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Lubov Fominskaja [6]
3 years ago
11

Gelppppppppp meeeeeeee

Mathematics
1 answer:
Alja [10]3 years ago
3 0

Answer:

3/5

Step-by-step explanation:

sin is opposite over hypotenuse

find hypotenuse first -> Hypotenuse = 100 m

(notice that it is a 3-4-5 triangle)

60/100 = 6/10 = 3/5

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Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
Ashleigh rode her bicycle 26.5 miles in 4 hours.which gives best estimate of how far Ashleigh rode in 1 hour
Firdavs [7]
Ashleigh rode her bicycle about 6 miles in 1 hour 
4 0
2 years ago
Which of the following values is a solution of |2-x| less than 4
morpeh [17]

The correct answer is -1.

In order to solve this, we need to split into the positive and negative version of the answers. Let's start with the positive version.

2 - x < 4

-x < 2

x > -2 ----> NOTE: When we divide by -1, we have to change the direction of the sign.

Now we'll do the negative version.

2 - x > -4

-x > -6

x < 6

So we know the number must be greater than -2, but less than 6. The only number on this list that fits that is -1.

4 0
3 years ago
Work Out The Value of X
melomori [17]

Answer:

71°

Step-by-step explanation:

3x° + (x - 11)° + (2x - 55)° = 360°

3x + x - 11 + 2x - 55 = 360°

6x - 66 = 360°

6x = 360° + 66°

6x = 426°

x = 71°

8 0
3 years ago
What happens when you celebrate halloween in the spring
kirill [66]

Answer:

the day that immediately proceeds the last and final spring sabbat, ... The fact that Beltane and Samhain happen in unison twice a year lends

Step-by-step explanation:

4 0
3 years ago
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