Answer:
1. (a-c)
+ b
2. 9m + 2
3. 6a
4. (5a - 3b)
Step-by-step explanation:
1. since a and c share the same squareroot x, you can combine these together.
2. First add like terms together. 4m - m + 6m = 9m. Then 5
and -3
combined equals 2
3. First simplify the square roots. squareroot of 16 is 4. square root of 49 is 7. square root of 81 is 9. They are all multiplied by a in the expression. Thus 4a - 7a + 9a = 6a
4. First simplify the radicals, they are not perfect. square root of 125 is equivalent to sqrt(25 * 5), which sqrt of 25 is 5, but we keep the sqrt of 5. For sqrt of 45, it is the same as sqrt9 * sqrt5. sqrt of 9 is the same as 3 and we keep sqrt 5. Thus we get the below:
5a
- 3b
We can combine the two like terms and get the final answer above.
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Answer:
150
Step-by-step explanation:
1. 4^3 = 4 x 4 x 4 = 16 x 4 = 64
2. 64 - 4 = 60
3. 60 ÷ 2 = 30
4. 30 ⋅ 5 = 150
Answer: I think it’s D
Step-by-step explanation:
it’s because 8^2 + 13^2 equals 233 and when square rooted equals 15.26 not 20 so no.
Answer:
5.4 m
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the various lengths is ...
cd² = ac² +ad²
cd² = (2.4 m)² + (1.8 m)² = 9.00 m²
cd = √(9.00 m²) = 3.0 m
Since cd = cb and ab = ac+cb, we have ...
ab = 2.4 m + 3.0 m = 5.4 m
_____
You may recognize this as a 3-4-5 right triangle with a scale factor of 0.6. We are asked for the sum of the lengths of the "4" and "5" legs, which is ...
0.6·(4+5) = 5.4