Can someone also help me with this other diagram problem?
1 answer:
Answer: the length of the other side is 16.5 units.
Step-by-step explanation:
The rectangle has 2 equal and parallel sides. Each of the 4 angles in a rectangle is 90°. This means that the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.
To determine the length of the other side, x, we would apply Pythagoras theorem. It is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
17² = x² + 4²
289 = x² + 16
x² = 289 - 16 = 273
x = √273
x = 16.5 units
You might be interested in
The graph of y = 2(x - 3)² + 2 can be seen in the attached picture. This problem can be solved through the concept of parabola and transformation.
<h3>Further explanation</h3><u>The Problem:</u>
Which is the graph of y = 2(x - 3)² + 2?
<u>Question-1:</u>
How to make a graph y = 2 (x - 3) ² + 2 through the concept of a parabola.
<u>The Process:</u>
The equation of a parabola is given by .
Keep in mind the following points:
- vertex point at (h, k)
- axis of symmetry at x = h
- a > 0 the parabola opens upward
- a < 0 the parabola opens downward
- the y-intercept is
at x = 0.
From our case it can be concluded as follows:
- the graph of y = 2(x - 3)² + 2 opens upward
- vertex point at (3, 2)
- axis of symmetry at x = 3
- the y-intercept is 2(3²) + 2 = 20 or in coordinates of (0, 20)
<u>Question-2:</u>
How to make the graph of y = 2(x - 3)² + 2 through the transformation.
<u>The Process:</u>
To plot the graph of y = 2(x - 3) ² + 2 we apply for the following transformation order:
Step-1: clearly, to obtain the graph of y = (x - 3)² we shift the graph of y = x² to the right 3 units.
Step-2: to obtain the graph of y = 2(x - 3)², we stretch the graph of y = (x - 3)² by a factor of 2 (in other words, multiply each y-coordinate by 2).
Step-3: finally, to obtain the graph of y = 2(x - 3)² + 2 we shift the graph of y = 2(x - 3)² upward 3 units.
Thus the construction of the graph y = 2 (x - 3) ² + 2 is completed.
The graph of y = 2(x - 3) ² + 2 is drawn by the combination of shifting the graph of y = x² to the right 3 units and upward 2 units, and also stretch by a factor of 2. Between vertical shift and stretch steps, it is the same whatever steps are taken first.
- - - - - - - - - -
Notes
- The transformation of graphs is changing the shape and location of a graph.
- There are four types of transformation geometry: translation (or shifting), reflection, rotation, and dilation (or stretching/shrinking).
- In this case, the transformation is shifting horizontally and vertically and also stretching vertically.
In general, given the graph of y = f(x) and v > 0, we obtain the graph of:
by shifting the graph of
upward v units.
by shifting the graph of
That's the vertical shift, now the horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:
by shifting the graph of
by shifting the graph of
Hence, the combination of vertical and horizontal shifts is as follows:
The plus or minus sign follows the direction of the shift, i.e., up-down or left-right .
Notice the following definitions for stretch and shrink.
- In general, given the graph of
, we obtain the graph of
by stretching
or shrinking
the graph of
- In general, given the graph of
by stretching
- What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)? brainly.com/question/1332667
- Transformations that change the graph of (f)x to the graph of g(x) brainly.com/question/2415963
- Which statement correctly describes the graph brainly.com/question/10929552
