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2 years ago

Find the equation of the line. Use exact numbers. y = X +

Mathematics

1 answer:

puteri [66]2 years ago

5 0

Answer:

$y = \frac{3}{4} x - 2$

Step-by-step explanation:

Remmeber this:

$slope = \frac{rise}{run}$

The y-intercept is where the lone goes through the y-axis.

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Equation 1: m = 8 + 2n

slava [35]

Answer:

1:×4

m×4=(8+2n)×4

4m=32+8n

now,

1:×4 - 2:

4m-4m = 32+8n -4+4n

0=(32-4) +(8n-4n)

0=28+4n

28=-4n

n= -7

n=-7. 1:,

m=8+2n

m=8+2×(-7)

m=8-14

m=-6

7 0

2 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

Estimate the product by rounding 3x5,186

masya89 [10]

The estimation of the product would be around 15,600 because if you round 5,186, it will become 5,200. multiply that by 3, and that's where you get your answer

3 0

2 years ago

What is 15267 times 16459 then divide by 7?

lesya [120]

Answer:

33297327

Step-by-step explanation:

(15267 * 15267) ÷ 7

= 15267 * 15267

= 233081289 ÷ 7

= 33297327

Hope this helps! :)

7 0

2 years ago

How much higher is 500 than -400 m

gogolik [260]

Answer:

900m

Step-by-step explanation:

All you have to do is find the difference between the two measurements

500 - (-400)

Then, two negatives create a positive:

500 + 400

= 900

3 0

2 years ago

Read 2 more answers