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BlackZzzverrR [31]
3 years ago
9

What is the missing constant term in the perfect square that starts with x^2 - 20x

Mathematics
2 answers:
Andre45 [30]3 years ago
4 0

Answer:

100

Step-by-step explanation:

To make a perfect square trinomial, you want to divide the use the following equation to find the missing constant:

(\frac{b}{2} )^{2} when the quadratic is in standard form.

In this case, we would divide -20 by 2 and square it

-20/2 = -10

(-10)^2 = 100

Leviafan [203]3 years ago
4 0

(a - b)² = a² - 2ab + b²

- 2ab = 20x

- ab = 10x } => b = - 10

a = x

(x - 10)² = x² - 20x + 100

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Answer:

The answer is shown in the pic.

Step-by-step explanation:

The cost model will have a fixed cost of $26.30 for 0 ≤ x ≤ 1 lb and variable cost of $4.00/lb for x > 1.

As seen on the pic, the graph will be that of the greatest integer function that is vertically stretched by a factor 4.00 & shifted 26.30 units upward.

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Rachel received a monthly raise of $105.25. If this represented a 5.5% increase, what is her monthly salary after the raise?
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105,25:5,5*105.5=2018,89

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2 years ago
Y = -X + 1<br> Y = 3<br> Substitution method
eduard

Answer:

x=-2, y=3. (-2, 3).

Step-by-step explanation:

y=-x+1

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-x+1=3

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8 0
3 years ago
Write the equation of the line parallel to 4x-5y=2 and passing through point (0,0)
kotykmax [81]

k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2

We have:

4x-5y=2\ \ \ \ |-4x\\\\-5y=-4x+2\ \ \ \ |:(-5)\\\\y=\dfrac{4}{5}x-\dfrac{2}{5}\to m_1=\dfrac{4}{5}\\\\l:y=m_2x+b\\\\k\ \prep\ l\Rightarrow\dfrac{4}{5}m_2=-1\ \ \ \ |\cdot\dfrac{5}{4}\\\\m_2=-\dfrac{5}{4}

l:y=-\dfrac{5}{4}x+b

The line l is passing through point (0, 0). Substitute the coordinates of the point to the equation of a line l:

0=-\dfrac{5}{4}\cdot0+b\to b=0

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<h2>Answer: 5x + 4y = 0</h2>
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2 years ago
Can someone help me please on number 5
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If you multiply $12 × 15 you will get $180

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