<span>In </span>mathematics<span>, a </span>matrix<span> <span>(plural </span></span>matrices) is a
rectangular array of numbers, symbols, or expressions, arranged in rows and
columns.
Given that
E = [ 1 2]
<span>A = | 3
0|</span>
<span> | 2
-1 |</span>
<span>2EA = 2 [1 2] | 3 0|</span>
<span> | 2 -1 |</span>
<span>2EA = [ 14
-4]</span>
<span> </span>
Answer:
- (x-4.5)^2 +(y +5)^2 = 30.25
- x = (1/8)y^2 +(1/2)y +(1/2)
- y^2/36 -x^2/64 = 1
- x^2/16 +y^2/25 = 1
Step-by-step explanation:
1. Complete the square for both x and y by adding a constant equal to the square of half the linear term coefficient. Subtract 15, and rearrange to standard form.
(x^2 -9x +4.5^2) +(y^2 +10y +5^2) = 4.5^2 +5^2 -15
(x -4.5)^2 +(y +5)^2 = 30.25 . . . . . write in standard form
Important features: center = (4.5, -5); radius = 5.5.
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2. To put this in the form x=f(y), we need to add 8x, then divide by 8.
x = (1/8)y^2 +(1/2)y +(1/2)
Important features: vertex = (0, -2); focus = (2, -2); horizontal compression factor = 1/8.
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3. We want y^2/a^2 -x^2/b^2 = 1 with a=36 and b=(36/(3/4)^2) = 64:
y^2/36 -x^2/64 = 1
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4. In the form below, "a" is the semi-axis in the x-direction. Here, that is 8/2 = 4. "b" is the semi-axis in the y-direction, which is 5 in this case. We want x^2/a^2 +y^2/b^2 = 1 with a=4 and b=5.
x^2/16 +b^2/25 = 1
_____
The first attachment shows the circle and parabola; the second shows the hyperbola and ellipse.
Answer:
Step-by-step explanation:
First you have to find the medians which is when you put the numbers in number order and find the one in the middle.
Class A: 60,65,70,70,75,80,80,85,90,90
=77.5
Class B: 75,85,85,85,90,90,90,90,95,100
=90
That the class B is more advanced, and they probably studied.
Dulari can deduct $3050 as moving expenses for her 2020 return
Pre-housing cost = $1475
Cost of the moving furniture = $2500
Cost of moving personal belongings = $3475
Total cost incurred while at Washington DC = $1475 + $2500 + $3475
Total cost incurred = $7450
AGI for 8 years = $84500
AGI for 1 year = $84000/8
AGI for 1 year = $10500
Since Dulari already spent $7450 trying to settle in Washington, she will spend ($10500 - $7450) as moving expenses for her return
$10500 - $7450 = $3050
Dulari can deduct $3050 as moving expenses for her 2020 return
Learn more here: brainly.com/question/3061964
<span>Let n, n+2, and n+4 represent the three consecutive even integers. Or 2 in your case</span>