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3 years ago

Factorise fully 9x^2 - 16y^2

Mathematics

1 answer:

dsp733 years ago

4 0

Note: a² - b² = (a-b)(a+b)

9x² - 16y² = (3x)² - (4y)² = (3x - 4y)(3x + 4y)

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Given that g(x)=3(x)^2-5(x)+1<br> g(1-t)

Vinvika [58]

Answer: g(1-t)=3t^2-t-1

Step-by-step explanation:

g(x)=3(x)^2-5(x)+1

g(1-t)=3(1-t)^2-5(1-t)+1

g(1-t)=3(1-t)(1-t)-5-(-5t)+1

g(1-t)=3(1-t-t+t^2)-5+5t+1

g(1-t)=3(1-2t+t^2)-5+5t+1

g(1-t)=3-6t+3t^2-5+5t+1

g(1-t)=3-5+1-6t+5t+3t^2

g(1-t)=-1-t+3t^2

g(1-t)=3t^2-t-1

7 0

2 years ago

Solve 2r+3<7 and -r+9≤2

Yuri [45]

Answer:

r<2

r greater than or equal to 7

Step-by-step explanation:

3 0

3 years ago

-3^2 - 1^2 -(-2)^3+(-1)^2-(-1-5)^3

Ilia_Sergeevich [38]

Answer: 215

Step-by-step explanation:

4 0

3 years ago

A rectangle is drawn so the width is 5 inches longer than

CaHeK987 [17]

Answer:

$length = l\\width = 5 + l\\Diagonal = 36\\diagonal^2 = (5+l)^2 + l^2\\36^2 = 25 + l^2 +10l + l^2\\1296 = 2l^2 +10l +25 \\2l^2 +10l=1271\\\\l_1=\frac{-10+2\sqrt{2567}}{2\cdot \:2},\:l_2=\frac{-10-2\sqrt{2567}}{2\cdot \:2}$

$l_1=\frac{-5+\sqrt{2567}}{2},\:l_2=\frac{-5-\sqrt{2567}}{2}$

clearly,

$l_{2} \ is \ a \ negative\ number$

So we consider

$l_{1} =\frac{-5+\sqrt{2567}}{2} = 22.83$

Therefore height = 22.8inches

6 0

3 years ago

What is the area of the surface of a cookie was a diameter of 32 feet?

aliya0001 [1]

That would be $\pi(32/2)^2\approx804.25\mathrm{ft^2}$ .

Hope this helps.

4 0

3 years ago