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Vinvika [58]
3 years ago
9

Complete the square.

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:

+ 100

Step-by-step explanation:

Given

m² - 20m

To complete the square

add ( half the coefficient of the m- term )² to m² - 20m

m² + 2(- 10)m + (- 10)²

= m² - 20m + 100 = (m - 10)² ← perfect square

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A submarine's position is 600 feet below sea level. It descends 218 feet. What is the submarine's new elevation?
ollegr [7]

Answer with explanation:

If Submarine position is 600 feet below sea level, it can be represented in terms of integers as = - 600

Now , it descends 218 feet ,from where it is presently Located.

Descend in terms of integers can be represented as = - 218 feet

Submarine New position or Elevation = - 600 feet + (-218 feet)

                                            = -818 feet

Option A : -818 feet

6 0
3 years ago
Read 2 more answers
Si un gramo de chocolate vale$38.25¿cuánto costarán 750 gramos?
Anna007 [38]

Answer:

28687.5

Step-by-step explanation:

Un gramo equivale a $38,25, por lo que si tenemos 750 de esos gramos, tendríamos que multiplicarlos para obtener el costo total.

3 0
1 year ago
How many trolley cars are needed to hold all the passengers? Write as a mixed number
Oksanka [162]

Answer:

46\frac{1}{8}

Step-by-step explanation:

<u><em>Formulate</em></u>

<u><em /></u>1845\div40

<u><em>Calculate</em></u>

<u><em /></u>\frac{1845}{40}

<u><em>Cross out the common factor</em></u>

<u><em /></u>\frac{369}{8}

<u><em>Write </em></u>\frac{369}{8} <u><em>as a mixed fraction</em></u>

<u><em /></u>46\frac{1}{8}

<em>I hope this helps you</em>

<em>:)</em>

7 0
2 years ago
How would you do a,b,c,and d
I am Lyosha [343]

a) You are told the function is quadratic, so you can write cost (c) in terms of speed (s) as

... c = k·s² + m·s + n

Filling in the given values gives three equations in k, m, and n.

28 = k\cdot 10^2+m\cdot 10+n\\21=k\cdot 20^2+m\cdot 20+n\\16=k\cdot 30^2+m\cdot 30+n

Subtracting each equation from the one after gives

-7=300k+10m\\-5=500k+10m

Subtracting the first of these equations from the second gives

2=200k\\\\k=\dfrac{2}{200}=0.01

Using the next previous equation, we can find m.

-5=500\cdot 0.01+10m\\\\m=\dfrac{-10}{10}=-1

Then from the first equation

[tex]28=100\cdot 0.01+10\cdot (-1)+n\\\\n=37[tex]

There are a variety of other ways the equation can be found or the system of equations solved. Any way you do it, you should end with

... c = 0.01s² - s + 37

b) At 150 kph, the cost is predicted to be

... c = 0.01·150² -150 +37 = 112 . . . cents/km

c) The graph shows you need to maintain speed between 40 and 60 kph to keep cost at or below 13 cents/km.

d) The graph has a minimum at 12 cents per km. This model predicts it is not possible to spend only 10 cents per km.

4 0
3 years ago
Help....................................DDDDDDDDDDDDDDDDDDDDDDDDDDD
m_a_m_a [10]

Answer:

Step-by-step explanation:

a). Since, ΔABC ~ ΔWYZ

Their corresponding sides will be proportional.

\frac{AB}{WY}=\frac{BC}{YZ}= \frac{AC}{WZ}

\frac{194}{WY}=\frac{BC}{1}= \frac{130}{WZ}  --------(1)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

BC² = AB² - AC²

BC² = (194)² - (130)²

BC² = 20736

BC = 144

From equation (1)

\frac{194}{WY}=\frac{144}{1}= \frac{130}{WZ}

\frac{194}{WY}=\frac{144}{1}

WY = \frac{194}{144}

WY = \frac{97}{72} = 1.35

\frac{144}{1}= \frac{130}{WZ}

WZ = \frac{130}{144}

WZ = \frac{65}{72} = 0.90

b). tan(A) = \frac{\text{Opposite side}}{\text{Adjacent side}}

               = \frac{144}{130}

               = \frac{72}{65}

Since, ΔABC ~ ΔWYZ,

∠A ≅ ∠W

Therefore, tangent of angle A and angle W will measure \frac{72}{65}.

8 0
2 years ago
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