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
mel-nik [20]
3 years ago
12

Point A is at (-7,5) and point C is at (5,-1). Find the coordinates of point B on AC such that AB is 5 times as long as BC.

Mathematics
2 answers:
Tcecarenko [31]3 years ago
8 0

Answer:

Point B = (53, -25)  satisfies the required condition

Step-by-step explanation:

Notice that point A is in the second quadrant and point C in the fourth quadrant, and the separation between them in the x-direction is given by:

| 5 - (-7) | = 12  

while their separation in the y-direction is:  

| -1 -5 | = 6

That means that point C is twelve units to the right and 6 units down from point A. In order to create a segment with another point aligned with them and which has 5 times the length of AC, we then need to consider adding to the x-coordinate of point C 4 times 12 units = 48 units to obtain the x-coordinate of the new point B, and go down 4 times 6 units = 24 units to the y-coordinate of point C.

This is: B = (5+48, -1-24) = (53, -25)

We can verify our procedure by estimating the length of the segment AB and that of segment AC and checking that the first one is indeed 5 times that of AC:

|AB| =\sqrt{(53-(-7))^2+(-25-5)^2} = \sqrt{3600+900} =\sqrt{4500} =\sqrt{2^2\,3^2\,5^3} =5\,\sqrt{180}

|AC| =\sqrt{(5-(-7))^2+(-1-5)^2} = \sqrt{144+36} =\sqrt{180}

Therefore this new point B is indeed giving as a segment of the desired length.

Bingel [31]3 years ago
4 0

Answer:

(3,0)

Step-by-step explanation:

You might be interested in
What’s a multi step equation that equals 22, 23, 29? please this is urgent
Delicious77 [7]
1.5(x+40)-3=4.5(x-2) X=22
4(x+3)+5=109 X=23
3(x-8)=63 X=29
Really hope this helps because it took a while

6 0
3 years ago
Help please!!! Need helppp!!!
castortr0y [4]

Answer:

multiply

Step-by-step explanation:

all you need to do is multiply 2×1×1

4 0
3 years ago
Solve for the variable: -9w greater than or equal to -99
Anna71 [15]
The answer could possibly be w is greater than or equal to 11 (if that is either C or D) if that is not one of your options, it is most likely greater than 11. Hope this helps
8 0
3 years ago
Please help!<br><br> Please please please
scoray [572]

Answer:

For x ≥ 2, the graph will be a straight line parallel to x-axis and having equation y = - 3

And for x < 2 will be a straight line having equation y = x i.e. the graph makes 45° angle with the positive x-axis and passing through the origin.

Step-by-step explanation:

The piece wise function g(x) is given by  

g(x) = x if x < 2 and g(x) = - 3 if x ≥ 2.

Now, the graph has two parts, one for x ≥ 2 and another for x < 2.

Here, for x ≥ 2, the graph will be a straight line parallel to the x-axis and having equation y = - 3

Again, the graph for x < 2 will be a straight line having equation y = x i.e. the graph makes 45° angle with the positive x-axis and passing through the origin. (Answer)

6 0
2 years ago
Pls help me. Plus, working. Thank you​
Phoenix [80]

Answer:

Total surface area=228cm²

Step-by-step explanation:

Area of bottom(parallelogram)=12×12=144cm²

area of 1 triangle=1/2×8×12=48cm²

area of 3triangles=48×3=144cm²

Total surface area=144+144=228cm²

7 0
3 years ago
Other questions:
  • Simplify 42 ⋅ 48 thanks
    9·1 answer
  • What is 7 9/13 as an improper fraction
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7Bx%20%2B%202%7D%20%20-%20%20%7B3%7D%5E%7Bx%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B9%
    15·1 answer
  • A fruit company delivers its fruit in two types of boxes: large and small. A delivery of
    5·1 answer
  • What is 2/5 as a percent?
    5·2 answers
  • Which Inequality is represented by the number line graph?
    7·1 answer
  • Please help these are the last 3 I need help on. I will mark brainliest if it lets me
    6·1 answer
  • Suppose a tree limb falls on your house during a storm and causes $9,500 worth of damage to your pool cage. The premium for your
    9·1 answer
  • Solve y = x + 6 for x.<br><br> x = y + 6<br> x = −y + 6<br> x = y − 6<br> x = −y − 6
    7·1 answer
  • This question is down below. The picture attached below. <br> Thanks.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!