Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b. Therefore:

$-x+2y=4\\2y=x+4\\\\y=\frac{x+4}{2}\\\\y=\frac{1}{2}x+2$

Therefore, our slope is 1/2 and our y-intercept is 2. Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning $\frac{1}{2}=-2$ (negative reciprocal). Now we must use the point slope formula:

$y=m(x-x_1)+y_1$

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

$y=-2(x-(-2))+1\\\\y=-2(x+2)+1\\\\y=-2x-4+1\\\\y=-2x-3$

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.

6 0

2 years ago

If a sprinkler Waters 1/20 of a lawn in 1/5 of an hour, how much time will it take to water the entire lawn?

loris [4]

4hrs, I think, because 20 divided by 5 is 4.

6 0

2 years ago

If tan x° = a divided by 4 and cos x° = 4 divided by b what is the value of sin x°? (1 point) \

Rudiy27

Answer:

Sin x = a / b.

Step-by-step explanation:

The opposite side =a and the adjacent side = 4 (because tan x = a/4.

Cos x = 4/b so the hypotenuse = b ( because Cos = adjacent /hypotenuse.

So sin x = opposite /hypotenuse = a / b.

3 0

2 years ago

The 18th term of an arithmetic sequence is 49 and the first term is 15.

Tju [1.3M]

Answer:

Step-by-step explanation:

49-15=34

34/17=2

For this sequence, you can write this function:

f(x)=15+2(x-1)

Check:

f(18)=15+2(18-1)

f(18)=15+2(17)

f(18)=15+34

f(18)=49

So:

f(10)=15+2(10-1)

f(10)=15+2(9)

f(10)=15+18

f(10)=33

5 0

2 years ago