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spayn [35]
3 years ago
9

A vertical parabola goes through (1,-2), (-3, 10), and (4, 31). Use matrices to

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

D = 1/2 , E = -1/2 , F = -5/2

Step-by-step explanation:

vertical parabola : ( 1,-2), ( -3, 10 ), (4, 31 )

General form ; x^2 + y^2 + Dx + Ey + F = 0

( 1 ,-2 ) = x1, y1

( -3, 10 ) = x2, y2

( 4, 31 ) = x3, y3

hence :

y1 = ax_{1} ^2 + bx_{1} + c

y2 = ax_{2} ^2 + bx_{2}  + c

y3 = ax_{3} ^2  + bx_{3} + c

attached below is the detailed solution required

D = 1/2 , E = -1/2 , F = -5/2

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What is the m GE bisects Find m
nirvana33 [79]

Answer:

DGF = 106

Step-by-step explanation:

Bisects means to divide in half, with two equal parts

DGF = DGE + EGF

DGE = EGF

DGF = DGE + DGE

DGF = 53+53

DGF = 106

8 0
2 years ago
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An airplane encountered a head wind during a flight between Joppetown and Jawsburgh which took 5 hours and 30 minutes. The retur
yawa3891 [41]

Answer: a) 490.91 mph

b) 540 mph

c) speed of the​ wind = 49.1 mph

Step-by-step explanation:

Given that flight between Joppetown and Jawsburgh took 5 hours and 30 minutes.

Time t = 5.5hours

Distance = 2700 miles

Speed = distance/ time

Speed = 2700/5.5

Speed = 490.91 mph

The return flight took 5 hours of the same distance from = 2700 ​miles

Speed = 2700/5 = 540 mph

speed of the​ wind = the difference in the two speed

speed of the​ wind = 450 - 490.91

speed of the​ wind = 49.1 mph

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6 0
2 years ago
What number is 15% of 60
Lady bird [3.3K]

Turn percentage into a fraction.

15% = 0.15

Divide.

60 / 0.15 = 400

Hence, 15% of 60 is 400.

Hope This Helped! Good Luck!

3 0
3 years ago
I need the description of how to draw a parallel line and a perpendicular line.
EleoNora [17]
How to Draw Parallel Lines:
1. Draw a straight line any length

2. Draw another straight line any length

(note : ensure the lines will never intersect)

They shall never horizontally or vertically.

How to Draw Perpendicular Lines:
1. Draw a straight line vertically

2. Draw a straight line horizontally

(note : length does not necessarily matter)

The two lines must cross at right angles to each other!!

With the parallel line instructions, simply just draw lines but, when given the slopes of two lines, you must get graphing paper or make your own, and graph it by plotting points and then getting a ruler and tracing it.

With the perpendicular lines it helps with showing a relation between situations along with given slopes. They shall intersect always and meet at a 90° angle. Use the equations and plot them then take a ruler and trace them and notice the intersection. Solve it yourself and see that the intersection and the answers you got are the same.
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3 years ago
Select the correct answer from each drop-down menu.
olganol [36]

<u>Answer:</u>

Planet A is inner  

Planet A is Mars

Planet B is Outer

Planet B is Uranus

<u>Solution:</u>

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On other hand, the outer planets are the planets which are far away from the sun. They are mostly huge, ringed, gaseous and have several moons.

In the given problem,  

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4 0
3 years ago
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