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m_a_m_a [10]
3 years ago
10

Solve x2 = 12x - 15 by completing the square. Which is the solution set of the equation?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

(6-√21,  6+√21)

Step-by-step explanation:

x^2 - 12x = -15

(x - 6)^2 - 36 = -15

(x - 6)^2 = 21

x - 6 = ± √21

x = 6  ± √21

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This is my last question please help me
anastassius [24]

Answer:

Angle ADC = 80 degrees

Step-by-step explanation:

Here, we want to find the measure of angle ADC

mathematically, sum of angles at a point is 360

Thus;

x + 3x + x + 10 = 360

5x + 10 = 360

5x = 360-10

5x = 350

x = 350/5

x = 70

From the diagram;

angle ADC is (x + 10)

so we have; (70 + 10) = 80 degrees

7 0
3 years ago
Two functions are shown in the table below: Function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12 g(x) = x + 2 Complete the table on your ow
zubka84 [21]

Answer:

x   f(x)   g(x)

1    15    3

2    16   4

3    15    5

4    12    6

5    7     7

6    0     8

f(x) = g(x) when x = 5

Step-by-step explanation:

f(x) = -x² + 4x + 12

f(1) = -(1)² + 4(1) + 12 = 15

f(2) = -(2)² + 4(2) + 12 = 16

f(3) = -(3)² + 4(3) + 12 = 15

f(4) = -(4)² + 4(4) + 12 = 12

f(5) = -(5)² + 4(5) + 12 = 7

f(6) = -(6)² + 4(6) + 12 = 0

g(x) = x + 2

g(1) = 1 + 2 = 3

g(2) = 2 + 2 = 4

g(3) = 3 + 2 = 5

g(4) = 4 + 2 = 6

g(5) = 5 + 2 = 7

g(6) = 6 + 2 = 8

3 0
3 years ago
Two sides of a triangle measure 25cm and 35cm. which of the following could be the measure of the 3rd side
Bumek [7]
11 cm? Im not that good at this.. If im correct any of those would work
8 0
3 years ago
At the beginning of a​ walk, roberto and juanita are 7.77.7 miles apart. if they leave at the same time and walk in the same​ di
dem82 [27]
Roberto overtakes Juanita at the rate of (7.7 mi)/(11 h) = 0.7 mi/h. This is the difference in their speeds. The sum of their speeds is (7.7 mi)/1 h) = 7.7 mi/h.

Roberto walks at the rate (7.7 + 0.7)/2 = 4.2 mi/h.
Juanita walks at the rate 4.2 - 0.7 = 3.5 mi/h.


_____
In a "sum and diference" problem, one solution is half the total of the sum and difference. If we let R and J be the respective speeds of Roberto and Juanita, we have
  R + J = total speed
  R - J = difference speed
Adding these two equations, we have
  2R = (total speed + difference speed)
  R = (total speed + difference speed)2 . . . . . as computed above
4 0
4 years ago
Identify the function shown in this graph.. please help
nataly862011 [7]

Answer:

y=-2x-1

Step-by-step explanation:

8 0
3 years ago
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