Answer:
$2.60
Step-by-step explanation:
13.00÷5=2.6
6 is in tens placement
Answer: 7a^2+2a+7
Step-by-step explanation:Distribute the Negative Sign:
=9a2+7a+8+−1(2a2+5a+1)
=9a2+7a+8+−1(2a2)+−1(5a)+(−1)(1)
=9a2+7a+8+−2a2+−5a+−1
Combine Like Terms:
=9a2+7a+8+−2a2+−5a+−1
=(9a2+−2a2)+(7a+−5a)+(8+−1)
=7a2+2a+7
Answer:
d= -16
Step-by-step explanation:
To answer this question you'll have to first simplify the equation to
0.2d+-1.2=0.3d+5-3+0.1d
then combining like terms you get
0.2d-1.2=(0.3d+0.1d)+(5+-3)
0.2d-1.2=0.4d+2
then subtract 0.4d from both sides leaving you with
-0.2d-1.2=2
then add 1.2 to both sides
-0.2d=3.2
after you divide both sides by -0.2
leaving you with the answer
D= -16
Answer:
6 and 8
Step-by-step explanation:
All you have to do is find the difference between the numbers in each factor pair and make sure the factors combine to give 48.
2 and 4 . . . . . have a difference of 2, but 2·4 ≠ 48
4 and 6 . . . . . have a difference of 2, but 4·6 ≠ 48
6 and 8 . . . . . have a difference of 2, and 6·8 = 48
24 and 2 . . . . do not have a difference of 2
Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
s=4
We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.