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Karo-lina-s [1.5K]
3 years ago
6

The following graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k:

Mathematics
1 answer:
Sav [38]3 years ago
3 0
1, the minimum of the function (x-h)^2+k is k, because ()^2 is zero or positive.

The minimum height in the plot is y=1, so that k=1!
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Mark made a business trip of 259.5 miles. He averaged 59mph for the first part of the trip and 57mph for the second part. If the
max2010maxim [7]

Answer:

Step-by-step explanation:

d = r * t

Let the time at 59 miles /  hour be t

59*t + 57* (4.5 - t) = 259.5              Remove the brackets

59*t + 256.5 - 57*t = 259.5            Combine the left

2t + 256.5 = 259.5                         Subtract 228 from both sides

2t = 259.5 - 256.5                          Combine

2t =  3                                              Divide by 2

t = 1.5

So he spent 1.5 hours going at 59 miles per hour

He spent 4.5 - 1.5 = 3 hours going 57 miles per hour.

                               

8 0
2 years ago
If it takes a sloth 10 minutes to climb 7.5 feet what’s its climbing speed in miles per hour
qwelly [4]

Answer:

.009  miles/hour

Step-by-step explanation:

\frac{7.5}{10}\frac{feet}{minutes} * \frac{1}{5280}   \frac{miles}{feet} *\frac{60}{1}\frac{minutes}{hour}

This is the method you should take with unit conversions in general, just set up fractions so the units cancel out, like the 7.5 feet cancels out with the feet in the 1/5280 so miles is left on top.  

7 0
3 years ago
Can someone explain why A is the right answer to this question? I'm unsure of how to work out this problem.
joja [24]

So firstly, we have to find the radius of the circular garden before finding the circumference (the amount of fencing needed to surround the garden). To find the radius, use the area formula (A=\pi r^2), plug in the area of the garden (36 ft^2) and solve for r as such:

36=\pi r^2\\ \frac{36}{\pi}=r^2\\ \frac{\sqrt{36}}{\sqrt{\pi}}=r\\ \frac{6}{\sqrt{\pi}}=r

So that we know the radius, plug that into the circumference equation (C=2\pi r) to solve:

C=2\pi*\frac{6}{\sqrt{\pi}}\\ C=\frac{12\pi}{\sqrt{\pi}}\\ C=12\sqrt{\pi}

Your answer is A. 12√π.

4 0
3 years ago
Which number line illustrates the problem below? x = -1 - (-2) -3
Alina [70]
The answers to that would be x=-2
5 0
3 years ago
I need helpp!!!!!!!!!!!!
Rasek [7]
Hey,
We can see here 2 of the angles are equal and the third one is a right angle right?
That means it is an isosceles triangle since they have 2 equel angles and a right anlgle.

Another feature of the isosceles triangle is that 2 sides are equal.
We are given one side is 5.5 right?
So the side BC has to be 5.5 or the side AB has to be 5.5
In isosceles triangles the side opposite to the 90 degree angle is the hypotenuse.This means it is the longest angle.
So it has to be AB which is equal to 5.5 since BC is the hypotenuse.

Hope this helps,Happy New Year
8 0
3 years ago
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