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3 years ago

Claire runs 10 km in 1 hour. How many kilometers does she run in a half an hour? in 2 1/2

2 answers:

8 0

So she runs 10km/1hr
so ?km/.5hr

do cross multiplication

(10) (0.5) = (1)(x)
5 = x
so in half an hour = 5 km

do the same thing for the 2.5 just put it instead of the 0.5 and solve
Good Luck!

Hope this helps ;)

katrin2010 [14]3 years ago

4 0

If she runs 10 km a hour. then she runs for 2 1/2 hours she runs 25 km. for half an hour she runs 5 km. hope this helps you

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2 years ago

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2 years ago

What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (1, −7) and has (2, 3) as its vertex

kondaur [170]

Answer:

Vertex form: f(x) = -10(x − 2)^2 + 3

Standard form: y = -10x^2 + 40x - 37

Step-by-step explanation:

h and k are the vertex coordinates

Substitute them in the vertex form equation:

f(x) = a(x − 2)^2 + 3

Calculate "a" by replacing "f(x)" with -7 and "x" with 1:

-7 = a(1 − 2)^2 + 3

Simplify:

-7 = a(1 − 2)^2 + 3

-7 = a(-1)^2 + 3

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Replace a to get the final vertex form equation:

f(x) = -10(x − 2)^2 + 3

Convert to standard form:

y = -10(x − 2)^2 + 3

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6 0

2 years ago

Which phrase best descubes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 - 2?

Ber [7]

Answer:

"6 units left and 9 units down"

Step-by-step explanation:

Suppose a function is given in this form:

$y=(x-a)^2+b$

This is the parent function y = x^2

translated a units right (left if there was a + before a)
translated b units up (down if there was a - before b)

Now, to go from $y=(x-5)^2+7$ to $y= (x+1)^2-2$ , we can see that:

first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units left
first function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units down

Thus, "6 units left and 9 units down" is the transformation(translation).

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3 years ago