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Simora [160]
3 years ago
7

How do you factor 20x^2 - 66x +54 ?

Mathematics
1 answer:
yarga [219]3 years ago
3 0
There is a way to factor with a leading coefficient larger than 1, but first, it would be easier to factor out a number to make the next steps easier.
2(10x²-33x+27) ← Factor out a 2, then just temporarily drop it to make things less messy

So now we have 10x²-33x+27. The first step when factoring with a leading coefficient is to multiply the leading coefficient (10) and the constant (27) = 270. Then, we find the factors of 270 and see what would add to give -33.
The factors are -15 and -18

Then, we get (10x²-15x)+(-18x+27)
Factor out a 5x from the first, and -9 from the second
5x(2x-3)-9(2x-3)
That would give us (5x-9)(2x-3) but don't forget the 2 from above! Therefore, the final answer is:
2(5x-9)(2x-3)
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Which number should follow in this series: 64/64 9/12 6/12​
zheka24 [161]

Answer: \frac{1}{4}

Step-by-step explanation:

You can reduce the fractions, then:

\frac{64}{64}=1

\frac{9}{12}=\frac{3}{4}

\frac{6}{12}=\frac{3}{6}=\frac{1}{2}

Rewrite them as following:

1,\frac{3}{4},\frac{1}{2}

If you subtract the first number and the second number, you obtain:

1-\frac{3}{4}=\frac{1}{4}

 If you subtract the second number and the second number, you obtain:

\frac{3}{4}-\frac{1}{2}=\frac{1}{4}

Therefore, you must subtract \frac{1}{2} and \frac{1}{4} to obtain the number asked. Then, this is:

\frac{1}{2}-\frac{1}{4}=\frac{1}{4}

6 0
3 years ago
Read 2 more answers
it is equally probable that the pointer on a spinner will land on any one of the eight regions. if the spinner lands on a boarde
Tamiku [17]

Answer:

1/3

Step-by-step explanation:

3 0
3 years ago
What does the problem equal
vesna_86 [32]
Answer: 10•76=760 :)
6 0
3 years ago
The base of a triangle exceeds the height by 9 centimeters. If the area is 56 square centimeters, find the length of the base an
shepuryov [24]

Answer:

The height of the triangle is 7cm and the base is 16cm

Step-by-step explanation:

First of all we have to know the formula to calculate area of ​​a triangle

a = area = 56

b = base

h = heigth

a = (b * h)/2

we replace the known values and we make 2 equations

56cm² = (b * h)/2

b = h + 9cm

we replace b by (h + 9cm) in the first equation

56cm² = (h + 9cm * h)/2

56cm² * 2 = h² + 9h

0 = h² + 9h - 112cm²

we use bhaskara formula:

(-b (±) √ (b² - 4ac) ) / 2a

we replace with the known values

h = (-9 (±) √ (9² - 4*1*(-112) ) ) / 2*1

h = (-9 (±) √ (81 + 448) ) ) / 2

h = (-9 (±) √529) /2

h = (-9 (±) 23)/2

h1 = (-9 + 23) / 2

h1 = 14 / 2

h1 = 7

h2 = (-9 - 23) / 2

h2 = -32 / 2

h2 = -16

The height of the triangle is 7cm and the base is 16cm

8 0
3 years ago
QUESTION 1<br> Given the equation of the circle (x + 7) + (y – 5) 2 = 64, identify the center.
o-na [289]

Answer:

center=(-7,5)

Step-by-step explanation:

The center form of the circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k).

you can find center by making equal to zero each term, then:

x+7 = 0

x=-7

y-5 = 0

y=5

then the center is (-7,5).

6 0
3 years ago
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