Answer:
See below
Step-by-step explanation:
![\sqrt[3]{49} = 3.65930571002 \approx3.66 \\ \\ so \: \sqrt[3]{49} should \: lie \: at \: 3.6 \: which \: \\ fall \: between \: 3 \: and \: 4.](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B49%7D%20%20%3D%203.65930571002%20%5Capprox3.66%20%5C%5C%20%20%5C%5C%20so%20%5C%3A%20%20%5Csqrt%5B3%5D%7B49%7D%20should%20%5C%3A%20lie%20%5C%3A%20at%20%5C%3A%203.6%20%5C%3A%20which%20%5C%3A%20%20%5C%5C%20fall%20%5C%3A%20between%20%5C%3A%203%20%5C%3A%20and%20%5C%3A%204.)
Actually Lin did a mistake, she obtained square root and not cube root.
9514 1404 393
Answer:
2πr cm
Step-by-step explanation:
The circumference of a circle of radius r is ...
C = 2πr
For a radius of (r cm), the circumference is ...
A = 2π(r cm) = 2πr cm
For a radius of (2r cm), the circumference is ...
B = 2π(2r cm) = 4πr cm
Then the difference between the circumferences is ...
B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference
Vă rugăm să găsiți imaginea întrebării atașate mai jos:
Răspuns:
A este proporțională
B este proporțională
C nu este proporțional
D este proporțional
E nu este proporțională
F este proporțional
Explicație pas cu pas:
Pentru a determina proporționalitatea:
Obținem constanta proporționalității
Pentru valorile din tabelul 1;
Luând primul punct:
x = 1; y = 5
1 α 5
1 = 5k
k = 1/5
Test:
y = 15
x = k * y
x = 1/5 * 15; x = 3
Prin urmare; (a) este proporțională
B.)
x = 2; y = 6
2 α 6
2 = 6k
k = 2/6
k = 1/3
Test:
y = 15
x = k * y
x = 1/3 * 15; x = 5
Prin urmare; (b) este proporțională
C.)
x = 2; y = 6
7 α 3,5
7 = 3,5k
k = 7 / 3,5
k = 2
Test:
y = 5
x = 2 * 3.5
x = 7
Prin urmare; (c) nu este proporțională
x = 0,5; y = 1
0,5 α 1
0,5 = k
Test:
y = 4
x = k * y
x = 0,5 * 4; x = 2
Prin urmare; (d) este proporțională
x = 0,2; y = 2
0,2 α 2
0,2 = 2k
k = 0,2 / 2
k = 0,1
Test:
y = 4,5
x = 0,1 * 4,5
x = 0,45
Prin urmare; (e) nu este proporțională
x = 1; y = 12
1 α 12
1 = 12k
k = 1/12
Test:
y = 84
x = 1/12 * 84
x = 7
Prin urmare; (f) este proporțională
Part A
Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis
Part B
Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°
Part C
Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:
- First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
- First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points
Part D
Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.
Given that the line passes through the two points (-3,4) and (2,8)
We need to determine the equation of the line.
<u>Slope:</u>
The slope of the line can be determined using the formula,

Substituting the points (-3,4) and (2,8) in the above formula, we get;


Thus, the slope of the line is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the point (-3,4) and
in the above formula, we have;




Thus, the equation of the line is 