answer:
(5,5).
explanation:
ordered-pair: (8,8) (2,2)
x1 (8), y1 (8). x2 (2), y2 (2)
x: (8+2/2)= 5.
y: (8+2/2)= 5.
midpoint formula:
Answer: b) 6
Step-by-step explanation:
Given : The illuminance of a surface varies inversely with the square of its distance from the light source.
i.e. for d distance and l luminance , we have
, where k is constant. (1)
If the illuminance of a surface is 120 lumens per square meter when its distance from a certain light source is 6 meters.
From (1), we have
(2)
For the distance (d) corresponds to the illuminance to 30 lumens per square meter , we have
Put value of k , we get
Then , the number of meters should the distance of the surface from the source be increased= 12 meters- 6 meters = 6 meters.
Answer:
The answer is $61.20
Step-by-step explanation:
First you multiply 72 by .15 (which is 15% converted to a decimal), which gives you 10.8. You then subtract 10.8 from 72.
Answer:
A piece of Jewelry costs $4.5 and a hair accessory costs $1.5.
Step-by-step explanation:
Let the price of a piece of jewelry is $x and that of a piece of hair accessories is $y.
So, from the given conditions we can write two different equations as
5x + 8y = 34.5 ............ (1) and
2x + 16y = 33 ............... (2)
Now, solving the equations (1) and (2) we get
2x + 2(34.5 - 5x) = 33
⇒ 8x = 36
⇒ x = $4.5
Again, from the equation (2) we can write
2(4.5) + 16y = 33
⇒ 16y = 24
⇒ y = $1.5
Therefore, a piece of Jewelry costs $4.5 and a hair accessory costs $1.5. (Answer)
A(n) = a1 + (n - 1) * d
A(n) = -3 + (n - 1) * -2.2
n = term to find
a1 = first term = -3
d = common difference = -2.2
we can already see that the first term is -3 <==
4th term..
A(4) = -3 + (4 - 1) * -2.2
A(4) = -3 + 3(-2.2)
A(4) = -3 - 6.6
A(4) = - 9.6 <== 4th term
10th term...
A(10) = -3 + (10 - 1) * -2.2
A(10) = -3 + 9 * - 2.2
A(10) = -3 - 19.8
A(10) = - 22.8 <===10th term