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2 years ago

Is y= -4x proportional or non- proportional

Mathematics

1 answer:

salantis [7]2 years ago

5 0

9514 404 393

Answer:

proportional

Step-by-step explanation:

The equation ...

y = kx

expresses a proportional relationship for any constant of proportionality k.

Your equation with k = -4 expresses a proportional relationship.

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Solve this problem y=(x-3)^2 when x=9

atroni [7]

Y=36

it basically says y=(9-3)^2
which is y=6^2
which is then y=36

3 0

3 years ago

find the area of the trapezium whose parallel sides are 25 cm and 13 cm The Other sides of a Trapezium are 15 cm and 15 CM

Snezhnost [94]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - A trapezium ABCD with non parallel sides of measure 15 cm each ! along , the parallel sides are of measure 13 cm and 25 cm

To find - Area of trapezium

Refer the figure attached ~

In the given figure ,

AB = 25 cm

BC = AD = 15 cm

CD = 13 cm

Construction -

$draw \: CE \: \parallel \: AD \: \\ and \: CD \: \perp \: AE$

Now , we can clearly see that AECD is a parallelogram !

$\therefore$ AE = CD = 13 cm

Now ,

$AB = AE + BE \\\implies \: BE =AB - AE \\ \implies \: BE = 25 - 13 \\ \implies \: BE = 12 \: cm$

Now , In ∆ BCE ,

$semi \: perimeter \: (s) = \frac{15 + 15 + 12}{2} \\ \\ \implies \: s = \frac{42}{2} = 21 \: cm$

Now , by Heron's formula

$area \: of \: \triangle \: BCE = \sqrt{s(s - a)(s - b)(s - c)} \\ \implies \sqrt{21(21 - 15)(21 - 15)(21 - 12)} \\ \implies \: 21 \times 6 \times 6 \times 9 \\ \implies \: 12 \sqrt{21} \: cm {}^{2}$

Also ,

$area \: of \: \triangle \: = \frac{1}{2} \times base \times height \\ \\\implies 18 \sqrt{21} = \: \frac{1}{\cancel2} \times \cancel12 \times height \\ \\ \implies \: 18 \sqrt{21} = 6 \times height \\ \\ \implies \: height = \frac{\cancel{18} \sqrt{21} }{ \cancel 6} \\ \\ \implies \: height = 3 \sqrt{21} \: cm {}^{2}$

Since we've obtained the height now , we can easily find out the area of trapezium !

$Area \: of \: trapezium = \frac{1}{2} \times(sum \: of \:parallel \: sides) \times height \\ \\ \implies \: \frac{1}{2} \times (25 + 13) \times 3 \sqrt{21} \\ \\ \implies \: \frac{1}{\cancel2} \times \cancel{38 }\times 3 \sqrt{21} \\ \\ \implies \: 19 \times 3 \sqrt{21} \: cm {}^{2} \\ \\ \implies \: 57 \sqrt{21} \: cm {}^{2}$

hope helpful :D

6 0

1 year ago

I need this urgently!! I need by 7:15!!

Sati [7]

The question is telling you that the length of the rectangle is 3 metres more than twice the width.

So let:

w= width

L= length

Because the length is 3 metres more than twice the width: L= 2w+3

They also tell you the perimeter is 48 metres.

P= L+L+w+w

So the equation of the perimeter is:

48= (2w+3)+(2w+3)+2w +2w

48= 2(2w+3) + 4w

To find w, expand and simplify.

48= 4w+6+4w

48= 8w + 6

42= 8w

5.25=w

Now that you know the width, plug in the value into the length equation:

L= 2w+3

L=2(5.25)+3

L=10.50+3

L=13.5

If I am wrong let me know! I hope this helps.

6 0

3 years ago

The scale on a map is 1 in/50miles. Use this scale to determine the distance between two towns that are 3.25 inches apart. *

Alex787 [66]

Answer:

you are from the school pinecrest glades arent you?? >:(

Step-by-step explanation:

8 0

2 years ago

Pls help due ASAP Show workings please!!!

Vlad [161]

Answer:

AB=8

Step-by-step explanation:

First, you get figure out x. Since both sides are equal, use the equation x+3=2x-2, then subtract x from both sides, 3=x-2, and then add 2 to both sides, x=5. Then use one of the equations to get the length of the side, I used x+3=8, which is your answer.

(hope this helps :P)

5 0

3 years ago