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3 years ago

4x -5y=-12 -x+5y= 18 what is the solution of this system of equations

Mathematics

1 answer:

nataly862011 [7]3 years ago

7 0

Answer:

x= 2 y= 4

Step-by-step explanation:

look at the calculation in the picture

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Assume a population of 46, 51, 53, and 59. Assume that samples of size nequals=2 are randomly selected with replacement from th

Katarina [22]

Answer:

Step-by-step explanation:

There are four values 46, 51, 53, 59

we have to draw 2 sampler with replacement

sampler median samler median

46.46 46 53.46 49.5

46.51 48.5 53.51 52

45..53 49.5 53.53 53

46.59 52.5 53.59 56

51.46 48.5 59.46 52.5

51.51 51 59.51 55

51.53 52 59.53 56

51.59 55 59.59 59

sampling distribution of the median

median probability

46 1/16

48.5 2/16

49.5 2/16

52.5 2/16

51 1/16

52 2/16

55 2/16

53 1/16

56 2/16

59 1/16

6 0

3 years ago

The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis

Firdavs [7]

Answer:

$sin\theta_1 = - \frac{2\sqrt{70}}{19}$

Step-by-step explanation:

We are given that $\theta_1$ is in fourth quadrant.

$cos\theta_1$ is always positive in 4th quadrant and

$sin\theta_1$ is always negative in 4th quadrant.

Also, we know the following identity about $sin\theta$ and $cos\theta$ :

$sin^2\theta + cos^2\theta = 1$

Using \theta_1 in place of \theta:

$sin^2\theta_1 + cos^2\theta_1 = 1$

We are given that $cos\theta_1 = \frac{9}{19}$

$\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{280}{361}\\\Rightarrow sin\theta_1 = \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}$

$\theta_1$ is in 4th quadrant so $sin\theta_1$ is negative.

So, value of $sin\theta_1 = - \frac{2\sqrt{70}}{19}$

6 0

3 years ago

the legs of a scalene triangle are represented by (x+4),(x+8), and (2x - 3) which polynomial expression best represents the peri

AVprozaik [17]

perimeter means add the side

(x+4) +( x+8)+(2x-3) =P

x+x+2x+4+8-3=P

4x-9 =P

8 0

3 years ago

Read 2 more answers

If the point (a,3) lies on the graph of the equation 5x + y = 8, then a= a.01 b.0-1 c.0-7

fomenos

Answer:

A (a = 1)

Step-by-step explanation:

A coordinate point is always in the form (x,y) that means the first point is always x-coordinate and the second point is always y-coordinate.

The equation given is:

5x + y = 8

The point is (a,3), so that means x = a and y = 3

We substitute the values into the equation and find a. Shown below:

5x + y = 8

5(a) + (3) = 8

5a + 3 = 8

5a = 8 - 3

5a = 5

a = 5/5

a = 1

Answer choice A is right

6 0

3 years ago

SOMEONE PLEASE ANSWER AND I WILL GIVE BRAINLIEST :))A company makes poppy lapel pins. Each of them costs £1.10 to make. In Octob

Liono4ka [1.6K]

Answer: The company will make 720 dollars (I dont know the percentage out of that though).

Step-by-step explanation: 1.10 times 1000= 1100. 35 percent of that is 385 dollars worth to charity or 350 lapel pins. 1000 minus 350 equals 650. 650 times .6 equals 390. 390 times 3 dollars= 1170 dollars. 650 times .4 = 260. 260 divided by 2 = 130, 130 times 5 dollars equals 650 dollars. 650 plus 1170= 1820. 1820-1100= 720.

3 0

3 years ago