15 POINTS HELP!! Identify the y-intercept for the line of the equation below. Show your work

A lawyer drives from her home, located 2 miles east and 3 miles north of the town courthouse, to her office, located 5 miles

LekaFEV [45]

Let <span>the town courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula $d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ to get the <span>distance between lawyer's home and office:
</span><span>
</span><span /> $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(-2-5)^2+(3-(-21))^2}=$
$=\sqrt{7^2+24^2} = \sqrt{49+576} = \sqrt{625} =25$ .
Answer: 25 miles.

7 0

4 years ago

Which values are in the solution set of the compound inequality? Select two options

zhannawk [14.2K]

The values are in the solution set of the compound inequality are (-6, -3), (3, 8).

<h3>What is inequality?</h3>

Inequality is the phenomenon of unequal distribution of resources and opportunities among the given function.

To find the number that are solutions to the compound inequalities, the value of x is

First inequality:

4(x +3) ≤0

4x +12 ≤0

4x ≤-12

x ≤-3

The value of x lies in the interval = (-∞ , -3]

Second inequality:

x +1 >3

x>2

The value of x lies in the interval = (2 , ∞)

So, the interval solution is (-∞ , -3] U (2 , ∞)

Thus, the values are in the solution set of the compound inequality are (-6, -3), (3, 8).

Learn more about inequality.

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7 0

2 years ago

The hypotenuse of a right triangle is 13ft long. The longer leg is 7ft longer than the shorter leg. Find the side lengths of the

DochEvi [55]

Answer:

The short side is 5ft and the longer side 12ft

Step-by-step explanation:

I knew that the hypotenuse was 13 so it couldn’t be more than 13. I was guessing at numbers until I got to 5 then added 7. After I use Pythagorean theorem to check and I got 13.

7 0

3 years ago

Read 2 more answers

Two people meet for the first time. What is the probability that they both have the same birthday?

Alenkinab [10]

<span>The first person can have any birthday. That gives him 365 possible birthdays out of 365 days, so the probability of the first person having the "right" birthday is 365/365, or 100%.The chance that the second person has the same birthday is 1/365. To find the probability that both people have this birthday, we have to multiply their separate probabilities. (365/365) * (1/365) = 1/365, or about 0.27%.</span>

8 0

4 years ago

Gracelyn has multiple sticks of different lengths to build a triangle for a class project. Which 3 lengths could Gracelyn choose

romanna [79]

Hello

11 cm, 25 cm, 15 cm
if you add the lengths of two sides of the triangle, it must be greater than the length of the third side

therefore, the only possible lengths are 11 cm, 25 cm, 15 cm

Have a nice day

8 0

3 years ago