Point P lies on the directed line
segment from A(-2, 4) to B(7, -2), and
partitions the segment in the ratio 1 to 2.
Find the coordinates of P

Answers

Answer 1

Answer:

Step-by-step explanation:

The vector AP is in the same directionas AB but its length is 1/3 of AB

No AB = (7-(-2)) i + (-2-4)j = 9i -6j.

It follows that AP = (1/3)(9i-6j) = 3i - 2j.

Now OP = OA +AP = (-2i + 4 j ) + (3i-2j) = i + 2j

So P(1,2).


Related Questions

Find the amplitude of f(x) = 8 sin(6x + 4) – 3.

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

The amplitude is the coefficient of the sine function: 8.

Answer:

8

Step-by-step explanation:

Amplitude is the onehalf of highest value minus the lowest value

since sine function has maximum 1 and minimum -1, then the highest value of f(x) is 8(1) - 3 = 5 and the minimum value is 8(-1)-3 = -11.

Therefore the amplitude is (1/2) ( 5 +11) = 8.

Find the value of 9 ÷ 2/5​

Answers

Answer:

22(½)

Step-by-step explanation:

9 ÷ 2/5

9 × 5/2

45/2

22(½)

Answer:

Hello!

9 ÷ 2/5 = 9 × 5/2 = 45/2

x – Зу +8x47+ 15 – 4у

Answers

Answer:

X-7y+391

Step-by-step explanation:

First multiply

8x47=376

Now group those that are the same together

X-3y -4y+376 +15

X-7y+391

Answer:

x - 7y + 391

Step-by-step explanation:

[tex]x - 3y + 8 \times 47 + 15 - 4y[/tex]

[tex]x - 3y + 376 + 15 - 4y[/tex]

[tex] - 3y - 4y = (- 3 - 4)y = - 7y[/tex]

[tex]x - 7y + 376 + 15[/tex]

[tex] = x - 7y + 391[/tex]

Solve this problem and show the steps please because I’m so confused

Answers

Answer:

= 77

Step-by-step explanation:

{3 × [tex]2^{2}[/tex] - 3} -2 × 11

Solve the brackets first

{ 3 × 4  - 3} -2 × 11

{12 - 3 }  -2 × 11

9  -2 × 11

9  -22

= -13

Answer:

-13

Step-by-step explanation:

Solve in the bracket first

(3*4 -3) -2 * 11

(12 - 3) -22

9 - 22

-13 is the final answer

Number 2? I’m so confused..

Answers

Answer:

answer is 4. each square is 0.5

Step-by-step explanation:

Hytgvvuccuchccucucuvff hxhxhxhxu u uh

Answers

Answer:

Angle 6 = 120 (corresponding angles)

Correct^^^^^^^^^^^^^^^^^^%

Find the slope and y-intercept of the following line.
- 10 - x= -5
BER
Find the slope of the line. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is
(Simplify your answer. Type an integer or a fraction.)
B. The slope of the line is undefined.
(Answer quickly)

Answers

Answer:

The Slope of the line is undefined

Step-by-step explanation:

what is the solution to 2x+3= -7

Answers

2x + 3 = -7

2x = -7 - 3

2x = -10

x = -10/2

Answer:

Step-by-step explanation:

2x +  3 = -7

2x = -10

x = -5

Please help review this explain why its wrong and tell me whats right pls

Answers

The answer would be 0, -1,-5,-7

Answer:

for 1st one B is corret

for 2nd one D is correct

Step-by-step explanation:

Arrange the following integers in ascending order, putting the smallest first. Look at the negative numbers first. The smallest negative number is -35, then -2. Then look at the positive numbers.




Select two ratios that are equivalent to 27: 9.
Choose 2 answers:

Answers

Answer:

1. 9:3

2. 3:1

Step-by-step explanation:

Hope it really helps you

How do you do this. Please give a full answer and explain why.

Answers

Law of Exponent

[tex] \displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }[/tex]

Compare the terms.

[tex] \displaystyle \large{ {a}^{ - n} = {( - 2)}^{ - 3} }[/tex]

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

[tex] \displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ {( - 2)}^{ 3} } }[/tex]

Exponent Def. (For cubic)

[tex] \displaystyle \large{ {a}^{3} = a \times a \times a }[/tex]

Factor (-2)^3 out.

[tex] \displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}[/tex]

(-2) • (-2) = 4 | Negative × Negative = Positive.

[tex] \displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{4 \times ( - 2)}}[/tex]

4 • (-2) = -8 | Negative Multiply Positive = Negative.

[tex] \displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ - 8}}[/tex]

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

[tex] \displaystyle \large \boxed{ {( - 2)}^{ - 3} = - \frac{1}{ 8}}[/tex]

The answer is - 1 / 8

help me plss im timed :(

Answers

Answer:

-138u+56

Step-by-step explanation:

(-8×-10u)+(-8×6u)+(-8×-7)-10u

-80u+(-48u)+56-10u

-80u-48u-10u+56

-138u+56

Answer:

22u + 56

Step-by-step explanation:

https://mathsolver.microsoft.com/en/solve-problem/-8%20%60left(%20-10u%2B6u-7%20%20%60right)%20%20-10u

I need help please!!!
Worth 10 points will give brainliest if correct!​

Answers

Answer:

the x coordinate is 1 and the y coordinite is 5

[IMAGE ATTACHED]
I don’t understand this please help.

Answers

Answer:

9

Step-by-step explanation:

1. You would make these to equations equal to each other because there are parellel(they have the same angel)

2. EQUAL these 2 equations together to find r.

3. SOLVING for r

7r - 5 = 6r + 4

r = 9

Simplify 6^9/6^3

20 characters :/

Answers

Answer:

=46,656

Step-by-step explanation:

=6^9                               =6^3

=10,077,696                   =216

          =10,077,696 / 216

        =46,656

Plsssssssssssssssssssss help me fast

Answers

Answer:

The answer is 95cm2

Step-by-step explanation:

A=b×h

=19×5

= 95 cm2

please mark me the brainliest

Area of a parallelogram=base×height
Area=19×5=95cm²

Hope my answer helped u :)

f(x)=x2

g(x)=x−3

Find the composition of the two functions and show your process:

f(g(x))

Answers

Answer:

x²-6x+9

Step-by-step explanation:

f(x) = x²

g(x) = x-3

f(g(x)) = (x-3)²

=(x-3) (x-3)

= x²-3x-3x+9

= x²-6x+9

Answer:

[tex]f(x) = {x}^{2} \\ g(x) = x - 3 \\ f(g(x) = f(x - 3) = {(x - 3)}^{2} \\ = {x}^{2} - 2 \times x \times 3 + {3}^{2} \\ = {x}^{2} - 6x + 9 \\ thank \: you[/tex]

Liam's monthly bank statement showed the following deposits and withdrawals:
$32.35, -−$114.95, $63.09, $98.79, -−$79.41
If Liam's balance in the account was $62.45 at the beginning of the month, what was the account balance at the end of the month?

Answers

Answer:

I think it's $62.32?

Step-by-step explanation:

1. $62.45 USD subtracted by ($114.95 + $79.41) = -131.91 USD

2. $-131.91 + ($32.35 + $63.09 + $98.79) = $62.32

Error Analysis jeremy incorrectly says that 2 1/8 is the same as 2.18 Convert 2 1/8 to a decimal correctly. Then explain ​'s likely error.

Answers

Answer:

1 divided by 8 = 0.125 let's replace the 0 with a 2 since 2 is the whole number = 2.125 is correct

Step-by-step explanation:

Jeremy has mistaken 2 1/8 as 2.18 probably because he thought 1/8 was 0.18

The correct decimal value is 2.13.

We have Jeremy who incorrectly said that [tex]2\frac{1}{8}[/tex] is the same as 2.18.

We have Convert [tex]2\frac{1}{8}[/tex] to a decimal correctly.

How will you convert the mixed fraction -  [tex]5\frac{2}{3}[/tex] to normal fraction?

The method to convert the mixed fraction to normal fraction is -

[tex]5\frac{2}{3}\\[/tex] = [tex]\frac{3\times 5 +2}{3} = \frac{17}{3}[/tex]

According to question, we have -

Mixed fraction = [tex]2\frac{1}{8}=\frac{17}{8}[/tex] = 2.125 = 2.13

Hence, the correct decimal value is 2.13.

To solve more questions on Error analysis, visit the link below -

https://brainly.com/question/11152559

#SPJ2

Joe reads 24 chapters of a book in 8 hours. What is his rate chapters per hour?

Answers

24 chapters in 8 hours = 3 chapters per hour

24 : 8 = 3

Answer:

3

Step-by-step explanation:

The rate formula is to divide the length by the time.

In this, 24 chapters is the length and 8 hours is the time.

Divide:

24/8 = 3

So, the speed is 3 chapters per hour

Hope this helped.

10⁴ has how many zeros?​

Answers

Answer:

4 zeros

Step-by-step explanation:

10·10·10·10=10000

Answer:

10,000.

Step-by-step explanation:

10 to the power of 4 = 10 x 10 x 10 x 10 = 10,000. hope this helps

Order the following decimals from least to greatest (separated by
commas).
0.33 0.83 0.2 0.57 0.5

Answers

Answer:

0.2, 0.33, 0.5, 0.57, 0.83

0.2 ,0.33, 0.5,0.58,0.83

A rectangle has sides measuring (4x + 5) units and (3x + 10) units.

Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points)

Part B: What are the degree and classification of the expression obtained in Part A? (3 points)

Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

Answers

Answer:

PART A :

AREA OF RECTANGLE = LENGTH × BREADTH

A = (4x + 5) (3x + 10)

A = 12(x^2) + 55x + 50

PART B: The above is a trinomial with the second degree. Trinomial because it has 3 terms and second degree because the variable(x) is squared.

PART C : Closure under addition and multiplication. Look at the signs.

What equation results from completing the square and then factoring?
x2 + 16x = 41

Answers

Answer:

D. (x+8)^2=105 A P E X

Step-by-step explanation:

find the relative error of the number 8.6 if both of it's digits are correct​

Answers

HOPE THIS HELPS YOU...PLEASE MARK ME AS BRAINILIST......

Answer:

if the X number is rounded up to N decimal place then EA=12(10-N)

Complete the table of values.

Answers

(0,-7)
(3,0)
(-3, -14)

Maths f(x) type of question please help

Answers

Since 1 < x < 5, adding each side by a, where a is negative, gives

a > ax > 5a

and adding b to each side gives

a + b > ax + b > 5a + b

or

5a + b < ax + b < a + b

Since 7 < f(x) < 23, it follows that

5a + b = 7

a + b = 23

Solve for a by eliminating b :

(5a + b) - (a + b) = 7 - 23

4a = -16

a = -4

Solve for b :

-4 + b = 23

b = 27

Determine if each term is synonymous to SLOPE.

Answers

Answer:

A to C and B to D

Step-by-step explanation:

Thats how it works dude/Bro

2____+2_____=5_____
what are the nouns

Answers

Answer:

nous hkgjgjdoyufslhddigxupfFuDdyYofzufzplud

write a decimal equivalent to the fraction
[tex]-\frac{7}{10}[/tex]

Answers

9514 1404 393

Answer:

  -0.7

Step-by-step explanation:

7 goes in the tenths place. That's what seven tenths means. Of course, the decimal number has the same negative sign.

  -0.7

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