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salantis [7]
3 years ago
12

The map below shows the length of a proposed land bridge at Phil Hardberger Park. The length of the land bridge is represented b

y PH
in the map below.
P(2,55)
H(32, 15)
On the map, each unit represents 1 yard. To the nearest yard, what is the actual length of the land bridge from P to H?
A 50 yards
B. 150 yards
C. 78 yards
D. 234 yards
Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

<h3>A. 50 yards.</h3>

Step-by-step explanation:

Given the coordinates of the length of PH as P(2,55)  and H(32, 15), to get the actual length of the land bridge from P to H, we will use the formula for calculating the distance between two points.

D = √(x₂-x₁)²+(y₂-y₁)²

PH = √(32-2)²+(15-55)²

PH = √(30)²+(-40)²

PH = √900+1600

PH = √2,500

PH = 50

Hence the actual length of the land bridge from P to H to the nearest yard is 50 yards.

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y=4x-13

Step-by-step explanation:

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Rearrange the equation so w is the independent variable.<br> u-5=-4(w-1)
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9.
Hitman42 [59]

the answer is 4.5 ft

Step-by-step explanation:

Step-by-step explanation:

Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,

18/x = 8/2

Let's solve for x as required.

We have,

18/x = 8/2

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18 × 2 = 8 × x

36 = 8x

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Recall the definition of the composition between two functions:

(f\circ g)(x)=f(g(x))

Similarly, but not always the same:

(g\circ f)(x)=g(f(x))

Use the rules of correspondence of the functions f and g to find the compositions:

\begin{gathered} f(x)=6x-10 \\ g(x)=8-4x \end{gathered}

Then:

\begin{gathered} (f\circ g)(x)=f(g(x)) \\ =6\cdot g(x)-10 \\ =6(8-4x)-10 \\ =6\cdot8-6\cdot4x-10 \\ =48-24x-10 \\ =-24x+38 \\  \\ \therefore(f\circ g)(x)=-24x+38 \end{gathered}

On the other hand:

\begin{gathered} (g\circ f)(x)=g(f(x)) \\ =8-4\cdot f(x) \\ =8-4(6x-10) \\ =8-4\cdot6x-4\cdot-10 \\ =8-24x+40 \\ =-24x+48 \\  \\ \therefore(g\circ f)(x)=-24x+48 \end{gathered}

Therefore, the answers are:

\begin{gathered} (f\circ g)(x)=-24x+38 \\ (g\circ f)(x)=-24x+48 \end{gathered}

8 0
1 year ago
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