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2 years ago

What is the Slope of the line that passes through points (4, -2) and (3, 1)?

Mathematics

2 answers:

Sedbober [7]2 years ago

6 0

Answer:

-3

Step-by-step explanation:

slope formula is y2-y1 over x2-x1

if we plug in the values and solve, that gets you -3.

lakkis [162]2 years ago

5 0

Answer:

-3

Explanation:

1-(-2) divided by 3-4

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The sum of the circumference of a circle and the perimeter of a square is 24. Find the dimensions of the circle and square that

lyudmila [28]

Answer:

The radius of the circle is $r=1.68\ units$

The length of the square is $x=3.36\ units$

Step-by-step explanation:

we know that

The circumference of a circle is equal to $C=2\pi r$

The perimeter of the square is equal to $P=4x$

$24=2\pi r+4x$

Simplify

$12=\pi r+2x$

$x=(12-\pi r)/2$ -----> equation A

The area of a circle is equal to $A=\pi r^{2}$

The area of a square is $A=x^{2}$

The total area is equal to

$At=\pi r^{2}+x^{2}$ -----> equation B

substitute equation A in equation B

$At=\pi r^{2}+[(12-\pi r)/2]^{2}$

This is a vertical parabola open upward

The vertex is the minimum

The x-coordinate of the vertex is the radius of the circle that produce a minimum area

The y-coordinate of the vertex is the minimum area

Solve by graphing

The vertex is the point (1.68, 20.164)

see the attached figure

therefore

The radius of the circle is

$r=1.68\ units$

Find the value of x

$x=(12-\pi r)/2$

assume

$\pi =3.14$

$x=(12-(3.14)*(1.68))/2$

$x=3.36\ units$

8 0

3 years ago

How many solutions does this system have?<br><br> Y= 3x+2<br> Y= 3x-6

Anika [276]

Answer:

None

Step-by-step explanation:

They have the same slope so they are parallel and will never intersect.

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Answer:

It means the system does not have a solution

Step-by-step explanation:

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2 years ago

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Savatey [412]

Answer:

find the value of x or do

(4x)2

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3 years ago

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Which bar diagram represents the equation 5x + 7.5 = 15? A bar diagram. The top box contains 5 x. The bottom boxes contain 7.5 a

photoshop1234 [79]

Answer:

Option C.

Step-by-step explanation:

The top box must ALWAYS contain the answer to the problem.

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3 years ago

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