All categories

3 years ago

I need help asap :(

Mathematics

1 answer:

MrRa [10]3 years ago

3 0

Answer:

Step-by-step explanation:

Firstly, perpendicular line has a slope that is "negative reciprocal" of the given line's slope.

The equation of a line is y = mx + b

Where m is the slope and b is the y-intercept

So, the given line has a slope of "-4", hence the perpendicular line would have a slope of "1/4". So immediately we can eliminate Answer Choice "A".

Now, let's see which of the other choices is our correct answer. Since we know this line has slope of "1/4", we can write:

y = (1/4)x + b

Given the point (4,5), we can replace "x" with "4" and "y" with 5 and find b:

$y=\frac{1}{4}x+b\\5=\frac{1}{4}(4)+b\\5=1+b\\b=5-1\\b=4$

So, the equation is:

$y=\frac{1}{4}x+4$

Correct answer is D

You might be interested in

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

3 years ago

BRAINLIST and POINTS help

dimaraw [331]

Answer:

Step-by-step explanation:

9*a=63-b=58

because a=7 and b=5

brainliest?

8 0

3 years ago

Read 2 more answers

Find the distance between points P and B.

Ksivusya [100]

The distance of points P and B is 5

6 0

2 years ago

You are selling flowers for a fundraiser . You pay $ 1.50 for each flower plus a flot rate delivery fee of $ 15 . You are sellin

Feliz [49]

Answer:

15÷1 .50=10

Because you are already paying a flat rate of $15. You make 1.50 off of each flower. So you have to sell over 10 flowers to make a profit.

7 0

2 years ago

At the grocery store, Henry bought c pounds of cashews for $4.99 per pound. If he buys 2 pounds, how much will they cost?

Veronika [31]

The “c” pounds is a bit off putting if he only bought a pound. 2 pounds of Cashews would cost $9.98

3 0

3 years ago

I need help asap :(​

I need help asap :(