2(3x+4y) = 2(24)
6x+8y = 48
Add both the equations
6x + 8y = 48
+ x - 8y = -20
—————————
7x = 28
x = 28/7
x = 4
Plug in this value in the second equation
(4) - 8y = -20
-8y = -24
y = -24/-8
y = 3
Therefore:
x = 4
y = 3
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
The inverse function should be 1/2x - 2
Explanation:
The inverse of something is just it's opposite. The opposite of squaring is dividing in half, so we get 1/2x. Obviously the opposite of addition is subtraction so our answer is 1/2x - 2
I hope this helps!
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>