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3 years ago

Write down the equation of a line parallel to y = 3x + 2

Mathematics

1 answer:

vichka [17]3 years ago

8 0

Answer:

y= 3x - 15

Step-by-step explanation:

parallel lines have the same slope, but different y intercepts

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What is the solution for the equation 6x − 8 = 4x?

ira [324]

Answer:

Step-by-step explanation:

First, get x to one side.

subtract 6x to both sides

-8 = -2x

Then divide -2 to both side

6 0

3 years ago

Can someone help me ? Please thank you

Tom [10]

Correct answer is the 4th choice 16!!!

Hope this helps!!!

7 0

3 years ago

Help me out!! Will give brainless!!

Scorpion4ik [409]

Answer:

1800

Step-by-step explanation:

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3 years ago

In a small town, the stray cat population is rapidly increasing. There are currently 20 stray cats, and it is estimated

BigorU [14]

2 years will be 80 cats (20 x 2 = 40 (year 1) and 40 x 2 = 80 (year 2))

3 years will be 160 (80 x 2 = 160)

5 years will be (160 x 2 = 320 (year 4) and 320 x 2 = 640 (year 5)) So 5 years will be 640

7 0

4 years ago

A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set

lara [203]

A circle with center $(3,0)$ and radius $5$ has equation

$(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x = 16$

If we substitute $y=2x+k$ in this equation, we have

$x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0$

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

$\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0$

The expression simplifies to

$-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89$

The solutions to the associated equation are

$k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}$

So, the parabola is negative between the two solutions:

$-6-5\sqrt{5}$

8 0

3 years ago