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3 years ago

Write equation in slope intercept form for the line that passes through the points (4,7) and (11,12)

Mathematics

1 answer:

Otrada [13]3 years ago

4 0

Answer:

y = (5/7)x+29/7

Step-by-step explanation:

an equation that is in slope intercept form is y = mx+b, where m is the slope is and b is the y intercept

to find m, use the slope formula to get (12-7)/(11-4) = 5/7

to find b, plug in the slope and one of the points:

7 = (5/7)*4+b

solve the equation to get 29/7

the equation is y = (5/7)x +29/7

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I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS

jek_recluse [69]

Answer:

They are both wrong

Step-by-step explanation:

exponents are repeated multiplication. so it would be 2*2*2*2... that 28 times.

5 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

Graph each equation 3x+5y=12

diamong [38]

The graph of the equation, 3x + 5y = 12, is the graph attached in the image below.

<h3>How to Graph a Linear Equation?</h3>

The slope (m) and the y-intercept (b) of a linear equation can easily be determined by writing a linear equation in slope-intercept form, y = mx + b.

The slope of the line is the rise/run, while the y-intercept tells us at what point on the y-axis the line intercepts.

Rewrite 3x + 5y = 12, in slope-intercept form:

5y = - 3x + 12

y = -3/5x + 12/5

The slope of the line of the equation is -3/5 while the y-intercept is 12/5.

Therefore, the graph of the equation, 3x + 5y = 12, is the graph attached in the image below.

Learn more about the graph of a linear equation on:

brainly.com/question/14323743

#SPJ1

5 0

2 years ago

A farm has pigs and chickens. There are 78 feet and 27 heads. How many of each animal are there? How do you know?

valentina_108 [34]

27 because each animal only has one head

8 0

3 years ago

3. (06.01 MC) What is the value of the expression 11 +( 1 )4.48? (1 point)

Andrew [12]

Answer:

15.48

Step-by-step explanation:

11+ (1)4.48

11+ 4.48

15.48

Hope this helps!
Pls mark brainliest!

8 0

3 years ago