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andrezito [222]
3 years ago
12

PLZZ HELP!!!

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

A) For the y-intercept. The cost of the rental fee at 0hour is $100.

B)  The rate of the price of the hall with respect to the time is 66.7 dollars/hour

The y-intercept of the graph is the point where the line cuts the y axis. From the graph, we can see that the line cuts the y-axis at y = 100

This means that the cost of rental fee at 0 hour is $100.

To get the slope of the graph, we will use the coordinate point (0,100) and (3,300)

Slope =\frac{300-100}{3-0}\\Slope = \frac{200}{3}\\Slope =   66.7

This shows that the rate of price of the hall with respect to the time is 66.7 dollars/hour

Learn more here: brainly.com/question/16949303

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X= 130°

Step-by-step explanation:

From E, draw EF || AB || CD.

Now, EF || CD and CE is the transversal.

So; <DCE + <CEF = 180° [co. int. <s]

x° + <CEF = 180°

<CEF = (180° – x°).

Again, EF || AB and AE is the transversal.

So; <BAE + <AEF = 180° 01 [co. int. <s ]

105° + <AEC+ <CEF = 180°

105° +25° + (180° – x°) = 180°

x° = 130°

I hope I helped you^_^

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hjlf

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taurus [48]

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Please show working out thanks
IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

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