A function is _____ a relation. A) always B) sometimes C) never

Find the perimeter and the area of the polygon with the given vertices. W (11,2), X (11,8), Y (14,8), Z (14,2)

liberstina [14]

Answer:

The perimeter of the polygon = 18 units

The area of the polygon will be $A=18$ square units

Step-by-step explanation:

Computing the Perimeter of the Polygon: 

Considering the polygon with vertices

W (11,2)

X (11,8)

Y (14,8)

Z (14,2)

As the polygon is drawn in coordinate plane as shown in figure a.

From the attached figure a, we can observe that

The length of the side $WZ = 3$ units

The length of the side $ZY = 6$ units

The length of the side $WX = 6$ units

The length of the side $XY = 3$ units

So, the perimeter of the polygon can be calculated by taking the sum of the lengths of all sides i.e.

The perimeter of the polygon = $WZ + ZY + WX + XY$

= 3 + 6 + 6 + 3

= 18 units

Computing the Area of the Polygon: 

Area can be calculated by multiplying the length and width of the polygon.

$A=lw$

So, the area will be:

$A=lw$

$A=(3)(6)$

$A=18$

Therefore, the area of the polygon will be $A=18$ square units

Keywords: area, perimeter, polygon

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5 0

3 years ago

If (x + 2 ) is a factor of x3 − 6x2 + kx + 10, k =

BartSMP [9]

If a binomial x-a is a factor of a polynomial p(x), then p(a)=0.

x+2 is a factor of p(x)=x³-6x²+kx+10, so p(-2)=0.

$p(-2)=0 \\
(-2)^3 - 6 \times (-2)^2 + k \times (-2) + 10=0 \\
-8-6 \times 4-2k+10=0 \\
-8-24-2k+10=0 \\
-2k-22=0 \\
-2k=22 \\
k=\frac{22}{-2} \\
\boxed{k=-11}$

8 0

3 years ago

Read 2 more answers

Given that f(–2.4) = -1 and f(-1.9) = -8, approximate f'(-2.4). f'(-2.4)

lora16 [44]

Answer:

f'(-2.4) ≈ -14

General Formulas and Concepts:
Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Functions

Function Notation

Calculus

Differentiation

Derivatives
Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

Identify.

f(-2.4) = -1

f(-1.9) = -8

Step 2: Differentiate

Simply plug in the 2 coordinates into the slope formula to find slope m.

[Derivative] Set up [Slope Formula]: $\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}$
Substitute in coordinates: $\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}$
Evaluate: $\displaystyle f'(-2.4) \approx -14$