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swat32
3 years ago
13

Pls help 25h²- 16t² factorise it​

Mathematics
2 answers:
noname [10]3 years ago
8 0

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

shepuryov [24]3 years ago
5 0

Answer:

(5h - 4t)(5h + 4t)

Step-by-step explanation:

25 h² - 16t² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Then

25h² - 16t²

= (5h)² - (4t)²

= (5h - 4t)(5h + 4t) ← in factored form

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What is the long Division rhyme to help you solve?
Murljashka [212]

Answer:

The steps are more or less the same, except for one new addition:

1. Divide the tens column dividend by the divisor.

2. Multiply the divisor by the quotient in the tens place column.

3. Subtract the product from the divisor.

4. Bring down the dividend in the one's column and repeat it.

Step-by-step explanation:

8 0
3 years ago
Easy variable question pls help
svet-max [94.6K]

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})

2. Simplify

\frac{32}{5(2z-1)} = \frac{8}{3z+1}

3. Cross multiply

32(3z+1) = 5(2z-1) * 8

4. Simplify again (distributive property)

32(3z+1) = 40(2z-1)

5. Distributive property

32(3z+1) -> 96z+32  

40(2z-1) -> 80z-40

96z+32=80z-40

6. Subtract 32 from both sides

96z+32-32 = 80z-40-32

7. Simplify

96z = 80z-72

8. Subtract 80 from both sides

96z-80z=80z-72-80z

9. Simplify

16z=-72

10. Divide both sides by 16

\frac{16z}{16}=\frac{-72}{16}

11. Simplify

z=-\frac{9}{2} -> also = -4\frac{1}{2}

Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!

7 0
3 years ago
Solve: |x+2|=3<br><br> Can someone explain how to do this
katovenus [111]

Hey there!

ORIGINAL EQUATION:
|x + 2| = 3

TRANSLATE:

x + 2 = 3 or x + 2 = -3


SOLVING for: x + 2 = 3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = 3 - 2

CANCEL out: 2 - 2 because it give you 1

KEEP: 3 - 2 because help solve for the current x-value

NEW EQUATION: x = 3 - 2

SIMPLIFY IT!
x = 1


Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\


SOLVING for: x + 2 = -3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = -3 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: -3 - 2 because it help solve for the current x-value

NEW EQUATION: x = -3 - 2

SIMPLIFY IT!
x = -5

Thus, your answer is: x = -5

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\


Therefore, your answer is: x = 1 or x = -5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

6 0
2 years ago
Tully’s buys t-shirts for 15$ each. They sell the t-shirt for 35$ each. What is the percent make up.
Hatshy [7]

Answer: 52%

Step-by-step explanation:

4 0
3 years ago
Anybody help me pls :,)
Korvikt [17]

Answer:

2/3 = 3/2

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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