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2 years ago

a line is parallel to y=4x+1 and intersects the point (-2,4) what is the equation of this parallel line

Mathematics

2 answers:

Misha Larkins [42]2 years ago

4 0

Answer: y=4x+12

Step-by-step explanation:

a parallel line has the same slope, so the slope remains 4

use point slope formula to write the equation

$y-y_{1} =m(x-x_{1} )\\y-4=4(x--2)\\y-4=4(x+2)\\y-4=4x+8\\y=4x+12$

andriy [413]2 years ago

4 0

Answer:

y=4x+12

Step-by-step explanation:

When two lines are parallel, their slopes are the same. In y=mx+c form, m is the slope. So the slope of our parallel line is 4:

y=4x+c

To find c, plug in (-2,4) into the equation because we know it's a point on the line:

4=4(-2)+c

4=-8+c

c=12

So our equation is y=4x+12

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tino4ka555 [31]

Let T be the taco, B the burrito, MP the mexican pizza, R the rice, and N the beans.

For the main course we can have the first three.

----- T

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5 0

3 years ago

Read 2 more answers

Y +

Usimov [2.4K]

Question:

What is the common denominator of $y+\frac{y-3}{3}$ in the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$

A) $3 y(y-3)$

B) $y(y-3)$

C) $3y$

D) $3$

Answer:

Option D : 3 is the common denominator

Explanation:

It is given that the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$

We need to determine the common denominator of $y+\frac{y-3}{3}$ from the complex fraction.

Let us consider the fraction $y+\frac{y-3}{3}$

To find the common denominator, let us take LCM.

Thus, rewriting the above fraction as,

$\frac{y}{1} +\frac{y-3}{3}$$

The LCM can be determined by multiplying the denominators.

Thus, we get,

$1\times3=3$

Thus, the common denominator is 3.

Hence, Option D is the correct answer.

6 0

3 years ago

A fisherman is sitting 2 feet above the surface of a lake on a boat. The hook on his fishing pole is floating 6 feet below the l

4vir4ik [10]

Answer:

A.12 feet

B. 2 feet>6 feet

Step-by-step explanation:

A. 2 feet x 6 feet = 12 feet

B. 2 feet>6 feet

6 0

2 years ago

8=−2/5c<br><br> Help me <br><br> I’m single ready to mingle

vitfil [10]

Answer:

-20

Step-by-step explanation:

First, you divide both sides by -2/5, which would get you c = 8 * -5/2 (Because when you divide, you multiply by the reciprocal). 8 * -5/2 is equal to -20. The answer is -20.

4 0

3 years ago

ABC is a tangent to the circle below. O is the centre of the circle. Work out the size of angle 0. Give reasoning to justify you

Delvig [45]

Answer:

Θ = 46°

Step-by-step explanation:

the angle between a tangent and a radius at the point of contact is 90° , so

∠ ABO = 90°

since OB = OD ( radii of circle ) then Δ BOD is isosceles and

∠ OBD = ∠ ODB = 22°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ AOB is an exterior angle of the triangle , then

∠ AOB = 22° + 22° = 44°

the sum of the 3 angles in Δ AOB = 180° , then

Θ + 44° + 90° = 180°

Θ + 134° = 180° ( subtract 134° from both sides )

Θ = 46°

6 0

1 year ago