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kramer
2 years ago
13

Find the value of x if a, b, and c are collinear points and b is between a and c. ab=x,bc=x 2,ac=14

Mathematics
1 answer:
Aleks04 [339]2 years ago
8 0

The value of x is 7 for the given collinear points a, b, and c as b is the mid-point of ac.

According to the given question.

a, b, and c are collinear points. Which means all points a, b, and c lie in a same plane.

b is lies between a and c.

Also,

ab = x, bc = x and ac = 24.

Since, b lies in between a and c, and it is given that ab = x and bc = x.

Which means b is the mid point of ac.

Therefore,

ab + bc = ac

Substitute the values of ab, bc and ac in the above equation.

⇒ x + x = 14

⇒ 2x = 14

⇒ c = 14/2

⇒ c = 7

Therefore, the value of x is 7.

Find out more information about mid-point and collinear points here:

brainly.com/question/1593959

#SPJ4

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Write an equation for the polynomial graphed below
Anit [1.1K]

The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).

<h3>How to factor the polynomial?</h3>

From the graph, the zeros of the polynomial of given graph are:

x = -3

x = 1

x = 4

Equate the above equations to zero

x + 3 = 0

x - 1 = 0

x - 4 = 0

Multiply the equations

(x + 3)(x - 1 )(x - 4 ) = 0

Express as a function gives;

y = (x + 3)(x - 1 )(x - 4 )

Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .

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6 0
2 years ago
Martin has 28 basketball ball cards. Martin has 12 times as many basketball cards as Josie. Josie has 29 more cards than kal. Ho
Alona [7]

Answer:

28...?

Step-by-step explanation:

Well, the question states that Martin has 28 basketball cards at the start of the question, and asks how many he has at the end. Martin still has 28 cards. Unless part of the question was cut, then this is your answer.

7 0
3 years ago
What is the vertex of the graph of y = 1/3 (x-9)2 + 5 Question 1 options: (9,5) (3,3) (3,5) (-9,5)
svlad2 [7]
ANSWER

The vertex of the graph of
y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
is

(9,5)



EXPLANATION

The vertex form of a parabola is given by

y = a {(x - h)}^{2}  + k

where
V(h,k)
is the vertex of the parabola.


The function given to us is

y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
This is already in the vertex form.


When we compare this to the general vertex form, we have,

a =  \frac{1}{3}

h = 9
and

k = 5


Therefore the vertex of the parabola is

V(9,5)

Hence the correct answer is option A.

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3 years ago
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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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