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4 years ago

Factor: 4b2 - 12b + 9

Mathematics

1 answer:

Vikentia [17]4 years ago

5 0

Answer:

(2b-3)²

Step-by-step explanation:

The square of a binomial is ...

(p - q)² = p² - 2pq + q²

The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.

For p² = 4b², p=2b.

For q² = 9, q = 3.

Then 2pq = 2(2b)(3) = 12b.

So, the factoring is ...

4b² -12b +9 = (2b -3)²

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The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

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Now, by point slope formula: the equation of the tangent is

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or, $(y +2) = \frac{-1}{0} (x -8)$

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3 years ago

For which equation is x=5 a solution? Help me please ty :)

VladimirAG [237]

Answer:

B)3x=15

Step-by-step explanation:

3x=15

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3 years ago

Which espression is equivalent to 7^(-2)*7^(6)

valina [46]

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Step-by-step explanation:

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3 years ago

Given h(x) = |x+3| -5

statuscvo [17]

Answer:

The parent function f(x) is equal to $f\left(x\right)=\left|x\right|$

The translations is 3 units to the left and 5 units down

Step-by-step explanation:

we have

$h\left(x\right)=\left|x+3\right|-5$

The vertex of the function h(x) is the point (-3,-5)

we know that the parent function f(x) is equal to

$f\left(x\right)=\left|x\right|$

The vertex of the function f(x) is the point (0,0)

The rule of the transformation of f(x) to h(x) is equal to

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4 years ago

46 3= what is the answer

Andrews [41]

If you mean 46 * 3 = 138
If you mean 46 + 3 = 49
If you mean 46 - 3 = 43
If you mean<span> 46 ÷ 3 = 15.3

Hope it helped
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3 years ago