Answer:
19.8 cm
Step-by-step explanation:
Using the Pythagorean theorem , the Square of the distance between the top of the piece and the Shadow Is the sum of the height of the piece. and the lenght of the shadow. basically Just build a triangle with the 3 points you are given: height of the piece, lenght of the shadow and distance between the 2. so it's sqrt(13^2+15^2) = sqrt(394) =19.8 cm
Answer:
<h2>
x = (12-k)/2, y = k, z = (k-6)/4 </h2>
Step-by-step explanation:
Given the system of equation
x + y - 2z = 9 ... 1
3x + y + 2z = 15 ...2
x - 5y + 22z = -27... 3
First let us reduce the system of equation into two with two unknowns.
Subtracting 1 from 3
y-(-5y) + (-2z-22z) = 9-(-27)
y+5y + (-24z) = 9+27
6y-24z = 36 ... 4
Multiplying equation 1 by 3 and subtracting from equation 2
3x + 3y - 6z = 27
3x + y + 2z = 15
On subtracting both;
(3y-y)+(-6z-2z) = 27-15
2y-8z = 12 ... 5
Equating 4 and 5
6y-24z = 36 ... 4
2y-8z = 12 ... 5
Multiplying equation 5 by 3 the equation becomes;
6y-24z = 36 ... 6
6y-24z = 36 ... 7
We can see that equation 6 and 7 are the same;
let y = k
6k - 24z = 36
k - 4z = 6
4z = k-6
z = k-6/4
Substituting y = k and z = k-6/4 into equation 1 to get x
From 1; x + y - 2z = 9 ... 1
x + k -2( k-6/4) = 9
x + k - (k-6)/2 = 9
x = 9+(k-6)/2-k
x = {18+(k-6)-2k}/2
x = (12-k)/2
The solutions to the system of equations are x = (12-k)/2, y = k, z = (k-6)/4 where k is any constant. This shows that the system of equation has infinite solutions.
Answer:
-8x^2+6x-20
Step-by-step explanation:
2(x^2+3x)-10(x^2+2)
2x^2+6x-10x^2-20
(2x^2-10x^2)+6x-20
-8x^2+6x-20
Beaker A contains more water.
First,find equivalent fraction.
Next,compare the amounts you will see Beaker A contains more water.
Therefore,Beaker A contains more water.
Answer:
a=9+6
p=-30+20
z=15+(-12)
x=-10+(-7)
Step-by-step explanation:
