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nordsb [41]
3 years ago
7

Given: Point B is the midpoint of segment AC and

Mathematics
1 answer:
Feliz [49]3 years ago
5 0

Answer:

Substitution

Step-by-step explanation:

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What number must you add to complete the square x^2+24x=17
Arte-miy333 [17]
We have
x² + 24x = 17                          (1)

Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.

Therefore
x² + 24x = (x+12)² - 144         (2)

Substitute (2) into (1).
(x + 12)² - 144 = 17 
(x + 12)² = 17 +144
(x + 12)² = 161

Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.

8 0
3 years ago
Read 2 more answers
What is its domain? <br> What is its range? <br><br> Write the answer in interval notation.
gavmur [86]

Answers:

Domain = [-3, 3]

Range = [-1, 2]

=============================================

Explanation:

The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.

Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that -3 \le x \le 3 meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".

------------

The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is -1 \le y \le 2 which converts to the interval notation of [-1, 2]

7 0
3 years ago
Which of the following is equivalent to 7-2(x + 2) &lt;-4 - 3(1 - x)?
puteri [66]

Answer:

2 < x

Step-by-step explanation:

7-2(x + 2) <-4 - 3(1 - x)

Distribute

7 - 2x-4 < -4 -3 +3x

Combine like terms

3 -2x < -7+3x

Add 2x to each side

3 -2x+2x< -7+3x+2x

3 < -7+5x

Add 7 to each side

3+7 < -7+7+5x

10 < 5x

Divide each side by 5

10/ 5 < 5x/5

2 < x

4 0
3 years ago
Which points in the scatter plot are outliers?
Tom [10]
Point F and point D are your answers.
5 0
3 years ago
Read 2 more answers
Needs to be graphed and solved please help
il63 [147K]

Answer: here it is graphed and it cant be solved because there are no solutions as seen on the graph!

Step-by-step explanation: hope i helped please mark brainliest!

7 0
4 years ago
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