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Oksi-84 [34.3K]
3 years ago
10

Write the linear equation in slope-intercept form -4x + 2y = 10

Mathematics
1 answer:
ella [17]3 years ago
3 0
You know slope intercept form is y=mx+b so just put in that form by:
Adding 4x to other side
2y=10+4x
Then divide by 2
Y=10/2 +4/2x
Simplify
Y=5+2x
I rearranged so x is first so your answer would be: y=2x+5
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Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities.
lutik1710 [3]

Answer:

Option b (4,1)

Step-by-step explanation:

The region given by the system of inequalities is shown in the graph. We must look within this region for the point that minimizes the objective function f(x, y) = 8x + 8y

The minimum points are found in the lower vertices of the region.

These vertices are found by equating the equations of the lines::

3x+2y=14\\-5x +5y=10

-------------------

x = 2\\y = 4

-8x + 3y = -29\\3x + 2y = 14

---------------------

x = 4\\y = 1

The lower vertices are:

(4, 1) (2, 4)

Now we substitute both points in the objective function to see which of them we get the lowest value of f(x, y)

f(4, 1) = 8(4) +8(1) = 40\\f(2, 4) = 8(2) + 8(4) = 48

Then the value that minimizes f(x, y) is (4,1).

Option b

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3 years ago
Which equation represents a line that is perpendicular to the line with equation y = 2x − 8?
marin [14]
If you have a point you can use to find b you would have the complete equation.

7 0
3 years ago
someone came into my shop and stole $100.00 from the register without my knowledge. The person came back in with the same $100.0
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In the diagram below, AB, BC and CD are three sides of a regular polygon.
Y_Kistochka [10]

Answer:

BR is about 7.3084 cm

Step-by-step explanation:

the sum of the exterior angles of any polygon is 360. The measure ox x would be 360/15= 24

since I want BR, I will use cos (adj/hyp)

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