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jeyben [28]
3 years ago
6

Use the diagram to the right to find the measure of the angle

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0
What? explain or show a picture of the problem:/
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The table below represents a function. Which of the following equations could be its function rule?
worty [1.4K]

Answer:

y=2x-2 is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

y=mx+b

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)

m=\frac{0-\left(-2\right)}{1-0}

m=2

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

y=mx+b

-2 = 2(0)+b

-2=0+b

b=-2

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

y=mx+b

y=2x+(-2)

y=2x-2

Thus, y=2x-2 is the required equation.

Therefore, the second option is true.

3 0
2 years ago
The length of a rectangle is shown below:
KIM [24]

Answer: It would be C(-3 -1) D(1 -1). (Aka the second one)

Step-by-step explanation:

The top of A and B is 4 units. If you count down five units vertically you get to -3, -1 and 1, -1. You need to count down 5 units because its asking you to get 20. So 5 x 4 = 20.

5 0
3 years ago
Read 2 more answers
Find the mean, median, and mode of the data set. Round to the nearest tenth. test scores on a math exam:
irinina [24]

Answer:

Mean:\frac{89+93+76+89+68+80+89+83+88+87+63+86+73+74+67+93+68+95+66+99+78+100 }{22}

Median: 63, 66, 67, 68, 73, 74, 76, 78, 80, 83, 86, 87, 88, 89, 89, 89, 93, 93, 95, 99, 100

\frac{86+83}{2}= 169/2

Mode: 100

Step-by-step explanation:

8 0
2 years ago
Evaluate the expressions
likoan [24]
<h3>Answer:</h3>

1. x + 20

2. 0

3. 2x - 8

4. 95x + 10

5. -9x - 6

6. 4x + y - 5

7. -x + 6y + 5

8. x + y - 15

9. x + 4y + 4

<h3>Step-by-step explanation:</h3>

• When working with variables and numbers, you have to put the variables first (in alphabetical order) and then the numbers.

• To evaluate an algebraic expression, we find the value of the expression when the variable is replaced by a given number.

• To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

• When we are not given a number for the variable in the expression, we have to group like-terms.

  1. <u>Example:</u> 5x + 6 + 3x - 2 - y
  • 1st: group 5x and 3x (add the terms together) = 8x
  • 2nd: group 6 and -2 (add the terms together) = 4
  • 3rd: Since -y has no like-terms, we can't group it = -y
  • Fourth, put the terms in order (variables = alphabetical order and then numbers) = 8x - y + 4

1. 4x + 12 - 3x + 8

  • 4x - 3x = 1x = x
  • 12 + 8 = 20
  • x + 20

2. -8x + 1 + 2x - 1 + 6x

  • -8x + 2x + 6x = -8x + 8x = 0
  • 1 - 1 = 0
  • 0

3. 4x - 3 - 2x - 5

  • 4x - 2x = 2x
  • -3 - 5 = -8
  • 2x - 8

4. 100x + 5 - 5x + 5

  • 100x - 5x = 95x
  • 5 + 5 = 10
  • 95x + 10

5. -4x - 4 - 2 - 5x

  • -4x - 5x = -9x
  • -4 - 2 = -6
  • -9x - 6

6. 2x - 1 + 2x - 4 + y

  • 2x + 2x = 4x
  • -1 - 4 = -5
  • 4x + y - 5

7. 5y - x + 2y - y + 5

  • 5y + 2y - y = 5y + 1y = 6y
  • -x + 6y + 5

8. -15 + 3y - 3x - 2y + 4x

  • 3y - 2y = 1y = y
  • -3x + 4x = 1x = x
  • x + y - 15

9. 4 - 3y + 3x - 2x - y

  • -3y - y = 4y
  • 3x - 2x = 1x = x
  • x + 4y + 4

Hope I helped you, if I did can you please mark me the Brainliest?

4 0
3 years ago
Thanks to a new conservation program, a population with only 200 individuals at the beginning of the year is growing exponential
sukhopar [10]

Answer:

0.3 per year

Step-by-step explanation:

Number of newborn per year: 200*0.5 = 100

Number of death per year:  200*0.2= 40

So, the difference between birth and death = 100-40 = 60 (people)

and the growth rate during the year is: 60/200 = 0.3

<em>Hope this answer will find you well. </em>

5 0
3 years ago
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