Create a equation using this graph?

Answers

Answer 1

Answer: The formula for a straight line is y=mx+b, where m is the slope and b is the y-intercept.

To find out the slope, we use a formula known as rise/run.

Rise means how high a point goes between any two points and run is how far the space is between any two points.

We can see that there are two points give to us. Now we ask our self how high do we have to go to reach the second points’ height. If we count it we go five UP. Meaning that the rise is positive 5.
Now we see how far the two points are. If we count it, we go 1 space the LEFT meaning -1 since going left on a graph means x is getting smaller.

Now that we have he two values, we put them into rise/run

5/-1=-5

So our value of m is -5
Meaning y=-5x+b

We still have our value of b to find and we can do this by choosing any one point on the graph and substituting it into the equation. We know that one of our points is (3,0)

We put these into the equation

y=-5x+b
0=-15+b
b=15

Therefore, y=-5x+15

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What is the rule for finding the ratio of the areas of two objects if you know the scale?

Answers

Answer:

The square of the scale

Step-by-step explanation:

Scaling

Suppose we know the scale of the distances, for example, r=5. It means that for each centimeter in the drawing, it corresponds to 5 cm in the real object being scaled. If we wanted to find the ratio of the areas, we would need to scale both dimensions and the ratio would be the square of the scale factor. In our example, the ratio of the areas would be 25, i.e. each square centimeter would correspond to 25 square centimeters

The rule for finding the ratio of the areas of two objects: The square of the scale

What is the value of the digit 9 in the numbers 913,256

Answers

900,000 or nine hundred thousand

Further explanation

Problem: given 913,256.

Question: what is the value of the digit 9.

This is a problem with place value.

Let's set the place values from 913,256 consecutively as follows.

In the thousands period: 9 hundred thousands, 1 ten thousands, 3 one thousands.
In the units period: 2 hundreds 5 tens 6 ones.

Let us say in word form: nine hundred thirteen thousand two hundred fifty-six.

Hence, the value of the digit 9 in the numbers 913,256 is 900,000 or nine hundred thousand.

- - - - - - -

What is the value of the digit 1 in the numbers 913,256? The answer is 10,000 or ten thousand.

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Notes:

Just as a reminder, the digits in large numbers are in groups of three places, i.e.,

hundreds,
tens,
ones (or units).

The groups are called periods, i.e.,

millions period;
thousands period;
ones or units period.

Commas are typically used to separate the periods.

Learn more

An example of the four types of number form brainly.com/question/4725342
The similar problem brainly.com/question/106975
What 3 digits are in the units period of 4,083,817? brainly.com/question/558692

Keywords: what is the value of the digit 9 in the numbers 913,256, the units period, a large number, standard form, millions, thousands, hundreds, tens, ones, the place value, nine, thirteen, two, fifty-six, number form

Answer:

Face value = 9 and place value = 900,000

Step-by-step explanation:

The given number is 913,256.

We need to find the value of the digit 9 in the given number.

Face value of a digit in a number is equal to the digit.

Place value of a digit in a number can be defined on the basis of its position in the number.

Digit Face value Place value

9 9 9,00,000

1 1 10,000

3 3 3,000

2 2 200

5 5 50

6 6 6

Therefore, the face value of the digit 9 is 9 and place value is 9,00,000.

How do you simplify this expression ? 9•(7-4)^2+9

can you PLEASE show in words and explain your answer i need help!

Answers

Answer:

Step-by-step explanation:

we have:

9*(7-4)^2+9

we subtract 7 and 4: 7-4

we have:

9*(3)^2+9

we know: 3^2=3*3=9

so we have:

9*9 +9

we multiply 9 by 9: 9*9 = 81, so we have:

81+9

Answer:

$\Huge \boxed{90}$

Step-by-step explanation:

To solve this problem, first you have to use the order of operations stands for parenthesis, exponents, multiply, divide, add, and subtract numbers from left to right. Please Excuse My Dear Aunt Sally!

First, parenthesis.

(7-4)=3

9*3²+9

Next, exponent.

3²=3*3=9

9*9+9

Then, multiply numbers from left to right.

9*9=81

Add numbers from left to right.

81+9=90

Therefore, the correct answer is 90.

X^3-4x^2+x+6=0 solve it

Answers

Answer:x=1,-2,and - 3

Step-by-step explanation:

Sorry if the problem turned out bad, I had to use a scanner.

Answers

x is 7.

4(7) - 10 = 18

4 x 7 - 10 = 18

This is how you would solve for x;

4x - 10 =18
4x -10 + 10 = 18 + 10 ( add 10 on both sides)
4x = 28
x = 28 ÷ 4
x = 7

So your correct choice would be; C.7

An architect makes a model of a new house with a patio made with pavers. In the model, each paver in the patio is 1/3 in. long and 1/6 wide. The actual dimensions of pavers are shown: 1/8 ft and 1/4ft. What is the constant of proportionality that relates the length of a paver in the model and the length of an actual paver? What is the constant of proportionality that relates the area of an actual paver?

Answers

Answer:

The constant of proportionality between the actual dimensions of the pavers and the model is 9.

The proportionality constant for the area is 81.

Step-by-step explanation:

To solve this problem, let's transform all quantities to the same units (inches)

The actual dimensions of the pavers are:

$Width = (1)/(8) ft * (12in)/(1 ft) = (3)/(2) in\n\n Length = (1)/(4) ft * (12in)/(1 ft) = 3in$

Then we divide the real dimensions between those of the model:

Width:

$((3)/(2))/((1)/(6))= 9$

Long =

$(3)/((1)/(3))= 9$

Then, the constant of proportionality between the actual dimensions of the pavers and the model is 9.

Actual length = model length * (9)

The "A" area of a paver is the product of its width multiplied by its length.

So:

(real width) * (real length) = ((9) Model width) * ((9) model length)

(real width) * (real length) = $9 ^ 2$ * (Model width) * (model length)

(real area) = 81 * (Model area)

The proportionality constant for the area is 81.

Answer:

The length of a paver in the model and the length is 1/9.

The constant of proportionality that relates the area 1/81.

Step-by-step explanation:

Area of rectangle is

$A=length* width$

Dimensions of paver in model:

$Length=(1)/(3)in$

$width=(1)/(6)in$

Area of model

$A=length* width$

$A=(1)/(3)* (1)/(6)=(1)/(18)$

The area of the model is 1/18 square inches.

We know that 1 ft = 12 inches

Actual dimensions of paver:

$Length=(1)/(4)ft=3 in$

$width=(1)/(8)ft =1.5in$

Actual area is

$A=length* width$

$A=3* 1.5=4.5$

The actual area is 4.5 square inches.

The constant of proportionality that relates the length of a paver in the model and the length of an actual paver is

$\text{Constant of proportionality of length}=\frac{\text{Length of model}}{\text{Actual length}}=(1/3)/(3)=(1)/(9)$

The length of a paver in the model and the length is 1/9.

The constant of proportionality that relates the area of an actual paver is

$\text{Constant of proportionality of area}=\frac{\text{Area of model}}{\text{Actual area}}=(1/18)/(4.5)=(1)/(81)$

The constant of proportionality that relates the area 1/81.

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