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1 answer:
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Answer:
Explanation:
From the tape diagram, we can deduce the following;
*Total number of items = 87
*Number of subdivisions = 5 with one of them being a group of 39
Let's see which of the given stories that the tape diagram can represent;
A) Total number of first graders = 87
Students picked up = 39
Number of groups the remaining students were divided into = 4
We can see from the above that the tape diagram can represent this story
B) Number of children at the show = 87
Number of adults at the show = 39
Total number of people at the show = 87 + 39 = 126
We can see from the above that the tape diagram can not represent this story
C) Number of packs of pencils Lin bought = 87
Number of packs she gave to her teacher = 39
She then shared the remaining packs between herself and 3 friends
We can see from the above that the tape diagram can represent this story
D) Total amount Diego's family spent to a fair = $87
Amount spent on dinner = $39
They spent the remaining spent on 4 tickets
We can see from the above that the tape diagram can represent this story
E) Number of packs of paper clips Adre bought = 4
Number of paper clips in each = 39
Total number of paper clips bought = 39 x 4 = 156
We can see from the above that the tape diagram can not represent this story
Answer:
(y - 4)² = 12(x - 5)
Step-by-step explanation:
the vertex and focus lie on the principal axis y = 4
The focus is inside the parabola to the right of the vertex
This is therefore a horizontally opening parabola
with equation
(y - k)² = 4p(x - h)
where (h, k) are the coordinates of the vertex and p is the distance from the vertex to the focus/ directrix
here p = 8 - 5 = 3
The directrix is vertical and to the left of the vertex with equation x = 2
From any point (x, y) on the parabola the focus and directrix are equidistant
using the distance formula, then
= | x - 2 |
squaring both sides
(x - 8)² + (y - 4)² = (x - 2)²
(y - 4)² = (x - 2)² - (x - 8)² = x² - 4x + 4 - x² + 16x - 64 = 12x - 60
(y - 4)² = 12(x - 5) ← equation of parabola