1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
k0ka [10]
3 years ago
6

Please Help... Match each equation with its solution set. Tiles a2 − 9a + 14 = 0 a2 + 9a + 14 = 0 a2 + 3a − 10 = 0 a2 + 5a − 14

= 0 a2 − 5a − 14 = 0
Mathematics
1 answer:
Ronch [10]3 years ago
4 0

the question does not present the options, but this does not interfere with the resolution

Part 1) 

a²<span> − 9a + 14 = 0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² − 9a) =-14

Complete the square. Remember to balance the equation by adding the same constants to each side

(a² − 9a+20.25) =-14+20.25

Rewrite as perfect squares

(a-4.5)² =6.25

(+/-)[a-4.5]=√6.25-------- (+/-)[a-4.5]=2.5

(+)[a-4.5]=2.5----> a=7

(-)[a-4.5]=2.5-----> a=2

the answer part 1) a=7 and a=2


Part 2) 

a² + 9a + 14 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² + 9a) =-14

Complete the square. Remember to balance the equation by adding the same constants to each side

(a² + 9a+20.25) =-14+20.25

Rewrite as perfect squares

(a+4.5)² =6.25

(+/-)[a+4.5]=√6.25-------- (+/-)[a+4.5]=2.5

(+)[a+4.5]=2.5----> a=-2

(-)[a+4.5]=2.5-----> a=-7

the answer part 2) a=-7 and a=-2


Part 3) 

a² + 3a - 10 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² + 3a) =10

Complete the square. Remember to balance the equation by adding the same constants to each side

(a² + 3a+2.25) =10+2.25

Rewrite as perfect squares

(a+1.5)² =12.25

(+/-)[a+1.5]=√12.25-------- (+/-)[a+1.5]=3.5

(+)[a+1.5]=3.5----> a=2

(-)[a+1.5]=3.5-----> a=-5

the answer part 3) a=2 and a=-5


Part 4) 

a² + 5a - 14 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² + 5a) =14

Complete the square. Remember to balance the equation by adding the same constants to each side

(a² + 5a+6.25) =14+6.25

Rewrite as perfect squares

(a+2.5)² =20.25

(+/-)[a+2.5]=√20.25-------- (+/-)[a+2.5]=4.5

(+)[a+2.5]=4.5----> a=2

(-)[a+2.5]=4.5-----> a=-7

the answer part 4) a=2 and a=-7


Part 5) 

a² - 5a - 14 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(a² - 5a) =14

Complete the square. Remember to balance the equation by adding the same constants to each side

(a² - 5a+6.25) =14+6.25

Rewrite as perfect squares

(a-2.5)² =20.25

(+/-)[a-2.5]=√20.25-------- (+/-)[a-2.5]=4.5

(+)[a-2.5]=4.5----> a=7

(-)[a-2.5]=4.5-----> a=-2

the answer part 5) a=7 and a=-2

You might be interested in
How many marbles do you need to balance the scale?
Greeley [361]

Answer:

3

Step-by-step explanation:

plz mark brainliest

7 0
3 years ago
Read 2 more answers
What number should be added to this expression to change it into a perfect square trinomial?
Licemer1 [7]
C. 4 because 4 is a perfect square, as well as x^2 and 4x


I hope that helps!
3 0
3 years ago
Read 2 more answers
Find the range and the interquartile range for 28,29,33,28,27,32,30,27
AfilCa [17]

Answer:

33 - 27 =<u> </u><u>6</u>

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I need to know the answers
Lelu [443]
Really dude I don't even no that but maybe someone else
5 0
3 years ago
Pls help this packet is driving me crazy!!
AleksAgata [21]
Proportion A
 The first thing you should know in this case is what the rate of change means.
 The rate of change in a linear equation is given by the slope of the line.
 For a linear equation, the rate of change is constant.
 So we have to:
 y = 9x
 The slope is:
 m = 9
 Proportion B
 The slope of the line will be:
 m = (y2-y1) / (x2-x1)
 Substituting values:
 m = (57.5-34.5) / (5-3)
 m = 11.5
 Answer: 
 The rate of change in proportion A is 2.5 less than in proportion B.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Randy is flying a kite in which the length of the line to the kite is 88 feet long. If the height measurement shown of the kite
    8·2 answers
  • What is the term to this?
    15·1 answer
  • 2 taps A and B can fill a swimming pool in 3 hours. If turned on alone, it takes tap A 5 hours less than tap B to fill the same
    14·1 answer
  • Three shirts and two pairs of pants cost $40. Four shirts and one pair of pants cost $37.50. How much does one shirt cost?
    13·1 answer
  • Please help <br><br> I need the answer
    6·1 answer
  • Christine bought lunch 15 times at school this month and spent a total of $49.50. Each of her lunches cost an equal amount
    11·2 answers
  • Help me please free cookies if you help ✋
    10·2 answers
  • Which equation represents the line passing through points A and C on the graph below?
    9·1 answer
  • What are the solutions of 2|x-6|=10
    9·1 answer
  • 4505 x 219 standard algorithm
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!