1/2(x − 2) = 4x − 9/2x − 4 What is the solution?

Answer:

10

Step-by-step explanation:

The triangle in the pic is a right-angled triangle. And in right-angled triangles , Pythagorean Theorem. So , according to Pythagorean Theorem

[tex]Base^{2} +Perpendicular^{2} =Hypotenuse^{2}[/tex] where 'c' is the hypotenuse and 'a' & 'b' are the other two sides.

Using Pythagorean Theorem ,

[tex]Hypotenuse^{2} = 8^{2} +6^{2} =64+36=100\\=>Hypotenuse = \sqrt{100} =10[/tex]

Answer:

Step-by-step explanation:

Term Definition

Linear regression line The line that goes through a set of points either exactly or approximately.

Difference The result of a subtraction operation is called a difference.

The dimensions of the cropped photo will be 9 inches by 9 inches

Step-by-step explanation:

From the formula of area of square

Length x width = area

[tex]x^{2}[/tex] = area

But we are given the equation as

[tex](x+2)^{2}[/tex] = 121

The equation gives the measures of the cropped dimension as "x". This means we need to solve the equation

[tex](x+2)^{2}[/tex] = 121

[tex]x^{2}[/tex] + [tex]2^{2}[/tex] + 2(x) (2) = 121

[tex]x^{2}[/tex] + 4 + 4x = 121

[tex]x^{2}[/tex]  + 4x -117 = 0

[tex]x^{2}[/tex]  + 13x - 9x -171 = 0

x( x+13) -9 (x+13) = 0

(x+13)(x-19) =0

This means

x = 9, -13

Since, dimension can't be negative. So, the measure of dimension would be 9 inches by 9 inches

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The question is incomplete. Therefore, complete question is

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation [tex](x+2)^{2}[/tex] = 121, x represents the side measure of the cropped photo. What are the dimensions of the cropped photo

8 inches by 8 inches

9 inches by 9 inches

12 inches by 12 inches

13 inches by 13 inches

The value of AG is 37cm

From the diagram shown, we have that;

But;

AG + GB = AB

Let's substitute the values

3x + 3 + 11x + 6 = 166

collect like terms

3x + 11x + 9 = 166

14x = 166 - 9

14x = 157

Make 'x' the subject

x = 157/ 14

x = 11. 2cm

But line AG = 3x + 3 = 3 ( 11. 2) + 3 = 33. 6 + 3 = 37cm

Thus, the value of AG is 37cm

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Answer:

Mr. Clean has a slightly better buy

Step-by-step explanation:

Answer:

147+25=172

Step-by-step explanation:

Have a nice day!

Brainliest me pls

Answer:

A = 147

Step-by-step explanation:

A + 25 = 172

subtract 25 from both sides

A + 25 - 25 = 172 - 25

A = 147

Answer:

(3.2 × 10²) times as large

Step-by-step explanation:

First, set up an equation:

(8 × 10³) ÷ (4 × 10²)

Using the laws of exponents, we know that when two exponents with the same base are being divided by each other, the exponents subtract from each other:

(8 × 4) × (10³⁻²) = (32 × 10¹)

Move the decimal one space to the left, which increases the exponent by 1:

(3.2 × 10²)

Hope this helps!

Answer:

60 years

Step-by-step explanation:

Answer:

20% or .20

Step-by-step explanation:

There are a total of 10 cards in the sample.

Of these 10 cards there are 2 of them with the number 8 on them.

To find the probability, you divide the part (2) over the whole (10)

2/10 = .20

Then you can multiply by 100 to find the percent

(.20)(100) = 20%

Therefore, if the teacher were to select a card at random there is a 20% chance that it has the number 8 on it.

I hope this helps!

- Kay :)

Answer:

1) not a function

2)function

3)not a function

4)function

It will take them 2 hours and 22 minutes to working together.

Here,

Joan paint the porch in 5 hours.

Jan can take 4 hours to paint the porch.

We have to find the time to take them working together.

What is Fraction?

A fraction simply tells us how many parts of a whole we have.

Now,

Let x is number of hours to take them working together.

Then, 1/x is how much of the porch they can paint together in 1 hour.

Joan paint the porch in 5 hours.

Then, Joan can take 1 hour to paint the 1/5 part of porch.

Jan can take 4 hours to paint the porch.

Then, Jan can take 1 hour to paint the 1/4 part of porch.

To find how much of the porch they can paint together in 1 hour, we can add together;

[tex]\frac{1}{5}+ \frac{1}{4} = \frac{1}{x} \\\\\frac{4+5}{20} = \frac{1}{x} \\\\\frac{9}{20} = \frac{1}{x}\\\\x = 20.22[/tex]

Hence, It will take them 2 hours and 22 minutes to working together.

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Using different scenerios and situations from real life, we can create as many world problems as we want.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is a task to write a word problem including a submarine, depth of 60 feet and a time interval.

A world problem including submarine, depth of 60 feet and a time interval can be written as -

A submarine using SONAR detected a sea floor 60 ft beneath it. It was observed that time taken by sound pulse to to reach the sea floor and reflect back to submarine is 3 sec. Calculate the speed of sound pulse transmitted by the SONAR.

Therefore, using different scenerios and situations from real life, we can create as many world problems as we want.

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Answer:  

member = 15

nonmember = 55

Step-by-step explanation:

m = member, n= nonmember

1m+6n=345

2m + 2n =140 (divide all by 2 )

m + n = 70

m= 70 - n

70-n + 6n =345

70 + 5n = 345

5n = 345-70

5n = 275

n = 275÷5

n = 55

m = 70 - 55 = 15

m=15

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

10 1/2 / 7/8= 12

A’B’C’D' will be a reflection of figure ABCD about line f

A reflection over a line l(notation l) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from the line of reflection as the original point but is on the opposite side of the line.

reflection of point D will be D' if the distance between point D and line f is the same as the distance between point D' and line f

let us consider point (10,0) on line f for our convenience. we will calculate each distance from this point (10,0)

distance is 2 units from both the points D and D'

reflection of point C will be C' if the distance between point C and line f is the same as the distance between point C' and line f

distance of point C from line f= distance of point C' from line f

[tex]\sqrt{(14-10)^2 + (-2-0)^2} = \sqrt{(10-8)^2+ (4-0)^2} =\sqrt{20}[/tex]

similarly, point A and B will also be equidistant from line f

therefore,  A’B’C’D' will be a reflection of figure ABCD about line f.

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Answer:

I can answer the question, but represent in what? Do u got a picture or example or sum?

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

(8)

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (8, 2)

m = [tex]\frac{2-2}{8+3}[/tex] = [tex]\frac{0}{11}[/tex] = 0

A slope of zero indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- 3, 2) and (8, 2) with y- coordinates 2, thus

y = 2 ← equation of line

(9)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 3, 2)

m = [tex]\frac{2-1}{-3+6}[/tex] = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 2) , then

2 = - 1 + c ⇒ c = 2 + 1 = 3

y = [tex]\frac{1}{3}[/tex] x + 3 ← equation of line

Answer:

yes

Step-by-step explanation:

use the vertical line test

Answer:

nine point four two

Step-by-step explanation:

have a nice day

Answer:

nine and forty-two hundredths

Step-by-step explanation:

Answer:

It is an exponential function

Step-by-step explanation:

We have the following function:

f (x) = 3/8 (4) ^ x

The function is of the form:

f (x) = A (b) ^ x

Where,

A: initial amount

b: growth factor (b> 1)

x: time variable.

Answer:

f (x) = 3/8 (4) ^ x

It is an exponential function of the form:

f (x) = A (b) ^ x

Answer:

746

Step-by-step explanation:

Based on the given conditions, formulate: 1352 - 606

Calculate the sum of difference: 746

Answer: 746

Answer:

pi/2 ... 2pi -square root 9..... and then pi +3

Step-by-step explanation:

pretty much the opposite of what it is now

Answer:

2/3

Step-by-step explanation:

-7 - -1  = -6

-5 - 4 = -9

-6/-9= 2/3

Answer:

[tex]m=\frac{2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-5, -7)

Point (4, -1)

Step 2: Find slope m