Answer:
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Step-by-step explanation:
Answer:
Proportion states that the two fractions or ratios are equal.
Given the statement: A 36-foot-tall tree casts a 9-foot shadow.
To find the height of the nearby tree that cast a 14 foot shadow at the same time.
Let x be the height of the nearby tree.
By definition of proportion;
Substitute the given values we get;
Simplify:
Multiply both sides by 14 we get;
foot.
therefore, the height of the nearby tree is, 56 foot.
Answer:
y = -3/(x-4) - 2
Step-by-step explanation:
3*y(x) vertically stretches <em>y</em> by a factor 3
-y(x) reflects <em>y</em> over x-axis
y(x-4) translates <em>y</em> 4 units to the right
y(x) - 2 translates <em>y</em> 2 units down
Applied the transformations we get:
y(x) = 1/x → 3/x → -3/x → -3/(x-4) → -3/(x-4) - 2
Answer:
One piece of pizza = $2.5
One candy bar = $1
Step-by-step explanation:
Call 1 pizza a, 1 candy bar b. We have:
2a + 3b = $8
=> 3(2a+3b) = 3. $8
= 6a + 9b = $24
and
6a + 5b = $20
=> (6a + 9b) - (6a + 5b) = 9b - 5b = 4b = $24 - $20 = $4
=> b = $1
=> 2a + $3 = $8
=> 2a = $5
=> a = $2.5
So one piece of pizza = $2.5, one candy bar = $1
