Answer:
1. 6, 2. 36, 3. 216, 4. 1296, 5. 7776, 6. 46656, 7. 279936
Step-by-step explanation:
Looking at the graph, you see that the absolute value of |x| is raised up 1.
So the answer is |x| + 1
From 1st equation
d + e = 2
d = 2 - e
From 2nd equation, subtitute d with 2 - e
d - e = 4
2 - e - e = 4
2 - 2e = 4
-2e = 2
e = -1
Find d
d = 2 - e
d = 2 - (-1)
d = 3
The solution is (3,-1)
1) G=140º - angles on a straight line add to 180, H=140º - corresponding angles are congruent
2) set up the equation, since co-interior angles add to 180º the equation should be: x+40+3x+60
add like terms
4x+100=180
subtract 100
4x=80
divide by 4
x=20
3. the angles given are alternate angles meaning they are congruent, set up and equation: 3x-10=7x-42
add like terms
-4x=52
divide by 4
x=-13
To find angle DHG input the answer into the angles equation
7(13)-42
91-42
49
DHG=49º
Answer:
AB = 34 and AC = 16
BC^2 = 34^2 - 16^2
BC^2 = 1,156 - 256
BC^2 = 900
BC = 30
Step-by-step explanation: