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2 years ago

13

Rewrite 7 − 8 using the additive inverse and display the new expression on a number line

1 answer:

Vilka [71]2 years ago

6 0

When we do the additive inverse property...we want to end up with a 0...so the inverse of 7 is -7 and the inverse of -8 is +8....we now have our new expression

-7 + 8

-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

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Find a.b. a=3i+2j-k, b=4i+5k

Tomtit [17]

Answer: $a\cdot b= 7$

Step-by-step explanation:

We are given

$a=3\hat{i}+2\hat{j}-\hat{k}$

$b=4\hat{i}+5\hat{k}$

They can be written as

$a=3\hat{i}+2\hat{j}+(-1)\hat{k}$

$b=4\hat{i}+0.\hat{j}+5\hat{k}$

Now , the dot product of and b is given by :-

$\Rightarrow\ a\cdot b= (3\hat{i}+2\hat{j}+(-1)\hat{k})\cdot(4\hat{i}+0.\hat{j}+5\hat{k})$

$\Rightarrow\ a\cdot b=3\cdot 4 \cdot\hat{i}\cdot\hat{i}+2\cdot0\cdot\hat{j} \cdot\hat{j}+ (-1)\cdot 5 \cdot \hat{k}\cdot \hat{k}$

$\Rightarrow\ a\cdot b=12 \cdot\hat{i}^2+0-5 \cdot \hat{k}^2$

$\Rightarrow\ a\cdot b=12 \cdot(1)+0-5 \cdot (1)$ [Since $\hat{i}^2=\hat{k}^2=1$ ]

$\Rightarrow\ a\cdot b=12 -5=7$

Therefore , the value of the dot product $a\cdot b= 7$

5 0

3 years ago

I need the work for 6 and 8 if u will pls help me out ???

11111nata11111 [884]

answer is

120+X=175

k bye :)

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2 years ago

Sargento cheese slices $2.48 for 10 slices or Velveeta cheese slices $3.18 for 12 slices find the unit rate for each and choose

densk [106]

Answer:

Sargento cheese slices are the better deal

Sargento cheese slices $2.48 for 10 slices = 0.248 per slice

Velveeta cheese slices $3.18 for 12 slices = 0.265 per slice

Step-by-step explanation:

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2 years ago

can someone please help for brainliest!!!!!

Marina86 [1]

Answer:

B

Step-by-step explanation:

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1 year ago

Help me with this look at the photo and help me answer all the questions please and thanks

Nataliya [291]

Answer:

1104seconds and5 milliseconds

(8209-6000)/2

=3209/2

=1104.5

The scientists will reach the ocean floor after 1104.5 seconds.

PS

Please mark me as the brainiest and follow me!Hope that helps ;)

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3 years ago