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2 years ago

One sixth plus negative seven ninths

Mathematics

1 answer:

OLga [1]2 years ago

8 0

Answer:

-11/18

Step-by-step explanation:

1. find the common denominator. this should be 18

2. multiply 1 by 3 and -7 by 2

3. you should now have a fraction that says 3/18-14/18

4. now subtract these two fractions.

5. your answer should be -11/8

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What is y=7/4x+6 if the input was 53

Shkiper50 [21]

7/4(53) + 6
92.75 + 6

98.75

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2 years ago

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

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2 years ago

Simplify Exponents (X^3)^5

lbvjy [14]

Answer:

x ^15

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

On the number line above, PQ= 3/4 , PS= 8 1/12 , and RS= 2 1/2 . What is the position of point R ?

sergiy2304 [10]

Answer:

how do you know what the answer is

Step-by-step explanation:

6 0

2 years ago

(6 x10^2) divided by (3 x 10^-5) Give your answer in standard form.

alukav5142 [94]

The ansser is 2x10^-3 sorry for the mistake i’m french

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2 years ago