The ratio R S R T = 1 2 . Point R is at (2, 5) and point T is at (–4, –7). Which could be the coordinates of S? A. (–1, –1)

Answers

Answer 1

Answer:

The coordinates of the point S could be;

A. (-1, -1)

Step-by-step explanation:

The given parameters are;

The ratio of the length of the line RS to the length of the line RT = 1:2

The coordinates of point R = (2. 5)

The coordinates point T = (-4, -7)

Therefore, we have;

[tex]\dfrac{The \ length \ of \, RS}{The \ length \ of \, RT} = \dfrac{1}{2}[/tex]

[tex]\therefore {The \ length \ of \, RS} = \dfrac{1}{2} \times The \ length \ of \, RT[/tex]

The length of the line RT = √(((2 - (-4))² + (5 - (-7))²) = 6·√5

Therefore, we have;

[tex]{The \ length \ of \, RS} = \dfrac{1}{2} \times 6\cdot \sqrt{5} = 3 \cdot \sqrt{5}[/tex]

When the coordinates of the point S = (-1, -1), we have;

The length of the line RS = √(((2 - (-1))² + (5 - (-1))²) = √45 = 3·√5

Therefore, the coordinates of the point S could be (-1, -1)


Related Questions

Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h

Answers

Answer:

the value of h is √676km

Step-by-step explanation:

The computation of the value of h is shown below

Here we apply the Pythagoreus theorem

= 24^2 + 10^2

= 576 + 100

= √676

Hence, the value of h is √676km

We simply determine by using the Pythagoreus theorem

hey can you solve this I'm weird at maths

[tex] \sqrt{144} = 12 \times x[/tex]
what's x ?​

Answers

Answer:

The square root of 144 = 12

Step-by-step explanation:

12 X 12 = 144

A square root of a number is a value that, when multiplied by itself, gives the number.

Answer:

x=1

Step-by-step explanation:

and yes you r weird

...

choose the answer that best completes the sentence.

If you know a root of a function is -2+V3i , then ___.

Answers

Answer:

2 + V3i is a known root

Step-by-step explanation:

We want the positive and negative values from the square root

Answer:

D.   -2-[tex]\sqrt{3i[/tex]

Step-by-step explanation:

I am taking the assignment and got it correct. Good luck

Find the median for each set of data. Round to the nearest tenth if necessary.

34, 47, 30, 79, 68, 19, 16

A) 38. B) 26

C) 43. D) 34

Answers

Answer:

d) 34 is the median

Step-by-step explanation:

hope this helped you

5/6 - 1/4. what is 5 over 6 minus 1 over 4? help

Answers

Answer:

7/12

Step-by-step explanation:

turn 5/6 and 1/4 to have same denominator (12).

10/12 - 3/12

7/12

please help me out!! 20 points :))

Answers

Answer:

x =18 , z =77

Step-by-step explanation:

Vertically Opposite Angles,

[tex]8x - 41 = 7x - 23 \\ 8x - 7x - 41 = - 23 \\ x - 41 = - 23 \\ x = - 23 + 41 \\ x = 18[/tex]

Since angle x and angle 7x-23 lies on the same straight line,

[tex]z + 7x - 23 = 180[/tex]

Substitute x = 18 into the equation,

[tex]z + 7(18) - 23 = 180 \\ z + 126 - 23 = 180 \\ z = 180 - 126 + 23 \\ z = 77[/tex]

Given the data 12 ,39, 21, 18, 24, 17, 12, 25, what is the outlier
a12
b25
c39
d24​

Answers

C is the answer, 39 is the outlier

What is the slope in this graph?

Answers

Answer:

[tex] \frac{3}{4} x[/tex]

Step-by-step explanation:

because form one corner of the square to the other it goes to the right 3 and Up by 4 so the slope is 3 / 4x

A TEAMS TOP SPEED FOR EACH LEG OF THE RACE IS 56.81 SECONDS, 59.22 SECONDS ,57.39 AND 60.1 WHAT IS THE BEST TIME

Answers

Answer:

56.81 SECONDS

Step-by-step explanation:

The best time would be the shortest time it takes to complete the race. This is 56.81 SECONDS

What is the distance between points S and U if S is 2, 1 and U is 6, 8

Round to the nearest tenth of a unit.


A. 3.3 units

B. 6.4 units

C. 8.1 units

D. 12.0 units

Answers

The distance formula is:

D = sqrt((x2-x1)^2 + (y2-y1)^2)

D= sqrt ((6-2)^2 + (8-1)^2)

D = sqrt(4^2 + 7^2)

D = sqrt( 16 + 49)

D = sqrt(65)

D = 8.06

Rounded to the beat tenth = 8.1 units.

The answer is C. 8.1 units

Answer:

C

Step-by-step explanation:

S has coordinates (2 , 1) and U has coordinates (6, 8) . Computing the SU vector gives us (4 , 7)

taking the distance formula : sqrt(4^2 +7^2)

= sqrt(65) = 8.1 which is answer C

Please help me I'm desperate!! Debbie is making bows that use 1/5 yard of ribbon each. If Debbie has 3 yards of ribbon how many can she make. Is this division or multiplication pls tell me that too.

Answers

division 3 divided by 1/5 is 15. She can make 15 bows with the ribbon

ABC is isosceles AC=20 and BC= 3x-7

Answers

Answer:

x=9

Step-by-step explanation:

Using diagonals from a common vertex, how many triangles could be formed from a
24-gon?

Answers

Answer:

22 triangles in a 24-gon.

Step-by-step explanation:

24−2=22

There are 22 triangles in a 24-gon.

Answer:

13 triangles in a 15-gon

Step-by-step explanation:

15-2=13

Please help me find the answer.

Answers

Answer:

I think 3/6

Step-by-step explanation:

because there is 6 cards and 3 of them are odd but im not postive

Determine the value of x in each figure.
HELPPPPP PLEASEEEEE

Answers

Answer:

15°

Step-by-step explanation:

120° and 8x are vertically opposite angles, which are always equal.

=> 8x = 120°

=> x = 120/8

=> x = 15°

Only correct, and relevant answers please :)

Answers

Answer:

Answer is A hope this helps :)

Step-by-step explanation:

suppose that 12 dimes and nickels are worth 95 cents. how many dimes and nickels are there? use systems of equations to solve.

Answers

Answer:

7 dimes and 5 nickles

Step-by-step explanation:

7 times 10 equals 70 5 times 5 equals 25. 70 plus 25 equals 95

What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?

Answers

Answer:

x = 7

Step-by-step explanation:

(7 + 6) - (14 - 1) = 13 - 13 = 0

Answer:

x = 7

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

ln(x + 6) - ln(2x - 1) = 0

ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0

[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then

2x - 1 = x + 6 ( subtract x from both sides )

x - 1 = 6 ( add 1 to both sides )

x = 7

what is the first step in evacuating the expression below

Answers

Answer:

adding 4 +2

Step-by-step explanation:

in parenthesis

HELP FAST: ( FOR 20 POINTS)
Louis says that the line shown on the scatter plot is a good line of fit for the data because there are two points that lie on the line. Is Louis correct? Explain your reasoning.

Answers

No because if you want a more accurate line plot the dots needs to be packed closely together

Carlos left the mall at the same time as
Gabriella. They traveled in opposite
directions. Gabriella traveled at a speed
of 50 mph. After two hours they were 180
mi. apart. How fast did Carlos travel?

Answers

Answer:

40 mph

Step-by-step explanation:

After the 2 hours Gab travelled 100 miles (50*2), subtract this from 180 to find how many miles Carlos travelled. Divide this number by 2 to figure out the mph

A line has a slope of 11 and passes through the point (2,4). PLSSSS HELPPP

​​Find the equation of the line.

Answers

Answer:

y=11x-18

Step-by-step explanation:

y=11x+b (b is the unknown y-int)

to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*

y=11x+b

4=11(2)+b

4=22+b

b=-18

the equation of the line:

y=11x-18

Please answer the question above.

Answers

Answer:113

Step-by-step explanation:

Angle 4 is also 67° because it is a vertical angle to angle 8.

help please!! graphs and functions

Answers

I thjnk is the last one
The answer is C. g(x)

You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles per hour. He knows your best time is 3 miles per hour so he gives you a 3 mile lead. When will he catch you? How far behind are you when Mr. Fowles finishes the race? How much longer will it take for you to finish?

Answers

Answer:

The answer is below

Step-by-step explanation:

Speed is the time rate of change of velocity, it is the ratio of distance to time.

Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:

speed = distance / time

time = distance / speed = 26 / 4.2 = 6.19 hour

I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:

time = distance / speed = 23 / 3 = 7.67 hour

a) Let d be the distance Mr Fowles catches me. Hence:

time = (d + 3)/4.2; also time = d/3

(d + 3)/4.2 = d/3

3d + 9 = 4.2d

1.2d = 9

d = 7.5 miles

He would catch me at 10.5 (7.5 + 3) miles from the starting point.

b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:

distance = 6.19 * 3 mi/hr = 18.57 mile

Distance behind = 23 mile - 18.57 = 4.43 mile

c) time longer = 7.67 hour - 6.19 hour = 1.48 hour

help please ASAP!!!!!

Answers

rr2120479477

fmvjgnjbAzsdfghjmn cftyhbvfghnf huhbvvh fb3r

3x-5=4x+2can i get help anyone

Answers

Answer:

3(x+5) = 4x

Step-by-step explanation:

The Williams family bought four concert tickets for $252. What was the price per
ticket?

Answers

Answer:

$63

Step-by-step explanation:

$252 ÷ 4 = $63

Answer:

Step-by-step explanation:

The family bought 4 tickets

The total cost is $252

So that means you have to divide $252 by the number

of tickets bought which is 4

$252÷4=$63

Answer: Each ticket cost $63

Survey results tell you that 55% of students say chocolate is their favoriate ice cream flavor. If 88 students said chocolate is their favorite ice cream flavor, how many total students were surveyed?

Answers

Answer:

around 165-176

is it a multiple choice answer

Step-by-step explanation:

For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90

Answers

Answer:

38

Step-by-step explanation:

128 + angle G= 180

angle G = 180-128= 52

m+ 52 = 90 ( complementary angles)

m= 90-52= 38

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