All categories

3 years ago

Multiply (9 − 4i)(2 + 5i).

Mathematics

2 answers:

Verdich [7]3 years ago

7 0

Answer:

38+37i

Step-by-step explanation:

(9 − 4i)(2 + 5i)= 18+45i-8i-20i²= 18+20+37i= 38+37i

lara [203]3 years ago

5 0

Answer:

38 + 37i

Step-by-step explanation:

(9 − 4i)(2 + 5i)

FOIL

first: 9*2 = 18

Outer: 9*5i = 45i

inner: -4i * 2 = -8i

last : -4i * 5i = -20i^2 = -20(-1) = 20

Combine together

18+45i-8i +20

38 + 37i

You might be interested in

Which statements are true? and whos down to talk?

Tems11 [23]

Answer:

please mention the statement

without that I can't help

have a beautiful day

6 0

3 years ago

Read 2 more answers

Each power smoothie that Theo makes has 3 scoops of mango, 1 scoop of strawberries, and 1 scoop of spinach. If Theo makes 7 powe

EleoNora [17]

Answer: 35 scoops total!

Step-by-step explanation: FIrst, you would add the number of scoops in total which is 3+1+1=5 scoops.

Now you would do 7*5=35

Therefore, Theo uses 35 scoops in all. I hope this helps you!

5 0

3 years ago

10•f(7)+9•g(-1)? What’s the answerrr

Inessa [10]

Answer:

= 70f - 9g

Step-by-step explanation:

1. Remove parentheses

2. Multiply the numbers

3. Multiply the numbers

5 0

3 years ago

Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per

eduard

Answer:

c) 6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation: $y=mx+b$

(where m is the slope and b is the y-intercept)

Maria's line: $y=-\dfrac{5}{6}x+8$

Therefore, the slope of Maria's line is $-\frac{5}{6}$

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

$\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}$

Therefore, the linear equation of Nate's line is:

$y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}$

Rearranging this to standard form:

$\implies y=\dfrac{6}{5}x+b$

$\implies 5y=6x+5b$

$\implies 6x-5y=-5b$

Therefore, <u>option c</u> could be an equation for Nate's line.

3 0

2 years ago

There are four boys and 8 girls on the debate team. the coach randomly chooses 3 of the students to participate in a competition

makvit [3.9K]

<span>the probability the coach selects all girls is m</span>ost likely

3 0

3 years ago