The points (1,-2) and (4,16) are not in the line but the point (-3,-18) is on the line. (Work is shown in the image)
9514 1404 393
Answer:
(4x +5)
Step-by-step explanation:
The square of a binomial is ...
(a +b)² = a² +2ab +b²
We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:
√(16x²) = 4x
√25 = 5
So, our first choice of side length for the square is ...
s = (4x +5) . . . . . side length of the square
__
Using the above identity, we can verify that the square of this gives the right area:
A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²
A = 16x² +40x +25 . . . . . . as required
The answer is a because if you do the math right the it will come up at 4, 9 which means that state a double as much as B
A.
s=number of strawberry wafers
c=number of chocolate wafers
3s+1c=30
s+c=22
B.
multiply 2nd equation by -1 to do elimination
add to the first equation
3s+1c=30
<u>-s-c=-22 +</u>
2s+0c=8
2s=8
divide by 2
s=4
sub back
s+c=22
4+c=22
c=18
I used elimiation because it seemed right for this one
I can also do subsitution
3s+1c=30
s+c=22
minus s both sides in 2nd equation
c=22-s
sub for c in other equation
3s+22-s=30
2s+22=30
minus 22 both sides
2s=8
divide by 2
s=4
and now
c=22-s
c=22-4
c=18
substiotion because it's easier for some people to see
18 chocolate
4 strawberry
We need to write equation for both mandy and bill on how many books they read depending on how many months passed.
Mandy's equation:
16 + 2x
she starts with 16 read books and she reads 2 books each month which is in total 2*x where x is number of months
Bill's equation:
4x
because from table we can see he is reading 4 new books each month.
now we need to make those 2 equations equal to eachother and solve for x because we want to see after how many months both will read the same that is why we set them equal.
16 + 2x = 4x
16 = 2x
x = 8
That means that in december he will catch her (if i counted months correctly :) )