All categories

3 years ago

2. Graph the following equation: y = - 1/2 x + 4

Mathematics

1 answer:

Murljashka [212]3 years ago

8 0

Answer:

Step-by-step explanation:

y = (-1/2)x + 4 is the equation of a straight line with y-intercept (0, 4) and slope -1/2.

To graph this, first plot the y-intercept (0, 4).

Recall that slope m = rise / run, and notice that the slope in this particular case is -1/2 = rise / run, or rise = -1 and run = 2.

Starting with your pencil point on (0, 4), move the point 2 units to the right (run = 2), arriving at (2, 4). Next, move your pencil point 1 unit down, to (2, 3).

Draw a straight line through (0, 4) and (2, 3).

You might be interested in

WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i

trasher [3.6K]

Answer:

$z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)$

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

$z=r(\cos \theta +i\sin \theta)$

where, $r=\sqrt{a^2+b^2}$ and $\tan \theta=\dfrac{b}{a}$ , $\theta$ is called the argument of z, $0\leq \theta\leq 2\pi$ .

The given complex number is -5i.

It can be rewritten as

$z=0-5i$

Here, a=0 and b=-5. $\theta$ lies in 4th quadrant.

$r=\sqrt{0^2+(-5)^2}=5$

$\tan \theta=\dfrac{-5}{0}$

$\tan \theta=\infty$

$\theta=2\pi -\dfrac{\pi}{2}$ $[\because \text{In 4th quadrant }\theta=2\pi-\theta]$

$\theta=\dfrac{3\pi}{2}$

So, the trigonometric form is

$z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)$

4 0

3 years ago

Read 2 more answers

I need a answer to this problem asap please help

Georgia [21]

First factor (x square -36), the answer will be (x+6)(x-6).

Second, cancel the x .

6x/ (x+6)(x-6)

4x/(6)(-6)

4x/-36

4 0

3 years ago

If there are 23 students in your class, and your teacher is pulling random names from a hat, what is the probability that your n

krok68 [10]

If the teacher isn't putting the names back in the hat then it would be 1/21 if she is then 1/23

3 0

2 years ago

Read 2 more answers

3x + 10 >28 inequality

ratelena [41]

Answer:

x > 6

Step-by-step explanation:

Given

3x + 10 > 28 ( subtract 10 from both sides )

3x > 18 ( divide both sides by 3 )

x > 6

5 0

3 years ago

Read 2 more answers

Please help me <br> Find f(-4)

Katyanochek1 [597]

As x < 3, you would use the equation $x^{2} -5$
Plus in -4 for X and you would get $(-4)^{2} -5$
$(-4)^{2}$ is equal to 16.
$16-5=11
$
$f(-4)=11$

5 0

2 years ago