Answer:
55 for the top left and 35 for the top right
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
7x+6 + 6x -7 + 90 = 180
Combine like terms
13x+89 = 90
Subtract 89 from each side
13x+89-89 = 180-89
13x = 91
Divide by 13
13x/13 = 91/13
x =7
The top left angle is
7x+6
7*7+6 = 49+6 = 55
The top right angle is
6x-7
6*7-7 = 42-7 = 35
I got y = two over three x
Answer:
The translation corresponds to : ![g(x)=\sqrt[3]{x-4}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7Bx-4%7D)
which is the first option in your list of possible answers
Step-by-step explanation:
Notice that this new function's graph responds to a horizontal translation to the right of the original graph of ![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
. Notice that the crossing of the x-axis, which for f(x) is at the origin (0, 0), has now moved to the point (4,0), which means a translation to the right in exactly 4 units.
Recall that horizontal translations are performed by subtracting from the independent variable (x) , the number of units you move (in this case 4)
Therefore the new function should look like:
Answer:
29
Step-by-step explanation:
Let the smaller integer be x.
The other integer is 1 greater than 3 times x, or 3x + 1.
The product is 154.
x(3x + 1) = 154
3x^2 + x - 154 = 0
157 = 2 * 7 * 11
14 * 11 = 154
22 * 7 = 154
(3x + 22)(x - 7) = 0
3x + 22 = 0 or x - 7 = 0
3x = -22 or x = 7
x = -22/3 or x = 7
-22/3 is not a positive integer, so we discard that solution.
The smaller integer is 7.
3x + 1 = 3(7) + 1 = 22
The greater integer is 22.
The sum of the integers is 7 + 22 = 29
