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4 years ago

If i^2 = −1 and a = (i + 7), which is the result of squaring a?

Mathematics

1 answer:

Artyom0805 [142]4 years ago

8 0

Answer:

48+14i

Step-by-step explanation:

So squaring (i+7) looks like this

(i+7)^2

(i+7)(i+7)

Use foil.

First: i(i)=i^2=-1

Outer: i(7)=7i

Inner: 7(i)=7i

Last: 7(7)=49

____________Add the terms.

48+14i

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On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 7 k

Airida [17]

Answer:

21 N

Step-by-step explanation:

let mass be m and weight be w

Given w varies directly with m then the equation relating them is

w = km ← k is the constant of variation

To find k use the condition m = 7 , w = 49 , then

49 = 7k ( divide both sides by 7 )

7 = k

w = 7m ← equation of variation

When m = 3 , then

w = 7 × 3 = 21 N

3 0

3 years ago

1 point

swat32

Answer:

$\log_{10}(147) = 2.1673$

Step-by-step explanation:

Given

$\log_{10} 3 = 0.4771$

$\log_{10} 5 = 0.6990$

$\log_{10} 7= 0.8451$

$\log_{10} 11 = 1.0414$

Required

Evaluate $\log_{10}(147)$

Expand

$\log_{10}(147) = \log_{10}(49 * 3)$

Further expand

$\log_{10}(147) = \log_{10}(7 * 7 * 3)$

Apply product rule of logarithm

$\log_{10}(147) = \log_{10}(7) + \log_{10}(7) + \log_{10}(3)$

Substitute values for log(7) and log(3)

$\log_{10}(147) = 0.8451 + 0.8451 + 0.4771$

$\log_{10}(147) = 2.1673$

3 0

3 years ago

Given: ∠JOH = 27° and arc NML = 98°. Find the measure of arc JH.

stepladder [879]

We need an image because of this

6 0

3 years ago

The value of 3.6 - 2.4 ÷ (-0.8) is _____.<br> 6.6<br> 0.6<br> -1.5<br> 3

bija089 [108]

I hope this helps you

8 0

3 years ago

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Can someone please help me asap I’ll mark brainlist

Scorpion4ik [409]

Answer:

9/20

Step-by-step explanation:

Not hard. Multiply top and bottom by the other number. 3*3 = 9, and 4*5 = 20. so 9/20

6 0

4 years ago

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