All categories

3 years ago

Solve the equation by completing the square: z^2 - 2z = 323

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

3 0

Answer: A. -17 , 19

Step-by-step explanation:

Move all terms to one side.

z^2-2z-323=0

z^2 −2z−323=0

Factor : z^2-2z-323

z^2−2z−323.

(z-19)(z+17)=0(z−19)(z+17)=0

Solve for z.

z=19,−17

You might be interested in

You gave your friend a short term 1.5 year loan of $30,000 at 2% compounded annually.

ElenaW [278]

Answer: $30,904.49

Step-by-step explanation:

I’m not sure if I did this right but it was the same was as the other question

4 0

3 years ago

5x = 40 what does the x going to equal

storchak [24]

start by diving 5 from each side so you are lrft with x on the left side, 40/5=8. now our equation is x=8 and that's the answer!

8 0

2 years ago

Read 2 more answers

Shanice's car is traveling 10 miles per hour slower than twice the speed of Brandon's car. She covers 93 miles in 1 hour 30 minu

joja [24]

Shanice's rate: 93 / 1.5 = 62 miles per hour

she is 10 miles slower than twice the speed of Brandon

62 +10 = 72

72/2 = 36

Brandon is driving 36 miles per hour

3 0

3 years ago

HELPPPPPP this is due tonight!!!!

laiz [17]

Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Step-by-step explanation:

We proceed to solve algebraically and explain each step:

1) $4\cdot x +1 +x + 3 = -11$ GIven

2) $4\cdot x +x +1 + 3 = -11$ Commutative property

3) $(4+1)\cdot x +4 = -11$ Distributive property/Definition of addition

4) $5\cdot x +4 = -11$ Definition of addition

5) $5\cdot x +4 -4 = -11-4$ Compatibility with addition

6) $5\cdot x = -15$ Existence of additive inverse/Modulative property

7) $\frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15)$ Compatibility with multiplication

8) $x = - 3$ Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

6 0

3 years ago

Help me once more please

Damm [24]

The graph that Franco is Incorrect
It suppose to be from left to right

5 0

3 years ago