3 years ago

Which of the following equations has only one solution?

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

Answer:

The last one:

x^2 - 6x + 9

Factors to: (x-3) and (x-3)

The only solution is: 3

Step-by-step explanation:

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

Zepler [3.9K]

We can use the formula for a parabola: $y = c(x - a) + b$ where
$(a,b)$ is the origin of the parabola and $c$ is some constant scaling factor.

We are given that the center of the arch on the bridge is $(0, 0)$ . This is our origin. So our equation is:

$y = c(x - 0)^2 + 0 = cx^2$

Now we just need to find c. We can do this by plugging in one of the other points given:

$-13 = c*7^2$
$\frac{-13}{49} = c$

So our final equation for the arch of the bridge is:

$y = \frac{-13}{49}x^2$

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3 years ago

Antony spent 328 minutes reading on Monday, Jose spent 159 minutes reading on Monday, how many more minutes did Antony spend tha

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Answer:

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Step-by-step explanation:

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3 years ago

What is the value of x in degrees Enter your answer in the box

ziro4ka [17]

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3 years ago

A two digits number is 21 times the difference and 350% of the product of its digit. Find the quotient of the digit of number

Juliette [100K]

The number is 63, so the quotient is 2.

Two digit numbers divisible by 21:
21, 42, 63, 84

21: 2-1 = 1 * 3.5 = 3.5
3.5*2*1 = 7 but 7 does not equal 21

42: 4-2 = 2 * 3.5 = 7
3.5*4*2 = 28 does not equal 42

63: 6-3 = 3*3.5 = 13.5
3.5*6*3 = 63 :)

Check:
21(6-3)=21(3)= 63 :)
3.5(6)(3) = 21(3) = 63 :)

63: 6/3 = 2

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3 years ago

Daisy has one cucumber that is 3 inches long and another cucumber that is 5 inches long she cuts the cucumber 3/8 inches thick s

myrzilka [38]

Answer:

21 pieces

Explanation:

The 3in one could be written as 24/8, because it equals 3.

So you find how many 3/8s are inside 24/8, the answer would be 8 pieces for the first one.

Then the 5in one is=40/8

With this one you would have 13 pieces and 1/8 lasting.

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4 years ago