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Tju [1.3M]
3 years ago
7

Diagram 7 shows a trapezium ABCD. The straight lines AB and CD are parallel.Find

Mathematics
1 answer:
Tanya [424]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

(a)

Since lines AB and CD are parallel then their slopes are equal

y = - \frac{1}{2} x + 14 is in slope- intercept form ( y = mx + c )

with slope m = - \frac{1}{2}

Hence slope of CD = - \frac{1}{2}

D is the point (0, 7) ⇒ c = 7

y = - \frac{1}{2} x + 7 ← equation of CD

(b)

to find the x- intercept let y = 0, in the equation and solve for x

- \frac{1}{2} x + 7 = 0 ( multiply through by 2 )

- x + 14 = 0 ⇒ - x = - 14 ⇒ x = 14 ← x- intercept of CD


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Answer:

  A. b(w) = 80w +30

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Step-by-step explanation:

<h3>Part A:</h3>

For f(s) = 2s +30, and s(w) = 40w, the composite function f(s(w)) is ...

  b(w) = f(s(w)) = 2(40w) +30

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<h3>Part B:</h3>

The input units of f(s) are <em>seeds</em>. The output units are <em>flowers</em>.

The input units of s(w) are <em>weeks</em>. The output units are <em>seeds</em>.

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<h3>Part C:</h3>

For 35 weeks, the number of flowers that bloomed is ...

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