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Oksi-84 [34.3K]

2 years ago

11

I need to know what formula to use in order to figure out the problems. You do not have to solve, I can do that. I just need a f

ormula, and if you can steps to get me started. The questions is 1-60

1 answer:

REY [17]2 years ago

6 0

Answer:

The equation 4x -6y = 12 is in

"standard" form. if you modify it to be in the "slope intercept" (y=mx+b)

it will be modified to help more easily graph

y= 2/3 x -2 is the same equation in slope intercept (graphing) form...

here you can see that slope (rise over run) is positive and is 2/3 thus it goes from lower left to upper right... the "y-intercept" (the B) is at "-2" thus the line intercepts the y axis at -2

you can find the x and y intercepts by replacing the x with a 0 to get the y intercept, and then replacing the y with a 0 to get the x intercept

Step-by-step explanation:

You might be interested in

Study the graph below. Describe the functional relationship between Quantity A and Quantity B. What happens as Quantity A increa

Alex

There is an inverse corollation between the values of A and B. Specifically, a 3 unit change increase in A results in a 4 unit decrease in B

4 0

3 years ago

Solve for x: 6 over x equals 4 over 8

Talja [164]

Answer:

For the given expression, x = 12.

Step-by-step explanation:

Here, in the given expression:

6 over x equals 4 over 8.

Now, 6 over x = $\frac{6}{x}$

and 4 over 8 = $\frac{4}{8}$

So, here $\frac{6}{x} =\frac{4}{8}\\ \implies x = \frac{6 \times 8}{4} = 12$

⇒ x = 12

Hence, for the given expression, x = 12.

5 0

2 years ago

A plastic storage bin is shaped like a rectangular prism. The height of the bin is 9 inches. The bottom of the bin has an area o

Charra [1.4K]

Answer:

<em>1620in³</em>

Step-by-step explanation:

Volume of a rectangular prism = BH

B is the Base area

H is the height of the prism.

Given

B = 180in²

H = 9in

get the volume of the prism

Volume of the prism = 180 * 9

Volume of the prism = 1620in³

<em>Hence the volume of the rectangular prism is 1620in³</em>

4 0

2 years ago

Solve for x someone help please. If possible please include steps

olga55 [171]

Answer:

10

Step-by-step explanation:

(x + 2) + (-2 + x) = 20

2x + 0 = 20

2x = 20

x = 20/2

x = 10

4 0

2 years ago

Read 2 more answers

Find two vectors in R2 with Euclidian Norm 1<br> whoseEuclidian inner product with (3,1) is zero.

alina1380 [7]

Answer:

$v_1=(\frac{1}{10},-\frac{3}{10})$

$v_2=(-\frac{1}{10},\frac{3}{10})$

Step-by-step explanation:

First we define two generic vectors in our $\mathbb{R}^2$ space:

$v_1 = (x_1,y_1)$
$v_2 = (x_2,y_2)$

By definition we know that Euclidean norm on an 2-dimensional Euclidean space $\mathbb{R}^2$ is:

$\left \| v \right \|= \sqrt{x^2+y^2}$

Also we know that the inner product in $\mathbb{R}^2$ space is defined as:

$v_1 \bullet v_2 = (x_1,y_1) \bullet(x_2,y_2)= x_1x_2+y_1y_2$

So as first condition we have that both two vectors have Euclidian Norm 1, that is:

$\left \| v_1 \right \|= \sqrt{x^2+y^2}=1$

and

$\left \| v_2 \right \|= \sqrt{x^2+y^2}=1$

As second condition we have that:

$v_1 \bullet (3,1) = (x_1,y_1) \bullet(3,1)= 3x_1+y_1=0$

$v_2 \bullet (3,1) = (x_2,y_2) \bullet(3,1)= 3x_2+y_2=0$

Which is the same:

$y_1=-3x_1\\y_2=-3x_2$

Replacing the second condition on the first condition we have:

$\sqrt{x_1^2+y_1^2}=1 \\\left | x_1^2+y_1^2 \right |=1 \\\left | x_1^2+(-3x_1)^2 \right |=1 \\\left | x_1^2+9x_1^2 \right |=1 \\\left | 10x_1^2 \right |=1 \\x_1^2= \frac{1}{10}$

Since $x_1^2= \frac{1}{10}$ we have two posible solutions, $x_1=\frac{1}{10}$ or $x_1=-\frac{1}{10}$ . If we choose $x_1=\frac{1}{10}$ , we can choose next the other solution for $x_2$ .

Remembering,

$y_1=-3x_1\\y_2=-3x_2$

The two vectors we are looking for are:

$v_1=(\frac{1}{10},-\frac{3}{10})\\v_2=(-\frac{1}{10},\frac{3}{10})$

5 0

2 years ago