The inequality is [250x+475y] \leq [6700]. The answer to the question is yes the truck is overloaded because if you plug the in the inputs, 7275 is not less than or equal to 6700.
Answer:
Step-by-step explanation:
Please refer to the attachment.
By AA Similarity, the two triangles are similar.
Therefore, corresponding parts of them are proportional.
Therefore, we can write the following proportion:
We will solve for x. Cross-multiply:
Distribute:
Subtract 21 from both sides:
Divide both sides by 7. So, the value of x is:
However, that is only the value of x.
The shadow of the tree is (x+3).
Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:
The factors are
(x-y)(x-y)
or
(x-y)^2
Explanation:
We need to factor the trinomial
x^2-2xy+y^2
The factors of x^2 = (x)(x)
The factors of y^2 = (y)(y)
Since the second sign is positive we are adding the factors meaning the signs of the factors need to be the same. Since the first sign is negative both signs must be negative.
The factors are
(x-y)(x-y)
or
(x-y)^2
Check by FOIL
Firsts (x)(x) = x^2
Outers (x)(-y) = -xy
Inners (-y)(x) = -xy
Lasts (-y)(-y) = y^2
combine the middle terms
(-xy)+(-xy) = -2xy
<span>x^2-2xy+y^2</span>
I've done it on the attached pages.
I hope this helps you...
Answer:
weather forecasting, health insurances
Step-by-step explanation:
probability is used by weather forecasters to assess how likely it is that there will be rain, snow, clouds, storms, etc. on a given day in a certain area. health insurance also uses statistics and probability to determine how likely it is that certain people will spend a certain amount on healthcare each year.
