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2 years ago

X+2y+1=0,2x-3y-12=0 solve by substitution method

Mathematics

1 answer:

Kitty [74]2 years ago

3 0

Answer:

Step-by-step explanation:

x=-1-2y

-2-4y-3y-12=0

-7y=14

y=-2

x=3

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

(b) A square has a perimeter of 12 yd. What is the length of each side?

Maru [420]

Answer:3

explation:square have 4 side

perimetter of square=4l

so, 12/4=3

7 0

3 years ago

There is 1in. of water in a pool. The water level is increasing at 0.75in./min. Which linear equation represents the total depth

mixas84 [53]

Answer:

b i believe

Step-by-step explanation:

because you would multiply the speed over time the add what you started with

8 0

3 years ago

Read 2 more answers

Part A

denis-greek [22]

Answer:

252/193

Step-by-step explanation:

According to the question

volume=36cm^3

Radius=3cm

Now

h= v/πr^2

=36/π*3^2

=36*7/193

=252/193cm

7 0

1 year ago

What is the value of n?<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2n-7%7D%7B3%7D%20%3D15" id="TexFormula1" title=" \fra

kirill [66]

$\frac{2n-7}{3}$ = 15

2n - 7 × 1 = 15 × 3

2n - 7 = 45

2n = 45 + 7

2n = 52

n = 26

Have a nice days.........

5 0

2 years ago

X+2y+1=0,2x-3y-12=0 solve by substitution method​

X+2y+1=0,2x-3y-12=0 solve by substitution method