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Stels [109]
3 years ago
5

Shortest distance to the origin y=1/2x^2 -4

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
X=0 y=-2
y=0 x=4

The shortest distance has to be the perp bisector from origin to the midpoint of the line.
midpoint =(2,-1)  and distance from the (0,0) origin is sqrt(5) hence, sqrt(5).

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What is the first step in solving the quadratic equation -5x2+8=133
astraxan [27]
I don’t think you can solve by using quadratic equation

4 0
3 years ago
Over the course of a year, the population of rats in Memphis increased from 350000 to 406000.
madreJ [45]
It is very important to look at all the details that are already given in the question. Only then the problem should be started for solving.
Initial population of Memphis = 350000
population of Memphis after 1 year = 406000
Then
Increase in population of Memphis in a year = 406000 - 350000
                                                                       = 56000
Then
Percentage increase in the
population of Memphis in a year = (56000/350000) * 100
                                                    = (56 * 10)/35
                                                    = 560/35
                                                    = 16 percent
So there is a 16% increase in the population of Memphis in a year.
4 0
4 years ago
Determine the intercepts of the line that passes through the following points
shepuryov [24]

Answer:

(2,0) - x -intercept

(0, 1.5) - y-intercept

Step-by-step explanation:

The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.

The x values increase by 4.

So the rate of change is -3/4.

This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.

To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:

x                      y

-2                    3

0                      ???

2                      0

6                     -3

10                    -6

14                    -9

Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.

5 0
3 years ago
Use the quadratic formula to solve the equation.
barxatty [35]
X= 5+ √5/4, x=5-√5/4 USE SYMBOLAB!!
6 0
3 years ago
The average height of a class of 18 students is 105 cm After arrival of 7 new students the
lutik1710 [3]

Total number of students = 18 + 7 = 25

Average height of the 25 students = 105 - 5 = 100 cm


Sum of height of all students = 100 x 25 = 2500cm


Answer: 2500cm

3 0
3 years ago
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