In the orthonormal system (O; i⃗,j⃗) below, consider point A(3, −1), vector v⃗(2,1), and
straight line (d).
Let (d’) be the line of equation y = −2x + 5.
1. Show that A belongs to (d’).
2. Draw the straight line (d’).
3. Write a Cartesian equation of line (d).
4. What is the relative position of the lines (d)
and (d’)? Justify your answer.
5. Write the reduced equation of the straight
line(D) defined by (A, ⃗v⃗).
6. Deduce that the two lines (D) and (d) are
perpendicular.
7. Determine the coordinates of the point of
intersection I of the two lines (d) and (D).

Answers

Answer 1

Answer:

Step-by-step explanation:


Related Questions

A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)

Answers

Answer:

653.91 squared or 326.955 not squared

Step-by-step explanation:

We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!

The first step is

A^2 + B^2 = C^2

2 step

4.7^2 + B^2 = 26^2

3 step

4.7 x 4.7 =  22.09  and 26 x 26 = 676

4 step

22.09 + B^2 = 676

5 step

676 - 22.09 = 653.91

6 step

Answer

653.91 squared or 326.955 not squared!

hope this helps

Help I will be marking brainliest!!!

A. 4.95 feet
B. 21.44 feet
C. 22.58 feet
D. 21.99 feet

Show work, if possible. Thanks❤️

Answers

Answer:

B

Step-by-step explanation:

A right triangle is formed by the ground, the side of the house and the ladder.

The hypotenuse is the ladder

let the side of the house be h

Using the sine ratio in the right triangle formed, then

sin77° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{22}[/tex] ( multiply both sides by 22 )

22 × sin77° = h , then

h ≈ 21.44 ( to the nearest hundredth )

The ladder reaches 21.44 ft up the side of the house

mhanifa or someone else can you PLZ answer this

Answers

Answer:

[tex] \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Step-by-step explanation:

[tex] \frac{7n}{n + 1} + \frac{8}{n - 7} \\ \\ = \frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 1)} \\ \\ = \frac{7 {n}^{2} - 49n + 8n + 8 }{ {n}^{2} - 1 } \\ \\ = \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Answer:

Simplified:

[tex]\frac{7n}{n + 1} + \frac{8}{n - 7}[/tex]   =[tex]\frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 7)}[/tex]   =[tex]\frac{7n^2 - 49n + 8n + 8}{n^2 + n - 7n - 7}[/tex]   =[tex]\frac{7n^2 - 41n + 8}{n^2 - 6n - 7}[/tex]

This can be further simplified if required

[tex]\frac{7n^2 - 42n -49 + n + 57}{n^2 - 6n - 7}[/tex] =[tex]7 + \frac{n + 57}{n^2 - 6n - 7}[/tex]

Expand 3(m + 7).
3(m + 7) =

Answers

3m + 21
This is correct I think

Please help! I don't understand. view photo.​

Answers

Answer:

Step-by-step explanation:

they are asking about the exponential

b/c it has a 3 in the exponent, it's a cubic   and because it has two terms you can call it a binomial

What is the reflected across y-axis and reflected across x-axis for (-2, 6)​

Answers

across the y axis it will be (2, 6)

if reflected across x axis it will be (-2, -6)

please help me, i'll give you brainlyist
20 points (maths)

Answers

Answer:

Your answer would be 3/5 or 3:5

Step-by-step explanation:

Find a polynomial f(x) of degree 4 that has the following zeros. 0, -4, 6, -8

Answers

Answer: -10 I think

Step-by-step explanation:

What are the coordinates of V' when (T<-3, 1> ° D.)(TUV) of T(-7,-6), U(-8, 3), V(2, 1)?

Answers

Answer:(332)

Step-by-step explanation:

DESPERATE WILL GIVE BRAINLIST AND THANKS
Which associations best describe the scatter plot?

Select each correct answer.


Nonlinear association

Positive association

Linear association

Negative association

Answers

Answer:

D) I think

Step-by-step explanation:

Answer: From the graph all the points are moving in tandem and shows a directly proportional relation between them . Hence, positive linear association best describe the scatter plot.

Step-by-step explanation:

find measure of missing angle

Answers

Answer:

18

Step-by-step explanation:

properties of a triangle: all the angles add up to 180 degrees

so

180 - 90 - 72 = 18

answer is 18 degrees

A lacrosse player throws a ball into the air from a height of 8 feet with an initial vertical
velocity of 32 feet per second. What is the maximum height of the ball? When will the ball hit the ground?

Answers

Answer:

256

Step-by-step explanation:

Read the answer carefully and then you'll know hey i need to multiply 8 times 32.

And what do you get...... 256

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]

In which:

[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.

In this problem:

Height of 8 feet, thus [tex]h_0 = 8[/tex].Initial velocity of 32 feet per second, [tex]v_0 = 32[/tex]

The equation is:

[tex]h(t) = -4.9t^2 + 32t + 8[/tex]

Which is a quadratic equation with [tex]a = -4.9, b = 32, c = 8[/tex].

The maximum height is the output of the vertex, which is:

[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Then, with the coefficients of this question:

[tex]h_{MAX} = -\frac{32^2 - 4(-4.9)(8)}{4(-4.9)} = 60.2[/tex]

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which [tex]h(t) = 0[/tex], thus:

[tex]\Delta = b^2 - 4ac = 32^2 - 4(-4.9)(8) = 1180.8[/tex]

[tex]t_{1} = \frac{-32 + \sqrt{1180.8}}{2(-4.9)} = -0.12[/tex]

[tex]t_{2} = \frac{-32 - \sqrt{1180.8}}{2(-4.9)} = 3.39[/tex]

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

A similar problem is given at https://brainly.com/question/24626341

[tex]21\geq 12+x[/tex]

Answers

Answer : Inequality form : x <_ 9

Interval Notation: ( - ∞, 9)

Find the value of x. (Round to the nearest tenth as needed.)​

Answers

Answer:

Hope that answers your question

Caleb cut a rope into 4 pieces. The lengths of the pieces of rope are 5 2/8 inches, 7 7/8 inches, 4 1/8 inches, and 3 3/8 inches. Which choice is the closest estimate of the length of the original rope

Answers

Answer:

the actual answer is 20.625 and since there aren't any choices I'll give u my estimated answer: 20

Step-by-step explanation:

I got my estimated answer by rounding each length of rope down or up according to if it was less than 4/8 or higher. example: rounded 7 7/8 to 8

hope this helps <3

HELPP! BRAINLIEST AND 10 POINTS !!

what is the height of this triangle?

A. 2 units
B. 3 square units
C. 3 units
D. cant be determined

Answers

Answer:

I think it's 3 units so you got that right

Answer:

its the first one

Step-by-step explanation:

Solve for x. 2x−5=−x+7

Answers

Answer:

x = 4

Step-by-step explanation

2x−5+x=−x+7+x

3x−5=7

3x−5+5=7+5

3x=12

x=4

Answer:

x = 4

Step-by-step explanation:

You need to isolate the variable on one side first so that the equation is easier to solve.  To do that, add x to both sides to get 2x + x, which is 3x.  This gets rid of the -x on the other side and results with the new equation

3x - 5 = 7.   Add 5 to both sides to get 3x = 12, then divide both sides by 3 to get x = 4.  

You can check your work by plugging in 4 for x.  

2(4) - 5 = -(4) + 7

8 - 5 = 3

3 = 3

Therefore, x is equal to 4.  

Hope this helped!  Have a good day!  

hurry what is 1000 x 1000...........

Answers

Answer:

1,000,000

Step-by-step explanation:

How tall is a building 100 feet away if the angle of elevation from the ground to the
top of the building is 20 degrees?

Answers

Answer:

i think it is 50ft but i'm not too sure

Step-by-step explanation:

if you take the 100ft and than use the 20 degrees and divide them you get 50 ? so maybe, just 100 divided by 20

If l m, identify the angle pair as congruent or supplementary. Justify your reasoning by classifying the angle pair

Answers

Answer:

Not them Still deleting answers

Step-by-step explanation:

you can buy 5 cans of black beans for $2.40. What is the unit price?
help me please I beg of you math lords

Answers

Answer: $0.48 (48 cents per can)

Steps: 2.40 = 5x
2.40/5 = x
0.48 = x
48 cents per can

Answer:

48 cents

Step-by-step explanation:

divsion sorry im not a math lord

help please and thank you
!!

Answers

Answer:

f(x) = 2ˣ + 1

Step-by-step explanation:

Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.

The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.

For (3, 9):

f(x)  =  3ˣ  =  3³  =  27

f(x)  =  2ˣ + 1  =  2³ + 1  =  8 + 1  =  9

The last equation is the equation that is represented by the table.

Hana writes the equation y=5.5x+11 if she buys 8 books what is the amount spent if she buys 8 books.

Answers

55$ because x is the amount of books so plug it in 5.5(8)+11= 55

II.
What is the area of this parallelogram?
in2
h = 5 in.
b = 6 in.
Pls help :)

Answers

The answer is h= 5 inches. Hope it helps

Answer:  30 in²

Step-by-step explanation:

Area = base x height

A = 6 in x 5 in

A = 30 in²

If Maya’s crew paints the platform at a rate of 720 feet per hour, determine how long to the nearest hour it will take them to paint the entire platform. ( read and respond)

Answers

Answer:

400/2.5 = 720/x

 

400x = 720 x 2.5

 

x = 4.5

Step-by-step explanation:

The required hours it would take to paint the entire platform is given as x/720. Where x is the length of measure of the platform.

What is rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Maya’s crew paints the platform at a rate of 720 feet per hour,
Let the length of the platform be x,
Now,
Divide  the length with the rate, giving the time to paint the complete platform,
Time = length/rate
Time = x / 720

Thus, the required hours it would take to paint the entire platform is given as x / 720. Where x is the length of measure of the platform.

Learn more about rate of change here:

https://brainly.com/question/13103052

#SPJ6

Look below giving brainliest

Answers

Answer:

15

Step-by-step explanation:

I think it's 15....yeah

Find X. This is a 40°, 40°, 90° triangle.

Answers

Answer:

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.

Step-by-step explanation:

-2/7 ÷ (-8/21) step by step answer

please this homework is due today its benchmark practice and i have to sleep like in 10 or 7 min like no joke​

Answers

Answer:

1.3

Step-by-step explanation:

first, divide the parentheses:-8/21= -0.380952

second, dived -2/7= -0.285714

now divide both of them   -0.380952 ÷ -0.285714 = 1.3

Which equation can be used to solve for b?

Answers

Answer:

tan(30)=5/b

Step-by-step explanation:

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

one hundred and sixty-two thousandths as a decimal​

Answers

Answer:

0.0162

Step-by-step explanation:

Cause it is

Answer:

0.162

Step-by-step explanation:

one hundred and sixty-two thousandths

162/1000 = 0.162

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