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mamaluj [8]
2 years ago
5

What is 2.1 times 3.2 find the missing partial products HELP.​

Mathematics
1 answer:
vredina [299]2 years ago
8 0

Given:

The area model for 2.1\times 3.2.

To find:

The value of 2.1\times 3.2 and the missing values in the area model.

Solution:

2.1 can be written as 2 and 0.1 on the left side of the area model.

3.2 can be written as 3 and 0.2 on the top of area model.

Area of the four parts of the area model are:

2\times 3=6

2\times 0.2=0.4

0.1\times 3=0.3

0.1\times 0.2=0.02

The complete area model is shown below.

After adding all areas of the area model, we get

6+0.4+0.3+0.02=6.72

Therefore, the value of 2.1\times 3.2 is 6.72 and the missing values of the area model are 0.3 and 0.02 respectively.

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What are the domain, range, and asymptote of h(x) = (0.5)x – 9?
Rzqust [24]

Let's solve for h

hx = 0.5x - 9

Step 1: Divide both sides by x.

hx/x = 0.5x - 9/ x

Answer = h = 0.5x - 9/ x

8 0
2 years ago
Write the equation of each line using the given information.
Marat540 [252]

A. The equation of the line is y = -0.2 x + 1.9

B. The equation of the line is y = 4 x + 3

C. The equation of the line is y = -8

D. The equation of the line is y = 2 x + 4

Step-by-step explanation:

The slope-intercept form of the equation of a line is y = m x + b, where

m is the slope of the line and b is the y-intercept

  • The formula of the slope of a line which passes through points (x_{1},y_{1}) and (x_{2},y_{2}) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • The slope of a horizontal line whose equation y = b is zero
  • The y-intercept means the line intersect the y-axis at point (0 , b)

A.

∵ The line passes through points (2 , 1.5) and (-5 , 36.5)

∴ x_{1} = 2 and x_{2} = -5

∴ y_{1} = 1.5 and y_{2} = 36.5

∵ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∴ m=\frac{-5-2}{36.5-1.5}=\frac{-7}{35}=\frac{-1}{5}

∴ m = -0.2

∵ y = m x + b

∵ m = -0.2

∴ y = -0.2 x + b

- To find b substitute x and y in the equation by the coordinates of

  one of the two given points

∵ x = 2 and y = 1.5

∴ 1.5 = -0.2(2) + b

∴ 1.5 = - 0.4 + b

- Add 0.4 to both sides

∴ 1.9 = b

∴ y = -0.2 x + 1.9

The equation of the line is  y = -0.2 x + 1.9

B.

∵ m = 4

∵ y = m x + b

∴ y = 4 x + b

∵ Point (3 , 15) lies on the line

- To find b substitute x and y in the equation by the coordinates

  of the given point

∵ x = 3 and y = 15

∴ 15 = 4(3) + b

∴ 15 = 12 + b

- Subtract 12 from both sides

∴ 3 = b

∴ y = 4 x + 3

The equation of the line is y = 4 x + 3

C.

∵ The line has the same slope of line y = 1

- The line whose equation y = 1 is a horizontal line

∵ The slope of the line y = 1 is zero because it is a horizontal line

∴ m = zero

∵ y = m x + b

∴ The equation of the line is y = (0)x + b

∴ y = b

∵ The line passes through point (3 , -8)

- In the horizontal line the y-coordinates of all point lie on the line

  are equal

∴ The line intersect the y-axis at point (0 , -8)

∴ b = -8

∴ y = -8

The equation of the line is y = -8

D.

∵ m = 2

∵ y-intercept is at point (0 , 4)

∴ b = 4

∵ y = m x + b

∴ y = 2 x + 4

The equation of the line is y = 2 x + 4

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

6 0
2 years ago
Each<br>angles<br>of<br>an equilateral<br>traingle is 60, proove it<br>experimentally<br>​
MArishka [77]

Answer:

True

Step-by-step explanation:

We knwo this is true because a triangle angle theorem is that the sum of the angles in a triangle is equal to 180 degrees.

Since tri = 3 then,

=> 180/3 = 60

Equal = same --> def. of equilateral triangle

Thus, we know it is true that in an equilateral triangle, each angle is 60 degrees

Hope this helps!

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3 years ago
What is 0.17 repeating as a simplified fraction?
Nutka1998 [239]

Answer:

If you multiply 0.17 by 100 , you get 17 . Similarly, if you divide 17 by 100 , you get 0.17 . Thus, the fraction form for 0.17 is 17100 .

Step-by-step explanation:

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Solve the equation. show all work<br><br> 18^(r-10)=93
Elina [12.6K]
Recall the logarithm rules :

a^y = x  is the same as log_a x = y

In this case, 

a = 18
y = r - 10
x = 93

So,

18^ (r-10) = 93

is the same as

log_18  93 = r - 10

Solve for r to get :

10 + log_18  93 = r
3 0
3 years ago
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