MATHEMATICS MIDDLE SCHOOL

How do I use an area model to explain the product of 4.6 and 3?

Answers

Answer 1

Answer:

we know that

The area model for multiplication is a pictorial way of representing

multiplication. In the area model, the length and width of a rectangle

represent factors, and the area of the rectangle represents their product

in this problem

the factors are

$length 4.6 \n wide 3$

decompose the number $4.6$

$4.6=(4+0.6)$

$Area of rectangle=Area rectangle 1+Area rectangle 2\n=(4+0.6)*3\n =4*3+0.6*3\n =12+1.8\n =13.8$

see the attached figure to better understand the problem

therefore

the answer is

the product of $4.6$ and $3$ is equal to $13.8$

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Y = (x - 1)2 – 6
y = 4x + 10
Answer As Corrdinates

PLEASE HELP

Answers

Answer:

(-9, -26)

Step-by-step explanation:

y = (x - 1)2 - 6 and y = 4x + 10

Since they are both y =, you can set the two equations equal to each other:

(x - 1)2 - 6 = 4x + 10

2x - 2 - 6 = 4x + 10

-2 - 6 = 2x + 10

-8 = 2x + 10

2x = -18

x = -9

Check:

y = (x - 1)2 - 6

y = (-9 - 1)2 - 6

y = -18 - 2 - 6

y = -26

y = 4x + 10

y = 4 (-9) + 10

y = -36 + 10

y = -26

The answer to these equations is (-9, - 26). If you graph this, this is the point where the two graphs intersect.

What is 5 as a decimal?

Answers

5 written as a decimal is 0.05 the answer

00.5 i think or its 0.5 i hope im right have a good day! :) Bye

Which equation represents the line shown in the graph below? A. y = 2x - 3

B. y = -3y + 2

C. y = 3y - 2

D. y = -3y - 2

Answers

The equation used to for slope intercept form is commonly used.

y = mx + b

Let us find the y-intercept first.

The place where the line crosses the y axis is 2.

y = mx + 2

Now, find the slope.

Find two points on the line, then solve.

$m = (y2 - y1)/(x2 - x1)$

Alright, I found two points on the line:- (-2,8) and (2, -4)

$m= (-4 - 8)/(2--2)$

m = -12/4
m = -3

The slope is -3. The y-intercept is 2

Lets put them into the equation

y = -3x + 2

Final answer: B. y = -3x + 2

The equation that represents the line shown in the graph is:

B. y = -3x + 2

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed {m = (y_2 - y_1)/(x_2 - x_1)}}$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed {y - y_1 = m ( x - x_1 )} }$

Let us tackle the problem!

From the graph , the line goes through the point ( -1 , 5 ) and ( 0 , 2 ).

Let:

( x₁ , y₁ ) = ( 0 , 2 )

( x₂ . y₂ ) = ( -1 , 5 )

$\texttt{ }$

We can calculate the gradient of the graph by using this following formula:

$m = ( y_2 - y_1 ) / ( x_2 - x_1 )$

$m = ( 5 - 2 ) / ( -1 - 0 )$

$m = 3 / (-1)$

$m = -3$

$\texttt{ }$

Next , we can find the equation of the graph by using this following formula:

$y - y_1 = m ( x - x_1 )$

$y - 2 = -3 ( x - 0 )$

$y - 2 = -3x$

$y = -3x + 2$

$\texttt{ }$

Learn more

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

What is the answer to 15g+18=

Answers

Answer:-18/15

Step-by-step explanation:

15g+18=0

15g=-18

divide both sides by 15

g=-18/15

You are receive 15% of the profit from a car wash. How much money do you receive from a profit of 300$?

Answers

15% = .15
300 * .15= $45

Jill measured the length of her eraser. She wrote 5 on her paper without the unit. Which metric unit of measure should Jill include?

Answers

Jill should include centimeters as part of her answer. 5 centimeters.

it depnds on how long the eraser is. it could be 5 millimeters or 5 kilometers. It may be centimeters or decimeters. i'd go with centimeters
hoped i helped

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