Answer:7134.4
Step-by-step explanation: 36.4*14 is 509.6 and times 14 again is 7134.4
The area of the polygon with the given vertices: (-3,3) (-3,-1) (4,-1) (4,3) is 28 square units
<h3>What is rectangle ?</h3>
A rectangle is a polygon with four sides. The opposite sides of a rectangle are equal while the angles at the vertex is orthogonal
<h3>How to solve for area of the rectangle</h3>
The following are the data given in the question
polygon with the given vertices' as:
(-3,3)
(-3,-1)
(4,-1)
(4,3)
plotting the given polygon shows it is a rectangle with sides
Length, L = 7 units
Width, w = 4 units
Area if a rectangle is given by
= L * w
= 7 * 4
= 28 square units
The area of the polygon is 28 square units
Learn more in area of rectangle: brainly.com/question/16239445
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You can plug in the numbers to check.
Y - 2x > 17
(8) -2(-5) > 17
8 + 10 > 17
18 > 17
This is true so
Final answer:
Yes, (-5,8) is a solution
Answer:
31x² - 2
Step-by-step explanation:
5(2x²-1)+3(7x²+1) = 5*2x² - 5*1 + 3*7x² + 3 = 10x² - 5 + 21x² + 3 = 31x² - 2
Answer: f(x) = –3x + 14
Step-by-step explanation:
The point slope form of an equation is expressed as
y - y1 = m(x - x1)
The given equation is
y + 1 = –3(x – 5)
Comparing with the point slope equation,
y1 = - 1
Slope, m = - 3
x1 = 5
The equation of a straight line can also take the slope intercept form,
y = mx + c
Where
m is the slope(change in y /change in x)
c represents the intercept.
We would determine the intercept by substituting x = 5 , y = -1 , m = - 3, into y = mx + c. It becomes
- 1 = - 3 × 5 + c
- 1 = -15 + c
c = - 1 + 15 = 14
The equation becomes
y = -3x + 14
