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2 years ago

The graph of a function is a line that passes through the coordinates

Mathematics

1 answer:

Citrus2011 [14]2 years ago

6 0

Answer:

The rate of change of the function is 9

Step-by-step explanation:

Mathematically, the rate of change of the function refers to the slope of the line that passes through the given points

Thus, we use the slope equation as follows;

m = (y2-y1)/(x2-x1)

(x1,y1) = (6,6)

(x2,y2) = (7,15)

Substituting these values, we have

m = (15-6)/(7-6) = 9/1 = 9

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You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-

Nikitich [7]

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

$AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7$

Similarly,

$BC=\sqrt{(5-(-2))^2+(4-4)^2}=7$

$CD=\sqrt{(5-5)^2+(4-(-3))^2}=7$

$AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7$

It is conclude that, $AB=BC=CD=AD$ .

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

$P=4a=4(7)=28\text{ yards}$

Area of square floor is

$A=a^2=7^2=49\text{ sq. yards}$

Therefore, the perimeter is 28 yards and the area is 49 square yards.

7 0

2 years ago

What is the length of a rectangle with width 12 inches and an area of 66 inches^2

sammy [17]

Answer:

The length is 5.5 inches

Step-by-step explanation:

The area of a rectangle is

A = lw

66 = l * 12

Divide each side by 12

66/12 = l

5.5 = l

The length is 5.5 inches

8 0

2 years ago

Read 2 more answers

Evaluate the expression x/6+y for x=24 and y=17

SVETLANKA909090 [29]

The answer would be 21 because the expression would be 24/6+17

7 0

2 years ago

A rectangle is 6 inches longer than it is wide. The perimeter of the rectangle is 44 inches.Write and solve an equation for the

Nataly_w [17]

Answer:

Length is 14 in

Width is 8 in

Step-by-step explanation:

Given:

Length = l
Width = w
Perimeter = P = 44 in

<h3>Solution</h3>

Equations as per given:

l - w = 6
P= 2(l+w) = 44 ⇒ l +w = 22

Adding up the two equations:

l - w + l +w = 6 + 22
2l = 28
l = 28/2
l = 14 in

Then finding the value of w:

w = l -6
w = 14 - 6
w = 8 in

Answer: The length of the rectangle is 14 inches and width is 8 inches

5 0

2 years ago

Write 0.000 000 33 in scientific notation.

jarptica [38.1K]

Number part = 3.3 and

Exponent part = -7

3.3*10−7

7 0

2 years ago

Read 2 more answers