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djyliett [7]
2 years ago
6

It takes me 12 minutes to run 2 kilometers. How long will it take me to run 10,000 meters?

Mathematics
1 answer:
galina1969 [7]2 years ago
7 0
60min or 1 hour

Because 2km is equal to 2000m
Therefore you multiply 12 min by 5 (because 2000m x 5 is 10000m)

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How to work the problem out
gulaghasi [49]
Use the Law of Sines  (sina/A=sinb/B=sinc/C for any triangle)

x/sin90=12/sin19

x=12/sin19

x≈36.86  to nearest hundredth
8 0
3 years ago
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
enyata [817]

Answer:

k=6

Step-by-step explanation:

The parabola that opens up and passes through (-3,-3) will have equation,

f(x) =  {x}^{2}  - 12

The parabola the opens up a d passes through (-3,3) will have equation:

g(x) =  {x}^{2}  - 6

We want to determine the value of k, for which,

g(x) = f(x) + k

We rewrite g(x) in terms of f(x) to get:

{x}^{2}  - 6 =  {x}^{2}   - 12 + 6

g(x)  \to({x}^{2}  - 6 )= f(x) \to ({x}^{2}   - 12 )+k  \to6

Therefore;

g(x) = f(x) + 6

Hence k=6

3 0
3 years ago
Y^3-9y^2+y-9 I don't know how to solve this can you help
aleksley [76]
I'm guessing your problem is this:
y³ - 9y² + y - 9 = 0
right?

In solving this problem, I recommend doing this:
y³ - 9y² + y - 9 = 0
Factor out a y² from the first two numbers in the problem:
y²(y - 9) + (y - 9) = 0
Separate the parentheses which means y - 9 goes on one side. The y² added a one since it came from the + 1 in the middle of expression. When you're separating parentheses like this you just take the outside numbers and combine them together. Since + 1 came from the outside of the (y - 9) and y² also was sitting on the outside of (y - 9) combine them to make y² + 1. Like this:
(y² + 1)(y - 9) = 0
Now separate your two parentheses to two separate problems:
(y² + 1) = 0    and    (y - 9) = 0
Now you're y² + 1 will equal:
y² = -1
y = √-1 <-- This number doesn't exist so it will be an imaginary number (i). If you guys didn't learn that in your class I recommend just leaving it as i for that part.
Now solve y - 9 = 0:
y = 9 <-- Since we added nine to both sides to get this.

So you're final answer should be y = i and 9
3 0
3 years ago
Solver r=1/2m2p for p
Kisachek [45]

Answer:

p= 2r/m^2

Step-by-step explanation:

7 0
3 years ago
Slope: -1 intercept: -7.9
frosja888 [35]

Answer:

y = -x - 7.9

Step-by-step explanation:

Given:

m = -1

b = -7.9

y = mx + b

y = -x - 7.9

7 0
3 years ago
Read 2 more answers
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