35,600 is 8.3% of what number

1 answer:

7 0

This question can be solved by:
$\frac{8.3}{100} = \frac{35,600}{x}$

Cross multiply to get: 8.3x = 3,560,000

To let the x stand along (since you are finding the x value), divide 8.3 to both sides of the equal sign.

$\frac{8.3x}{8.3} = \frac{3560000}{8.3}$

Simplify to get the answer.

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Write the equation of the line that passes through the points (3,-8) and (-8, 1).

NemiM [27]

Answer:In order to write an equation for a line when we are only given 2 points it passes through, we first need to determine the slope of the line. The slope of the line is found by dividing the difference in the y-coordinates of the 2 points by the difference in the x-coordinates of the 2 points. (mathematically known as rise over run), (you may remember hearing this in class)

Step-by-step explanation:

y1-y2 / x1-x2 is the formula we will use to find the slope.

Pick one of the coordinates to be 1 and let the other be 2. We will let (3, 8) be 1 and (1, 0) be 2 because it has a 0 and subtracting 0 is easier.

Remember - whichever point contains y1, must also contain x1.

Our slope is found by substituting

(8 - 0) / (3 - 1) =

8 / 2 = 4. So the slope is 4.

Our equation for the line must be in the form of

y = mx + b (m is the slope and be is the y-intercept, where the line crosses the y-axis)

Again, choose a point and we will finish the equation. Let's use (1, 0). Always easier to use when there is a 0.

We will substitute our coordinates into the equation -

y - y1 = m(x - x1)

y - 0 = 4(x - 1)

y = 4x - 4 - your equation.

You can check your work by using the other point, (3, 8)

y = 4x - 4

8 = 4(3) - 4

8 = 12 - 4

Because this equation is true, your equation for the line is correct.

Hope this helps.

7 0

3 years ago

What's the correct label for an angle with its vertex at point Y that passes through point X on one side of the angle and point

Alisiya [41]

An angle is two rays with a common endpoint, called the vertex. The rays are the sides of the angle.

In the angle ∠XYZ, the vertex is Y, and the sides are rays $\overrightarrow{YX}$ and $\overrightarrow{YZ}.$

You can name angles by three letters, X on one side, the vertex Y, and Z on the other side: ∠XYZ and ∠ZYX are both names for this angle. Or an angle can be named by just its vertex, for example, ∠Y, as long as it is the only angle with that vertex.

Therefore, the correct option is B