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qwelly [4]
3 years ago
8

A) a clockwise rotation of 270 degrees about the origin

Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

C. A reflection over the y-axis

Step-by-step explanation:

The correct answer would be choice "C" because first off, you can see that the shape hasn't grown/shrink. We can also see that it doesn't seemed to have rotated, otherwise it would be flipped in a certain direction. So, now we're left with a reflection over the y-axis/reflection over x-axis.

If the shape had reflected over the x-axis, it would be in the lower quadrants of the graph, since it would be flipped over a horizontal line. But instead, the shape has flipped to the left, making it a reflection over the y-axis.

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Prove that a triangle with the sides a - 1 cm to root under a ​
vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.  

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm  

Hence,

{AB}^2 = (a -1)^2 

Now We know that

(a- b)^2 = a^2+b^2 - 2ab

So;

{AB}^2= a^2 + 1^2 -2\times a \times1

{AB}^2 = a^2 + 1 -2a

Now;

{BC}^2 = (2\sqrt{a})^2= 4a

Also;

{CA}^2 = (a + 1)^2

Now We know that

(a+ b)^2 = a^2+b^2 + 2ab

{CA}^2= a^2 + 1^2 +2\times a \times1

{CA}^2 = a^2 + 1 +2a

{CA}^2 = AB^2 + BC^2

[By Pythagoras theorem]

a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a

Hence, {CA}^2 = AB^2 + BC^2

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0
3 years ago
What is the value of a and b F(x)=x(x+a)(x-b)
nalin [4]
Unfortunately, Tashara, you have not provided enuf info from which to calculate the values of a and b.  If you were to set  <span>F(x)=x(x+a)(x-b)  = to 0, then:

x=0,
x=-a
x=-b

but this doesn't answer your question.
Double check that you have shared all aspects of this question.</span>
8 0
3 years ago
Read 2 more answers
Urgent!
AfilCa [17]

Answer:

The polynomial will be P(x) = - 5 (x + 2)²(x - 3)

Step-by-step explanation:

The degree of the polynomial P(x) is 3 and it has zeros at x = - 2 with multiplicity 2 and at x = 3 with multiplicity 1.

Therefore, (x + 2)² and (x - 3) are the factors of the equation.

Let the polynomial is

P(x) = a(x + 2)²(x - 3) ........... (1)

Now, the polynomial passes through the point (2,80).

So, from equation (1) we gat,

80 = a(4)²(-1)

⇒ a = - 5

Therefore, the polynomial will be P(x) = - 5 (x + 2)²(x - 3) (Answer)

6 0
3 years ago
I dont really understand this and i need it done by the end of the dday
irakobra [83]

Answer:

1.

A: GI= 60

B:  MH= 14

C: IK= 23

D: HI=  46

E: MG= 24

2.

A: TU= 38

B: VY= 17

C: UZ= 15

D: WV= 15

E: TV= 30

Step-by-step explanation:

This probally isnt all right but most of it most likely is.

6 0
2 years ago
What’s twice the difference of a number and 8 is at least -20 using x as a variable into a inequality please help!!!
alexdok [17]
the answer is x-8=20
7 0
3 years ago
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