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

Two groups of students were asked how far they lived from their school. The table shows the distances in miles:


Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8


Which statement best compares the mean distances for the two groups?
It is equal for Group A and Group B.
It is greater for Group B than Group A.
Its value for Group A is double the value for Group B.
Its value for Group B is double the value for Group A.

Answers

Answer:

B

Step-by-step explanation

add all numbers then divide by the number of numbers and you get the means

Answer:

B

Step-by-step explanation:

how to write "The product of a number and -2 increased by 10"? ​

Answers

(x•-2)+10 I’m pretty sure
Possible ways

2(x) + 10

x • 2 + 10

x(2) + 10

A hemispherical tank is filled with water and has a diameter of 15 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?

Answers

Answer:

55135 lbs (rounded to the nearest pound)

Step-by-step explanation:

​diameter of tank = 15 ft

Radius = 15/2 =7.5

volume of hemisphere = 2/3 ×π× 7.5³=883.5729

total weight of water = 62.4 × 883.57 = 55134.768

55134.768 rounded to the nearest pound is 55135 lb

♥ Hope this helped ♥

Question 5
3 pts
(6.03)
How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a
numeric value only.) (3 points)
Question 6
4 nts

Answers

Answer:

2

Step-by-step explanation:

Solve the following system

y=1.6x
2x + 2y = 86

Answers

Answer:

The answer is (16.538461(repeated), 26.461538(repeated))

Answer:

x=16.538462 and y=26.461538

geometry solve for x

Answers

Answer:

x = 74 degrees

Step-by-step explanation:

If we assume that this triangle is isosceles, then the sum of the two angles at the bottom is (180 - 32) degrees, or 148 degrees.  The angle x is half that, i. e., x = 74 degrees

Max and Zoe collected 33 pieces of garbage from the beach. Zoe collected twice as many pieces of garbage as Max. How many pieces of garbage did Zoe collected?

Answers

Answer:

beach litter data that had been collected by the TG Marine Litter. ... (e.g. littering fines, voluntary restrictions, additional waste.

Q
is the midpoint of PR¯¯¯¯¯¯¯¯
. If PQ=4x+5,
andQR=2x+25
, what is the value of x

Answers

Answer:

x = 10

Step-by-step explanation:

Q  is the midpoint of PR: PQ = QR

4x + 5 = 2x + 25

2x = 20

x = 10

I need some help with this important question it's for a important grade pls someone really help me with this question.​

Answers

Answer:

45º

Step-by-step explanation:

A triangle always has 180º

C is a right angle which is 90º. Proof is because of the square.

So now we have 90º left and 2 angles left.

90 ÷ 2 = 45

So your answer is 45º

MARK BRAINLY

Make sure to hit the THANKS button :D

  V

  V

Answer:

36

Step-by-step explanation:

17 is the hypotenuse.

For angle A, 10 is the opposite leg.

sin A = opp/hyp

sin x = 10/17

x = sin^-1 10/17

x = 36

Explain why the triangles are similar. Then find the value of x.

Answers

Answer:

well u can find triangles in the shape and they are the same shape just smaller

Step-by-step explanation:

combine like terms

3x+4x= 7x

14-1= 13

then divide by 7

1.85(keep going)  i think THINK this is right im sorry if it isn't

What measure of center should we use to describe the invasive crab problem in the mid-Atlantic region? Median, Mode or Mean

Answers

Answer:

i would go with Mean. Although I’m not entirely sure since the question seems pretty vague

Step-by-step explanation:

Answer:

Its the mean!

Step-by-step explanation:

I got it right on I-Ready!:))

Kathryn bought a magazine for $5 and eight erasers. She spent a total of $45. How much did each eraser cost?

Answers

The answer to your question is 17

Which expression shows four times eight to the fifth?

Answers

Answer:

C. Four times eight to the fifth.

Step-by-step explanation:

A. is four times TIMES 5 (Incorrect, NOT the answer)

B. Is 4 to the eight TIMES 5 (Incorrect, NOT the answer!)

C. Is 4 times eight to the fifth (CORRECT, is the answer.)

D. Is 4 to the eight TIMES 5 again! (Incorrect, NOT the answer!)

     I Hope This Helped! :)

A side of the triangle below has been extended to form an exterior angle of 116. Find the value of x

Answers

Answer:

[tex]x=64 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that

Angle of extension [tex]y=116 \textdegree[/tex]

Generally the angle formed at x is mathematically given as

[tex]x=180-116[/tex]

[tex]x=64 \textdegree[/tex]

Answer:

26°

Step-by-step explanation:

A side of the triangle below has been extended to form an exterior angle of 116°. Find the value of xx.

The answer is 26° i tried 64 and it was incorrect.

what is the slope of this line, simplify if possible!

Answers

Answer:

The slope is 0

Step-by-step explanation:

the line is straight, so the slope is 0. I hope this helps

Approximately 45% of films are rated R if 850 films were recently rated how many were rated R

Answers

Answer:

382.5?????

Step-by-step explanation:

because 850×45% its that

8 - 5xt-8х - 5x
how do I solve this?​

Answers

Answer:

[tex]8 - 5xt - 13x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex]8 - 5xt + ( - 8x - 5x)[/tex]

2) Simplify.

[tex]8 - 5xt - 13x[/tex]

Therefor the answer is 8 - 5xt - 13x.

Help me plsssssssssssssssssssssssssss

Answers

Shshshsha wowowow okk 728

Answer: 37 cm^2

Step-by-step explanation:

Break the shape into two recognizable shapes. In this case a triangle and a square. To find area of a triangle use Area= 1/2 base x height. To find area of a square use Area = length x width. Then add the two together.

Put these numbers in descending order.
0.98
0.925
0.88
0.7

Answers

The descending values of the numbers is 0.98 > 0.925 > 0.88 > 0.7

Given data ,

Let the numbers be represented as A

Now , the value of A is

A = { 0.98 , 0.925 , 0.88 , 0.7 }

And , arranging in the descending order means from the greatest to the least value

So , the value of A is 0.98 > 0.925 > 0.88 > 0.7

Hence , the descending order is 0.98 > 0.925 > 0.88 > 0.7

To learn more about descending order click :

https://brainly.com/question/13174148

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Jean junction is selling jeans at 12% off the regular price. The regular price is $32.00 per pair. What is the discount amount

Answers

Discount amount is 3.75 I think!

Find the value of x. Round to the nearest degree as needed.

Answers

9514 1404 393

Answer:

  x° = 59°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the trig relations. The one applicable here is ...

  Tan = Opposite/Adjacent

  tan(x°) = 5/3

  x° = arctan(5/3) ≈ 59.04°

The value of x is about 59.


Select the three expressions that are equivalent to

-2(4 - 3x) + (5x - 2).


A. 2x - 10

B. 11x - 10

C.-8 + 11x - 2

D. -8 - 11x - 2

E. -8 + 6x + 5x - 2

F. -8 - 3x + 5x - 2

What mathematical process did you use to
simplifying the expression above?

Answers

Answer:

B

Step-by-step explanation:

-2(4 - 3x) + (5x - 2)=

-8+6x+5x-2=11x-10

when there is a number in front of () you multiple every number that is inside the ()

Find the area of the following shape.

Answers

Answer:

Area = 9 cm²

Step-by-step explanation:

The shape given is a kite.

Area of a kite = ½(D1*D2)

Where,

D1 = 6 cm

D2 = 3 cm

Therefore:

Area = ½(6*3)

Area = ½(18)

Area = 9 cm²

The school band is having a car wash to raise money. There goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families.How much more money do they have to earn to reach their goal?

Answers

they’ve already earned $105 so they need $45 more to reach their goal

9. Select a set of corresponding angles.
A Angles M and D
B Angles B and L
C Angles C and J
D Angles K and A

Answers

Answer:

A. Angles M and D

Using the graph , determine the coordinates of the vertex of the parabola

Answers

Answer:

(-4,-4)

Step-by-step explanation:

Delta math

According to graph, the coordinates of the vertex of the parabola are (-4,-4).

What is parabola?

"A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped."

Vertex of parabola

"The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form, the vertex will be the minimum (lowest point) of the graph and the maximum (highest point) of the graph.

After analysing the graph, the vertex of the parabola are (-4,-4)

Learn more about parabola here

https://brainly.com/question/21685473

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Describe the translations of the function f(x) = - ½ (x – 3)2 + 4.
a. reflection, stretch, right 3 and up 4
b. reflection, shrink, right 3 and up 4
c. reflection, shrink, right 3 and down 4
d. shrink, right 4 and down 3

Answers

Answer:

b. reflection, shrink, right 3 and up 4

Step-by-step explanation:

- : reflection across x axis

1/2 : compression vertically by a factor of 1/2

x - 3: shift right 3 units

+ 4: up 4 units

subtract -10 from 100​

Answers

Answer:

110

Step-by-step explanation:

Just trust me mate im in 7th grade

Chad complained to his friend that he had five equations to solve for homework. Are all of the homework problems equations? Justify your answer.

Answers

Answer:

no , 1 , 3 and 4 are expressions as they don't have an equal sign .

hey guy i need help on this

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step:

[tex](12 - 9)^{2} + \frac{15}{3} \\ (3) ^{2} + \frac{15}{3} \\ 9 + \frac{15}{3} \\ 9 + 5 \\ = 14[/tex]

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