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Firdavs [7]
3 years ago
9

What are the coordinates of the vertex of the graph of the absolute value function h(x) = 3|x + 5| + 2? A) (5,-2) B) (-5,2) C) (

5,2) D) (2,-5)

Mathematics
1 answer:
saw5 [17]3 years ago
7 0

Answer:

B) Vertex = (-5, 2)

Step-by-step explanation:

Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction

We can find vertex by two methods:

<h3>1) GRAPH</h3>

We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)

<h3>2) FORMULA</h3>

General form of equation of mod function is given by

y = a |x - h| + k

where Vertex = (h, k)

The given equation is

h(x) = 3 |x + 5| + 2

h(x) = 3 |x - (-5)| + 2

where h = -5 and k = 2

So the vertex is:

Vertex = (-5, 2)

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Answer:

1/8 or 0.125

Step-by-step explanation:

Let x be the length of the sides of the square ABCD.

Therefore, the length of CN and CM is x/2.

The area of the triangle MCN is:

A_t = \frac{0.5x*0.5x}{2}=\frac{x^2}{8}

The area of the square ABCD is:

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Thus, the probability that a random point lies in the triangle MCN is:

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Show all your work to receive full credit for this problem. Solve the system of equations using the elimination method. 2a + 3b
Sindrei [870]

Given equations are;<span>
2a + 3b = -1   ..................equation 1
3a + 5b = -2  ....................equation 2</span>

Now multiply equation 1 with (-3)

The equation will be;

-6a -9b = 3 …………………..equation 3

Now multiply equation 2 with (2)

The equation will be;

6a + 10b = -4 ……………..equation 4

Now add equation 3 and equation 4

-6a – 9b = 3

<span>6a  + 10b = -4</span>

<span>------------------------------</span>

0a + b = -1

b = -1

Now put the value of b in equation 1

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Thus the solution is (a,b) = (1,-1)

<span>
</span>

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