What is slope of the line -3y=8x -5?

1 answer:

8 0

When finding the slope of a line you need to get it into the form y=mx+b, m being your slope. So if you divide your entire problem by -3 to isolate your y, you get y=-8/3x+5/3. This means that -8/3 will be your slope.

You might be interested in

A 13-foot piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. Find t

Yuri [45]

The answer is 10 and 3
6/2 = 3
6 + 4 = 10
10 + 3
it said one piece was twice the other plus 4.

4 0

3 years ago

the volume of a gas varies inversely as the pressure upon it. if the volume of the gas is 160 cubic centimeters at a pressure of

marin [14]

It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:

V α 1/P

To change it to an equality, we introduce a proportionality constant, k. We do as follows:

V = k/P

So, to determine what is asked, we need to first calculate for the value of k.

V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280

Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3

4 0

3 years ago

What are the rounded answers to each question?

matrenka [14]

For the given triangle, m∠G° = 51°, HI = 23.3 units, and GH = 18.9 units.

Step-by-step explanation:

Step 1:

In the triangle, the given angle is 39°, the hypotenuse side's length is 30 units. Assume the opposite side's length is x units.

To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.

$sin\theta= \frac{oppositeside}{hypotenuse}, sin39=\frac{x}{30}.$

$0.6293 = \frac{x}{30} , x = 18.879.$

GH measures 18.879 units. Rounding this off, we get 18.9 units.

Step 2:

Assume the side HI measures y units. According to Pythagoras' theorem,

$30^{2}= 18.879^{2} +y^{2} , y^{2}=30^{2}-18.879^{2}.$

$y^{2} = 543.5834, y = 23.314.$

So HI measures 23.314 units. Rounding this off, we get 23.3 units.

Step 3:

GHI is a triangle and all triangles have a total angle of 180°.

$\begin{aligned}&\angle G^{\circ}+\angle H^{\circ}+\angle I^{\circ}=180^{\circ},\\&\angle G^{\circ}+90^{\circ}+39^{\circ}=180^{\circ},\\&\angle G^{\circ}=180^{\circ}-129^{\circ}=51^{\circ}.\end{aligned}$