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2 years ago

8

Calculate the distance between the points C = (0,-2) and L= (-4, 1) in the coordinate plane. Give an exact answer. (not a decima

l approximation)

1 answer:

schepotkina [342]2 years ago

7 0

Answer: 5

Step-by-step explanation:

$\sqrt{(-4-0)^2 + (1-(-2))^2}=5$

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34 POINTS see attached

Anton [14]

Answer:

Step-by-step explanation:

-2x + 3 = 0

-2x = -3

x = 3/2

-x^2 + 2x + 3 = (-3/2)^2 + 2 × 3/2 + 3

= 9/4 + 3 + 3

= 9/4 + 6

= 33/4

Hope this helps

plz mark as brainliest!!!!!!

4 0

3 years ago

Read 2 more answers

If y=e5t is a solution to the differential equation

a_sh-v [17]

Answer:

k = 30, $y(t) = C_1e^{5t}+C_2e^{6t}$

Step-by-step explanation:

Since $y=e^{5t}$ is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

$\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}$

Then, replacing the derivatives in the equation we have:

$25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0$

Since $e^{5t}$ is a positive function, we have that

$25-55+k = 0 \rightarrow k = 30$ .

Now, consider a general solution $y(t) = Ae^{rt}, A \in \mathbb{R}$ , then, by calculating the derivatives and replacing them in the equation, we get

$Ae^{rt}(r^2-11r+30)=0$

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

$y(t) = C_1e^{5t}+C_2e^{6t}$

8 0

3 years ago

Select the correct answer.

Svetlanka [38]

Answer:

<h3> $\boxed{ \boxed{ \bold{ {x}^{2} + 4x - 21}}}$ </h3>

Step-by-step explanation:

$\sf{(x - 3)(x + 7)}$

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒ $\sf{x(x + 7) - 3(x + 7)}$

⇒ $\sf{ {x}^{2} + 7x - 3x - 21}$

Collect like terms

⇒ $\sf{ {x}^{2} + 4x - 21}$

Hope I helped!

Best regards!!

3 0

3 years ago

Read 2 more answers

The atmospheric pressure at sea level is 14.7 lb/in2. This pressure is reduced by half for each 3.6 miles above sea level. Which

Oxana [17]

Find attached a graph that I constructed.

To do that graph I used Excel.

First I did a table with this set of points:

<span><span><span>height      presuure
</span> <span> miles        psi
</span> <span> 0              14,7 </span> <span> <---- initial data

3.6           7.35 </span> <span> <--- increase hegiht 3.6 miles => half pressure

7.2            3.675 </span> <span> <---- second increase of 3.6 miles in height

10. 8 1.8375 </span> <span> <---- third increase of 3.6 miles in height

14.4           0.91875 </span> <span>

18              0.459375 </span> </span></span>

5 0

3 years ago

Read 2 more answers

Do consumers spend more on a trip to Target or Walmart? Suppose researchers interested in this question collected a systematic

ra1l [238]

Answer:

Step-by-step explanation:

Confidence interval for the difference between two population means is written in the form,

difference in sample means ± margin of error

The difference in sample means is the point estimate for the difference in population means. In the given scenario, the point estimate is the difference in mean amount spent by the sampled customers on a trip to Target or Walmart.

Since the interval was (- $15.05,$2.95), it means that the lower limit is - $15.05 and the upper limit us $2.95.

Therefore, the 95% confidence interval is providing a range that we are 95% confident that the true difference in mean amount spent by Target customers and Walmart customers falls between - $15.05 and $2.95

5 0

4 years ago