Lakeisha has 3 yards of fabric. She wants to make a dress that requires 2 yards of fabric. How much fabric will she have left ov
1 answer:
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Answer:
10
Step-by-step explanation:
The given is a special right triangle with angle measures as follows:
45-45-90
The side lengths for this special right triangle are represented as follows:
a (the side length that sees angle measure 45)
a (the side length that sees angle measure 90)
İn the image we can see that one of the side length that sees angle measure 45 is 10
so c, the side length that sees angle measure 90 (hypotenuse),
is equal to
10
Using a proportional relationship, we have that:
- a) The constant of proportionality is of 0.625, hence the equation is:
.
- b) The distance of two cities that are 5 miles apart is of 8 kilometers.
- c) When they are 200 kilometers apart, we have that the distance in miles is of
.
- A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.
- In which k is the constant of proportionality.
Item a:
From the graph, when x = 8, y = 5, hence:
The constant of proportionality is of 0.625, hence the equation is: .
Item b:
From the graph, when y = 5, x = 8, hence:
- The distance of two cities that are 5 miles apart is of 8 kilometers.
Item c:
When they are 200 kilometers apart, we have that the distance in miles is of .
You can learn more about proportional relationship at brainly.com/question/13550871
Answer:
The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
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Step-by-step explanation:
Given
Required
Find all zeros of the f(x)
If then:
And is a factor
Divide f(x) by x - 8
Expand the numerator
Rewrite as:
Factorize
Expand
Factorize
Multiply both sides by x - 8
<em>Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)</em>