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Sav [38]
3 years ago
9

3. Solve by completing the square. x^2+8x-9=0​ The solutions are x =

Mathematics
2 answers:
Elina [12.6K]3 years ago
6 0
Step 1: Factor left side of equation.
(x - 1)(x + 9) = 0

Step 2: Set factors equal to 0.
x-1=0 or x+9=0
x = 1 or x = -9

The solutions are x = 1 or x = -9
Lelu [443]3 years ago
3 0

Answer:

is it like exponets

Step-by-step explanation:

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The sum of two numbers is 28. one number is 14 more. find the numbers
ruslelena [56]
The numbers are:  "7 " and "21 " .
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Explanation:
_______________________________________
The numbers are:  "x"  and "x + 14" .

x + (x + 14) = 28 .  Solve for "x" ; and then solve for "x + 14" .
_______________________________________
 → x + (x + 14) = 28 ;

Rewrite as:

 →  x + x + 14 = 28 ;

 →  1x + 1x + 14 = 28 ;

 →  2x + 14 = 28 ; 
  
 Subtract "14" from each side of the equation;
 
 →  2x + 14 − 14 = 28 <span>− 14 ;

</span> →  2x = 14  ;

Divide EACH SIDE of the equation by "2" ;
     to isolate "x" on one side of the equation; & to solve for "x" ;

 →  2x / 2 = 14 / 2 ;

 →  x = 7 . 
_________________________________________
So;  one of the numbers is:  " 7 " .

The other number is:  " x + 14 " ; which equals: " 7 + 14 = 21".

The other number is:  "21 " .
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The numbers are:  "7 " and "21 " .
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A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s
inysia [295]

Answer:

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

we know that

The volume of the square pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base and H is the height of the pyramid

we have

H=6\ units

V=70\ units^{3}

substitute in the formula and solve for B

70=\frac{1}{3}B(6)

B=70/2=35\ units^{2}

step 2

Find the height of the square prism

we know that

The volume of the square prism is equal to

V=Bh

where

B is the area of the base and h is the height of the prism

we have

B=35\ units^{2}

V=70\ units^{3}

substitute in the formula and solve for h

70=(35)h

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3 0
3 years ago
Read 2 more answers
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