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Lera25 [3.4K]
3 years ago
7

Can someone check my work?. 1. Simplify the given expression.. (7 − 3i) • (2 − i) . 4 + i (MY ANSWER) . . 14 + 3i . . 11 − 13i .

. 14 − 10i . 2. Simplify the given expression.. (−5 + 3i) • (1 − 2i) . −5 − 6i (MY ANSWER). . 1 + 13i . . 2 + i . . 4 − 5i . 3. Simplify the given expression.. (1 + 3i) + (2 − 5i) . . −1 − 2i . . 3 − 2i (MY ANSWER). . 4 − 3i . . 5 + 6i . 4. Simplify the given expression.. (6 + 2i) − (8 − 3i) . . −2 + 5i (MY ANSWER). . −2 − i . . 8 + 5i . . 8 − 5i .
Mathematics
1 answer:
Annette [7]3 years ago
4 0
1. (7 − 3i) • (2 − i)
It is simplified as follows:
14 - 7i  -6i - 3
11 - 13i

2. <span>(−5 + 3i) • (1 − 2i) 
</span><span>It is simplified as follows:
</span><span>-5 + 10i + 3i + 6
1 + 13i

3. (1 + 3i) + (2 − 5i) 
</span><span>It is simplified as follows:
</span>1 + 3i + 2 − 5i<span>
3 - 2i

4. (6 + 2i) − (8 − 3i) 
</span><span>It is simplified as follows:
</span><span>6 + 2i − 8 + 3i
</span>-2 + 5i
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Someone please help me with this ​
mina [271]

Answer:

The answer is 42.

Step-by-step explanation:

5n - 13 = 42

5n = 42 + 13

5n = 55

n = 11

explanation about the solution = The angles formed by the segments measuring 42 and 5n - 13 are equal in measure which means the segments are as well.

5 0
3 years ago
Given f(x)=4x+5 and g(x)= x^2+x; find (f∘g)(-5)<br> Please show all steps thank you
Greeley [361]

Answer:

(f\circ g)(-5)=85

Step-by-step explanation:

We are given:

\displaystyle f(x)=4x+5\text{ and } g(x)=x^2+x

And we want to find:

(f\circ g)(-5)

This is equivalent to:

\displaystyle =f(g(-5))

So, we will evaluate g(-5) first, which yields:

\displaystyle g(-5)=(-5)^2+(-5)=25-5=20

So:

=f(g(-5))=f(20)

Then:

\displaystyle f(20)=4(20)+5=80+5=85

Therefore:

(f\circ g)(-5)=85

6 0
3 years ago
Write the quadratic equation y= x^2 -6x = 7 in vertex form.
lapo4ka [179]

Answer:

(x - 3)² - 16 = 0

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Subtract 7 from both sides

x² - 6x + 7 = 0 ← in standard form

with a = 1, b = - 6

Given a quadratic in standard form then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a} = - \frac{-6}{2} = 3

Substitute x = 3 into the equation for y

y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)

y = (x - 3)² - 16 = 0

7 0
3 years ago
The US standard can is 4.83 inches high, 2.13 inches in diameter at the lid, and 2.60 inches in diameter at the widest point of
rewona [7]
The first thing we must do for this case is to calculate the volume of the can using the largest diameter:
 V = pi * ((d / 2) ^ 2) * (h)
 Where,
 h: height
 d: diameter.
 Calculating we have:
 V = pi * ((2.60 / 2) ^ 2) * (4.83) = 25.64 in ^ 3
 Then, to determine the amount of liquid in millimeters, we can use a simple rule of three:
 1 in ^ 3 ---> 16.3891 milliliters
 25.64 in ^ 3 ---> x
 Clearing x we have:
 x = ((25.64) / (1)) * (16.3891) = 420.22 mm
 answer
 The amount of liquid that has been bottled in milliliters is 420.22 mm
4 0
3 years ago
Plz help me out again thanks!!
Leya [2.2K]

Answer:

303.2 cubic inches

Step-by-step explanation:

20.6in × 3.8in ×2.9in + 3.7in × 7.1in × 2.9in

= answer

5 0
3 years ago
Read 2 more answers
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