5r-8.53 whenr =12 and s =4

Answer:

Option 4: 45 units is the correct answer

Step-by-step explanation:

Let [tex]P_1[/tex] be the perimeter of Pentagon and

Let P2 be the perimeter of Triangle

So,

[tex]P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)[/tex]

In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.

So,

[tex]P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20[/tex]

Putting x = 20 in 2nd perimeter

[tex]P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45[/tex]

As both the perimeters are same, the perimeter of pentagon will also be 45 units.

Hence,

Option 4: 45 units is the correct answer

Answer:

3.75

Step-by-step explanation:

Follow PEMDAS

P = parentheses so first it will turn to 30 divided by 3 times 5

E = exponents we dont have any

M = multiplication 30 divided by 8

D = division = 3.75

Answer:

D

Step-by-step explanation:

You know the slope has to be -5, because in the equation it says -5x. You know the y intercept has to be a number on the y axis, and since it says the y intercept is 4 in the equation, you would know its (0,4).

Answer:

2. 2

3. 4

4. 3/4

5. 5/12

6. 6

7. 1/2

Let me = slope

m = (18 - (-2))/(4 - 0)

m = 20/4

m = 5

We now plug slope 5 and one of the given points into the point-slope formula.

y - y_1 = m(x - x_1)

y - 18 = 5(x - 4)

y - 18 = 5x - 20

y = 5x - 20 + 18

y = 5x - 2

Done!

Answer:

$2000

Step-by-step explanation:

The value of the savings account is

v(m) = 2000(1.005)^m

where m is the number of months.

Compare with the formula for compound interest,

F = P(1 + r)^(nt)

where P = principal amount invested.

Answer: $2000

Answer:

Undefined because the x values are the same

Step-by-step explanation:

Slope: y2 - y1 / x2 - x1

Slope: 7 - 10 / -3 - - 3

Slope: -3 / -3 + 3

Slope: -3 / 0

Slope: undefined

Answer:

1. x= 3y+6/2

y=2/3x-2

2.x=−y+3

y=−x+3

Step-by-step explanation:

1. Let's solve for x.

y=2/3x-2

Step 1: Flip the equation.

2/3x-2=y

Step 2: Add 2 to both sides.

2/3x-2+2=y+2

2/3x=y+2

Step 3: Divide both sides by 2/3.

2/3x/2/3=y+2/2/3

x= 3y+6/2

Let's solve for y.

y=2/3x-2

2. Let's solve for x.

y=−x+3

Step 1: Flip the equation.

−x+3=y

Step 2: Add -3 to both sides.

−x+3+−3=y+−3

−x=y−3

Step 3: Divide both sides by -1.

-x/-1=y-3/-1

x=−y+3

Let's solve for y.

y=−x+3

here are two graphs if you need a better explanation

HOPE THIS HELPS

Answer:

1 and 4 parallel lines are straight

Step-by-step explanation:

The required simplified solution of the given expression is (√2 + √5).

Given that, to simplify the expression √3(√6+√15).

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= √3(√6+√15)
= √3×√6 + √3 ×√15
= √3×√3×2 + √3 ×√3×5
= √3×√3(√2 + √5)
= 3(√2 + √5)

Thus, the required simplified solution of the given expression is (√2 + √5).

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Answer:

B.

Step-by-step explanation:

Any point in the highlighted (red) region will be in our solution set.

Note that our line is dotted. Thus, any points on the line is not in our solution set.

So, we can simply go through each point and check.

A is on the line. So, A is not a solution.

B is within the red region. Hence, B is our solution.

C is on the line. So, C is not a solution.

And D is not in the red region. So, D is not a solution.

Therefore, our answer is B.

Answer:

rational bc it's a decimal

Step-by-step explanation:

Answer:

it depends on what you believe, butttt i would say science

Answer: Science.

Step-by-step explanation: In my opinion science makes more sense than religion because it has proof, but I do not have anything against religious people.

Answer:

ITS A!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!=)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just put A :)

Answer:

I belive it is D because it has an arrow which would make it greater than or equal to

Answer:

you should find the value of 112°

Step-by-step explanation:

3x-9=2x+73

3x-2x=73+9

x=82

Answer:

x = 83

Step-by-step explanation:

3x-9 / 2 = x + 37

1. multiply both sides by 2 to get rid of the fraction

3x - 9 = 2x + 74

2. move the variable to one side and the numbers to another side

3x - 2x = 74 + 9

x = 83

The correct option is,

⇒ Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Since, We know that;

A function is "even" when f(x) = f(−x) for all x.

Now, Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.

So, If point (6, 8) is one the points on the graph of f(x),

Then, f (6) = 8

And, since function is even, you can state that;

⇒ f(-6) = f(6) = 8.

This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.

Thus, The correct option is,

⇒ Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

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Answer:

The least common multiple 150 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.

Answer:

150

Step-by-step explanation:

25*6=150

10*15=150

30*5=150

Answer:

b: 3 cm

Step-by-step explanation:

just set up a proportion 4.5/3 = x/2 and solve for x by multiplying across and getting the equation 3x=9 and then divide by 3.

Answer:

376.52 is the volume of the composite figure.

Step-by-step explanation:

Let's break this into two shapes.

A rectangular prism and a hemisphere

Volume Formula for rectangular prism: l • h • w

Volume Formula for hemisphere: (2/3)πr^3

l • h • w

10 • 4 • 8

40 • 8

320

Rectangular Prism: 320

(2/3)πr^3

2/3(3)^3

2/3(3.14)(27)

2.09333333333(27)

56.52

Hemisphere: 56.52

320 + 56.52 = 376.52

The volume of the composite figure is 376.52  [tex]cm^{3}[/tex].

The total space occupied by a hemisphere in a 3-dimensional region is called its volume. Geometrically a hemisphere is an exact half of a sphere.

Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.

Volume of cuboid = Length × Width × Height

Given

Radius of hemisphere r = 3

Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

Volume of hemisphere V1= [tex]\frac{2}{3} \pi r^{3}[/tex]

= [tex]\frac{2}{3} .(3.14).(3)^{3}[/tex]

= 56.52 [tex]cm^{3}[/tex]

Volume of cuboid V2 = Length × Width × Height

= 10 × 8 × 4

= 320 [tex]cm^{3}[/tex]

The volume of the composite figure V = V1 + V2

V =  56.52 +  320

V = 376.52  [tex]cm^{3}[/tex]

Hence, the volume of the composite figure is 376.52  [tex]cm^{3}[/tex].

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The lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation of the lines:

y = 3x + 2 and y = 3x - 3

The slope of the line:

y = 3x + 2

y = mx + c

m = 3

The slope of the line:

y = 3x - 3

y = MX + C

M = 3

m = M

The slopes of the line are the same.

Thus, the lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.

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Answer:

m = 0

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points given from the graph.

Point (0, 2)

Point (7, 2)

Step 2: Find slope m

Any horizontal line will have a slope of 0.

And we have our final answer!

Answer:

Well all you have to do is answer questions, i have 2 hundred more points until I'm an expert but i have 20 brainliests!

Step-by-step explanation:

Answer:

I can help you, In a few minutes I may post some questions so I'll let you answer em- the thing is, two people need to answer for me to give brainliest so itll take a bit.

Step-by-step explanation:

Mind answering some stuff I have in the meantime?

Answer:

rational

Step-by-step explanation:

This can be written as a fraction.

0.31311311131111/0.100000000000000

Hope this helps :D

Answer:

Irrational

Explanation:

doesn't terminate

doesn't repeat

Answer:

y=120x

Step-by-step explanation:

You can just divide all of the points (y/x) and they all equal to 120. And when you add it to the equation its y=120x