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3 years ago

Y = -x What is is the constant of proportionality

Mathematics

1 answer:

Stels [109]3 years ago

4 0

Hey!

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-x = -1

This statement shows that y equals -1. Since it doesn't show a table or word problem then we already know that the constant of proportionality is -1. Or if you just have the expression just divide the number by 1. -x/1 = -1!

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Thus, -1 is the constant of proportionality!

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Hope This Helped! Good Luck!

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topjm [15]

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3 years ago

Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a r

slamgirl [31]

Will ran the longest

He ran for 56.57 yards, 13.56 yards longer than James.

Step-by-step explanation:

Step 1 :

Will ran the diagonal across a square field measuring 40 yards in each side.

The diagonal of a square can be obtained by the square root of the sum of the squares of its 2 sides [Because it forms the hypotenuse of a right angle triangle]

Hence when the side is 40 yards , the diagonal would be

$\sqrt{40^{2} + 40^{2}} = \sqrt{1600 + 1600} = \sqrt{3200} =56.57 yards$

So Will ran for 56.57 yards

Step 2 :

James ran the diagonal of a rectangular field with 25 yards length and 35 yards width.

The diagonal of the rectangle can be obtained by the square root of the sum of squares of its length and width.

Hence when the length is 25 yards and width is 35 , the diagonal would be

$\sqrt{35^{2} + 25^{2}} = \sqrt{1225 + 625}} = \sqrt{1850} = 43.01$ yards

So James ran for 43.01 yards

Step 3 :

Will ran for 56.57 yards and 43.01 yards.

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5 0

3 years ago

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

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3 years ago

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mel-nik [20]

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7 0

2 years ago

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alex41 [277]

Answer:

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Step-by-step explanation:

Given : A geometric sequence : 18, 12, 8, 16/3,…

Solution :

Each term is found by multiplying the previous term by a constant in a Geometric Sequence .

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$r = \frac{a_{n} }{a_{n-1} }$

for n = 2

$r = \frac{a_{2} }{a_{1} }$

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⇒ $r = \frac{2 }{3 }$

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⇒ $r = \frac{8 }{12 }$

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⇒ $r = \frac{2}{3 }$

Thus the common ratio 'r' = 2/3

6 0

3 years ago

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