Help with this question please. Doesn't make sense at all.

Mathematics

1 answer:

snow_lady [41]2 years ago

7 0

Answer:

a. FG ≈ 6.983 cm

b. FH = 13.16 cm

Step-by-step explanation:

Corresponding sides of similar triangles are proportional. This means ...

FG/GH = CD/DE

FG = GH(CD/DE) = (9.4 cm)(2.6/3.5) . . . . . . multiply by GH; fill in values

FG ≈ 6.983 cm

And ...

FH/GH = CE/DE

FH = GH(CE/DE) = (9.4 cm)(4.9/3.5)

FH = 13.16 cm

<em>Additional comment</em>

Corresponding vertices are listed in the same order in the similarity statements. This means, for example, segment FG (which names the first two vertices in the name of ΔFGH) will correspond to segment CD (which names the first two vertices of ΔCDE).

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1. Try It #1

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Answer:

The slope of the line representing the linear function f(x) is determined as $-\frac{1}{2}$ . The function f(x) is decreasing because the slope is less than zero, i.e., m<0.

Step-by-step explanation:

A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).

It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.

Step 1 of 1

Determine the slope of the line.

The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So, substitute $4 \& 3$ for $y_{2}$ and $y_{1}$ respectively, and $0 \& 2$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{4-3}{0-2}$\\ $m=\frac{1}{-2}$\\ $m=-\frac{1}{2}$