Answer:
Step-by-step explanation:
1. (a) 24 X 3/4= 18 multiplication
you have to multiply to get a smaller answer since you are using a fraction.
2. (a) 24 / (-3/4)= -32 division
you have to divide to get a bigger number than started since you are using a fraction
3. (A) 12-15= -3 subtraction
when you subtract a bigger number than the first number you end up normally with a negative number
4. (a) 12 -(-15) subtraction
when you subtract with a negative number you distribute so the two negatives cancel out and it become an addition sign. (if you look at it the two negatives and the parenthesis looks like an addition sign (+)
5. (A) -18 / (-3/4) =24 division
when you divide two negative values you will always get a positive answer. And again dividing a fraction will get you a bigger answer.
Answer:
-3√3
Step-by-step explanation:
try that
Answer:
Part 5) The roots are x=-3 and x=1.5
Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)
Step-by-step explanation:
The original volume of the shape was 250. You come up with this by multiplying all sides together. So, 5x5x10=250.
We do the same for the new shape, which now has a 7 in place of the 5. So 7x7x10=490.
Lastly, we subtract the volume of the new shape from the volume of the old shape to see the difference. So, 490-250=240.
So the answer to this is 240.
Answer:
The lengths are 5, 12, and 13.
Step-by-step explanation:
Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.
The Pythagorean Theorem may be used to find the lengths.
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= 
a, b are the short and long lengths and c is the hypotenuse
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→ 
→ 
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(The length cannot be negative)
The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.
