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wariber [46]
3 years ago
8

Write the following expression as a trinomial in standard form. 3(x+3)2 – 2(x + 3) +4

Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

Answer:

4(x+4)

Step-by-step explanation:

multiply the numbers

3(x+3)×2 - 2(x+3) +4

collect like terms

6(x+3) - 2(x+3) +4

Factor the expression

4(x+3)+4

Add the numbers

4x + 12 +4

=

4x + 16

or

4(x+4)

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PLEASE HELP :) LOTS OF POINTS + BRAINLY
pogonyaev

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;

\dfrac{Jackson's \ height}{Jackson's \ distance \ from \ the \ mirror } =\mathbf{ \dfrac{Height \ of \ the \ mountain}{Distance \ of \ the \ mountain \ from \ the \ mirror}}

Which gives;

\dfrac{6\frac{1}{3} \, ft.}{5 \, ft.} = \mathbf{ \dfrac{h}{40 \, ft.}}

h = 480 \, in. \times \dfrac{76 \, in.}{60 \, in.} = 608 \, in. = \mathbf{50 \frac{2}{3} \, ft. = 50 \, feet \ 8 \, inches}

  • The height of the mountain is approximately <u>50 feet 8 inches</u>

Learn more about similar triangles here:

brainly.com/question/23467926

4 0
1 year ago
The table below represents a linear function f(x) and the equation represents a function g (x)
PolarNik [594]

Answer:

Step-by-step explanation:

a). For function 'f',

Slope of a linear function passing through two points (x_1,y_1) and (x_2,y_2) is given by,

Slope = \frac{y_2-y_1}{x_2-x_1}

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 = \frac{-5+1}{-1-0}

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Equation of the line passing through a point (0, -1) and slope = 4 will be,

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y + 1 = 4(x - 0)

y = 4x - 1

f(x) = 4x - 1

For function 'g',

Equation of the function 'g' has been given as,

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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.

4 0
2 years ago
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