Answer:
Step-by-step explanation:
When we reflect accrox x-axis, that means we have to change y-coordinates to their opposite, from positive to negative, or from negative to positive.
So, in this case, the given points are
If we reflect these points accros x-axis, they would be
Therefore, the right answer is the third choice.
Answer: 0.028578 km
Step-by-step explanation:
To justify the yearly membership, you want to pay at least the same amount as a no-membership purchase, otherwise you would be losing money by purchasing a yearly membership. So set the no-membership cost equal to the yearly membership cost and solve.
no-membership costs $2 per day for swimming and $5 per day for aerobic, in other words, $7 per day. So if we let d = number of days, our cost can be calculated by "7d"
a yearly membership costs $200 plus $3 per day, or in other words, "200 + 3d"
Set them equal to each other and solve:
7d = 200 + 3d
4d = 200
d = 50
So you would need to attend the classes for at least 50 days to justify a yearly membership. I hope that helps!
Answer:
Hence, the value of expression (2) is ⇒ 1.08.
Step-by-step explanation:
We are given a fact such that:
4.86 : 0.45=10.8 ------(1)
Now we are asked to find the value of the mathematical expression:
4.86 : 4.5 --------(2) without actually dividing.
We could clearly see that the numerator in both the mathematical expression is same only there is a difference in there denominator.
The denominator in second expression is just a multiplication of the denominator of first expression by 10.
Hence we divide both side of expression (1) by 10 to obtain the expression (2).
i.e. 4.86: (0.45×10)=10.8:10
i.e. 4.86: 4.5= 1.08
Hence, the value of expression (2) is 1.08.
Answer:
Step-by-step explanation:
1) 8(3a+6) = 9(2a-4)
First, we use distributive property on both sides.
Once we do this, we get:
24a + 48 = 18a - 36
Add 36 to each side.
24a + 84 = 18a
Subtract 24a from each side.
84 = -6a
Divide each side by -6
-14 = a
2) 6(2x-8)+3 = 15
Again, we use distributive property:
12x-48+3 = 15
Subtract 3 from each side
12x - 48 = 12
Add 48 to each side
12x = 60
Divide each side by 12
x = 5
3) -5(3x+6) = -3(4m-2)
Distributive property:
-15m - 30 = -12m + 6
Add 30 to each side
-15m = -12m + 36
Add 12m from each side
-3m = 36
Divide each side by -3
m = -12
What is the measure of angle 2?
Answer:
3x+9
Step-by-step explanation:
i think since it is across from there