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damaskus [11]
2 years ago
14

PLEASE HELP IM SO STUCK

Mathematics
2 answers:
Gala2k [10]2 years ago
6 0

Answer:

(-4,0) , (0,9)

Step-by-step explanation:

x-intercept is the point where the line touches the x-axis, which means, y = 0.

So when y = 0,

-9x + 4(0) = 36

-9x = 36

x = \frac{36}{-9}

x = -4

Therefore, the coordinates of the x - intercept is (-4,0)

y-intercept is the point where the line touches the y-axis, which means , x = 0.

so when x = 0,

-9(0) + 4y = 36

4y = 36

y = \frac{36}{4}

y = 9

Therefore, the coordinates of the y - intercept is (0,9)

jonny [76]2 years ago
5 0

Answer:

x - intercept (-4,0)

y -intercept (0,9)

Step-by-step explanation:

Put in 0 for x.

-9(0) + 4y = 36

4y = 36  Divide both sides by 4

y = 9

(0,9) This is where the line will cross the y axis.

Put in 0 for y

-9y + 4(0) = 36

-9y = 36 Divide both sides by -9

Y = -4

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a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Step-by-step explanation:

Let the price of 1 sq.m. of fence panel be x

Let the price of 1 m of wooden frame be y

In Fig 1

Length = 4 m

Breadth = 3 m

Area =Length \times breadth = 4 \times 3 = 12 sq.m.

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(4+3)=14 m

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Cost of 14 m of wooden frame = 14y

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In Fig 2

Length = 6 m

Breadth = 2 m

Area =Length \times breadth = 6 \times 2 = 12 sq.m.

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(6+2)=16 m

Cost of 1 m of wooden frame = y

Cost of 16 m of wooden frame = 16y

We are given that total cost of framing and fencing is 40

So. 12x+16y=40---2

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12x+16=40

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x=2

So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1

In fig 3

To verify :

Length = 3 m

Breadth = 5 m

Area = Length \times breadth = 3 \times 5 = 15 sq.m.

Cost of 1 sq.m. = 2

Cost of 12 sq.m. =15 \times 2 = 30

Perimeter =2(l+b)=2(3+5)=16 m

Cost of 1 m of wooden frame = 1

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So, Total cost = 30+16=46

We are given that cost of fencing and framing is 46

Thus verified

Hence

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

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