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3 years ago

Indicate in standard form the equation of the line through the given points. K(6, 4), L(-6, 4)

Mathematics

2 answers:

Fofino [41]3 years ago

8 0

Answer:

$y=4$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

The equation of the line in Standard form is:

$Ax + By =C$

Where A, B, and C are integers.

We can find the slope of this line with this formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Given the points K(6, 4) and L(-6, 4), we get:

$m=\frac{4-4}{-6-6}=0$

Substituting the value of "m" and the coordinates of any point on the line into the equation and solving for "b", you get:

$4=0(6)+b\\b=4$

Therefore, the equation of this line is:

$y=4$

azamat3 years ago

7 0

y=4

the values of x changes while the y doesn't so it's y=4

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Find the first 4 terms in each sequence

koban [17]

Answer:

a₁ = -21 (Given)

a₂ = -28

a₃ = -35

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Step-by-step explanation:

First term a₁ = -21 (Given)

…………………………………

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a₂ = $a_{2-1} - 7\\a_{1} - 7\\a_{1} = -21\\-21 - 7 = -28$

…………………………………

Third term a₃ :

a₃ = $a_{3-1} - 7\\a_{2} - 7\\a_{2} = -28\\-28 - 7 = -35$

…………………………………

Fourth term a₄ :

a₄ = $a_{4-1} - 7\\a_{3} - 7\\a_{3} = -35\\-35 - 7 = -42$

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2 years ago

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Phantasy [73]

Given:

$m\angle ABC=60$

To find:

The $m\angle ADC$ .

Solution:

In circle B, $\angle ABC$ is central angle and $\angle ADC$ is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

$m\angle ABC=2(m\angle ADC)$ [Central angle theorem]

$60=2(m\angle ADC)$

Divide both sides by 2.

$\dfrac{60}{2}=m\angle ADC$

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3 years ago

The mass of a proton is approximately 1.67 x 10−24, and the mass of an electron is approximately 9.11 x 10−28. Find the approxim

nataly862011 [7]

Answer:

≈ 1833

Step-by-step explanation:

To find ratio of proton mass to electron mass, we have to divide.

The numbers are given in <em>scientific notation</em>.

Let a number be $a*10^b$ and another be $c*10^d$ , when we divide, we will follow the rule shown below:

$\frac{a*10^b}{c*10^d}=(\frac{a}{c}*10^{b-d})$

Now, we use the information given to find the ratio:

$\frac{1.67*10^{-24}}{9.11*10^{-28}}\\=(\frac{1.67}{9.11}*10^{-24--28})\\=0.1833*10^4$

This means we can find the number by taking 4 decimal places to the right, so that would becomes:

$0.1833*10^4=1833$

The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]

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Nter the equation of the line in slope-intercept form.<br><br> Slope is 6, and (1, 3)

kupik [55]

Answer:

The equation in the slope-intercept form will be:

$y=6x-3$

Step-by-step explanation:

Given

slope = m = 6

point = (1, 3)

As we know that the equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 6 and point = (1, 3)

$y-3=6\left(x-1\right)$

Writing the equation in slope-intercept form

$y=mx+b$

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

$y-3=6\left(x-1\right)$

add 3 to both sides

$y-3+3=6\left(x-1\right)+3$

$y=6x-3$

Therefore, the equation in the slope-intercept form will be:

$y=6x-3$

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