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3 years ago

Factor completely x^2-12x+36

Mathematics

1 answer:

Elenna [48]3 years ago

4 0

Answer:

${(x - 6)}^{2}$

Step-by-step explanation:

$= {x}^{2} - 12x + 36 \\ = {x}^{2} - (6 + 6)x + 36 \\ = {x }^{2} - 6x - 6x + 36 \\ = x(x - 6) - 6(x - 6) \\ =(x - 6)(x - 6) \\ = {(x - 6)}^{2}$

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Write an expression for the sequence of operations. Subtract 4 from x, double, and add 8.

Ivenika [448]

4-x=3
Double the 3 witch is =6
And add 8 witch is
6+8=14

3 0

3 years ago

As a lifeguard, sara earns a base pay of $80 per day. if her day involves swim instruction, sara earns an additional 9t dollars,

zhuklara [117]

Answer:

Step-by-step explanation:

Sara's base pay is $80

(a) The 9t represents the additional amount of money that she earns if she gives instruction for t hours. 9 stands for $9 per hour

b)The term in the expression is t which stands for the number of hours that she instructs. The coefficient is 9 which stands for the hourly rate

c) The expression for 7 hours would be

We will substitute t into 80 + 9t. It becomes

80 + 9×7

d) in all, she will earn

80 + 9×7 = $143

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3 years ago

X over 2 +2= 15 two step equations

Fed [463]

Answer:

$\boxed{\boxed{\sf x=84}}$

Step-by-step explanation:

$\sf \cfrac{x}{6} +2=16$

Multiply both sides of the equation by 6:

$\sf x+12=96$

Subtract 12 from both sides:

$\sf x=96-12$

Subtract 12 from 96:

$\sf x=84$

_________________________________

3 0

2 years ago

Read 2 more answers

HELP ASAP!! LOTS OF POINTS!! WILL MARK BRIAN-LIST

KiRa [710]

Answer:

LSA = 532 yds ^2

Step-by-step explanation:

We do not add the triangles in because they are the bases and the bases do not get added in the lateral surface areas.

From left to right

Rectangle 1

A = lw = 9.9 *20 =198

Rectangle 2

A = lw = 6.8 *20 =136

Rectangle 3

A = lw = 9.9 *20 =198

Add them together

198+136+198

532

LSA = 532 yds ^2

7 0

3 years ago

If sec theta = - √30 / 3, find cos theta. if sin(-theta) = -0.97, find cos (π/2 - theta).

Cloud [144]

Step-by-step explanation:

$\cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10}$

$\cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta$

Note that

$\sin( - \theta) = - \sin \theta$

$\cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1$

Therefore,

$\cos( \frac{\pi}{2} - \theta ) = 0.97$

5 0

3 years ago