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2 years ago

Find the midpoint A and B where A has a coordinates (2, 7) and B has coordinates (6,3)

Mathematics

2 answers:

solong [7]2 years ago

7 0

Answer:

(2+6)/2= 4 (x-coordinate of midpoint)

(7+3)/2= 5(y=coordinate of midpoint)

ExtremeBDS [4]2 years ago

3 0

Answer:

Hope it will help you:)

Step-by-step explanation:

Solution:

here,

A(2,7)-( $x_{1,}y_{1$ )

B(6,3)-( $x_{2},y_{2$ )

Now using midpoint formula,

midpoint of ab=(x1 + x2)/2, (y1 + y2)/2

=(2+6)/2,(7+3)/2

=(8/2,10/2)

=(4,5)

The midpoint of AB is(4,5).

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What is the effect on the graph of the function f(x) = x^2 when f(x) is changed to f(x − 6)

olya-2409 [2.1K]

Answer:

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing $f(x) = x^2$ and $\:f\left(x\right)=\left(x-6\right)^2$ is represented as being shifted 6 units to the right as compare to the function $f(x) = x^2$ .

Step-by-step explanation:

When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.

For example:

Type of change Effect on y = f(x)

$y = f(x - c)$ horizontal shift: c units to right

Considering the function

$f(x) = x^2$

The graph is shown below. The first figure is representing $f(x) = x^2$ .

Now, considering the function

$\:f\left(x\right)=\left(x-6\right)^2$

According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.

The graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shown below in second figure. It is clear that the graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shifted 6 units to the right as compare to the function $f(x) = x^2$ .

5 0

3 years ago

The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch

____ [38]

Answer:

2.25

Step-by-step explanation:

Given the cost model:

C(l) = l3 – l2 + l + 2.5

l = Length fo package

The length of a package that cost $11.00

11 = l³ - l² + l + 2.5

From the table given :

Length of mail which cost $11 will just be slightly greater Than 2 as the cost of 2 length mail cost 8.50

Taking l as 2.20

2.2^3 - 2.2^2 + 2.2 + 2.50 = 10.508

Taking a slightly higher value :

Put l = 2.25

2.25^3 - 2.25^2 + 2.25 + 2.50 = 11.078

Ww can conclude that the length of mail would be 2.25

5 0

2 years ago

Electric utility poles in the form of right cylinders are made out of wood that costs

olga_2 [115]

The cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1

<h3>How to calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft?</h3>

The given parameters are:

Cost per cubic foot = $11.07 per cubic foot

Height = 40 feet

Diameter = 1.5 feet

Shape = Cylinder

The volume of the cylinder is calculated as:

V = πr^2h

Where

r = Diameter/2

So, we have

r = 1.5/2

Evaluate

r = 0.75

The volume of the cylinder becomes

V = 3.14 * 0.75^2 * 40

Evaluate

V = 70.65

The cost per cubic foot is $11.07 per cubic foot.

So, the cost of a utility pole is

Cost = $11.07 * 70.65

Evaluate

Cost = $782.1

Hence, the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1

Find the midpoint A and B where A has a coordinates (2, 7) and B has coordinates (6,3)​

Find the midpoint A and B where A has a coordinates (2, 7) and B has coordinates (6,3)