All categories

3 years ago

My question is im trying to solve for y in this problem 20x - 12y = -108

Mathematics

1 answer:

ziro4ka [17]3 years ago

4 0

Answer: $y= \frac{5}{3} x + 9$

Step-by-step explanation:

20x - 12y = -108

Add 12y + 108 to both sides

12y = 20x + 108

Divide both sides by 12

$y = \frac{20}{12} x + \frac{108}{12}\\y= \frac{5}{3} x + 9$

Read more about real numbers at:

brainly.com/question/7784687

#SPJ1

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

The radius of a circle is (7n-21) inches find circumference of the circle in terms of n.

hodyreva [135]

Answer:

(14n - 42)*pi

Step-by-step explanation:

Circumference is 2 * pi * r. Since r in this case is 7n - 21, you can multiply r by 2 and pi, giving you (14n - 42)*pi

4 0

4 years ago

If y = 124 and x = 12, find y when x = -24.

tatyana61 [14]

Answer:

y = -248

Step-by-step explanation:

Hi there!

Set up a proportion:

$\displaystyle\frac{124}{12} =\frac{y}{-24}$

Cross-multiply:

$12y=(-24)(124)\\12y=-2976\\y=-248$

I hope this helps!

7 0

3 years ago

What the vertex of the equation: y = x^2 - 6x + 11

pychu [463]

Answer:

the vertex is of the equation is (3,2)

7 0

3 years ago

My question is im trying to solve for y in this problem 20x - 12y = -108​

My question is im trying to solve for y in this problem 20x - 12y = -108