Brayden and Aubrey are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Brayde
n is 280 miles away from the stadium and Aubrey is 340 miles away from the stadium. Brayden is driving along the highway at a speed of 30 miles per hour and Aubrey is driving at speed of 40 miles per hour. Let
B
B represent Brayden's distance, in miles, away from the stadium
t
t hours after noon. Let
A
A represent Aubrey's distance, in miles, away from the stadium
t
t hours after noon. Graph each function and determine the number hours after noon,
t
,
t, when Brayden and Aubrey are the same distance from the stadium.
B
B represent Brayden's distance, in miles, away from the stadium
t
t hours after noon. Let
A
A represent Aubrey's distance, in miles, away from the stadium
t
t hours after noon. Graph each function and determine the number hours after noon,
t
,
t, when Brayden and Aubrey are the same distance from the stadium.
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Answer:
Step-by-step explanation:
Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form
Because the parameter is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.
Replacing the parameter value, we have
Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is .
Given:
Triangles FRI and DAY are similar.
To find:
Similarity ratio
Solution:
<em>If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.</em>
Here, FR and DA are corresponding sides.
Cancel the common factors of 4 and 6, we get
⇒ FR : DA = 2 : 3
⇒ ΔFRI : ΔDAY = 2 : 3
Similarity ratio of the first triangle to the second triangle is 2 : 3.