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Marysya12 [62]
3 years ago
14

For the problem -4(-5)(9), will the answer be positive or negative?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer:

Positive

Step-by-step explanation:

-4(-5)(9)

Negative cancels out negative, so it makes a positive:

20(9)

Simplify normally to get 180 as your final answer.

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What is each power of i with its multiplicative inverse.
pentagon [3]

Answer:

1) multiplicative inverse of i = -i

2) Multiplicative inverse of i^2 = -1

3) Multiplicative inverse of i^3 = i

4) Multiplicative inverse of i^4 = 1

Step-by-step explanation:

We have to find multiplicative inverse of each of the following.

1) i

The multiplicative inverse is 1/i

if i is in the denominator we find their conjugate

=1/i * i/i\\=i/i^2\\=We\,\, know\,\, that\,\, i^2 = -1\\=i/(-1)\\= -i

So, multiplicative inverse of i = -i

2) i^2

The multiplicative inverse is 1/i^2

We know that i^2 = -1

1/-1 = -1

so, Multiplicative inverse of i^2 = -1

3) i^3

The multiplicative inverse is 1/i^3

We know that i^2 = -1

and i^3 = i.i^2

1/i^3\\=1/i.i^2 \\=1/i(-1)\\=-1/i * i/i\\=-i/i^2\\= -i/-1\\= i

so, Multiplicative inverse of i^3 = i

4) i^4

The multiplicative inverse is 1/i^4

We know that i^2 = -1

and i^4 = i^2.i^2

=1/i^2.i^2\\=1/(-1)(-1)\\=1/1\\=1

so, Multiplicative inverse of i^4 = 1

3 0
3 years ago
The angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum o
Airida [17]

Step-by-step explanation:

It is given that the angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum of 540.

<u>Let me define the each terms.</u>

1. We know that each angle in a triangle is 60°, So there is a three angle in a regular triangle.

  • 60° + 60° + 60°
  • 180°

2. We know that each angle in a rectangle, is 90°, So there is a four angle in a regular rectangle.

  • 90° + 90°+90°+90°
  • 360°

Similarly,

  • There is 8 angle in a regular octagon and each angle measurement is 135°.

So, sum of the angles of an octagon = 135° × 8

Sum of the angles of an octagon = 1080°

Therefore, the required sum of the angles of an octagon is 1080°

6 0
3 years ago
How can i change 3.25 into fraction. also how can i change .115 into fraction
hjlf

Answer:

3.25 can be changed to either 3 and 1/4 or 13/4.


.115 can be reduced in a fraction to 23/200

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
____ is a line that passes through exactly one point on a circle
lapo4ka [179]

Answer:

Radius????????????????

5 0
2 years ago
Identify an equation in point-slope form for the line parallel to y = 1*-7 that
kakasveta [241]

<u><em>Answer:</em></u>

y + 2 = 1 (x+3) ............> y + 2 = x + 3

<u><em>Explanation:</em></u>

<u>The general form of the equation of a line in point-slope form is:</u>

y - y₁ = m (x - x₁)

<u>where:</u>

m is the slope of the line

(x₁ , y₁) is a point that belongs to the line

<u>The general form of the equation of a line in slope-intercept form is:</u>

y = mx + c

<u>where:</u>

m is the slope

c is the y-intercept

<u>1- Getting the point:</u>

We are already given the point (-3 , -2) so we'll directly use it

<u>2- Getting the slope</u>

<u>We are given that our line is parallel to the line:</u>

y = 1x - 7

We know that parallel lines have equal slopes

<u>This means that:</u>

slope of the line we want = 1

<u>3- Getting the equation:</u>

Substitute with the point and slope in the above form to get the equation

<u>This is done as follows:</u>

y - y₁ = m (x - x₁)

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

y + 2 = 1 (x + 3)

y + 2 = x + 3

Hope this helps :)

4 0
3 years ago
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