The x-intercept is + 6 and the y-intercept is + 10
Answer:
0
Step-by-step explanation:
Jackson's method to figure out the height of the mountain is from the
similar triangles formed by the light using the mirror.
Response:
- The height of the mountain is <u>50 feet 8 inches</u>
<h3>Which methods can used to find the height of the mountain?</h3>
The given parameters are;
Distance of the mirror from Jackson = 5 feet
Distance of the mirror from the base of the mountain = 40 feet
Height of Jackson = 6'4'' tall
Required:
The approximate height of the mountain, <em>h</em>
Solution:
The triangles formed by the light from the top of the mountain which is
reflected to Jackson from the mirror, Jackson's height, the height of the
mountain, and their distances from the mirror, are similar triangles.
The ratio of corresponding sides of similar triangles are equal, therefore,
we have;
Which gives;
- The height of the mountain is approximately <u>50 feet 8 inches</u>
Learn more about similar triangles here:
brainly.com/question/23467926
Step-by-step explanation:
a.c=2πr
c=2x3.142x50
c=100x3.142
c=0.03142
b.c=2πr
286=2x31/7xr
286=62r/7
286x7=62r
2002=62r
2002/62=r
32.3=r
r=32.3
Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!
