the system of equations?
    15·1 answer
  • Identify the like terms.
    9·1 answer
  • Witch of the following options have the same value as 80% of 22
    12·1 answer
  • What is the solution set for x in log4(x+5)+log4x=log4 14
    15·1 answer
  • Solve the following system of equations by the substitution method. 10x+10y=1.
    6·1 answer
  • if the length of the container is half of a foot longer than it’s width what expression represents the height of the container
    10·1 answer
  • What is the value of x?<br> 799<br> A. 36°<br> B. 14°<br> C. 1440<br> D. 56
    15·1 answer
  • Also i wanna say thank you for helping me this school year you did a great job have a great summer​
    8·1 answer
  • Which number is a counter example of the following statement, all numbers that are divisible by 2 are divisible by 4
    8·1 answer
  • The cube root is the same as______
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!