Answer:
The value of <em>c</em> is
.
Step-by-step explanation:
The perfect square of the difference between two numbers is:

The expression provided is:

The expression is a perfect square of the difference between two numbers.
One of the number is <em>x</em> and the other is √<em>c</em>.
Use the above relation to compute the value of <em>c</em> as follows:
![x^{2}-15x+c=(x-\sqrt{c})^{2}\\\\x^{2}-15x+c=x^{2}-2\cdot x\cdot\sqrt{c}+c\\\\15x=2\cdot x\cdot\sqrt{c}\\\\15=2\cdot\sqrt{c}\\\\\sqrt{c}=\frac{15}{2}\\\\c=[\frac{15}{2}]^{2}\\\\c=\frac{225}{4}](https://tex.z-dn.net/?f=x%5E%7B2%7D-15x%2Bc%3D%28x-%5Csqrt%7Bc%7D%29%5E%7B2%7D%5C%5C%5C%5Cx%5E%7B2%7D-15x%2Bc%3Dx%5E%7B2%7D-2%5Ccdot%20x%5Ccdot%5Csqrt%7Bc%7D%2Bc%5C%5C%5C%5C15x%3D2%5Ccdot%20x%5Ccdot%5Csqrt%7Bc%7D%5C%5C%5C%5C15%3D2%5Ccdot%5Csqrt%7Bc%7D%5C%5C%5C%5C%5Csqrt%7Bc%7D%3D%5Cfrac%7B15%7D%7B2%7D%5C%5C%5C%5Cc%3D%5B%5Cfrac%7B15%7D%7B2%7D%5D%5E%7B2%7D%5C%5C%5C%5Cc%3D%5Cfrac%7B225%7D%7B4%7D)
Thus, the value of <em>c</em> is
.
Answer:
The correct answer is a.
Step-by-step explanation:
The domain is the plotted points on the x-axis.
The range is the plotted points on the y-axis.
(-3, 3), (0, 0), (2, -2)
Domain {-3, 0, 2}; Range: {3, 0, -2}
Answer:
x-12/4
Step-by-step explanation:
hope its correct :-)
Answer:
y = -x + 1
Step-by-step explanation:
(-4,5) (1,0)
Find distance through a number line.
Distance(Slope):
(5,-5)
Slope form:
y/x, Apply:
-5/5
Reduce:
-1/1 or -1
To find the y-intercept get x to be at zero and see where y ends. Let's use the point (1,0):
(1,0) use slope -1x to get x to zero:
= (0,1)
y-intercept: (0,1)
Now write in slope-intercept form:
y = mx + b
so,
y = -1x + 1 or y = -x + 1 or y = -1/1x + 1