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Naddik [55]
3 years ago
14

Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno

wn endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.)
midpoint ​(−20​,6​), endpoint ​(−13​,9​)
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0
Midpoint (-20,6), correct.
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Expand and simplify: 3 ( g + 5 ) − 3 ( g + 6 )
ZanzabumX [31]

- 3

distribute each bracket, multiplying the terms in the bracket by the value outside the bracket.

= 3g + 15 - 3g - 18 → ( collect like terms)

=(3g - 3g) + (15 - 18) = 0 + ( - 3) = - 3



4 0
3 years ago
Read 2 more answers
The string of a kite is 100 meters long and it makes an angle of 60° with the ground. What is the height of the kite?
Naddika [18.5K]

Answer:

  50√3 ≈ 86.6 m

Step-by-step explanation:

The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.

The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...

  Sin = Opposite/Hypotenuse

  sin(60°) = (kite height)/(100 m)

  kite height = (100 m)·sin(60°) = (100 m)(√3)/2

  kite height = 50√3 m ≈ 86.6 m

7 0
3 years ago
The cost of a High Definition television now averages $700, but the cost is decreasing about 15% per year. In how many years wil
Roman55 [17]

Answer: 7.7 years

Step-by-step explanation:

Given

The cost of HD TV is $700 and it is decreasing at the rate of 15% per year

After one year it becomes

\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)

after 2 year it becomes

\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2

Suppose, after x years it becomes $200

\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}

Thus, it takes 7.7 years for the cost to come under $200.

3 0
3 years ago
On monday it took 5 builders to 3 1/2 hours to build a wall
zubka84 [21]

Answer:   £ 81.38

Step-by-step explanation:

Given: On Monday,

5 builders took 3\dfrac{1}{2} hours  ( i.e. \dfrac{7}{2} hours )  to build a wall.

On Tuesday, only 2 builders were available.

As workers are inversely proportional to the time if the job remains constant.

Inverse variation equation : x_1y_1=x_2y_2

Let x be the time taken by 2 builders, then

2\times x =5\times \dfrac{7}{2}

\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75

So, 2 builders will take 8.75 hours.

Each paid  £9.30 for each hour.

Then, each builder will be paid for the work completed on Tuesday = £9.30 x  8.75

≈ £ 81.38

Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .

5 0
3 years ago
28/6 as a whole or mixed number and in simplified form
Savatey [412]

Answer:

4 2/3

Step-by-step explanation:


8 0
3 years ago
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