Answer:
x= −2/7
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Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(x−2)=−2(x+6)
(5)(x)+(5)(−2)=(−2)(x)+(−2)(6)(Distribute)
5x+−10=−2x+−12
5x−10=−2x−12
Step 2: Add 2x to both sides.
5x−10+2x=−2x−12+2x
7x−10=−12
Step 3: Add 10 to both sides.
7x−10+10=−12+10
7x=−2
Step 4: Divide both sides by 7.
7x/7=−2/7
x=−2/7
Answer: 0 and 1, in that order
The numbers <u> 0 </u> and <u> 1 </u> are respectively the additive and multiplicative identities of rational numbers.
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Explanation:
The additive identity is 0 because adding 0 to any number leads to the original number. For instance, 7+0 = 7. In general we can say x+0 = x or we could also say 0+x = x.
The multiplicative identity is 1 because multiplying 1 with anything leads to that original number. Example: 1*5 = 5 or 9*1 = 1. The general template is x*1 = x which is the same as saying 1*x = x.
These ideas not only apply to rational numbers, but to real numbers as well.
14). (Take π value as 22/7)
circumference = 66in
2πr = 66in
2×22/7×r = 66
r = 66×7/2×22
r = 21/2in
d = 2r => d = 2×21/2
therefore diameter of the circle = 21in
15). (Take π value as 3.14)
Circumference = 3.14m
2πr = 3.14m
2×3.14×r = 3.14
r = 3.14/3.14×2
r = 1/2m
Therefore the radius of the circle = 0.5m
16). (Take π value as 22/7)
Circumference = 33km
2πr = 33km
2×22/7×r = 33
r = 33×7/2×22
r = 21/4
d = 2r
d = 2×21/4
d = 21/2km
Therefore the diameter of the circle = 10.5km
She can find out answer by dividing 21÷3 and the answer is 7
She can make 7 bird house