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MrRissso [65]
3 years ago
9

Which of the expressions below can be factored using the difference of squares method?

Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0
The expression that can be factored using the difference of squares method:
C) 100x^{2}-49y^{2}
Factorization:
100x^{2}-49y^{2}  = (10x+7y)*(10x-7y)
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The curve with equation y=ax^2+bx has a gradient of 3 at the point (2,-2). Find the values of a and b.
Airida [17]

Answer:

a = 2, b = - 5

Step-by-step explanation:

Given

y = ax² + bx

\frac{dy}{dx} is the measure of the slope at x = a

Differentiate each term with respect to x using the power rule

\frac{d}{dx}(ax^{n} ) = nax^{n-1}

\frac{dy}{dx} = 2ax + b, hence

2ax + b = 3 at (2, - 2)

Substitute x = 2 into \frac{dy}{dx}

4a + b = 3 → (1) and substitute x = 2 into y

4a + 2b = - 2 → (2)

Subtract ( 1) from (2)

b = - 2 - 3 = - 5

Substitute b = - 5 into (1)

4a - 5 = 3 ( add 5 to both sides )

4a = 8 ( divide both sides by 4 )

a = 2

7 0
3 years ago
Would You Rather? Snack Attack!
irga5000 [103]

Answer:

I would buy 8 bags of everyone's favorite snacks because it's cheaper and everyone gets what that want.

Step-by-step explanation:

This is just my opinion...Hope it helps

7 0
2 years ago
Sue has 20 biscuits in a tin.
cluponka [151]

Answer:

25

Step-by-step explanation:

25 because when you add 12 and 5 then subract the numerator you get 25

3 0
3 years ago
Tom went on a bike ride to the store 3 miles away. If it took Tom 12 of an hour to get there and 23 of an hour to get back, what
anzhelika [568]

Answer: 0.1714 miles / hour

Step-by-step explanation:

Given the following :

Distance to the store = 3 miles

Time taken to get to store = 12 hours

Time taken to return = 23 hours

The average rate of speed for the trip =?

Average Speed = total distance traveled / total time taken

Total distance traveled = 2 × 3 miles = 6 miles

Total time taken = 12 + 23 = 35 hours

Average speed = 6 miles / 35 hours

Average speed = 0.1714 miles / hour

3 0
3 years ago
Simplify:(2x+y-z)^2-(2x+y+z)^2
storchak [24]

Q: "Simplify the following expression (2x+y-z)^2-(2x+y+z)^2"  

As a simplified expression is  

A: -8xz - 4yz

Hopefully this helps you ^0^

5 0
3 years ago
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