The answer in 14.3
You use a proportion to compare AE with AD and AB with AC.
9/14 = 9.2/x
x=14.3
(14 is the length of AD)
Answers 17,83,83,72
#1. 1+7=8 and 1^2+7^2=50
#2. 8times 3=24 8-3=5
#3. 8^2+3^2=64+9=73
#4. 7-2=5. 7^2-2^2= 49-4=45
We have the following function:
(x) = 3x - 7
The function f translated 6 units up and 2 units rigth:
6 units up:
y = 3x - 7 + 6
2 units rigth:
y = 3(x-2) - 7 + 6
y = 3x - 6 - 7 + 6
Finally:
g(x) = 3x - 7
The function f reflected about the y-axis and translated 7 units left:
reflected about the y-axis:
y = 3(-x) - 7
y = -3x - 7
translated 7 units left:
y = -3(x+7) - 7
y = -3x - 21 - 7
y = -3x -28
Finally:
g(x) = -3x - 28
The function f stretched vertically by a factor of 2 and translated up by 5 units:
stretched vertically by a factor:
y = 6x - 14
translated up by 5 units:
y = 6x - 14 + 5
y = 6x - 9
Finally:
g(x) = 6x - 9
The function f stretched vertically by a factor of 4 and translated up by 9 units:
stretched vertically by a factor of 4:
y = 12x - 28
translated up by 9 units:
y = 12x - 28 + 9
y = 12x - 19
Finally:
g(x) = 12x - 19
Answer:
x = 2
y = -1
Step-by-step explanation:
Make the coefficient of x the same
Multiply the first equation by 29
31x + 29y = 33 becomes
899x + 841y = 957
Multiply the second equation by 31
29x + 31y = 27 becomes
899x + 961y = 837
Subtract the equations
(899x + 841y) - (899x + 961y) = 957 - 837
(899x - 899x) + (841y - 961y) = 120
841y - 961y = 120
-120y = 120
y = 120/-120 = -1
Substitute the value of y into both equations to find the value of x and check its right.
31x + 29y = 33
31x + 29(-1) = 33
31x - 29 = 33
31x = 33 + 29
31x = 62
x = 62/31 = 2
29x + 31y = 27
29x + 31(-1) = 27
29x - 31 = 27
29x = 27 + 31
29x = 58
x = 58/29 = 2