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3 years ago

Can someone please help me Find EF

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

6 0

Answer:

Step-by-step explanation:

Remark

The relationship that solves this is

The outside segment * the whole length of the secant = the outside segment of the other secant * the whole length of the second secant.

Put in symbolic (and hence easier language)

GF * EG = HG * SG

Givens

GF = 4

EG = 2x + 4

GH = 5

SG = x + 5

Equation

4*(2x + 4) = 5*(x + 5) Remove the brackets

8x + 16 = 5x + 25 Subtract 5x from both sides

8x - 5x + 16 = 25 Combine

3x + 16 = 25 Subtract 16 from both sides

3x = 25 - 16

3x = 9 Divide by 3

3x/3 = 9/3

x = 3

EF = 2 * 3

EF = 6

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.

dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

$\large{f(x) = x}$

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

$\large{f(x + k) = x + k }\\ \large{g(x) = x + k}$

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

$\large{g(x) = x + 4}$

Answer

g(x) = x+4
Therefore the value of k is 4.

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3 years ago