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nlexa [21]
3 years ago
8

From the sum of 5-9i and -4+7i, subtract 14-3i

Mathematics
1 answer:
Kryger [21]3 years ago
5 0

Answer:

Subtract: 5 - 9i = 5-9i  

Add: the result of step No. 1 + (-4) = (5-9i) + (-4) = (5-4) + (-9i) = 1-9i  

Add: the result of step No. 2 + 7i = (1-9i) + 7i = 1 + (-9+7)i = 1-2i

Subtract: 1 - 2i = 1-2i  

Subtract: the result of step No. 1 - 4 = (1-2i) - 4 = (1-4) + (-2i) = -3-2i  

Add: the result of step No. 2 + 7i = (-3-2i) + 7i = -3 + (-2+7)i = -3+5i

Step-by-step explanation:

Correct me if I'm wrong pls and ty :).

Hope this helps.

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Answer:

Step-by-step explanation:

figure one

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figure 2

formula length x width x height

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2 years ago
Find the perimeter of the triangle defined by the coordinates (7, 1), (-6, 1), and (10, 6). (Round to nearest tenth)
matrenka [14]

Answer:

35.6\ units

Step-by-step explanation:

we know that

The perimeter of triangle is equal to the sum of the length of the three sides

Let

A(7, 1), B(-6, 1), C(10, 6)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Find the distance AB

A(7, 1), B(-6, 1)

substitute in the formula

d=\sqrt{(1-1)^{2}+(-6-7)^{2}}

d=\sqrt{(0)^{2}+(-13)^{2}}

dAB=13\ units

Find the distance BC

B(-6, 1), C(10, 6)

substitute in the formula

d=\sqrt{(6-1)^{2}+(10+6)^{2}}

d=\sqrt{(5)^{2}+(16)^{2}}

dBC=16.8\ units

Find the distance AC

A(7, 1), C(10, 6)

substitute in the formula

d=\sqrt{(6-1)^{2}+(10-7)^{2}}

d=\sqrt{(5)^{2}+(3)^{2}}

dAC=5.8\ units

Find the perimeter

P=dAB+dBC+dAC

P=13+16.8+5.8=35.6\ units


4 0
3 years ago
Solve for a: 5(a+5)-3=3(2-a)
ivann1987 [24]

Simplify:

5(a + 5) + -3 = 3(2 + -1a)

Reorder the terms:

5(5 + a) + -3 = 3(2 + -1a)

(5 * 5 + a * 5) + -3 = 3(2 + -1a)

(25 + 5a) + -3 = 3(2 + -1a)

Reorder the terms again:

25 + -3 + 5a = 3(2 + -1a)

Combine like terms:

]25 + -3 = 22

22 + 5a = 3(2 + -1a)

22 + 5a = (2 * 3 + -1a * 3)

22 + 5a = (6 + -3a)

Solve:

22 + 5a = 6 + -3a

To solve for variable 'a':

You have to move all terms containing A to the left, all other terms to the right.

Then add '3a' to each side of the equation:

22 + 5a + 3a = 6 + -3a + 3a

Combine like terms:

5a + 3a = 8a

22 + 8a = 6 + -3a + 3a

Combine like terms again:

-3a + 3a = 0

22 + 8a = 6 + 0

22 + 8a = 6

Add '-22' to each side of the equation.:

22 + -22 + 8a = 6 + -22

Combine like terms:

22 + -22 = 0

0 + 8a = 6 + -22

8a = 6 + -22

Combine like terms once more:

6 + -22 = -16

8a = -16

Divide each side by '8'.

a = -2

Simplify:

a = -2

Answer: a=-2

Hope I could help! :)

8 0
3 years ago
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Answer:

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x=8

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6 0
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