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raketka [301]
3 years ago
12

Find the value of 3x + 4y when x = -2 and y = 4

Mathematics
2 answers:
Natali [406]3 years ago
8 0
3*-2+4*4
-6+16
10 
hope that helps
lord [1]3 years ago
3 0
-6x+16y................
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What is the area of the polygon? Show your work.​
koban [17]

Answer:

33 square units

Step-by-step explanation:

Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.

<h3>Area of the rectangle</h3>

The area of a rectangle is simply A = bh, where b represents the base and h represents the height.

Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.

Substituting in the values, we get:

A = (6)(4)\\A = 24

The area of the rectangle is 24 square units

<h3>Area of the triangles</h3>

The area of a triangle is simply A = \frac{1}{2} bh.

The base of each triangle is 3, and the height of each triangle is also 3.

Substituting in the values, we get:

A = \frac{1}{2} (3)(3)\\A =  \frac{1}{2} (9)\\A =  9 / 2\\A = 4.5

The area of each triangle is 4.5 square units

<h3>Area of the polygon</h3>

To get the area of the polygon, we simply add up the area of the rectangle and both triangles

A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33

The total area of the polygon is 33 square units.

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Answer: y = -3x + 10

Step-by-step explanation:

Using the formula for finding the equation of line ;

y - y_{1} = m ( x - x_{1} )

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m = -3

Substituting into the formula , we have

y - (-2) = - 3 ( x - 4 )

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writing the equation of the line in slope - intercept form , this means that we must make y the subject of the formula , that is

y = -3x + 12 - 2

y = -3x + 10

4 0
3 years ago
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