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3 years ago

Which equation Can pair with x-y=-2 to create a consistent and dependent system

Mathematics

2 answers:

harina [27]3 years ago

5 0

Given linear equation in standard form x-y=-2.

Let us convert it in slope-intercept form first.

x-y =-2.

Subtracting x from both sides

x-x-y = -2-x

-y = -x-2.

Dividing both sides by -1, we get

y= x+2.

We can write it as y=1x+2.

Let us compare it with slope-intercept form y=mx+b.

On comparing, we get slope m= 1 and y-intercept b=2.

Let us check option -3x+3y=6.

Let us check it by converting in slope-intercept form.

Adding 3x on both sides we get

-3x+3x+3y=6+3x

3y = 3x + 6.

Dividing both sides each term by 3.

3y/3 = 3x/3 + 6/3.

y= 1x +2.

On comparing with slope-intercept form y=mx+b.

We got slope m=1 and y-intercept =2.

So, the equation in option B) -3x+3y=6 create a consistent and dependent system with x-y=-2.

ivann1987 [24]3 years ago

3 0

Answer:

Step-by-step explanation:

edg 2020

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What is the equation of the line that passes through the point (7,-6)and has a slope of -2

Tju [1.3M]

Answer:

The equation of the required line is: 2x + y = 8

Step-by-step explanation:

When a point on the line and the slope of the line are given, we use the slope - one - point form to determine the equation of the line.

Say, $(x_1, y_1)$ is the point passing through the line and the slope of the line is say, $m$ . Then the equation would be:

$(y - y_1) = m(x - x_1)$

Here $(x_1, y_1) = (7, -6)$ and slope, $m = - 2$ .

Therefore, the equation of the line becomes:

$y - (-6) = -2(x - 7)$

$\implies y + 6 = -2x + 14$

Rearranging we get:

$2x + y - 8 = 0$ which is the required equation of the line.

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3 years ago

Which of the following tables represent exponential functions?

makkiz [27]

Answer:

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3 years ago

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What is the nth term of the geometric sequence -2,10,-50

poizon [28]

Answer:

$T_n=-1(-5)^n^-^1$

Step-by-step explanation:

We are given;

A geometric sequence;

-2,10,-50

Required to determine the nth term

The nth term in a geometric sequence is given by the formula;

$T_n=a_1r^n^-^1$

where $a_1$ is the first term and r is the common ratio;

In this case;

$a_1=-2$

r = 10 ÷ -2

= -5

Therefore;

To get the nth term in the given geometric sequence we use;

$T_n=-1(-5)^n^-^1$

Thus, the nth term is $T_n=-1(-5)^n^-^1$

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3 years ago

The half-life of the carbon-14 isotope is about 5700 years. It occurs naturally in all organic matter. Scientists have discovere

netineya [11]

Answer:

The volcanic eruption occurred 8,634.90 years ago.

Step-by-step explanation:

Formula used:

$N=N_o\times e^{-\lambda t}\\\\\lambda =\frac{0.693}{t_{\frac{1}{2}}}$

where,

$N_o$ = initial mass of isotope = x

N = mass of the parent isotope left after the time, (t) = 35% of x=0.35x

$t_{\frac{1}{2}}$ = half life of the isotope = 5700 year

$\lambda$ = rate constant

$0.35x=x\times e^{-(\frac{0.693}{5700 years})\times t}$

Now put all the given values in this formula, we get

$t=8,634.90 years$

The volcanic eruption occurred 8,634.90 years ago.

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MatroZZZ [7]

Answer:

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Step-by-step explanation:

(-9)(-4)(-4)(8)

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4 years ago

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