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Ivenika [448]
2 years ago
8

Point M is the midpoint of AB. The coordinates of point A are (-8, 3) and the coordinates of M are (-2, 1). What are the coordin

ates of point B?
.
.
.
May you please show me the work?
Mathematics
1 answer:
ch4aika [34]2 years ago
4 0

Answer:

the coordinates of point B are (-5, 2)

Step-by-step explanation:

1. use midpoint formula to find the midpoint (equation attached below)

2. plug in the numbers

(\frac{-8+(-2)}{2},\frac{3+1}{2})

3. solve

(\frac{-8-2)}{2},\frac{3+1}{2})

(\frac{-10}{2},\frac{4}{2})

(-5,2})

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Express the following in p/q form, where p and q are integers and q is not equal to 0.
Wewaii [24]
(I)1.272727... = 14/11
(II)0.1282828...= 127/990

(The solution is in the picture
NB : the two points on the two numbers in the solution means those two numbers are recurring or repeating )

5 0
2 years ago
A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=Angle subtended by the statue to where you are standing.

\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

tan(x)=\frac{RQ}{PQ} =\frac{21}{57}

Which gives \angle x to be:

\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}

Now, we know that\angle x and \angle SPR can be added to give us the complete angle \angle SPQ in the right triangle \Delta SPQ.

We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57tan(27.32^0)

h\approx8.45 ft

Thus, the height of the statue is approximately, 8.45 feet.

3 0
3 years ago
ANSWER PLZ QUICK AND FAST WHAT
Marysya12 [62]

the answer is C

Use the distributive property

3 0
2 years ago
Read 2 more answers
Help asap thank you .
frosja888 [35]

Answer:

2

Step-by-step explanation:

count up 2 count right 1, 2/1

2/1 = 2

3 0
2 years ago
Simplify the expression. (3.5x - 5) + (7.2x + 10)
Mamont248 [21]

Answer:

10.7x + 5

Step-by-step explanation:

(3.5x - 5) + (7.2x + 10)

Take out the parenthesis so it can be easier to see

3.5x - 5 + 7.2x + 10

Combine like terms

(3.5x and 7.2x) and ( -5 and 10)

10.7x + 5

And you cannot simplify it anymore

Hope this helped!

Have a supercalifragilisticexpialidocious day!

8 0
3 years ago
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