Answer:
55.36 m
Step-by-step explanation:
The Pythagorean theorem relates the side lengths of a right triangle. For legs 'a' and 'b', and hypotenuse 'c', it tells you ...
c² = a² +b²
__
For this figure, that means ...
?² = 19² +52² = 361 +2704 = 3065
? = √3065 ≈ 55.36 . . . . meters
The missing side length is about 55.36 meters.
Answer:
x-intercept(s): (
−
8
,
0
)
y-intercept(s): (
0
,
2
)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y.
<h2>
Hello!</h2>
The answers are:
B. 
C. 
<h2>Why?</h2>
We can use the quadratic equation to find the two values of x that are roots of the given equation. We must remember that most of the quadratic equations have two roots, however, we could find quadratic equations with just one root or even with no roots, at least in the real numbers.
Quadratic equation:

So,
From the given equation we have:

Substituting it into the quadratic equation to find the roots, we have:

So,

Hence, the correct options are B and C.
Answer:
The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing
and
is represented as being shifted 6 units to the right as compare to the function
.
Step-by-step explanation:
When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.
For example:
Type of change Effect on y = f(x)
horizontal shift: c units to right
So
Considering the function

The graph is shown below. The first figure is representing
.
Now, considering the function

According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.
The graph of
is shown below in second figure. It is clear that the graph of
is shifted 6 units to the right as compare to the function
.
The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing
and
is represented as being shifted 6 units to the right as compare to the function
.
There are a lot of numbers that fall into that category...
Lets call your number x, then 400 < x < 312
That means x can be any number in between 400 and 312. But, x cannot be 400 or 312
x can be a total of 87 numbers which are listed here:
<span>
<span><span>
313,
</span>
<span>
314,
</span>
<span>
315,
</span>
<span>
316,
</span>
<span>
317,
</span>
<span>
318,
</span>
<span>
319,
</span>
<span>
320,
</span>
<span>
321,
</span>
<span>
322,
</span>
<span>
323,
</span>
<span>
324,
</span>
<span>
325,
</span>
<span>
326,
</span>
<span>
327,
</span>
<span>
328,
</span>
<span>
329, </span><span>330,
</span>
<span>
331,
</span>
<span>
332,
</span>
<span>
333,
</span>
<span>
334,
</span>
<span>
335,
</span>
<span>
336,
</span>
<span>
337,
</span>
<span>
338,
</span>
<span>
339,
</span>
<span>
340,
</span>
<span>
341,
</span>
<span>
342,
</span>
<span>
343,
</span>
<span>
344,
</span>
<span>
345,
</span>
<span>
346, </span><span>347,
</span>
<span>
348,
</span>
<span>
349,
</span>
<span>
350,
</span>
<span>
351,
</span>
<span>
352,
</span>
<span>
353,
</span>
<span>
354,
</span>
<span>
355,
</span>
<span>
356,
</span>
<span>
357,
</span>
<span>
358,
</span>
<span>
359,
</span>
<span>
360,
</span>
<span>
361,
</span>
<span>
362,
</span>
<span>
363,
</span>
<span>
364,
</span>
<span>
365, </span><span>366,
</span>
<span>
367,
</span>
<span>
368,
</span>
<span>
369,
</span>
<span>
370,
</span>
<span>
371,
</span>
<span>
372,
</span>
<span>
373,
</span>
<span>
374,
</span>
<span>
375,
</span>
<span>
376,
</span>
<span>
377,
</span>
<span>
378,
</span>
<span>
379, </span><span>380, </span><span>381,
</span>
<span>
382,
</span>
<span>
383,
</span>
<span>
384,
</span>
<span>
385,
</span>
<span>
386,
</span>
<span>
387,
</span>
<span>
388,
</span>
<span>
389,
</span>
<span>
390,
</span>
<span>
391,
</span>
<span>
392,
</span>
<span>
393,
</span>
<span>
394,
</span>
<span>
395,
</span>
<span>
396,
</span>
<span>
397,
</span>
<span>
398, and
</span>
<span>
399.
</span>
</span></span>