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Misha Larkins [42]
3 years ago
13

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

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In the diagram shown, m 1= 50 and m2 = (2x-20)
stepladder [879]

Answer:

x = 35

Step-by-step explanation:

Since m1=m2 :

2x - 20 = 50 \\ 2x = 70 \\ x = 35

6 0
2 years ago
Jimmy johns made 27 sandwiches using 12 pounds of turkey. How much turkey was used per sandwich?
fomenos
You would divide 27 by 12.

27 / 12 = 2.25

So, he used 2.25 pounds per sandwich.
6 0
3 years ago
Read 2 more answers
Another way to express 52+24
Furkat [3]
We know that:  52 + 24 = 76.
You can also express it this way:
52 + 24 = 50 + 2 + 20 + 4 = ( 50 + 20 ) + ( 2 + 4 ) = 70 + 6 = 76
Or ( since 4 * 13 = 52 and 4 * 6 = 24 ):
52 + 24 = 4 * 13 + 4 * 6 = 4 * ( 13 + 6 ) = 4 * 19 = 76. 
4 0
3 years ago
Anne's potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne ne
Ierofanga [76]

Answer:

3.5 pounds for 14 people

Step-by-step explanation:

Given

1 pound = 4 people

Required

Determine the pounds for 14 people

Represent this with x; so, we have:

1\ pound = 4\ people

x = 14\ people

Cross Multiply

x * 4 = 1 * 14

4x = 14

Solve for x

x = 14/4

x = 3.5

<em>Hence, 3.5 pounds for 14 people</em>

6 0
2 years ago
Simplify 24x5y2z10 / 16x3y z5 Show your work.
svetoff [14.1K]

Answer:

3/2 x^2 y z^5

Step-by-step explanation:

24x^5y^2z^10 / 16x^3y z^5

split into pieces

24/16  * x^5/x^3  y^2/y  z^10/z^5

when dividing exponents with the same bases, we subtract the exponents

3/2  x^(5-3)  y^(2-1)  z^(10-5)

3/2 x^2 y^1 z^5

6 0
3 years ago
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