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3 years ago

10

Please this is urgent fill in the blanks

1 answer:

Nutka1998 [239]3 years ago

4 0

Answer:

b)

a)

a)

Step-by-step explanation:

hope this helps i havent done this in a while

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Identify the quotient in the form a + bi. HELP ASAP PLEASE!!

Artist 52 [7]

Solving $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

Option A is correct.

Step-by-step explanation:

We need to find the result of $\frac{4-5i}{2+3i}$

We need to remove i from the denominator. For removing i Multiplying and dividing by 2-3i:

$\frac{4-5i}{2+3i}*\frac{2-3i}{2-3i}$

Solving:

$=\frac{4-5i*2-3i}{2+3i*2-3i}\\=\frac{4(2-3i)-5i*(2-3i)}{(2)^2-(3i)^2}\\=\frac{8-12i-10i+15i^2)}{4-9i^2}\\We\,\,i^2=-1\\=\frac{8-12i-10i+15(-1))}{4-9(-1)}\\=\frac{8-12i-10i-15}{4+9}\\=\frac{8-15-12i-10i}{13}\\=\frac{-7-22i}{13}\\=-\frac{7}{13}-\frac{22i}{13}$

So, solving $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

Option A is correct.

Keywords: Complex numbers

Learn more about Complex numbers at:

#learnwithBrainly

5 0

3 years ago

A box of light fixtures cost $43 if you had $600 and I bought is moving boxes as you could how much money would you have left

Mademuasel [1]

Answer:

13 Boxes with $41 left over

Step-by-step explanation:

$600/$43 = 13.9 (so she can buy 13 boxes of light fixtures)

$43 x 13 = $559

$600-$559=$41 left over

6 0

3 years ago

What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the r

boyakko [2]

Answer:

The coordinates of the point X:

(x, y) = (-1, -7)

Step-by-step explanation:

Let X be the point.

As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

$\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)$

$\left(x_2,\:y_2\right)=\left(5,-1\right)$

Rise = y₂ - y₁

$= -1 - (-8)$

$= -1 + 8$

$= 7$

Run = x₂ - x₁

$= 5 - (-2)$

$= 5 + 2$

$= 7$

1 : 6 ratio means the point X lies at

$\frac{1}{6+1}=\frac{1}{7}=14\%$

Thus,

rise for X $=\:7\:\times \:14\%=1$

run for X $=\:7\:\times \:14\%=1$

Thus, coordinates of X will be:

$x = -2 + 1 = -1$

$y = -8 + 1 = -7$

Therefore, we conclude that:

The coordinates of the point X:

(x, y) = (-1, -7)

8 0

3 years ago

what is -4.7+4.2 equal. please help I have a C+ in math and I need to find the answer to this question. so, please, please, plea

lana66690 [7]

Answer:

-0.5

Step-by-step explanation:

-4.7+4.2 = -0.5

3 0

3 years ago

4. The graph of h(x) = x^2 was transformed to create the graph of k(x) = -4x^2? Which of these describes the transformation from

Viefleur [7K]

Answer:

A. A reflection over the x-axis and a vertical stretch.

Step-by-step explanation:

Let $h(x) = x^{2}$ , to obtain $k(x) = -4\cdot x^{2}$ , we need to use the following two operations:

(i) Vertical stretch

$g(x) = k\cdot f(x)$ , $k\in \mathbb{R}^{+}$

(ii) Reflection over the x-axis

$g(x) = -f(x)$

Let prove both transformations in $h(x)$ :

Step 1 - Vertical stretch ( $k = 4$ )

$h'(x) = 4\cdot x^{2}$

Step 2 - Reflection over the x-axis

$k(x) = -4\cdot x^{2}$

Hence, correct answer is A.

5 0

3 years ago