Point E is located at (–1, 1). Which of the following choices contain end points of the line segment that has E as its midpoint?

Help! I don't get this, and if it is easy to you, this isn't my paper, it is my friends! <3

mihalych1998 [28]

(1 + i)/(1 + 2i)

To simplify this, we need to multiply both sides by the conjugate.

(1 + i)(1 - 2i)

1 - 2i - i - 3i^2

Combine like terms.

3i^2 - 3i + 1

i^2 = -1

-3i - 2 is the simplified numerator.

(1 + 2i)(1 - 2i)

1 - 2i + 2i - 4i^2

1 - 4i^2

i^2 = -2

1 + 4

5

<h3><u>The simplified expression is ((-3i)/5) + ((-2)/5)</u></h3>

7 0

4 years ago

a square field has a side 150 m long .There is a road 5 m wide all around the park outside it .Find the cost of constructing the

alisha [4.7K]

Answer:

Cost to construct the road = 775000 rupees

Step-by-step explanation:

Square field has a side = 150 m

Area of the field = (Side)²

= (150)²

= 22500 m²

Length of the park with road around the field = 150 + 2×(width of the road)

= 150 + (2×5)

= 160 m

Similarly, width of the park with road around the field = 160 m

Area of the park with road = (Side)²

= (160)²

= 25600 m²

Area of road = Area of the park with road - Area of the park

= 25600 - 22500

= 3100 m²

Since, cost of constructing the road = 250 rupees per square meter

Cost to construct the road with the given area = 250 × 3100

= 775000 rupees

6 0

3 years ago

The area of 5 centimeters long and 4 centimeters wide

slega [8]

Area= length * width

Area= 5*4

Area= 20

I hope this helps!
~cupcake

3 0

4 years ago

Read 2 more answers

find the average rate of change from t=2 to t=5 for the velocity function v(t)=t^2-t+10. WILL GIVE THE BRAINLIEST ANSWER--EXPLAI

Elina [12.6K]

Answer: The average rate of change is 6.
First, plug in each value of <em>t</em> into the function, v(t) to find there coordinate pairs.

v(2) = (2)^2 - (2) + 10
v(2) = 4 + 8
v(2) = 12

v(5) = (5)^2 - (5) + 10
v(5) = 25 + 5
v(5) = 30

You can write these values as coordinate pairs, like so: (2, 12) and (5, 30).
The formula for the average rate of change is $A(x) = \frac{f(x)-(f(a)}{x-a}$ . When you plug in the values from this particular case, the average rate of change formula becomes $A(t) = \frac{30-12}{5-2}$ , or $A(t)= \frac{18}{3}$ .

Looking at the equation, you can solve for the average rate of change between t = 2 and t = 5, which equals 6.

8 0

3 years ago

Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$

Implies either K = 6 Or K = 1

But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.

⇒ K = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0

3 years ago