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
____ [38]
3 years ago
15

A student was given the equation x^2+2x-16=0 to solve by completing the square. The first step that was written is shown below.

——> X^2 + 2x=16<—— The next step in the student’s process was x^2 +2x+c =16+c. State the value of c that creates a perfect square trinomial.
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

Answer:

x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}

Step-by-step explanation:

Quadratic Equation Given:

x^2+2x-16=0

x^2 + 2x=16

$c=\left( \frac{b}{2} \right)^2 $

x^2 + 2x+1=16+1

(x+1)^2=17\\

x+1=\pm \sqrt{17} \\

x=-1 \pm \sqrt{17} \\

x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}

You might be interested in
Samantha has 7/3 cups of ice cream to make milk shake.Each shake uses 1/8 cup of ice cream. How many milk shakes can she make?
Travka [436]
18 milkshakes
Hope this helps

7 0
2 years ago
Analyze the problem and complete the statements.
NARA [144]

Answer:

I know this problem is an  

✔ equation

because it has an equals sign.

The t is the  

✔ variable

.

The negative sign is the  

✔ operation

.

The 7 and the 8 are both  

✔ constants

.

Step-by-step explanation: i took the test :( crying cuz im bouta fail

6 0
2 years ago
Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.
GrogVix [38]

Answer:

A=\$150(1.05)^{t}  

Step-by-step explanation:

we know that    

The compound interest formula for this problem is equal to  

A=P(1+r)^{t}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  in years

in this problem we have  

P=\$150\\ r=5\%=0.05  

substitute in the formula above  

A=\$150(1+0.05)^{t}  

A=\$150(1.05)^{t}  

8 0
3 years ago
Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the n
Goryan [66]
Set up a proportion.
2/3 = 12/x. Cross multiply the proportion.
2x = 36. Solve for x.
x = 18.
8 0
3 years ago
Which of the following is a correct equation for the line passing through the point (-3,2)and having slope m=2/3
natta225 [31]

Correct answers are

B = y-2=2/3(x+3)

D = 2x-3y=-12

A = y=2/3x+4

5 0
2 years ago
Other questions:
  • Find the value of 3 + [(-6 + 2) - 32].
    7·2 answers
  • A telephone pole is 15 meters tall and a pigeon is standing on the ground 8 meters from the pole. If the pigeon flies from where
    11·1 answer
  • What is the value of this expression when c = -4 and d = 10?
    6·2 answers
  • Two friends visited a taffy shop. Rachel bought 4 pounds of strawberry taffy and 6 pounds of banana taffy for $44. Next, Pablo b
    7·2 answers
  • Jimmy is trying to factor the quadratic equation $ax^2 + bx + c = 0.$ He assumes that it will factor in the form \[ax^2 + bx + c
    9·2 answers
  • When Margo makes cheese ravioli, she uses both ricotta and mozzarella cheeses to make the filling. She often varies the proporti
    5·1 answer
  • Simplify by combining like terms.<br>1. -5a - 4a + b​
    12·1 answer
  • Mike earned $67.00 in simple interest on an investment of $2800 after 9 months. What is the interest rate?
    8·1 answer
  • Need help on this assignment
    13·2 answers
  • Four times the sum of two times X and six algebraic expression
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!