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4 years ago

(4 + 2i) + (-3 – 5i) show your work

Mathematics

1 answer:

djyliett [7]4 years ago

3 0

Answer:

$\boxed{ \bold{ \huge{\boxed{ \sf{ - 3i + 1}}}}}$

Step-by-step explanation:

$\sf{(4 + 2i) + ( - 3 - 5i)}$

When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign.

That means the expression remains the same.

Just remove the parentheses

$\sf{4 + 2i - 3 - 5i}$

Collect like terms

⇒ $\sf{ - 3i + 4 - 3}$

Calculate the difference

⇒ $\sf{ - 3i + 1}$

Hope I helped!

Best regards!!

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If m(nx2-y)/z = 5n , find the value of n when m = 6, x = -2, y = -3 and z = -5

Mila [183]

Answer:

-(18/49)=n or approximately n=-0.367

Step-by-step explanation:

our equation is: m(nx²-y)/z=5n in order to find n we need to substitute the values given in the question. when we substitute we get:

6*(n*(-2)²-(-3))/(-5)=5n

6(4n+3)/(-5)=5n (we distribute the 6 in the numerator)

24n+18/-5=5n (we multiply both sides by (-5))

24n+18=-25n (we subtract 24n from both sides)

18=-49n (divide both sides by (-49))

-(18/49)=n or approximately n=-0.367

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3 years ago

Determine f(x-1) f(x)=√x+6-8

docker41 [41]

F(x) = (√ x +6) +8
f(x-1) = (√ x-1 +6) -8
=(√x+5) -8

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3 years ago

A right rectangular pyramid is sliced vertically (down) at the red line by a plane not passing through the vertex of the pyramid

crimeas [40]

The cross-section of a right rectangular pyramid will be shaped similar to the base, that is, a rectangle. Hence, 4th option is the right choice.

If the peak of the rectangular pyramid is directly above the center of the base, it creates a perpendicular to the base, indicating the height of the pyramid. This type of rectangular pyramid is known as the right rectangular pyramid.

A rectangle is a quadrilateral, that is a closed figure with 4 line segments, with all four interior angles at 90°.

When we slice a right rectangular pyramid vertically down at the red line by a plane, not passing through the vertex, of the pyramid will be a dilated image of its base.

A dilated image is an enlarged or diminished image of the preimage, similar with all angles.

Thus, the cross-section of a right rectangular pyramid will be shaped similar to the base, that is, a rectangle. Hence, 4th option is the right choice.

Learn more about right triangular pyramids at

brainly.com/question/27658401

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For complete question, refer to the attachment.