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3 years ago

1. slope == 5, through (3, 13)

Mathematics

1 answer:

GuDViN [60]3 years ago

8 0

I’m assuming you’re trying to find the equation of a line that intersects the point. In order to do this you need to plug in your points into the equation that at the moment just has your slope.

y=5x —> 13=5(3)+b —> 13=15+b —> 13-15=b

—> b=-2

Now that you finally found your b (y-intercept) you can just plug it in!

y=5x-2

You might be interested in

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes

mixer [17]

Answer:

0.02275

Step-by-step explanation:

We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.

We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.

$z=\frac{x-\mu}{\sigma}$

z = z-score,

x = Sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

$z=\frac{60-80}{10}$

$z=\frac{-20}{10}$

$z=-2$

Now, we will use normal distribution table to find area under z-score of $-2$ as:

$P(z< -2)$

$P(z< -2)=0.02275$

Therefore, the probability of completing the exam in one hour or less is 0.02275.

7 0

3 years ago

What is the area of the triangle?

ArbitrLikvidat [17]

9514 1404 393

Answer:

7 square units

Step-by-step explanation:

There are several ways the area of triangle EBD can be found.

find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
figure the area from the coordinates of the vertices.
use Pick's theorem and count the dots.

We choose the latter.

Pick's theorem says the area of a polygon can be found as ...

A = i + b/2 -1

where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.

The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...

A = 6 + (4/2) -1 = 7

The area of ∆EBD is 7 square units.