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Kisachek [45]
3 years ago
8

Solve for x. Show your work. - x < -12

Mathematics
1 answer:
timama [110]3 years ago
8 0
- x \ \textless \  -12\\x\ \textgreater \ 12
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Which of the following scatterplots represents the data shown below?
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Answer:

d

Step-by-step explanation:

4 0
4 years ago
To the nearest hundredth, find the lengths of the diagonals of parallelogram ABCD
adell [148]

Answer:

The answer is C.  AC = 2.83, BD = 4.47

Step-by-step explanation:

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3 0
3 years ago
A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two
Oliga [24]

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of the rectangle is equal to

A=x*y

The area of the two congruent right triangles  is equal to the area of the rectangle

A=2*44=88\ in^{2}

so

88=x*y -------> equation A

y=x-3 -----> equation B

Substitute equation B in equation A

x*[x-3]=88

x^{2} -3x-88=0 --------> equation that can be used  to solve for the length of the rectangle

Using a graph tool-------> solve the quadratic equation

see the attached figure

The solution is

x=11\ in -----> the length of the rectangle

Find the value of y

88=11*y

y=8\ in  ----> the width of the rectangle

Statements

<u>case A)</u> The area of the rectangle is 88 square inches

The statement is True

See the procedure

<u>Case B)</u> The equation  x*[x-3]=44 can be used to solve for the dimensions of the triangle

The statement is False

Because, the equation x*[x-3]=88 can be used to solve for the dimensions of the triangle

<u>case C)</u> The equation x^{2} -3x-88=0 can be used to solve for the length of the rectangle

The statement is True

see the procedure

<u>case D)</u>The triangle has a base of 11 inches and a height of 8 inches

The statement is True

Because, the base of the triangle is equal to the length of the rectangle and the height of the triangle is equal to the width of the rectangle

<u>case E)</u> The rectangle has a width of 4 inches

The statement is False

See the procedure

8 0
3 years ago
Read 2 more answers
Emma is building a wall around her garden. It has take 45 minutes,and she is 75% done what is the told time it will take Emma to
kicyunya [14]
Ok so first we need to write a fraction. 

75 percent/45 mins

then we convert that into a unit rate

1.67 percent/1 min

so, now that we have the unit rate, we know exactly how fast she is moving.

Now, we divide 25 by 1.67 because 25%  is the distance between the completion of the gate and current state of the gate. 

So we get 14.97, which we can safely round up to 15.

It will take her 15 mins more to finish the gate, and it has already taken 45, so 45+15=60

60 MINS TOTAL/ 1 HOUR



8 0
3 years ago
Solutions to the question please. The answer is 3.6km
Afina-wow [57]

Let the Distance between A and B be : C km

Given : The Man Travels from A to B at a Speed 4 km/h

⇒ The Man Travels 4 km in One Hour during his Journey from A to B

⇒ The\;Man\;Travels\;One\;km\;in\;\frac{1}{4}\;Hour\;during\;his\;Journey\;from\;A\;to\;B

⇒ The\;Man\;Travels\;C\;km\;in\;\frac{C}{4}\;Hour\;during\;his\;Journey\;from\;A\;to\;B

Given : The Man Travels from B to A at a Speed 6 km/h

⇒ The Man Travels 6 km in One Hour during his Journey from B to A

⇒ The\;Man\;Travels\;One\;km\;in\;\frac{1}{6}\;Hour\;during\;his\;Journey\;from\;B\;to\;A

⇒ The\;Man\;Travels\;C\;km\;in\;\frac{C}{6}\;Hour\;during\;his\;Journey\;from\;B\;to\;A

⇒ The\;Total\;Time\;Taken\;by\;the\;Man = \frac{C}{4} + \frac{C}{6} = \frac{3C + 2C}{12} = \frac{5C}{12}\;Hour

We know that One Hour contains 60 Minutes

⇒ The Total Time taken by Man =  \frac{5C}{12}\times60\;Min = 25C\;Min

Given Total Time Taken by Man is 45 Minutes

⇒ 25C = 45

⇒ C = \frac{45}{25} = 1.8\;km

But the Total Distance Traveled by the Man is 2C

⇒ 2C = 2 × 1.8 = 3.6 km

⇒ The Total Distance Traveled by the Man is 3.6 km

8 0
3 years ago
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