Write the following expression as a trinomial in standard form. 3(x+3)2 – 2(x + 3) +4
1 answer:
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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>
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:
Answer:
Step-by-step explanation:
a). For function 'f',
Slope of a linear function passing through two points and
is given by,
Slope =
For the function 'f' given in the table,
Slope of the linear function passing through two points (-1, -5) and (0, -1) given in the table,
Slope =
= 4
Equation of the line passing through a point (0, -1) and slope = 4 will be,
y - y' = m(x - x')
y + 1 = 4(x - 0)
y = 4x - 1
f(x) = 4x - 1
For function 'g',
Equation of the function 'g' has been given as,
g(x) = 4x + 3
By comparing this equation with the slope-intercept equation of a line,
y = mx + b
Therefore, slope of the function 'g' is,
m = 4
Since slopes of both the functions are same, linear graphs of both the functions will be parallel.
b). Equation of the function 'f' is,
f(x) = 4x - 1
y-intercept of the function = -1
Equation of function 'g',
g(x) = 4x + 3
y-intercept = 3
Therefore, function 'g' will have the greater y-intercept.