Answer:
-2
Step-by-step explanation:
slope: (y² - y¹) / (x² - x¹)
(-1 - 1) / (1 - 0) = -2 / 1 = -2
y = -2x + b
plug in an (x, y) value to find b
1 = -2(0) + b
1 = -2 + b
b = 3
y = -2x + 3
rate of change is -2
Reflexive pretty much means something relating to itself. The reflexive property of equality simply states that a value is equal to itself. Further, this property states that for all real numbers, so your answer will be (A) x = x.
Given equation is
It can be written as follows.
Which is of the form
where a=3 and b=4.
We know that the coordinates of the vertices are (a,0) and (-a,0)
Substitute a=3, we get
The vertices are (3,0) and (-3,0).
We know that the coordinates of the foci are (c,0) and (-c,0)
![c=\sqrt[]{a^2+b^2}](https://tex.z-dn.net/?f=c%3D%5Csqrt%5B%5D%7Ba%5E2%2Bb%5E2%7D)
Substitute a=3 and b=4, we get
![c=\sqrt[]{3^2+4^2}=\sqrt[]{9+16}=\sqrt[]{25}=5](https://tex.z-dn.net/?f=c%3D%5Csqrt%5B%5D%7B3%5E2%2B4%5E2%7D%3D%5Csqrt%5B%5D%7B9%2B16%7D%3D%5Csqrt%5B%5D%7B25%7D%3D5)
Substitute c=5, we get
Hence the foci are (5,0) and (-5,0).
Answer:
Step-by-step explanation:
Answer:
<u>Infotron should produce each day 13 hockey and 6 soccer games</u>
Step-by-step explanation:
x = Number of hockey games Infotron should produce
y = Number of soccer games Infotron should produce
Number of labor-hours for assembly = 2x + 3y
Number of labor-hours for testing = 2x + y
Now we can write our equations system, this way:
2x + 3y = 44
2x + y = 32
*********************
Expressing y in terms of x in the 2nd equation:
2x + y = 32
y = 32 - 2x
********************
Substituting y and solving for x in the 1st equation:
2x + 3y = 44
2x + 3 * ( 32 - 2x) = 44
2x + 96 - 6x = 44
-4x = 44 - 96
-4x = - 52
x = -52/-4
x = 13
*****************
Solving for y in the 2nd equation:
2x + y = 32
2 * 13 + y = 32
26 + y = 32
y = 32 - 26
y =<u> 6</u>
<u>Infotron should produce each day 13 hockey and 6 soccer games</u>
