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
raketka [301]
3 years ago
5

Line segment XY has endpoints X(–10, –1) and Y(5, 15). To find the y-coordinate of the point that divides the directed line segm

ent in a 5:3 ratio, the formula y = (A/A+B) (y2 – y1) + y1 was used to find that y = (5/5+3) (15 – (–1)) + (–1).
Therefore, the y-coordinate of the point that divides XY into a 5:3 ratio is?

Mathematics
2 answers:
Over [174]3 years ago
8 0

Answer:

The y co-ordinate is 9

Step-by-step explanation:

We simplify the expression given by the formula;

\frac{5}{8}*16-1=9

alexira [117]3 years ago
8 0

Answer:

The y-coordinate is 9.

Step-by-step explanation:

The given line segment has endpoints X(-10,-1) and Y(5,15).

The formula for finding the y-coordinate of the point that divides the directed line segment in the ratio a:b is

y=(\frac{a}{a+b} )(y_2-y_1)+y_1.

The given ratio is 5:3.

We plug in the values to get

y=(\frac{5}{5+3})(15-(-1))+(-1)

We simplify to get;

y=(\frac{5}{8})(16)+(-1)

y=10-1

y=9.

You might be interested in
The measure of B is (3x-4)° and the measure of D is (2x-6)°. What are the measures of angles B and D?
Ilia_Sergeevich [38]

Answer:

5x - 10

Step-by-step explanation:

→ Find the sum of the expression

3x - 4 + 2x - 6

→ Collect all the x terms

3x + 2x - 4 - 6

→ Simplify

5x - 10

3 0
1 year ago
140,000 invested in a business. Joe and Matt invested in a 2:5 ratio. How much does each person have invested.
Liula [17]
You have to divide 140,000 by 7 to get the base number of 20,000. You then multiply it by 2 and 5 for each respective person. Joe invested 40,000 and Matt invested 100,000.
8 0
2 years ago
For every 13 birds born at the zoo there are two animals born. There were 44 if you were animals born last month then birds so h
Daniel [21]
The ratio birds : animals = 13 : 2
so for every 1 animal, 6.5 birds were born

last month: animals = birds - 44
birds - animals = 44
use trial and improvement to find:
if there were 52 birds, there must be 8 animals
CHECK: 52 - 8 = 44
4 0
3 years ago
Write the word sentence as an inequality the number x is no less than -4
vladimir1956 [14]

Answer:

Translate. .

Solve—divide both sides by 12. .

Simplify. .

Write in interval notation. .

Graph on the number line. .

Step-by-step explanation:

Translate and solve. Then write the solution in interval notation and graph on the number line.

Thirty less than x is at least 45.

Solution

Translate. .

Solve—add 30 to both sides. .

Simplify. .

Write in interval notation. .

Graph on the number line. .

8 0
3 years ago
Read 2 more answers
The function f(x) = 3(1.9)x gives the length (in inches) of an image after being enlarged by 10% x times. What is the length of
Margaret [11]

Answer:

20.58 inches

Step-by-step explanation:

As the variable x represents the number of times the figure is enlarged, to find the length of the image after it has been enlarged 3 times, we just need to use the function f(x) with the value of x = 3:

f(x) = 3 * (1.9)^x

f(3) = 3 * (1.9)^3

f(3) = 3 * 6.859

f(3) = 20.577 inches

Rounding to nearest hundredth, we have f(3) = 20.58 inches

So the length of the image after being enlarged 3 times is 20.58 inches

3 0
2 years ago
Other questions:
  • A cartoon last is one 1/2 of an hour. A movie is 6 times longer than the cartoon. How many minutes does it take to watch both th
    10·1 answer
  • MORE PROBABILITY :\ . In a family with family with 4 children, excluding multiple births, what is the probability of having 2 gi
    10·1 answer
  • Does anyone know how to do this?? steps are helpful but not necessary
    15·1 answer
  • The average daily rainfall for the past week in the town of Hope Cove is normally distributed, with a mean rainfall of 2.1 inche
    12·1 answer
  • Aaron is 53 ž inches tall. His friend Xaviar was 48.75 inches tall, but grew 2 inches over
    8·1 answer
  • 100% plzzzzzz help me
    6·1 answer
  • Solve -4x^2+3x=-5 using quadratic formula​
    12·1 answer
  • Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode on the trail for 5 5/6 miles and then rode back home. W
    13·2 answers
  • What is the difference between brackets and parentheses in math?
    6·1 answer
  • 1 Line AB passes through the points A(-1, -2) and B(3,8). Would AB be parallel to a line whose slope is equal to 3?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!