Given the same triangle from part C, if line segment AB measures 12 inches and line segment BC measures 5 inches what is the mea
sure of line segment BD? Show and explain your work.
1 answer:
Answer:
4.615 in
Step-by-step explanation:
Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.
In triangle ABC, using Pythagoras theorem:
AC² = AB² + BC²
AC² = 12² + 5²
AC² = 144 + 25 = 169
AC² = 169
AC = √169 = 13 in
Using similar triangle for ΔABC and ΔABD:
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Answer:
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x - y = 4
We can write this as a linear equation in the slope-intercept form if we isolate the variable y.
We get:
y = x - 4
Now to graph this function, we need to evaluate x in two different points and get two points (x, y) of the line.
If we use x = 1 and x = 2, then we get:
y(1) = 1 - 4 = - 3
Then we have the point (1, -3)
and:
y(2) = 2 - 4 = - 2
Then we have the point (2, - 4)
Now we need to draw these two points in the coordinate axis, and draw a line that connects the points, the example can be seen in the image below.
a) To use the graph, we need to locate the value x= 7 in the x-axis.
Then draw a vertical line
In the point where the vertical line intersects the graph, we draw an horizontal line.
The y-value will be the value at which this horizontal line intersects the y-axis
In this case, is at y = 3.
Then when x = 7, y = 3.
(you can see it in the graph)
ii) The coordinate at which the graph intersects the x-axis can be seen in the graph, it is the point (0, 4)
Answer:
The function was expanded vertically by 5, and then translated vertically upwards 6 units.
Which is the third option in the list of possible answers.
Step-by-step explanation:
Recall that the types of transformations associated with:
A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;
B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.
Therefore, the function being transformed into
consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.