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3 years ago

The graph shows two lines, A and B.

Mathematics

2 answers:

Greeley [361]3 years ago

5 0

Answer: a) Only one solution.

b) (4,4)

Step-by-step explanation:

Since we have given that

Two lines A and B .

Part A: How many solutions does the pair of equations for lines A and B have?

We can see that at some point the line A is intersected by line B.

That means it has only one solution as it becomes intersecting lines.

That type of lines has unique solution i.e one solution only.

Part B: What is the solution to the equations of lines A and B?

As we can see from the graph that the lines have cut themselves at (4,4).

That means At 4 units of x -coordinate and at 4 units of y-coordinate as well.

miss Akunina [59]3 years ago

3 0

Part A: As we have learned when given a pair of equations, we must always find a Point of Intersection....or, in other words...the solution of the lines given to us. As we know there can be one solution, in this case we view the graph; see where they intersect, and realize that the solution to these lines (Point of Intersection) is at (4,4).

Thus, your answer.

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3 years ago

What is the answer to this question?<br> I am confused.

olga nikolaevna [1]

Answer:

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Step-by-step explanation:

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2 years ago

») What is the volume of a ball with adiameter of 6 centimeters? Use 3.14for (pie)How is the volume of a sphere related tothe vo

Dahasolnce [82]

Volume of a sphere and a cone

We have that the equation of the volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

We have that the radius of a sphere is half the diameter of it:

Then, the radius of this sphere is

r = 6cm/2 = 3cm

<h2>Finding the volume of a sphere</h2>

We replace r by 3 in the equation:

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot3^3 \end{gathered}$

Since 3³ = 3 · 3 · 3 = 27

$\begin{gathered} V=\frac{4}{3}\pi3^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot27 \end{gathered}$

If we use π = 3.14:

$\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=\frac{4}{3}\cdot3.14\cdot27 \\ \downarrow \\ V=4.18\bar{6}\cdot27 \end{gathered}$

Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:

4.18666... ≅ 4.19

Then, we have that:

$\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=4.19\cdot27 \\ =113.13 \end{gathered}$

Then, we have that:

<h2>Finding the volume of a cone</h2>

We have that the volume of a cone is given by:

$V=\frac{1}{3}\pi r^2h$

where r is the radius of its base and h is the height:

Then, in this case

r = 3

h = 6

and

π = 3.14

Replacing in the equation for the volume:

$\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \end{gathered}$

Then, we have:

3² = 9

$\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot9\cdot6 \\ V=\frac{1}{3}\cdot3.14\cdot54 \\ V=56.52 \\ \end{gathered}$

Answer: the volume of the cone that has the same circular base and height is 56.52 cm³

5 0

9 months ago

If f ( x ) = 3x² - 5x + 7 , Show that f ( -1 ) = 3 f ( 1 ) .<br><br><br><br><br>Tysm :')

Lelechka [254]

Solution :

3x² - 5x + 7

put x = -1

3(-1)² - 5(-1) + 7

3(1) + 5 + 7

3 + 12

Now, put x = 1

3(1)² - 5(1) + 7

3(1) - 5 + 7

3 + 2

here :

f(-1) = 15

f(-1) = 3(5)

f(-1) = 3 f(1)

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2 years ago

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skelet666 [1.2K]

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I hope I helped! =D

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2 years ago

Read 2 more answers