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xz_007 [3.2K]
3 years ago
15

Solve the following system of equations graphically on the set of axes below. Y=1/3x+6 y=-5/3x-6

Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.

First, we have the lines:

y = (1/3)*x + 6

y = (-5/3)*x - 6

To graph these lines, you must find two points for the lines and then draw a line that connects the points.

To do it, you can evaluate each line in two different values of x, for example for the first line we can have:

y(0) = (1/3)*0 + 6 = 6   (then we have the point (0, 6))

y(3) = (1/3)*3 + 6 = 7    (then we have the point (3, 7))

And for the second line, we will have:

y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))

y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))

Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.

The graphs of the lines are shown below:

Where the grey line is the first one, and the green is the second.

In the graph, you can see that the lines intersect in the point (-6, 4)

Then the solution for the system is x = -6, and y = 4.

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How many two-digit numbers are there in which the tens digit is greater than<br> the ones digit?
Dovator [93]

there are 46 2-digit numbers in which the tens digit is greater than the ones digit.

<h3>How many 2-digit numbers are there in which the tens digit is larger than the ones digit?</h3>

A 2-digit number is written as:

a*10 + b

Where a and b are single-digit numbers.

Tens digit and ones digit refers to place values:

a is the tens digit, and b is the ones digit. The numbers with a larger tens digit than the ones digit are:

98, 97, 96, 95, 94, 93, 92, 91, 90, 87, 86, 85, 84, 83, 82, 81, 80, 76, 75, 75, 74, 73, 72, 71, 70, 65, 64, 63, 62, 61, 60, 54, 53, 52, 51, 50, 43, 42, 41, 40, 32, 31, 30, 21, 20, 10.

We can see that there are 46 numbers in that list, so we conclude that there are 46 2-digit numbers in which the tens digit is greater than the ones digit.

If you want to learn more about place values:

brainly.com/question/12386995

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1 year ago
A triangular pyramid is formed from three right triangles as shown below.
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Answer:

70

Step-by-step explanation:

RU=20 (45-45-90 triangle)

use pythagorean theorum

20^2+b^2=73^2

evaluate

b^2=4929

sq root both side

rounded to nearest integer, side SU is 70

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