Answer:
1.) 
2.) 
3.) 1
4.) 
5.) 
6.) 
Step-by-step explanation:
The 2 steps for all of these is to get common denominators and then add and simplify.
1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4
2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3
3.) 3/6 + 1/2 (common denominator) 3/6 + 3/6 = 6/6 (simplify) = 1
4.) 1/6 + 4/8 (common denominator) 8/48 + 24/48 = 32/48 (simplify) = 2/3
5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8
6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8
Answer:
Same sides
Step-by-step explanation:
When the sides are the same then the triangles are congruent. because they all have exactly the same sides. because the two triangles do not have exactly the same sides.
Answer:
103,000
Step-by-step explanation:
Use your knowledge of decimal arithmetic. Or, use a calculator.
100,000(1 +.03) = 100,000·1.03 = 1000·103 = 103,000
Answer:
3^4 x 3^-7
Step-by-step explanation:
Hello.
First off, you can factor this equation to find the missing x-intercept.
y = x² + 8x + 12
y = (x + 6)(x + 2)
Then, you can use the zero product property to find the x values.
x + 6 = 0 x + 2 = 0
- 6 - 6 - 2 - 2
x = -6 x = -2
As an ordered pair: (-6, 0) and (-2, 0)
Thus, your answer is x = -6, -2.