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BaLLatris [955]
3 years ago
6

Find the solution set for the open sentence with the given replacement set.

Mathematics
2 answers:
jeka57 [31]3 years ago
5 0

Answer:

6

Step-by-step explanation:

I just took the test rn

Artemon [7]3 years ago
4 0

We need to solve the equation: w² + 36 = 12w

⇒ w² - 12w + 36 = 0

⇒ w² - 6w - 6w + 36 = 0 (Breaking 6w such that their product is 9w²)

⇒ w × (w - 6) - 6 × (w - 6) = 0 (Extracting common factors)

⇒ (w - 6) × (w - 6) = 0

⇒ (w - 6)² = 0

⇒ w = 6

Hence, the correct answer is 6 which is the fourth option from the replacement set

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Greatest to least 1.202, 1.29, 1.02
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If you were to list these numbers in order from greatest to least, it would be 1.29, 1.202, 1.02.
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Factor 20a + 45.............................................
Delvig [45]

Answer:5(4a+9)

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Mary is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect? Which coordinates if they do? Negat
Umnica [9.8K]

Answer:

The graphs of the two function will not intersect.

Step-by-step explanation:

We are given a quadratic function f(x).

Also g(x) is given by a set of values as:

 x            g(x)

 1              -1

  2             0

  3              1

As g(x) is a linear function hence we find out the equation of g(x) by the slope intercept form of a line: y=mx+c

let g(x)=y

when x=1 ,   g(x)=-1

-1=m+c----(1)

when x=2   , g(x)=0

0=2m+c------(2)

Hence, on solving (1) and (2) by method of elimination we get:

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Hence, the equation of g(x) is:

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3 0
3 years ago
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A rectangle flower bed is 9 feet wide and 12 feet long .what is the length of the diagonal?​
BigorU [14]

Answer:

15 feet

Step-by-step explanation:

The question talks about;

  • A rectangular flower bed whose dimensions are 12 ft by 9 ft

We are required to determine the length of the diagonal

To answer the question, we need to know the following;

  • All the angles in a rectangle are right angles
  • A diagonal divides a rectangle into two right-angled triangles
  • The dimensions of the rectangle acts as the legs of right angled triangle.

Therefore;

Using Pythagoras theorem;

a² + b² = c²

Where, c is the hypotenuse (in this case the diagonal)

a and b are the shorter sides of the right-angled triangle

Therefore;

c² = 12² + 9²

c² = 144 + 81

   = 225

c = √225

  = 15

Therefore, the length of the diagonal is 15 feet

5 0
3 years ago
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