All categories

2 years ago

What is an equation of the line that passes through th (3,-1) and has a slope of 2?

1 answer:

4 0

The given point to us is (3,-1) and the slope of the line is 2 . We can use the point slope form of the line as ,

$\sf\longrightarrow m ( x - x_1) = y - y_1$

Substitute the values ,

$\sf\longrightarrow 2( x - 3 ) = y - (-1)$

Simplify LHS and RHS ,

$\sf\longrightarrow 2x - 6 = y +1$

Put all terms on one side ,

$\sf\longrightarrow \boxed{\bf 2x - y -7=0}$

You might be interested in

The perimeter of this square is 20 inches.

Rashid [163]

Answer:

Amaya is wrong.

Step-by-step explanation:

The perimeter of the square is 20 inches, which means each side of the square needs to add up to 20 inches. If the side length of that side Amaya pointed out is 4 inches, then the total perimeter would only be 18 inches, in another case, if they were talking about the area of the square/rectangle (now), it would be 20 inches. So, Amaya is wrong.

5 0

3 years ago

Find lim x→3 sqrt 2x+3-sqrt 3x/ x^2-3x. you must show your work or explain your work in words plsss I need help

sineoko [7]

I'm assuming the limit is supposed to be

$\displaystyle\lim_{x\to3}\frac{\sqrt{2x+3}-\sqrt{3x}}{x^2-3x}$

Multiply the numerator by its conjugate, and do the same with the denominator:

$\left(\sqrt{2x+3}-\sqrt{3x}\right)\left(\sqrt{2x+3}+\sqrt{3x}\right)=\left(\sqrt{2x+3}\right)^2-\left(\sqrt{3x}\right)^2=-(x-3)$

so that in the limit, we have

$\displaystyle\lim_{x\to3}\frac{-(x-3)}{(x^2-3x)\left(\sqrt{2x+3}+\sqrt{3x}\right)}$

Factorize the first term in the denominator as

$x^2-3x=x(x-3)$

The $x-3$ terms cancel, leaving you with

$\displaystyle\lim_{x\to3}\frac{-1}{x\left(\sqrt{2x+3}+\sqrt{3x}\right)}$

and the limand is continuous at $x=3$ , so we can substitute it to find the limit has a value of -1/18.

7 0

3 years ago

The 25 member of the reading club are buying a book to discuss at the next meeting the club leader got a special price the book

Pavel [41]

8.14 times 25 = 203.5

5 0

3 years ago

Read 2 more answers

What is the square root of: a) 58.82 b) 10

natka813 [3]

Square root of A= 7.66 ( Took the first 2 numbers after the decimal.)
Square root of B= 3.16 (Took the first 2 numbers after the decimal.)
HOPE THIS HELPS! ^_^

7 0

3 years ago

A circle has a radius of 3 feet. What is the circumference of a bigger circle if the scale factor of the smaller to bigger is 4:

Vaselesa [24]

Big/small=4/7

r1/r2=4/7 where r1, r2 are radius of a big and small circles respectively

r1/3=4/7

r1=12/7

circumference of a big circle is2πr1=2π*12/7=24π/7 cm

7 0

3 years ago

What is an equation of the line that passes through th (3,-1) and has a slope of 2?​

What is an equation of the line that passes through th (3,-1) and has a slope of 2?