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2 years ago

What is the best approximation of the projection of (2,6) onto (5,-1)

Mathematics

1 answer:

Darya [45]2 years ago

5 0

Answer:

0.15(5,-1)

Step-by-step explanation:

$\frac{v_{1} * v_{2} }{|v_{2}|^{2} }*v_{2}$ ⇒ $\frac{(2)(5)+(6)(-1)}{\sqrt{5^2+(-1)^2} }(5,-1)$ ⇒ $\frac{4}{26} (5,-1)$ ⇒ $0.15(5,-1)$

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The circle below is centered at the point (-3/4) and has a radius of length 3 what is its equation??

Agata [3.3K]

{x-(-3/4)}^2=3^2
(x+3/4)^2=9
{(4x+3)/4}^2=9
(4x+3)^2/16=9
(4x+3)^2=9*16
16x^2+2*4x*3+3^2=144
16x^2+24x+9=144
16x^2+24x+9-144=0
16x^2+24x-135=0

6 0

2 years ago

Read 2 more answers

2.) Bob has two weekend jobs. Last weekend he made a total of $77 after

aalyn [17]

Answer:

Step-by-step explanation:

x= money earned per hour working as a cashier.

y=money earned per hour working delivering newspapers.

We propose the following system of equations:

5x + 4y =77

6x + 3y=78

We solve the system by reduction method:

-6*(5x+4y=77) ⇒ -30x-24y=-462

5*(6x+3y=78)⇒ 30x+15y=390

---------------------------

-9y=-72 ⇒ y=-72 /-9=8

Now, we get the value of "x" replacing the value of "y" by "8" in any part of the equation above.

5x + 4(8)=77

5x+32=77

5x=77-32

5x=45

x=45/5=9

therefore;

money earned per hour working as a cashier= $9/ hour

money earned per hour working delivering newspapers=$8/hour

3 0

2 years ago

Read 2 more answers

Consider a specific chemical reaction represented by the equation aa + bb → cc + dd. in this equation the letters a, b, c, and d

noname [10]

We are usually concerned with one reaction. That is, the production of one specific set of products from a specific set of reactants.

The number of values of c/d would be the number of possible ways that a and b could recombine to form different pairs of products c and d. (You might get different reactions at different temperatures, for example. Or, you might get different pars of ions.)

Usually, the number of values of c/d is one (1). (Of course, if you simply swap what you're calling "c" and "d", then you double that number, whatever it is.)

8 0

2 years ago

Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye

Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

$S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}$

We have also the set of sales of boat accesories $S_b$ , the colored one in the image.

We are given the data:

$P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2$

From these relations you can compute the probabilities of the intersections colored in the image:

$pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08$

You are asked about the conditional probability:

$P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}$

To calculate this, you need $P(S_b)$ . In the image you can see that the set $S_b$ is the union of the two disjoint pink and blue sets. Then:

$P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32$

Finally:

$P(S_s|S_b) = \frac{0.24}{0.32}=0.75$

4 0

2 years ago

IM OFFERING 100 POINTS, I NEED HELP AND ITS TIMED

Assoli18 [71]

Answer:

look below

Step-by-step explanation:

Part A: The y-intercept is $1,500

The x-intercept is 20 days

Part B: Equation of the line in point-slope form is y - 1350 = -75×(x - 2) Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form is y + 75·x = 1500

Part C:

f(x) = -75·x + 1500

Part D: $1,125 Step-by-step explanation: The information given are; x, g(x) 0, $1,500 2, $1,350 4, $1,200 The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is y = m·x + c Where; m = The slope c = The y-intercept From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350); The y-intercept = y at x = 0 = 1,500 y = -75·x + 1500 x = 1500/75 = 20

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/5966450-the-table-of-values-represents-a-linear-function-g-x-where-x-is.html

I hope this helps I know its kinda confusing

3 0

2 years ago