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3 years ago

Find the midpoint of a segment with the given endpoints. W(-1, 1), 0(5, -5) =

Mathematics

1 answer:

lianna [129]3 years ago

7 0

Answer:

(2,-2)

Step-by-step explanation:

(5+(-1))/2=4/2=2

(-5+1)/=-4/2=-2

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The number 320 million written in scientific notation would be _____.

lisabon 2012 [21]

The scientific notation: $a\cdot10^n\ where\ 1\leq a < 10\ and\ n\in\mathbb{Z}$

$320\ milion=320\cdot1,000,000=320\cdot10^6=3.2\cdot10^8$

Answer: B. 3.2 × 10^8

6 0

3 years ago

Read 2 more answers

Select all input values for which g(x) = 8.

kipiarov [429]

Answer: A & C

Step-by-step explanation:

g(x) = 8 means where is y = 8?

when we go to -4 on the x-axis, the y value there is 8. so this works!

when we go to 6 on the x-axis, the y value is 6. we were looking for 8. so this does not work.

when we go to 9 on the x-axis, the y value is 8. so this works!

A & C

8 0

3 years ago

I can't figure out how to do (i + j) x (i x j)for vector calc

Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

$\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}$

Then, solving the determinant

$\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}$

In our case,

$\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}$

Where we used the formula for AxB to calculate ixj.

Finally,

$\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}$

Thus, (i+j)x(ixj)=i-j

8 0

1 year ago

WILL GIVE BRAINLIEST WHAT IS THE FORMULA FOR SURFACE AREA

eimsori [14]

Answer:

Hi! The formula for surface area is:

area = 2lw + 2lh + 2hw

(l = length, w = width, h = height.)

<em>Hope this helps! :)</em>

8 0

3 years ago

Read 2 more answers

What is the measure of angle Z?

Iteru [2.4K]

Answer:

sum of exterior angles of polygon = 360°

therefore,

z = 360 - (105+145)

z = 360 - 250

z = 110°

3 0

3 years ago