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3 years ago

An equation parallel and perpendicular to 4x+5y=19

Mathematics

1 answer:

mestny [16]3 years ago

8 0

Answer:

An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.

An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.

Step-by-step explanation:

The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.

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9+3.5g=11-0.5g brainliest to whoever gives steps

kow [346]

Answer:

The answer is g = 0.5

Step-by-step explanation:

1. Your equation is :

9+3.5g=11-0.5g

2. First, multiply both sides by ten

9 * 10 + 3.5 * 10 = 11 * 10 - 0.5 * 10

3. Next we refine the equation

90 + 35g = 110 - 5g

4. Now, lets subtract 90 from both sides

90 + 35g - 90 = 110 - 5g - 90

5. Simplify

35g + 5g = -5g + 20 + 5g

6. We then add 5g to both sides

35g + 5g = -5g + 20 + 5g

7. Simplify again

40g = 20

8. Now, divide both sides by 40

40g/40 = 20/40

9. And finally, simplify once again to get your final answer.

g = 1/2 or 0.5

I hope this helped :)

7 0

3 years ago

A = 1/2 bh solve for h

Elanso [62]

H=A/0.5b isolate h
h=2A/b Make all terms integers (optional)

6 0

3 years ago

Solve 2(x+3)3/2=54 x = show your work

hjlf

Answer:

x=15

Step-by-step explanation:

Step 1: Multiply both sides by 2.

Step 2: Simplify both sides of the equation.

6x+18=108

Step 3: Subtract 18 from both sides.

6x+18−18=108−18

6x=90

Step 4: Divide both sides by 6.

x=15

6 0

3 years ago

Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that

RUDIKE [14]

The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 $(x+4)^{2}$ /2!+...........

Given a function f(x)=9/x,a=-4.

We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.

The taylor series of a function f(x)= $f(a)+f^{1}(a)(x-a)/1!+ f^{11}(a)(x-a)^{2} /2! +f^{111}(a)(x-a)a^{3}/3!+..........$

Where the terms in f prime $f^{1}$ (a) represent the derivatives of x valued at a.

For the given function.f(x)=8/x and a=-4.

So,f(a)=f(-4)=8/(-4)=-2.

$f^{1}$ (a)= $f^{1}$ (-4)=-8/( $-4)^{2}$

=-8/16

=-1/2

The series of f(x) is as under:

f(x)=f(-4)+ $f^{1}(-4)(x+4)/1!+ f^{11}(-4)(x+4)^{2}/2!.............$

$=8/(-4)-8/(-4)^{2} (-4)(x+4)/1!+ 24/(-4)^{3} (-4)(x+4)^{2}/2!.............$

=-2+2(x+4)/1!-24/16 $(x+4)^{2}$ /2!+...........

Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 $(x+4)^{2}$ /2!+...........

Learn more about taylor series at brainly.com/question/23334489

#SPJ4

3 0

1 year ago

PLEASE HELP! Which of the following ordered pairs is a solution to the given system of equations?

Paha777 [63]

Answer:

A.............

Step-by-step explanation:

. ..........

8 0

2 years ago

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