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yulyashka [42]
3 years ago
13

Find the solutions to the equation below. Check all that apply. 25x2 - 100 = 0

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

x = -2, 2

Step-by-step explanation:

this one is easy since we can just use squres to factor

(5x -10) (5x + 10)

we want one positive one and one negative one since there is no middle term.

so basically we finde the solution by setting each part of the binomial = to zero

like this

5x - 10 = 0

+ 10 +10

5x = 10

divide by 5 on both sides of the equal sign

x = 2

and

5x + 10 = 0

-10 -10

5x = -10

divide by 5 on both sides of the equal sign

x = -2

therefore the solutions (AKA the zeroes) are x= -2, 2

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nata0808 [166]

Answer:

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Step-by-step explanation:

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3 years ago
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Solve the system of equations using the substitution method.
LekaFEV [45]

Answer:

solution:  (2, -2)

Step-by-step explanation:

y = 7x - 16,

y = 2(2x - 5)

solving...

7x  - 16  =  2*(2x - 5)

7x - 16 = 4x - 10

7x - 4x = 16 - 10

3x = 6

x = 2

y = 7*2 - 16 = 14 - 16 = -2

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3 years ago
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Please help me this question ​
Kazeer [188]
The answer is b ............
4 0
4 years ago
The ratio of boys to girls in math is 9 to 12. Write this ratio to girls in simplest form as a fraction.​
andre [41]

Answer:

3/4

Step-by-step explanation:

you can make it into a fraction just putting it like this 9/12

well 12 - 9 = 3

so we divide by it

9÷3 = 3

12÷3 = 4

lastly you put these as a fraction

3/4

I hope this helps :)

4 0
3 years ago
2x-4y=8 and 7x-3y=61 solve by substitution
Ratling [72]

Answer:

(10, 3)

Step-by-step explanation:

Solve by Substitution

2x − 4y = 8 and 7x − 3y = 61

Solve for x in the first equation.

x = 4 + 2y 7x − 3y = 61

Replace all occurrences of x with 4 + 2y in each e quation.

Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61

x = 4 + 2y

Simplify 7 (4 + 2y) − 3y.

28 + 11y = 61

x = 4 + 2y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

11y = 33

x = 4 + 2y

 Divide each term by 11 and simplify.

y = 3

x = 4 + 2y

 

Replace all occurrences of y with 3 in each equation.

Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)

y = 3

Simplify 4 + 2 (3).

x = 10

y = 3

The solution to the system is the complete set of ordered pairs that are valid solutions.

(10, 3)

The result can be shown in multiple forms.

Point Form:

(10, 3)

Equation Form:

x = 10, y = 3

4 0
3 years ago
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