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kupik [55]
3 years ago
15

A parabola opening up or down has vertex (0,- 1) and passes through (6,

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0

Answer:

y + 1 = (11/36)(x - 0)^2

Step-by-step explanation:

Suppose that the parabola opens UP.  We adapt the equation

y - k = a(x - h)^2 as follows:  k = 0 because the vertex is at (0, -1); also h = 1.

Then we have:

y + 1 = a(x - 0)^2

We are told that (6, 10) is on the parabola.  Subtracting 6 for x and 10 for y, we get:

10 + 1 = a(6 - 0)^2, or 11 = a(6^2)  

Then 11/36 = a

The equation of the parabola in vertex form is y + 1 = (11/36)(x - 0)^2

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Could anyone tell me if I’m right. This is a gradient of a line question
pshichka [43]

Answer:

See Below (it is correct)

Step-by-step explanation:

First point given ----  A(-3,0)

2nd point given ----- B(4,0)

The slope is the "change in quantity y" divided by "change in quantity x"

The change would be from 2nd point to 1st point. So,

Change in quantity y is 0 - 0 = 0

Change in quantity x is 4 - (-3) = 4 + 3 = 7

So, slope would be:

Slope = 0/7 = 0

The slope is 0 (which means it is a horizontal line)

3 0
3 years ago
Curtis threw 15 darts at a dartboard.40% of his darts hit the bulls eye. How many darts did not hit the bulls eye?
Rus_ich [418]

Answer:

9 did not hit the bulls eye

Step-by-step explanation:

If 40% did hit the bulls eye, 100-40 = 60% did not hit the bulls eye

15 * 60%

15 *.6

9

9 did not hit the bulls eye

3 0
3 years ago
Read 2 more answers
Ignore everything I wrote but I’m supposed to be writing two-column proofs and I need help with these
zavuch27 [327]

What you have so far is perfect. You started with the given statements and then use the definition of midpoint to show that each piece is equal to one another.

From here, use the transitive property

We combine these two statements

  • WX = XY
  • XY = YZ

into the following

WX = YZ

So we can effectively say WX = XY = YZ meaning the segments WX, XY and YZ are all the same length.

Through similar logic, we can chain together

  • VW = WX
  • WX = XY

to get VW = XY

-------------

Consequently this means VW, WX, XY, and YZ are all the same length

Let's call that length m.

m = length of segment VW = length of WX = etc etc

This means,

VY = VW+WX+XY = m+m+m = 3m

and

WZ = WX+XY+YZ = m+m+m = 3m

Both VY and WZ are exactly 3m units long, therefore, VY = WZ

7 0
3 years ago
4. Which has a longer perimeter, a square whose side is 3 metres or a rectangle whose
Yuri [45]

Answer:

The square.

Step-by-step explanation:

perimeter is found by add ing all sides, so 3+3+3+3= 12 while 3+3+2+2= 10

4 0
3 years ago
By taking  = 3.141 and
Whitepunk [10]

The value of the expression 1/√2 + π where the given parameters are π = 3.141 and  √2 = 1.414 is 3.848

<h3>How to evaluate the expression?</h3>

The given parameters are

π = 3.141

√2 = 1.414

The expression to evaluate is given as:

1/√2 + π

Start by substituting π = 3.141 and √2 = 1.414 in the expressions 1/√2 + π

1/√2 + π = 1/1.414 + 3.141

Evaluate the quotient

1/√2 + π = 0.707 + 3.141

Evaluate the sum

1/√2 + π = 3.848

Hence, the value of the expression 1/√2 + π where the given parameters are π = 3.141 and  √2 = 1.414 is 3.848

Read more about expressions at:

brainly.com/question/723406

#SPJ1

<u>Complete question</u>

By taking π = 3.141 and √2 = 1.414, evaluate 1/√2 + π up to three places of decimals.

8 0
2 years ago
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