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
Leona [35]
3 years ago
11

Ine segment AB has endpoints A(–4, –10) and B(–11, –7). To find the x-coordinate of the point that divides the directed line seg

ment in a 3:4 ratio, the formula x = (x2 – x1) + x1 was used to find that x = (–11 – (–4)) + (–4).
Therefore, the x-coordinate of the point that divides AB into a 3:4 ratio is
Mathematics
2 answers:
Ivenika [448]3 years ago
7 0

Answer:

-7

Step-by-step explanation:

The coordinates of the point wich divide the segment AB, where A(x_A,y_A),\ B(x_B,y_B) in ratio m:n can be calculated using formula

C\left(\dfrac{nx_A+mx_B}{m+n},\dfrac{ny_A+my_B}{m+n}\right)

In your case,

A(-4,-10)\\ \\B(-11,-7)\\ \\m:n=3:4\Rightarrow m=3,\ n=4

Hence,

C\left(\dfrac{4\cdot (-4)+3\cdot (-11)}{3+4},\dfrac{4\cdot (-10)+3\cdot (-7)}{3+4}\right)\\ \\C\left(-\dfrac{49}{7},-\dfrac{61}{7}\right)\\ \\C\left(-7,-\dfrac{61}{7}\right)

Therefore, x-coordinate of the point that divides AB into a 3:4 ratio is -7.

denpristay [2]3 years ago
7 0

Answer:

a) -7

Step-by-step explanation:

made 100%

You might be interested in
At noon, the shadow of a flagpole is 10 feet long. At the same time, the shadow of a 140-foot tall building is 60 feet long. Wha
Free_Kalibri [48]
10=2x5
60=2x2x3x5

2x2x5x3=60

i think to do this you need lcm but im not sure

6 0
2 years ago
Please help asap :( "This is My final Grade " My Teacher wants a full explanation included with the answer .) please view the at
STALIN [3.7K]

Answer:

Step-by-step explanation:

circle A is

x²+y²+6x-4y-12=0

x²+6x +y²-4y =12

think (a+b)² = a²+2ab+b² we have a=x, b= 3

and (a-b)² = a²-2ab+b² so we have a=y, b=2

x²+6x +9 +y²-4y+4 = 12-9-4

(x+3)² +(y-2)²= -1

compare to the general equation of a circle (x-h)²+(y-k)² =r²

the center is at (-3,2) and the radius is √-1 =i

Circle B has center (0, -4) and radius 3 so the equation is

(x-0)²+(y-(-4))² =3²

x² +(y+4)² = 9

point (√8, -3) is on the circle if it verifies the equation

√8² +(-3+4)² = 9

8+1 =9 true so the point is on the circle

Circle A and circle B are not similar because they do not have the same center and radius

4 0
3 years ago
ANSWER SHEET
faust18 [17]

Answer:

.

Step-by-step explanation:

5 0
3 years ago
Which function represents the graph (what function is this)
swat32
It’s the first one ( quadratic )
8 0
2 years ago
Please Help! Malik agreed to practice basketball drills with a new player, Tyler, during practice. Malik's best friend, Samuel,
lions [1.4K]
Malik can remain honest with his partner Samuel and respect his opinion.
3 0
2 years ago
Other questions:
  • The value of "x" in the attached figure is: *
    10·1 answer
  • Graph: y < 3x + 1 please help me
    6·1 answer
  • 590 divided by 50779
    12·1 answer
  • Find the product:400 x 100,000
    7·1 answer
  • Answer please easy question​
    6·2 answers
  • Find the solution for 8x = 48. Then explain how you
    11·2 answers
  • In the following proportion, what does x equal? A. 4.6 B. 5.4 C. 6.1 D. 6.8
    12·2 answers
  • The two triangles below are congruent. Which of the following are congruent by CPCTC?
    15·2 answers
  • Arthur did not go to school for 36 days in a year. If his absence from school is 15 %, find the number of days the school opened
    11·1 answer
  • Mike pent $11. 19 on a bag containing red and blue candie. The bag weighed 11 pound. The red candy cot $1. 29 a pound and the bl
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!