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Cerrena [4.2K]
3 years ago
15

In the parabola y=(x+1)^2+2

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0

Direction: Opens Up

Vertex: (1,2)

Focus: (1, 9/4)

Axis of Symmetry: x = 1

Directrix: y = 7/4

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Find the length of side xx to the nearest tenth.<br> 30°<br> 60°<br> x<br> 9
otez555 [7]

Answer:

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4 0
3 years ago
How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elem
masya89 [10]

Answer:

40951

Step-by-step explanation:

Using the principles of inclusion - Exclusion

Where C(n,r)=n!/(n-r)!r!

Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000

Total Number of elements in each pair including number repetition of sets is given as

=(1000) × C(5, 2) =10000

Number of elements in each triple of sets is given as

=(100) × C(5, 3) =1000

Number of elements in every four sets

=(10) × C(5, 4)=50

Number of elements in every one set

(1) × C(5, 5)=1

Therefore total number of unique elements=50000-10000+1000-50+1

=40951

5 0
3 years ago
What the value of x 4(2x-5)=5x+4
mrs_skeptik [129]

x=8

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7 0
3 years ago
Read 2 more answers
On one side of the balance scale, Henry placed a 6-gram weight. On the other side of the scale, he placed a ballet slipper.
olchik [2.2K]

Answer:

  • <u><em>A. 6,000 miligrams</em></u>

Explanation:

A <em>balance scale</em> is balanced when the weights on both sides are equal. Then, since the image shows that both sides are equal, the weight of the <em>6-gram weight</em>, placed by Henry on one side of the balance scale is equal to the weight of the <em>ballet slipper </em>placed on the other side.

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  • Weight of the balance slipper = 6 grams

<u>Conversion of units: </u>

  • 6 grams × 1,000miligrams/1gram = 6,000 miligrams

  • Weight of the balance slipper = 6,000 miligrams

That is the option A.

7 0
4 years ago
The graph below represents which of the following functions?
erica [24]

This is a more difficult one to explain. Let's start with the line to the right.  It has a slope (m) of \frac{-2}{2} = -1 and a y-intercept of +3 (continue the line to see where it crosses the y-axis). So, the equation of that line is: y = -x + 3 when x ≥ 2. This can also be written as y = 3 - x when x ≥ 2.  The only option that has that equation is A.

Answer: A


7 0
3 years ago
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