What are the coordinates of the point on the directed line segment from (-2, -5)(−2,−5) to (7, 10)(7,10) that partitions the segment into a ratio of 2 to 1?

Answers

Answer 1

Given:

The directed line segment from (-2, -5) to (7, 10).

A point partitions the segment into a ratio of 2 to 1.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of that point are

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

The point divides the line segment from (-2, -5) to (7, 10) in 2:1.

Using section formula, we get

[tex]Point=\left(\dfrac{2(7)+1(-2)}{2+1},\dfrac{2(10)+1(-5)}{2+1}\right)[/tex]

[tex]Point=\left(\dfrac{14-2}{3},\dfrac{20-5}{3}\right)[/tex]

[tex]Point=\left(\dfrac{12}{3},\dfrac{15}{3}\right)[/tex]

[tex]Point=\left(4,5\right)[/tex]

Therefore, the coordinates of the partition point are (4,5).

Answer 2

Answer:

4.5

Step-by-step explanation:


Related Questions

"Kendra loves to play sports, but she also enjoys watching them." Is it simple, compound, or complex sentence?

Answers

Answer:

compound

Step-by-step explanation:

it uses a comma and the conjunction but. so it is seen to be a compound sentence

What is the slope of y=-x+7

Answers

Answer:

-1

Step-by-step explanation:

This is the slope because x is the slope, and if there is no number in front of x then x is 1. There is also a negative in front of x which means the answer is -1.  

The slope of the equation y = -x + 7 equals -1.

What is 12ab+6ab

Please

Answers

12ab+6ab
The answer is


= > 18ab

Which choice is equivalent to the expression below?
2^7.19

Answers

Answer:

B

Step-by-step explanation:

Exponents Law:

[tex]a^{m}*a^{n} = a^{m+n}[/tex]

In exponent multiplication, if bases are same, add the powers(exponents).

Write 7.19 in expanded form: 7.19 = 7 + 0.1 + 0.09. Now apply the exponent rule.

[tex]2^{7.19}=2^{7+0.1+0.09}\\\\=2^{7}*2^{0.1}*2^{0.09}\\\\= 2^{7}*2^{\frac{1}{10}}*2^{\frac{9}{100}}[/tex]

Helen drives 195 miles in 3 hours
A) what is her average speed in mph

Answers

Answer:

First 195 dived by 3, then the answer is 65.

Plz help it due in a hour
And show workings

Answers

Answer:
(8,6)

Explanation:
The middle of the 2 x coordinates, 8 and -2 is 3. The middle of the 2 y coordinates, -6 and 6 is 0. Hence (8,6)

0.5÷7/10
please help me with this my teacher is driving me crazy​

Answers

Answer:  0.714286

turn 7/10 into .7 and divide normally

I NEED HELP ASAP PLEASE DONT JUST TYPE FOR POINTS ACTUALLY HELP MEE

Answers

Answer:

i think it's A but don't quote me on it

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Simplify Combine like terms
4a-5a+2a+6a

Answers

Answer: 7a

Step-by-step explanation: Since they are like terms, you can just add or subtract them.

4a - 5a = -1a

2a + 6a = 8a

-1a + 8a = 7a

For the expression below, combine like terms to simplify the expression. -4x + 3y - 6 -15x + 23y - 10

Answers

Answer: -19x + 26y - 16

Step-by-step explanation:

Combine like terms:

= -4x + 3y - 6 -15x + 23y - 10

= -4x - 15x + 3y + 23y - 6 - 10

Simplifying the expression:

= -4x - 15x + 3y + 23y - 6 - 10

= -19x + 26y - 16

helpppp !

preston can paint 375 square feet in 3 hours . at the same rate how long would it take him to paint 812.5 square feet ?

a ; 0.15 hours
b ; 1.4 hours
c ; 7.5 hours
d ; 6.5 hours

Answers

Answer:

It would take D.)6.5 hours to paint 812.5 square

Step-by-step explanation:

Answer:

It would take D.)6.5 hours to paint 812.5 square

Step-by-step explanation:

A football team gained 7 yards in one play. What integer represents the amount of yards the football team gained​?

Answers

Answer:

y + 7 = x

Step-by-step explanation:

Equilateral triangle has a side of 8 inches long find the area

Answers

Answer:

36 inches²

Step-by-step explanation:

area of a triangle = length x base x ½

= 8 × 8 × ½

= 36in²

7 kg of apples cost $14. How much would 41 kg cost?
pls help me

Answers

Answer:

41 kg of apples would cost $82.

Step-by-step explanation:

41 kg divided by 7 kg is 5.85714285714. 5.85714285714 multiplied by $14 is $82.

can someone explain what im supposed to do here

Answers

I think where x is, so in the case of the first one where 0 is you put where it intercepts at Y so that one would be 6 I presume.

1) equation: f(x) = 6e^(ln(⅓) • x) or 6(10)^(log(1/3) • x)

table:

x | y

-1 20

0 6

1 2

2) is cut off, I can't see the rest of the graph.

Answer please

I am in dire need of an answer

Please please

Answers

Please round off the answer
Lemme know if it’s wrong

PLEASE HELP ME ASAP!!! I WILL MAKE YOU BRAINLIEST AND YOU GET 20 points!!!

Answers

Answer:

I hope this makes sense, sorry for the lack of proofs.

Step-by-step explanation:

It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.

Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.

There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.

Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.

Find the equation of the line passing through point (4,2) and perpendicular to AB

Answers

Answer:

a. -⅓

b. 3

c. y = 3x - 10

Step-by-step explanation:

a. Gradient of line AB:

A(1, 3), B(7, 1)

[tex] Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{7 - 1} = \frac{-2}{6} = -\frac{1}{3} [/tex]

Gradient (m) = -⅓

b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.

Thus, the negative reciprocal of -⅓ = 3

Gradient of the line perpendicular to line AB = 3

c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:

We can write the equation using the point-slope form equation, y - b = m(x - a), where,

(a, b) represents a point on the line, and,

m = gradient/slope

We know that the gradient/slope (m) = 3

Also, a point, (a, b) = (4, 2).

Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)

Thus:

y - 2 = 3(x - 4)

y - 2 = 3x - 12

Add 2 to both sides

y = 3x - 12 + 2

y = 3x - 10

Can u help me pls
This homework was due last week
I really need help
thx xxx

Answers

the answer is 5

ratio 4:10 simplified : 2:5

1.3.PS-44 Question Help A housekeeper had 2 3 of a spray bottle of a cleaning solution. She used 1 4 of the solution in a day. How much of the bottle did she ​use?

Answers

Answer:

[tex]\bold{\frac{1}{6}}[/tex] of the bottle was used

Step-by-step explanation:

Amount of cleaning solution present in spray bottle = [tex]\frac{2}3[/tex] of the bottle

Amount of cleaning solution present in the spray bottle used = [tex]\frac{1}4[/tex] of the cleaning solution present initially

To find:

How much of the bottle was used?

Solution:

Here, we need to find how much amount of the cleaning solution spray was used from the complete bottle.

Amount of spray used = [tex]\frac{1}{4}\times \frac{2}{3}[/tex] of the cleaning solution = [tex]\bold{\frac{1}{6}}[/tex] of the cleaning solution.

Therefore, the answer is:

[tex]\bold{\frac{1}{6}}[/tex] of the bottle was used

Help me please there’s a time limit on this

Answers

Answer:

B

Step-by-step explanation:

12x = 72

x = 6

12 x 6 = 72

Answer:

it would be b.

Step-by-step explanation:

if u plug a number into the x spot it would be 12 x 6 = 72

Which relationship is an example of a proportional relationship?
helppp?

Answers

Answer: “samuel earns $20 for each lawn he mows”

Step-by-step explanation:

The statements that represent proportional relationship are statement [1], [2] and [4].

What is proportional relationship? What is equation modelling? What is a mathematical equation and expression?The proportional relationship between [y] and [x] is given by -

        y = mx + c

        for [c] = 0

        m = y/x

        where [m] is the constant of proportionality.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given are some statements depicting proportional relationship.

For the statement [1], we can write the equation as -

y = 0.08x + 59

For the statement [2], we can write the equation as -

y = 25x + 45

For the statement [1], we can write the equation as -

y = 20x

Therefore, the statements that represent proportional relationship are statement [1], [2] and [4].

To solve more questions on functions, expressions and equation modelling, visit the link below -

brainly.com/question/17421223

#SPJ2

* Select all the expressions whose value is larger than 100.
A 120% of 100
50% of 150
C250% of 50
20% of 800
E 200% of 30
G 19 of 1,000

Answers

I’d say 20% of 800, 19 of 1,000, and 250% of 125

Hope this helps

Question 7 Mai wants to construct a regular hexagon inscribed in the
circle centered at C. Will these instructions work to finish the hexagon
from the construction given? Why? Step 1 Draw the circle centered at D
with radius CD. Step 2 Mark the intersection of the circle with the circle
centered at C, and label that point E. Step 3 Draw the circle centered at E
with radius DE. Step 4 Mark the intersection of the circle with the circle
centered at D, and label that point F. Step 5 Connect ABCDEF to make a
regular hexagon.



Answers

Answer:

Yes

Step-by-step explanation:

3 Dave can drive from Abdet to Bentall by two routes. The old route goes in roughly a straight line while the new faster route is 26% longer. Dave's average speed on the new faster route is 40% higher than his average speed on the old route. (a) By what percentage is Dave's journey time reduced by taking the new route compared to the old? [2]

Answers

Answer:

10 % of the total time will be saved on the new route with the new speed.

Step-by-step explanation:

Let x miles  be the old route. Then the new route would be 1.26 x miles

Let y be the speed on the old route . Then the speed on the new route would be 1.4 y .

And let t be the time on the old route

Speed = Distance / Time

or

Time = Distance / Speed

t= x/y

     Time for the new route   = 1.26x/ 1.4y= 0.9 t

0.9 t means 90% of the old time will be required to cover 1.26x  miles with 1.4 y speed.

And 10 % of the total time will be saved on the new route with the new speed.

alr, this is the last question im asking for today. pls help

Answers

you already know i gotchu :)

Answer: u = 5

Step-by-step explanation:

first, i moved the terms.

-4u + 10u = 37 - 7

then, i collected the like terms and calculated them.

6u = 30

finally, i divided both sides.

u = 5

Mia, Thomas, and Jasmine are competing in a barrel race. Thomas's time is 8 seconds more than Mia's time. Jasmine's time is į times the quantity of 21 seconds more than Mia's time. The sum of all three times is 71 seconds. what represents this situation and what is the value of m

Answers

Given that,

Thomas's time is 8 seconds more than Mia's time.

Jasmine's time is į times the quantity of 21 seconds more than Mia's time

The sum of all three times is 71 seconds.

To find,

The value of m.

Solution,

Let Mia's time is m.

Thomas's time = 8+m

Jasmine's time = 21 + 8+ m

ATQ,

m + 8 + m + 21 + 8 + m = 71

3m + 37 = 71

3 m = 71 - 37

m = 34/3

m = 11.34

So, the value of m or Mia's time is 11.34 seconds.

Answer:

m+1/3(m+21)+m+8=71, m=24

Step-by-step explanation:

PLEASE HELP
GIVE BRAINLIEST

Answers

Answer:

(f ○ g)(- 64) = - 8

Step-by-step explanation:

Evaluate g(- 64) by substituting x = - 64 into g(x), then substitute the value obtained into f(x) , that is

g(- 64) = [tex]\sqrt[3]{-64}[/tex] + 1 = - 4 + 1 = - 3 , then

f(- 3) = (- 3 + 1)³ = (- 2)³ = - 8

can someone please tell me what the range is?

Answers

Answer:   y > -1.5 which is the same as y > -3/2

==========================================================

Explanation:

As x goes off to negative infinity, the term 3^x gets closer to 0.

So the expression 0.5*(3^x - 3) approaches 0.5*(0-3) = 0.5*(-3) = -1.5 = -3/2

The y value will never actually get to -1.5 because 3^x never actually reaches 0. It only gets closer and closer.

So the range is the set of possible y outputs such that y > -1.5 or y > -3/2

This means the horizontal asymptote is y = -3/2 or y = -1.5 which is the horizontal "electric fence" of sorts that the function curve gets closer to, but never touches.

Factor completely. 3x2 + 8x + 5​

Answers

Answer:

(x + 1)(3x + 5)

Step-by-step explanation:

[tex]3 {x}^{2} + 8x + 5 \\ \\ = 3 {x}^{2} + 3x + 5x + 5 \\ \\ = 3x(x + 1) + 5(x + 1) \\ \\ = (x + 1)(3x + 5)[/tex]

Answer:

The answer is (x+1)(3x+5)

let me know if this helps:)

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