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AysviL [449]
3 years ago
7

Two times the quantity of seven less than one-fourth of a number is equal to four more than one-third of the number

Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0

Answer:jm40103

Step-by-step explanation:

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What are the coordinates of the point that is one half the distance between A(-1, -2) and B(6, 12)?
MA_775_DIABLO [31]

The coordinates of the point that is one-half the distance between A(-1,-2) and B(6,12) is (2.5,5)

What is the midpoint?

The mid-point lies midway between the two ends. Its x value lies in the middle of the other two x values. Its y value lies in the middle of the other two y values.

Given, A(6,12) = (x_{1}, y_{1} )

           B(6,12) = (x_{2}, y_{2} )

Let M is a midpoint of AB, then

M(x,y)=(\frac{x_{1}+x_{2}  }{2} ,\frac{y_{1} +y_{2}}{2} )= (\frac{-1+6}{2} ,\frac{-2+12}{2} )=(2.5,5)

The midpoint of point AB is M(2.5,5)

Therefore, the coordinates of the point which is one-half the distance between A(-1,-2) and B(6,12) is M(2.5,5).

To learn more about the midpoint

brainly.com/question/24676143

#SPJ1

5 0
1 year ago
The large square below has a side length of 8 inches, and the smaller white square inside the large square has a side length of
9966 [12]
The image is not attached with, but by reading the question it is obvious that the blue region lies inside the larger square and outside the smaller square. That is the region between the two squares is the blue region.

We know the dimensions of both squares, using which we can find the area of both squares. Subtracting the area of smaller square from larger one, we can find the area of blue square and further we can find the said probability.

Area of larger square = 8 x 8 = 64 in² 
Area of smaller square = 2 x 2 = 4 in²
Area of blue region = 64 - 4 = 60 in²

The probability that a randomly chosen point lies within the blue region = Area of blue region/Total area available

Therefore, the probability that a point chosen at random is in the blue region = 60/64 = 0.9375
7 0
3 years ago
Read 2 more answers
How does one do this? I’ve tried and still can’t get it please help
professor190 [17]

Answer:

20

Step-by-step explanation:

An angle bisector cuts an angle into two equal parts.  So m∠ACE = m∠ECB.

m∠ACE = m∠ECB

2x − 15 = x + 5

x = 20

6 0
3 years ago
If the CPI (consumer price index) of 141 increased 8.3 % this year. What was the end of year CPI?
DENIUS [597]

If the CPI increased by 8.3%, therefore this means that there was a fractional increase of 0.083. So amount increased is:

 

CPI increase = 141 * 0.083 = 11.703

 

Therefore the end of year CPI is the sum of the original and the increase:

 

end of year CPI = 141 + 11.703 = 152.703

 

Answer:

152.703

4 0
3 years ago
Given the function f(x) = −3x3 + 9x2 − 2x + 3, what part of the function indicates that the left end starts at the top of the gr
shutvik [7]

Answer: The correct option is, The coefficient of the first term.

Step-by-step explanation:

The given function is,

f(x)=-3x^3+9x^2-2x+3

End behavior of the polynomial function : It is defined as the graph of f(x) as x approaches +\infty and -\infty.

The end behavior of the graph depends on the leading coefficient and degree of the polynomial.

As, the degree of the polynomial is '3'. So, the leading coefficient will determine the structure of the graph.

Therefore, the coefficient of the first term will indicate that the left end starts at the top of the graph.

The graph is also shown below.

5 0
3 years ago
Read 2 more answers
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