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3 years ago

No links please ASAP!!! Find the slope of the line that passes through (5,3) and (4,2).

Mathematics

1 answer:

hodyreva [135]3 years ago

5 0

Answer:

Step-by-step explanation:

y2 - y1/ x2 - x1

3-2/ 5-4 = 1/1 = 1

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-Chetan K

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Two cards are randomly selected from an ordinary playing deck.

Anna007 [38]

Answer:

The required probability is 0.048

Step-by-step explanation:

Consider the provided information.

Out of 52 card we need to select only 2.

Therefore the sample space is: $^{52}C_2=1326$

One card is Ace. The number of Ace are 4 and we need to select one of them.

This can be written as: $^4C_1=4$

The second card can be Ten or a Jack or a Queen or a King.

There are 4 Ten, 4 jack, 4 Queen, and 4 king in a deck and we need to select only 1 out of them.

So we can say that we need to select 1 card out of 16.

This can be written as: $^{16}C_1=16$

Thus, the probability that one of the cards is an ace and the other one is either a ten, a jack, a queen or a king is:

$P=\frac{16\times4}{1326}\approx0.048$

Hence, the required probability is 0.048

3 0

4 years ago

What does it mean if the probability is 40% that a spinner will stop in a red section? Question 5 options: A. There is one chanc

Svetllana [295]

C would be the obvious solution.

4 0

3 years ago

Using the quadratic formula to solve x2 = 5 – x, what are the values of x?

Ivenika [448]

Answer:

x²=5-x

x²+x-5=0

1x²+1x²-5=0

[ax²+bx²+c=0]

∆=b²-4ac

∆=1²-4(-5)(1)=1+20=21

x=(-b±√∆)/2a

x=(-1±√21)/2

meaning:

x=(-1+√21)/2 or x=(-1-√21)/2

4 0

2 years ago

Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

$(t+5) x'(t) + x(t) = 5(t+5)e^{5t}$

Now the left side the derivative of a product,

$\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}$

Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

Solve for $x(t)$ .

$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

3 0

2 years ago

PLEASE HELP!!

Contact [7]

Each pair of interior angle and the exterior angle
So the exterior angle = 360° - the interior angle.

8 0

3 years ago

Read 2 more answers