Jose bought a 10-pound bag of food for his dog.

Mathematics

1 answer:

I am Lyosha [343]3 years ago

8 0

Answer:

Step-by-step explanation:

so your starting value (10) is not going to have the x by it. instead he is feeding his dog so it will be subtracted from.

x is the number of days he can feed his dog. this will be mulitplied with something.

0.5 is how much he feeds his dog each day. this will be times the number of days or x.

so it makes your answer $y=10-0.5x$

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Find four consecutive positive integers such that the product of the first and fourth is four less than twice the first multipli

r-ruslan [8.4K]

Four consecutive integers... n, n+1, n+2, n+3.

The product of the 1st and 4th is four less than twice the 1st multiplied by the 4th.

n(n+3)=2n(n+3)-4 perform indicated multiplications...

n^2+3n=2n^2+6n-4 subtract n^2 from both sides

3n=n^2+6n-4 subtract 3n from both sides

n^2+3n-4=0 factor

n^2-n+4n-4=0

n(n-1)+4(n-1)=0

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3 years ago

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vlabodo [156]

Answer:

The above result is proved with the help of Pythagoras theorem and explained below.

Step-by-step explanation:

Given figure ABCD in which AD=BC and all angles intersect at right angle. Hence, the triangle formed inside ADC and ABC are right angled triangle.

In triangle ADC,

By applying Pythagoras theorem, we get

$AC^{2}=AD^{2}+DC^{2}$ → (1)