Answer:
Step-by-step explanation:
15) point D=(3,1)
for AB we can see that there is an exact triangle of 2 and 5
so AD = = and 2(AD) = AB
AB = 2* ( this is an exact answer, leave it with the square root)
16) find CD length we know the points at each end so use the distance formula P1=(-3,4) P2=(3,1)
Dist. =
Dist. = = = 3 ( exact answer leave the square root )
CD = 3
17) 1/3 of the way along CD from D towards C is where the centroid is.. I just happen to know that from doing this too often. :/
so that mean * is the distance from D to the centroid or
also b/c I happen to know.. :/ c = = off the top of my head I can see that the point (1,2) is our centroid for this object.. they made it really easy ... okay.. relatively easy. .:D
Centroid = (1,2)
Answer:
$2.50
Step-by-step explanation:
Let's set up a proportion using the following setup.
price / pens = price / pens
We know that it costs $4.00 for 8 pens.
$4.00 / 8 pens = price / pens
We don't know how much it costs for 5 pens. Therefore, we can say it costs $x for 5 pens.
$4.00 / 8 pens = $x / 5 pens
4/8=x/5
We want to solve for x (the cost for 5 pens). Therefore, we must get x by itself on one side of the equation. x is being divided by 5. The inverse of division is multiplication, so multiply both sides of the equation by 5.
5*(4/8)=(x/5)*5
5*(4/8)=x
5*0.5=x
2.5=x
x= $2.50
Ivan should pay $2.50 for 5 pens.
Answer:
<h3>The number is 500</h3>
Step-by-step explanation:
Let the number be x
The quotient of a number divided by five is written as
the number decreased by 400 is written as
x - 400
Equate the two expressions
We have
Multiply through by 5
That's
x = 5x - 2000
x - 5x = - 2000
- 4x = - 2000
Divide both sides by - 4
x = 500
Hope this helps you
the number is how many years
2x^-2y^-2 = 2/x^2y^2 = 2/(2)^2 x (3)2 = 2/4 x 9 = 2/36 = 1/18