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Tema [17]
3 years ago
7

PLEASE HELP ASAP - use completing the square to rewrite the equation in vertex form : y=2x^2 - 12x + 25.

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0
Y=2(x-3)^2 +7 would be the way to rewrite this equation in vertex form.

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Write an equation of the line perpendicular to the given line that contains P.
snow_tiger [21]

Step-by-step explanation:

As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.

=> (1/2)m = - 1

=> m = - 2

Thus, required line is

=> y - (-8) = (-2)(x - 3)

=> y + 8 = -2(x - 3)

5 0
3 years ago
Ali, Ben, and Carla made a total of 20 sandwiches. Ben
nordsb [41]

Of the 20 sandwiches prepared by Ali, Ben and Carla, Ali made a total of A) two sandwiches

Information of the problem:

  • Total of sandwiches: 20
  • Ali = x
  • Ben = 3x
  • Carla = 2*(3x)

To solve this problem we have to state the equation using the information of the problem:

Total of sandwiches = Ali + Ben + Carla

20 = x + 3x + 2*(3x)

20 = x + 3x + 6x

20 = 10x

x = 20 / 10

x = 2

Substituting the (x) value into the information of the problem we get:

Ali = 2 sandwiches

Ben = 3*2 = 6 sandwiches

Carla = 2*(3*2) = 2*6 = 12 sandwiches

<h3>What is an equation?</h3>

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607

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8 0
2 years ago
In Triangle XYZ, x = 5.2 inches, y = 9.8 inches and z=7.1 inches. Find the measure of
Oduvanchick [21]

Answer: 45

Step-by-step explanation:

7 0
3 years ago
The ages of the 32 recruits in police academy are normally distributed with a mean of 27 with a standard deviation of 2. What is
aksik [14]
Since it's a sample size, we use x, as the mean and s= standard deviation
            _
Given:  x =27, s = 2 and total sample = 32.
Probability that a recruit is at least 31 years old?

Let's calculate the Z score :
              _
         X - x              31 - 27
Z = ----------- → Z = -------- → Z = 2 (now look up in the Z score table,
           s                      2


Area (Z=2) =0.9772 , but Z ≥ 2  (at least) , then :
Area (Z≥2) = Area (Z≤ - 2)  = 0.0228

P(≥31)= 0.0228
7 0
3 years ago
Which of these cannot represent the lengths of the sides of a right triangle A.3ft, 4ft, 5ft B.6in, 8in, 10in C.16cm, 63cm, 65cm
Feliz [49]

Answer:

Option D does not represent the lengths of side of right angled ∆

4 0
3 years ago
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