Which pair of numbers is opposite? Select all that apply

Which is the equation of an ellipse centered at the origin with foci on x-axis, x-intercepts +7, -7 and y-intercepts +2,

Aleks04 [339]

We know that
foci on x-axis-------> is a ellipse with horizontal major axis

the equation is
(x²/a²)+(y²/b²)=1

major axis is the x-axis with length 2a
2a=14--------> a=7

minor axis is the y-axis with length 2b
2b=4-----> b=2

the equation is
(x²/a²)+(y²/b²)=1------> (x²/7²)+(y²/2²)=1-----> (x²/49)+(y²/4)=1

the answer is
(x²/49)+(y²/4)=1

see the attached figure

7 0

3 years ago

Explain how to determine if something is a vector space or not

nlexa [21]

All you do is referring to the following definition:

Definition: A vector space is a set V on which two operations + and · are defined, called vector addition and scalar multiplication.

The operation + (vector addition) must satisfy the following conditions:

Closure: If u and v are any vectors in V, then the sum u + v belongs to V.

(1) Commutative law: For all vectors u and v in V, u + v = v + u

(2) Associative law: For all vectors u, v, w in V, u + (v + w) = (u + v) + w

(3) Additive identity: The set V contains an additive identity element, denoted by 0, such that for any vector v in V, 0 + v = v and v + 0 = v.

(4) Additive inverses: For each vector v in V, the equations v + x = 0 and x + v = 0 have a solution x in V, called an additive inverse of v, and denoted by - v.

The operation · (scalar multiplication) is defined between real numbers (or scalars) and vectors, and must satisfy the following conditions:

Closure: If v in any vector in V, and c is any real number, then the product c · v belongs to V.

(5) Distributive law: For all real numbers c and all vectors u, v in V, c · (u + v) = c · u + c · v

(6) Distributive law: For all real numbers c, d and all vectors v in V, (c+d) · v = c · v + d · v

(7) Associative law: For all real numbers c,d and all vectors v in V, c · (d · v) = (cd) · v

(8) Unitary law: For all vectors v in V, 1 · v = v

6 0

3 years ago

1) What is the solution of the given system?

m_a_m_a [10]

Answer:

1 x=-2.5 y = -5.5

2. x=5 y=1

Step-by-step explanation:

1) What is the solution of the given system?

5x-y=-7

3x-y=-2

Multiply the second equation by -1

-1*(3x-y)=-1(-2)

-3x +y = 2

Now add the first equation to the modified second equation

5x-y=-7

-3x +y = 2

------------------

2x = -5

Divide each side by 2

2x/2 = -5/2

x = -2.5

Now we need to find y

-3x+y =2

-3(-2.5) +y =2

7.5 +y =2

Subtract 7.5 from each side

7.5 -7.5 +y =2-7.5

y = -5.5

2) what is the solution of the given system?

5x+7y=32

8x+6y=46

Divide the second equation by 2

8x/2+6y/2=46/2

4x+3y =23

Multiply the first equation by 4

4 (5x+7y)=32*4

20x+28y = 128

Now multiply the modified 2nd equation by -5

-5(4x+3y )=-5(23 )

-20x -15y = -115

Lets add the new equations together to eliminate x

20x+28y = 128

-20x -15y = -115

---------------------

13y = 13

Divide each side by 13

13y/13 =13/13

y=1

Now substitute back in to find x

5x+7y=32

5x +7(1) =32

5x +7 =32

Subtract 7 from each side

5x+7-7 =32-7

5x =25

Divide by 5

5x/5 =25/5

x=5

3 0

3 years ago

Before leaving to visit Mexico, Levant traded 270 American dollars and received 3,000 Mexican pesos. When he returned from Mexic

Shtirlitz [24]

The question is incomplete:

Before leaving to visit Mexico, Levant traded 270 American dollars and received 3,000 Mexican pesos. When he returned from Mexico, he had 100 pesos left.

How much will he receive when he exchanges these pesos for dollars?

Answer:

9 dollars

Step-by-step explanation:

To find the amount that Levant will receive when he exchanges these pesos for dollars, you can use a rule of three using the information provided:

270 dollars → 3,000 Mexican pesos

x ← 100 Mexican pesos

x=(270*100)/3,000=9 dollars

According to this, the answer is that he will receive 9 dollars.

4 0

3 years ago

Please help fast. Answer the question below:

LenKa [72]

Either SSS or not possible

Mark if correct!

8 0

3 years ago