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3 years ago

Can someone please tell me how to factorise 5x squared takeaway 80y squared

1 answer:

5 0

80y² - 5x²

Factorise

5(16y²-x²)

hope this helps

divide out any similar things, in this case, it is 5

put it outside the parenthesis, and leave the leftover inside the parenthesis

hope this helps

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Use the power property to rewrite log3x9.

Kitty [74]

Answer:

$\log _3\left(x^9\right)=9\log _3\left(x\right)$

Step-by-step explanation:

Given the expression

$\log _3\:x^9$

now rewriting the expression

$\log _3\:x^9$

$\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0$

$=9\log _3\left(x\right)$

Therefore,

$\log _3\left(x^9\right)=9\log _3\left(x\right)$

9 0

2 years ago

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The area of a rectangle is 65 m2 , and the length of the rectangle is 3 m less than twice the width. find the dimensions of the

salantis [7]

X = <span>width
2x-3 = </span><span>length

</span> $x(2x-3) = 65\\
2x^2 - 3x - 65 = 0 \\ D=b^2-4ac=(-3)^2-4*2*(-65)=529\\
x_{1,2}= \frac{-bб \sqrt{D} }{2a}= \frac{3б 23}{4} \\ x_1=-5 \ \ \O \\ x_2=6.5 \ \$

width = 6.5 m
length = 2x-3 = 2*6.5 - 3 = 10 m

4 0

3 years ago

Solve the quadratic equation x2+8x−30=0 by completing the square.

diamong [38]

Answer:

$\bold{x=-4\pm\sqrt{46}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}$

5 0

2 years ago

What does "w" equal in the equation w²+6w-112+0?

Elenna [48]

Answer:

w^2+6w-112

Step-by-step explanation:

combine like terms

w^2 and 6w are not like terms

3 0

3 years ago

Can help me complete this problem please :c

FrozenT [24]

Answer:

112.5 deg

Step-by-step explanation:

First we find the area of the entire circle.

A = pi * r^2

A = pi * (4 m)^2

A = 16pi m^2

The entire circle has area = 16pi m^2.

The sector has area 5pi m^2.

Now we find the fraction the area of the sector is of the entire circle.

fraction = (5pi m^2)/(16pi m^2) = 5/16 = 0.3125

The full circle has a central angle of 360 deg, the entire circle.

The measure of the central angle of the arc of the sector is the same fraction of the entire circle.

measure of sector angle = 0.3125 * 360 deg = 112.5 deg

4 0

3 years ago

Read 2 more answers