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pantera1 [17]
2 years ago
6

Ajogger goes 0.3 km east and then turns south. If the jogger finishes 0.5 km from the starting point, how far south did the jogg

er go?
Mathematics
2 answers:
dolphi86 [110]2 years ago
8 0

Answer:

He went 0.2km south.

Step-by-step explanation:

Your welcome!

Illusion [34]2 years ago
7 0

Answer:

he went 0.2km south

Step-by-step explanation:

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Write two numbers that multiply to the value on top and add to the value on bottom.
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3 years ago
The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

-2(x^2-2x+1)=-3

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

-2(x-1)^2+3=y

From this form,

y=-a(x-h)^2+k

you can determine the coordinates of the vertex to be (1, 3)

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The answer is j.
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mr_godi [17]
X=15 this is because 45+15 is equal to 60 and is equal to 4x so 4x=60 divide both sides by 4 to get x and you get x is equal to 15
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