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3 years ago

Multiply and simplify the product. –12i × 3i Select the product. 36 -36 36i -36i

Mathematics

2 answers:

Alexxandr [17]3 years ago

6 0

Answer:

Step-by-step explanation:

$i=\sqrt{-1}\to i^2=(\sqrt{-1})^2=-1\\\\-12i\times3i=(-12)(3)i^2=(-36)(-1)=36$

bazaltina [42]3 years ago

4 0

Answer:

Step-by-step explanation:

–12i × 3i

Multiply the numbers

-12*3 = -36

Multiply the imaginary number

i*i= i^2

We know i^2 = -1

-36 * -1 = 36

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When 7 is subtracted from two third of the square of a number it becomes 17 find the number

Dmitry [639]

Answer: 6 or -6

hello,

Step-by-step explanation:

Let say n the number

$\dfrac{2}{3} *n^2-7=17\\\Longrightarrow\ \dfrac{2}{3} *n^2=24\\\Longrightarrow\ n^2=\dfrac{3*24}{2}\\\Longrightarrow\ n^2=36\\\Longrightarrow\ (n-6)(n+6)=0\\\\n=6\ or\ n=-6\\$

8 0

2 years ago

A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. A rectangle with length of 16 feet and widt

Mariulka [41]

Answer:

first, find the area of the circle cut.

r= 3 feet

π=3.14

area of a circle= πr²= 3.14×3×3= 28.26 sq.feet

Now, find the area of the rectangle and subtract it by the area of the circle.

area of rectangle = l×b

length of the rectangle= 16 feet

breadth/width of the rectangular garden= 14 feet

area= 16×14= 224 sq. feet

now, area of the garden surrounding the koi pond= 224-28.26

=195.74 sq. feet

7 0

2 years ago

What is 3/7 × 5/6 thanks

aleksley [76]

3/7*5/6

cross out 3 and 6

divide by 3

3/3= 1

6/3= 2

1/7*5/2

mutiply the denominators together

7*2= 14

mutiply the numerators together

1*5= 5

Answer:

5/14

3 0

2 years ago

Read 2 more answers

the scale on a map is stated as 1:250000 two villages are 9 cm apart on the map how far from each other are the two villages in

Karolina [17]

Answer:

22.5 kilometers

Step-by-step explanation:

we know that

The scale drawing is

$1:250,000$

That means

1 unit on a map represent 250,000 units in the actual

1 cm on a map represent 250,000 cm in the actual

1 cm on a map represent 2,500 m in the actual

1 cm on a map represent 2,5 km in the actual

therefore

using proportion

Find out how much represent 9 cm apart on the map

$\frac{1}{2.5}\ \frac{cm}{km}=\frac{9}{x}\ \frac{cm}{km}\\\\x=9(2.5)\\\\x=22.5\ km$

7 0

2 years ago

Write a number to represent the quantity.<br> a debt of $300

natka813 [3]

Answer:

A debt means subtracting from the original value so a debt of $300 can be expressed as -300.

5 0

3 years ago