Can someone help me plz I will mark brainliest

What is the equation of a line perpendicular to:

Nataly [62]

Step-by-step explanation:

"perpendicular" means it creates a right angle (90°) with the original line.

a key element is the slope (the incline) of the line.

it is the factor of x (here 1/4 for the original line) and is defined as the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

the given slope of 1/4 means that for every increase in x by 4 units y increases by 1 unit.

now if you want to draw a few random lines, and then draw lines that cross them with a right angle, you will see very quickly the relationship of the slopes of the crossing lines :

for the slope of the perpendicular line x and y of the original slope trade places (the ratio turns "upside-down") and the sign of the slope flips (if the original line goes up, then the perpendicular line goes down and vice versa. so + turns into -, and - into +).

so, our original slope 1/4 turns into -4/1 = -4.

we still have infinite possibilities to draw such a perpendicular line (more up or more down on the coordinate grid).

to finally "nail" one particular line we need to use the given point and solve for the y-intercept.

the general slope-intercept form is

y = ax + b

a is the slope, b is the y-intercept (the y value for x = 0).

so, using the slope (-4) and the point (2, 5) we have

5 = -4×2 + b = -8 + b

13 = b

so, the full equation is

y = -4x + 13

7 0

2 years ago

Simplify -4 1/5 (-13 1/10) pls help

oksian1 [2.3K]

Answer:

55 1/50 or 2751/50

Step-by-step explanation:

Convert both expressions to improper form

Make their denominators the same

Multiply the numerators

Simplify the fraction if needed

4 0

2 years ago

An item is regularly priced at $83. It is now priced at a discount of 55% off the regular price.

mart [117]

Answer:

$45.65 total

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b . Determine the values of a and b.

slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite² (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0

2 years ago

How do I solve f+4/g=6 for f showing my work

V125BC [204]

We have two solutions for this problem based on the given equation.

Answer #1:

If the given equation was:

$f + \frac{4}{g} = 6$

To solve for f, we would need to isolate the "f" on one side of the equation.

In case of the above equation, we can simply do that by subtracting $\frac{4}{g}$ from both sides of the equation

This would give:

f + $\frac{4}{g}$ - $\frac{4}{g}$ = 6 - $\frac{4}{g}$

f = 6 - $\frac{4}{g}$

Answer #2:

If the given equation was:

$\frac{f+4}{g} = 6$

To solve for f, we would still need to isolate the "f" on one side of the equation.

This can be done as follows:

$\frac{f+4}{g} = 6$ ................> multiply both sides by (g)

f + 4 = 6g ................> subtract 4 from both sides of the equation

f + 4 - 4 = 6g - 4

f = 6g - 4

Hope this helps :)

6 0

3 years ago

Read 2 more answers