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3 years ago

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Prove that there does not exist integers m and n such that 2m+4n=7

1 answer:

slamgirl [31]3 years ago

8 0

$2m+4n=7\iff m+2n=\dfrac72$

There is no choice of integers $(m,n)$ such that the left hand side is a rational number.

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Pls help this homework is due tomorrow and I’m so confused thank you for taking your Time x

olchik [2.2K]

Answer:

a) x= 75

b) 105 is the same angle as angle B, I subtracted 180 by 105

180-105= 75

4 0

3 years ago

What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base diameter of 6cm? Round to the nearest tenths pla

SVETLANKA909090 [29]

Answer:

It is about 537.2

Step-by-step explanation:

V= π · r^2 · h

V= π · 3^2 · 19

V≈ 537.2

6 0

3 years ago

Whats the roots of the following three problems:

klemol [59]

QUESTION 1

The given function is

$f(x)=\frac{(x-3)(x-1)}{(x-1)(x+2)}$

We simplify to get;

$f(x)=\frac{x-3}{x+2}$

This function is equal to zero when $x-3=0$

$\Rightarrow x=3$

QUESTION 2

The given function is

$f(x)=\frac{5x^2-10x+5}{2x^2-5x+3}$

$f(x)=\frac{5(x^2-2x+1)}{2x^2-5x+3}$

We factor to get;

$f(x)=\frac{5(x-1)^2}{(2x-3)(x-1)}$

$f(x)=\frac{5(x-1)}{(2x-3)}$

This function equals zero when

$5(x-1)=0$

$x=1$

QUESTION 3

The given function is

$f(x)=\frac{x^3-8}{x^2-6x+8}$

We factor to get,

$f(x)=\frac{(x-2)(x^2+2x+4)}{(x-2)(x+4)}$

$f(x)=\frac{x^2+2x+4}{x+4}$

The function equals zero when $x^2+2x+4=0$

$D=b^2-4ac$

$D=2^2-4(1)(4)$

$D=-12$

Hence the equation has no real roots.

The complex roots are

$x=-\sqrt{3}i-1$ or $x=-1+\sqrt{3}i$

4 0

3 years ago

What is the slope of each line? Line A: y = one-half x minus 4 Line B: y = 2 x minus 3 The slope of line A Equals one-half. The

Anestetic [448]

Answer:

The slope of line A equals one-half. The slope of line B equals 2.

Step-by-step explanation:

The equation of Line A is given by : $y = \frac{1}{2} x - 4$ ........... (1)

The equation of Line B is given by : y = 2x - 3 ............. (2)

Those two equations are in slope-intercept form i.e. y = mx + c, where m is the slope of the line.

Now, the slope of line A equals one-half. The slope of line B equals 2.

Therefore, option 1 will be correct. (Answer)

5 0

3 years ago

Read 2 more answers

The diameter of circle p below is 39.4 what is the approximate area of circle p???

Rufina [12.5K]

A= π r2
<span>r= 39.4/2=19.7
A= 19.7 x 19.7=388.09
A= pi x 388.09= </span>1218.6026<span>
A= 1218.6026

</span>

3 0

3 years ago