Geometry: Solve for X
2 answers:
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Answer:
A: -4
B: 4
C: m(x)<h(x) for every x, t.e m(x)>h(x) cann’t be treu for any value of x.
Step-by-step explanation:
I’m not sure what is fubction m. I will suppose it is linear function.
For example m(x)=x/2-2.
Part A: h(4)-m(16)=1/2(4-2)^2 - 16/2-2=2-6=-4
Part B: y-intersection on h(x), we find how is h(0). So h(0)=1/2(0-2)^2=2.
For m(x), m(0)=0/2-2=-2. So their y-intersections are fare away 4. (See photo)
Part C: First we chak if there any intersection between h and m.
1/2(x-2)^2=x/2-2, si we have
x^2-4x+4-x+4=0
X^2-5x+8=0,
D=5^2-4*8=25-32<0, so m and h don’t have intersection, and from graph we can see that for every value of x, m(x) will always be less than h(x).
Photo: blue is h(x), green is m(x)
The length of the mirror is 64.52 cm
<u>Explanation:</u>
Given:
Distance of the person from the mirror = 145cm
Angle of depression = 14°
Angle of elevation = 11°
Vertical dimension of the mirror = ?
For angle of elevation:
For the angle of depression:
Total length of the mirror, AC = AB + BC
= 28.275 + 36.25cm
= 64.52 cm
Therefore, the length of the mirror is 64.52 cm
The answer is x^2-8x+8 in descending order
The graph would look like the picture below
The graph would look like the picture below