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3 years ago

Please help me with number 2 :)

Mathematics

1 answer:

Tcecarenko [31]3 years ago

7 0

Aubra because you always round to the greater value if the number is 5-9

You only round down if the number at the end is 0-4

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Write the equation of the line that passes through (3, 4) and (2, –1) in slope-intercept form.

Alona [7]

First find the slope. 4+1/3-2 = 5/1 or 5. Plug in your points to find b. 4=5(3)+b. 4=15+b. b=-11. SO the equation is y=5x-11.

6 0

3 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:

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

4 0

2 years ago

Which of the four representations are incorrect?

kolezko [41]

Answer:

The equation is wrong

Step-by-step explanation:

if you read the description closley, it matches eith rhe table and the graph but if you know how to do the equation, its no -5/2x+40

3 0

2 years ago

Read 2 more answers

Greg has 2 bags with 7 marbles in each bag Sarah has 10 bags with marbles in each bag how many more marbles does Sarah have

Troyanec [42]

56, because you times 7 by 2 because Greg has 2 then you times 7 by 10 because then you get the answers 14 and 70 and take them away from each other

7 0

3 years ago

What logaa equals??

Lelu [443]

Answer:

Logarithm I think

Step-by-step explanation:

If u need more explanation u can ask me

8 0

3 years ago