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puteri [66]
3 years ago
14

What’s the equation of the line with the given properties passes through (-4,-2) and (-4,5)

Mathematics
1 answer:
Paraphin [41]3 years ago
6 0

Answer:

x = -4

Step-by-step explanation:

Notice that the two points given, share the same x-value even when the y-value changes. This is because the equation is going to be a vertical line at -4 on the x-axis. Being a vertical line, you cannot take its slope using the slope formula of: <em>m = (y2 - y1) / (x2 - x1)</em> because the denominator will result in a 0 and you cannot divide by 0 in mathematics.

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Given g(x) = x² - 6x - 16, which statement is true?
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The correct choice of this question with the given polynomial is <em>"The zeros are </em>-2<em> and </em>8<em>, because the factors of g are (x + </em>2<em>) and (x - </em>8<em>)"</em>. (Correct choice: H)

<h3>How to analyze a second orden polynomial with constant coefficients</h3>

In this case we have a second order polynomial of the form <em>x² - (r₁ + r₂) · x + r₁ · r₂</em>, whose solution is <em>(x - r₁) · (x - r₂)</em> and where <em>r₁</em> and <em>r₂</em> are the roots of the polynomial, which can be real or complex numbers but never both according the fundamental theorem of algebra.

If we know that <em>g(x) =</em> <em>x² -</em> 6 <em>· x -</em> 16, then the <em>factored</em> form of the expression is <em>g(x) = (x - </em>8<em>) · (x + </em>2<em>)</em>. Hence, the correct choice of this question with the given polynomial is <em>"The zeros are </em>-2<em> and </em>8<em>, because the factors of g are (x + </em>2<em>) and (x - </em>8<em>)"</em>. \blacksquare

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

4 0
2 years ago
It’s a new semester! Students are grouped into three clubs, which each has 10, 4 and 5 students. In how many ways can teacher se
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Here we must see in how many different ways we can select 2 students from the 3 clubs, such that the students <em>do not belong to the same club. </em>We will see that there are 110 different ways in which 2 students from different clubs can be selected.

So there are 3 clubs:

  • Club A, with 10 students.
  • Club B, with 4 students.
  • Club C, with 5 students.

The possible combinations of 2 students from different clubs are

  • Club A with club B
  • Club A with club C
  • Club B with club C.

The number of combinations for each of these is given by the product between the number of students in the club, so we get:

  • Club A with club B: 10*4 = 40
  • Club A with club C: 10*5 = 50
  • Club B with club C. 4*5 = 20

For a total of 40 + 50 + 20 = 110 different combinations.

This means that there are 110 different ways in which 2 students from different clubs can be selected.

If you want to learn more about combination and selections, you can read:

brainly.com/question/251701

6 0
2 years ago
Which of the following uses a variable to represent a person, place, or thing that is unknown
maw [93]

Answer:

Mr X

Step-by-step explanation:

his identity is a variable ; it could be anybody of the male gender.

all the other ones denote known designations, i.e, B+ grade

4 0
3 years ago
Can someone help me !
Xelga [282]

Answer:

its b

Step-by-step explanation:

hope this helps

6 0
3 years ago
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What does it mean if diagonals are perpendicular?
rodikova [14]

Answer:

they form a 90 degree angle

Step-by-step explanation:

perpendicular (⊥) always implies 90 degree angles

parallel (║) always implies they never intersect

5 0
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