Using elimination, what is the solution to the following system? 2x+4y=16 -2x-3y=-13

What is the slope of the line that goes through -3,7 & -17,3

Natalka [10]

Point 1: (-3, 7)

Point 2: (-17, 3)

To find the slope, we need to use the slope formula which is as follows: m = (y2 - y1) / (x2 - x1). We will plug in each x and y coordinate from our points above, respectively.

m = (3 - 7) / (-17 - - 3)

m = (-4) / (-14)

m = 2/7

The slope of the line that goes through (-3, 7) and (-17, 3) is 2/7.

Hope this helps!! :)

7 0

3 years ago

Can any of ya check my answer?

nikitadnepr [17]

Answer:

Your answer is right! It's (-2, 8)

8 0

2 years ago

A circle is the set of all points that are the same distance from one given point. find an example that contradicts this definit

Troyanec [42]

A circle exists as a curve sketched out by a point moving in a plane. The circle's perimeter exists the length of the line of the circle that creates the circle. It exists generally named the circumference of the circle.

<h3>What is a circle?</h3>

A circle exists as a curve sketched out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it exists as the shape created by all points in a plane that exists at a set distance from a provided point, the center.

A.) The statement that rejects this characterization of the circle exists that the given point should be at the circle's center.

B.) An illustration of an indefinite term exists in the perimeter of the circle, The circle's perimeter exists the length of the line of the circle that makes the circle. It exists generally named the circumference of the circle.

To learn more about Circle refer to:

brainly.com/question/11833983

#SPJ4

4 0

1 year ago

6. Santiago Diaz Granados played an arcade game that cost 25 tokens per game. In six games, Santiago won 0 tokens, 10 tokens, 50

Pavel [41]

-- To play the six games, Santiago Diaz Granados spent

(6 x 25) = 150 tokens.

-- As a result of his skill, experience, talent, steady hand, nerves
of steel, superior hand-eye coordination, and superb reflexes, 
Santiago Diaz Granados won

(0 + 10 + 50 + 0 + 5 + 10) = 75 tokens.

-- At the end of the 6th game, Santiago Diaz Granados was behind
the curve.
After spending 150 tokens and winning 75 tokens, Santiago Diaz Granados
was down by (150 - 75) = 75 tokens since he arrived at the arcade.
Any true friend could look at the choices, could see that choice-B is
the correct one, and could advise Santiago Diaz Granados to cash in
whatever he had left, accept his losses, return to his home, and live
to fight another day.

Viva Santiago Diaz Granados ... un verdadero héroe de su pueblo. Viva !

3 0

3 years ago

The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probab

kolezko [41]

Answer:

(a) 0.6579

(b) 0.2961

(c) 0.3108

(d) 240

Step-by-step explanation:

The random variable X can be defined as the number of particles in a suspension.

The concentration of particles in a suspension is 50 per ml.

Then in 5 mL volume of the suspension the number of particles will be,

5 × 50 = 250.

The random variable X thus follows a Poisson distribution with parameter, λ = 250.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.

The mean of the approximated distribution of X is:

μ = λ = 250

The standard deviation of the approximated distribution of X is:

σ = √λ = √250 = 15.8114

Thus, $X\sim N(250, 250)$

(a)

Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:

$P(235$

$=P(-0.95$

Thus, the value of P (235 < X < 265) = 0.6579.

(b)

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

$P(48$

$=P(-0.28$

Thus, the value of $P(48$ .

(c)

A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

$P(48$

$=P(-0.40$

Thus, the value of $P(48$ .

(d)

Let the sample size be n.

$P(48$

$0.95=P(-z$

The value of z for this probability is,

z = 1.96

Compute the value of n as follows:

$z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241$

Thus, the sample selected must be of size 240.

5 0

3 years ago