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lapo4ka [179]
4 years ago
8

Question 1 (1 point)

Mathematics
1 answer:
Natalija [7]4 years ago
3 0

Answer: 20, 50, and 30

Step-by-step explanation:

A fact family includes the same set of numbers. For example relating to to this Using Subtraction and addition. When adding or Subtracting you should get the same set of numbers .

= 50 - 20 = 30

50 - 20 = 30 50 - 30 = 20

50 - 20 = 30 50 - 30 = 2020 + 30 = 50

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A composite figure is created using a square and a triangle. What is the area of the figure?
Hatshy [7]

Answer:

21-9x12

Step-by-step explanation:

3 0
3 years ago
34. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
skad [1K]

Answer:

The linear equation for the line which passes through the points given as (-1,4) and (5,2), is written in the point-slope form as $y=\frac{1}{3} x-\frac{13}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-1,4) and (5,2).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-1,4) and (5,2). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute 2&4 for $y_{2}$ and $y_{1}$ respectively, and $5 \&-1$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows,

m=\frac{2-4}{5-(-1)}$\\ $m=\frac{-2}{6}$\\ $m=-\frac{1}{3}$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-1 for $x_{1}$, and 4 for $y_{1}$ in the above equation and simplify using the distributive property as follows,

y-4=-\frac{1}{3}(x-(-1))$\\ $y-4=-\frac{1}{3}(x+1)$\\ $y-4=-\frac{1}{3} x-\frac{1}{3}$

Step 3 of 3

Simplify the equation further.

Add 4 on each side of the equation $y-4=\frac{1}{3} x-\frac{1}{3}$, and simplify as follows,

y-4+4=\frac{1}{3} x-\frac{1}{3}+4$\\ $y=\frac{1}{3} x-\frac{1+12}{3}$\\ $y=\frac{1}{3} x-\frac{13}{3}$

This is the required linear equation.

5 0
2 years ago
Need help with the problem in the photo.
mr_godi [17]

Answer:

  B.  3x -2y = 10

Step-by-step explanation:

The given line rises three units for each two units of run to the right. Hence its slope is 3/2. A parallel line will also have a slope of 3/2.

Of the equations we can see, selection B has a slope of 3/2. It can be rewritten in slope-intercept form as ...

  3x -10 = 2y . . . . . add 2y-10 to isolate the y-term; next divide by 2.

  y = 3/2x -5 . . . . . the coefficient of x is the slope

4 0
4 years ago
Read 2 more answers
Calculate the mode of the data set below. {3, 7, 9, 2, 5, 3, 4, 6, 1, 0} A. 3 B. 3.5 C. 4 D. 10
Shkiper50 [21]
The mode is the number that appears most often. The answer is A.3.
3 0
3 years ago
Read 2 more answers
Suppose a city with population 800 comma 000 has been growing at a rate of 5​% per year. If this rate​ continues, find the popul
Tom [10]

Answer: 1,833,615

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

A = 800,000 (1+ 5/100)^17

A = 1,833,615  

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
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