Let x = the smaller numberLet 3x + 15 = the larger numberx + 3x + 15 = 634x = 48x = 123(12) + 15 = 51
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Answer:
Your answer would be 3 miles.
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Explanation and work:
To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.
The equation we would use in this type of question is the Pythagorean Theorem.
Pythagorean Theorem:
a² + b² = c²
When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.
Lets start solving:
1.8 would be plugged into "a"
2.4 will be plugged into "b"
(1.8)² + (2.4)² = c²
↓ ↓ ↓
3.24 + 5.76 = c²
↓
9 = c²
↓
√9 = √c²
↓
3 = c
3 miles would be your FINAL answer.
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Answer:
30
Step-by-step explanation:
because if x is 5 then 6(5)
and 6x5=30
Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|
Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5
Required answer is f(x) = one fourth (x - 3)^2 + 5
