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Sonja [21]
3 years ago
12

Let v be the vector from initial point Upper P 1P1 to terminal point Upper P 2P2. Write v in terms of i and j. Upper P 1P1equals

=​(negative 8−8​,44​), Upper P 2P2equals=​(66​,44​)
Mathematics
1 answer:
Anna007 [38]3 years ago
3 0

Answer:

The expression of \vec v in terms of i and j is:

\vec v = 74\cdot i + 0\cdot j

Step-by-step explanation:

Let \vec P_{1} and \vec P_{2} vectors with respect to origin, so that \vec P_{1} = (-8,44) and \vec P_{2} = (66,44). \vec v is a vector of the form:

\vec v = \vec P_{2} - \vec P_{1}

Then,

\vec v = (66,44)-(-8,44)

\vec v = (66 + 8, 44 - 44)

\vec v = (74, 0)

The expression of \vec v in terms of i and j is:

\vec v = 74\cdot i + 0\cdot j

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3 years ago
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Lostsunrise [7]

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6 0
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Given: NM || PO and Angle 1 is congruent To angle 3
borishaifa [10]

Answer:

i. LM || NO  (converse alternate interior angle theorem)

ii. <1 ≅ <2    (alternate interior angle theorem)

Step-by-step explanation:

Two or more lines are said to be parallel if they do not meet when extended, even till infinity.

Alternate angles are said to be equal in measure.

Given that;

<1 ≅ < 3,

Since <2 ≅ <3 (alternate interior angle theorem)

Then,

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Also,

<1 ≅ <2 (alternate interior angle theorem)

Therefore since <1 ≅ <2, thus;

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7 0
3 years ago
Write the equation, in standard form, of a polynomial of the least degree with integral
Hitman42 [59]

Answer:

f

(

x

)

=

3

x

3

−

5

x

2

−

47

x

−

15

Explanation:

If the zero is c, the factor is (x-c).

So for zeros of

−

3

,

−

1

3

,

5

, the factors are

(

x

+

3

)

(

x

+

1

3

)

(

x

−

5

)

Let's take a look at the factor

(

x

+

1

3

)

. Using the factor in this form will not result in integer coefficients because

1

3

is not an integer.

Move the

3

in front of the x and leave the

1

in place:

(

3

x

+

1

)

.

When set equal to zero and solved, both

(

x

+

1

3

)

=

0

and

(

3

x

+

1

)

=

0

result in

x

=

−

1

3

.

f

(

x

)

=

(

x

+

3

)

(

3

x

+

1

)

(

x

−

5

)

Multiply the first two factors.

f

(

x

)

=

(

3

x

2

+

10

x

+

3

)

(

x

−

5

)

Multiply/distribute again.

f

(

x

)

=

3

x

3

+

10

x

2

+

3

x

−

15

x

2

−

50

x

−

15

Combine like terms.

f

(

x

)

=

3

x

3

−

5

x

2

−

47

x

−

15

5 0
3 years ago
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8_murik_8 [283]

Answer:

11.6

Step-by-step explanation:

6 0
3 years ago
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