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dolphi86 [110]
3 years ago
10

In the xy -coordinate plane, the coordinates of point s are (-2,-6), and coordinates of point T are (18,9). Point Q lies on line

segment ST so that the ratio of the distance from point S to point Q to the distance from point g to point T is 2 to 3. What are the coordinates of point Q?
Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

(6,0)

Step-by-step explanation:

The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

(\frac{mx_{2}+nx_{1}}{m+n} ,\frac{my_{2}+ny_{1}}{m+n} )

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).

In this case m will be 2 and n will be 3 as the ratio is 2:3

Using all these values we can find the coordinates of point Q

( \frac{2(18)+3(-2)}{2+3},\frac{2(9)+3(-6)}{2+3} )\\\\ = (\frac{30}{5} ,\frac{0}{5} )\\\\ =(6,0)

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)

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Which equation represents this number sentence?
olasank [31]

Answer:

The answer to your question is: the second option

Step-by-step explanation:

a) This is not the right answer, the sentence to this option could be: fourteen more than the quotient of five and a number is 23.

b) This is the right option, the sentence is given in the description.

c)  This is not the right answer, the sentence to thi option could be: the quotient of fourteen plus a number and five is 23.

d) This is not the right answer, the sentence of this option could be: the quotient of five and the addition of a number and fourteen is 23.

4 0
3 years ago
75 - 3.5y - 4y = 4y + 6 <br> Solve for y please.
Alla [95]

Answer:

6

Step-by-step explanation:

75−3.5y−4y=4y+6

Step 1: Simplify both sides of the equation.

75−3.5y−4y=4y+6

75+−3.5y+−4y=4y+6

(−3.5y+−4y)+(75)=4y+6(Combine Like Terms)

−7.5y+75=4y+6

−7.5y+75=4y+6

Step 2: Subtract 4y from both sides.

−7.5y+75−4y=4y+6−4y

−11.5y+75=6

Step 3: Subtract 75 from both sides.

−11.5y+75−75=6−75

−11.5y=−69

Step 4: Divide both sides by -11.5.

−11.5y

−11.5

=

−69

−11.5

y=6

Hope this helps!

7 0
3 years ago
Read 2 more answers
A high rise apartment building has 15 floors with 26 apartments on each floor.There are 3 kinds of apartments in the building: 1
konstantin123 [22]

Answer:

The number of each kind of apartment in the building is 130  .

Step-by-step explanation:

Given as :

The total number of floor in a building = 15

The number of apartment on each floor = 26

So, The total number of apartment = 26 × 15 = 390

The number of kinds of apartment in the building is 3 ,  i.e 1-bedroom ,               2-bedroom , 3-bedroom

Let The number of each kind of apartment in building = x

So, According to question

The number of each kind of building = \dfrac{\textrm Total number of apartment }{number of kinds of apartment}

or, x = \frac{390}{3}

∴   x = 130

Hence The number of each kind of apartment in the building is 130  . Answer

3 0
3 years ago
The area of the square is 36 square cm. Find its side.
bonufazy [111]

Answer:

s = 6 cm

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length )

given A = 36 , then

s² = 36 ( take square root of both sides )

s = \sqrt{36} = 6

7 0
2 years ago
Read 2 more answers
HELP MEE!!!
SIZIF [17.4K]

A- none because they are parallel lines

5 0
4 years ago
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