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3 years ago

13

What is the solution to the system of equations? you must show all work to recieve full credit!

1 answer:

earnstyle [38]3 years ago

5 0

Use the substitution method:
2x - 6y = -12
x - 2y = -8
Then x = 2y - 8
Substitute in the first equation:
2(2y - 8) - 6y = -12
4y - 16 - 6y = -12
-2y = 4
y = -2
Now substitute y in one of the two equations given you prefer:
For example x-2*(-2) = -8
x + 4 = -8
x = -12
The solutions are x = -12 and y = -2

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A solid has 16 faces and 14 vertices. How many edges does the solid have

PSYCHO15rus [73]

We know the number of faces and vertices of the solid and we have to calculate the number of edges.We have : F = 16 and V = 14.The formula is:F - E + V = 216 - E + 14 = 216 + 14 - 2 = EE = 30 - 2E = 28Answer: The solid has 28 edges.

4 0

3 years ago

the earth rotates about its axis once every 23 hours, 56 minutes and 4 seconds. Approximate the number of radians the earth rota

marishachu [46]

Answer:

$\frac{\pi}{43082}\text{ radians per second}$

Step-by-step explanation:

Given,

Time taken in one rotation of earth = 23 hours, 56 minutes and 4 seconds.

Since, 1 minute = 60 seconds and 1 hour = 3600 seconds,

⇒ Time taken in one rotation of earth = (23 × 3600 + 56 × 60 + 4) seconds

= 86164 seconds,

Now, the number of radians in one rotation = 2π,

That is, 86164 seconds = 2π radians

$\implies 1\text{ second }=\frac{2\pi}{86164}=\frac{\pi}{43082}\text{ radians}$

Hence, the number of radians in one second is $\frac{\pi}{43082}$

4 0

3 years ago

Natali5045456 [20]

Answer:

The first number (or x value) of an ordered pair.

Step-by-step explanation:

Abscissa is the first number (or x value) of an ordered pair.

A coordinate plane is a way of locating points in a plane that consists of a horizontal and a vertical number line intersecting at the zeros.

Coordinates are an ordered pair, (x, y), that describes the location of a point in the coordinate plane.

Ordinate is the second number (or y value) of an ordered pair.

Origin is the point of intersection, (0, 0), of the axes in the coordinate plane.

A quadrant is a region in the coordinate plane.

X axis is the horizontal axis in the coordinate plane.

Y axis is the vertical axis in the coordinate plane.

4 0

3 years ago

The average and standard deviation of a measurement is 15.0 ± 5.0. if 100 students measured the value, how many would you expect

AURORKA [14]

Solution: We are given:

$\mu=15, \sigma=5$

Using the empirical rule, we have:

$\mu \pm \sigma$ covers 68% of data.

Also the percentage of values below mean = Percentage of values above mean = 50%

Now, let's find the z score for x=20

$z=\frac{20-15}{5}=1$

Therefore, the percentage of values greater than 1 standard deviation above mean $50\% - \frac{68\%}{2} =50\%-34\%=16%$

Expected number of students = 16% of 100 = 16

4 0

3 years ago

Solve for f: d/2+f/4=6

soldi70 [24.7K]

I believe this should be right

3 0

3 years ago