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3 years ago

Fill in the blank The vertext of y= x^2-8x+18 is ( , ) PleASE HELP ASAP

Mathematics

1 answer:

AlexFokin [52]3 years ago

7 0

Answer:

Vertex is at (4, 2)

Step-by-step explanation:

to find the 'x' value of the vertex, use 'x = -b/2a'

in this problem, a = 1, b = -8, c = 18

x = -(-8)/2(1)

x = 8/2

x = 4

plug 2 in for 'x' in equation and solve for 'y':

y = 4² - 8(4) + 18

y = 16 - 32 + 18

y = -16 + 18

y = 2

Vertex is at (4, 2)

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You have 2 job offers with the following options. Option 1: You are paid $30

kozerog [31]

Answer:

It takes 6 hours for both to reach an equal paid.

Step-by-step explanation:

You have to form an expressions in terms of x where x determine the number of hours :

Option 1,

$(30 + 9x)

Option 2,

$(14x)

Next, you have to compare it since they want to find out how many hours they work until they reach the same amount :

30 + 9x = 14x

30 = 14x - 9x

30 = 5x

5x = 30

x = 30÷5

x = 6

8 0

3 years ago

Consider isosceles ΔXYZ.

Rom4ik [11]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.

A.) The value of n can be found by equating XY and XZ together,

XY = XZ

9n + 12 = 15n - 6

12 + 6 = 15n - 9n

18 = 6n

n = 3

Hence, the value of n is 3.

The length of different legs of the triangle is,

B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39

C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39

Hence, the length of the legs XY and YZ is equal to 39 units.

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