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3 years ago

Multiply and simplify the product. 2i(4 – 5i) Select the product. –2i 2i –10 + 8i 10 + 8i

Mathematics

2 answers:

Lena [83]3 years ago

6 0

Answer:

10 + 8i

Step-by-step explanation:

noting that i² = - 1

Given

2i(4 - 5i) ← distribute the parenthesis

= 8i - 10i² = 8i - 10(- 1) = 10 + 8i

shusha [124]3 years ago

3 0

Answer:

D, 10+8i

Step-by-step explanation:

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2 years ago

2(a³+b²+11)+1(3+a³+b+11)

Ann [662]

Answer:

$2(a^3+b^2+11)+1(3+a^3+b+11)=3a^3+2b^2+b+36$

Step-by-step explanation:

I assume that you need simplification of the given expression.

The given expression is:

$2(a^3+b^2+11)+1(3+a^3+b+11)$

Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,

$2(a^3+b^2+11)=2\times a^3+2\times b^2+2\times 11\\2(a^3+b^2+11)=2a^3+2b^2+22\\\\1(3+a^3+b+11)=1\times 3+1\times a^3+1\times b+1\times 11\\1(3+a^3+b+11)=3+a^3+b+11=a^3+b+14$

Therefore, $2(a^3+b^2+11)+1(3+a^3+b+11)$ is equal to:

$2a^3+2b^2+22+a^3+b+14$

Now, combining like terms using the commutative property of addition, we get:

$=(2a^3+a^3)+2b^2+b+(22+14)\\=3a^3+2b^2+b+36$

Therefore, the simplified form is $3a^3+2b^2+b+36$

8 0

3 years ago

What is the slope intercept form of 10x + 2y =8

antoniya [11.8K]

Slope intercept form is: y = mx + b

Isolate the y. First subtract 10x from both sides

10x (-10x) + 2y = 8 (-10x)

2y = -10x + 8

Isolate the y. Divide 2 from both sides and <em>all</em> terms.

(2y)/2 = (-10x + 8)/2

y = -5x + 4

y = -5x + 4 is your slope intercept form answer.

hope this helps

7 0

3 years ago