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2 years ago

Write an equation of the graph:

1 answer:

5 0

1. To translate to the left, add to x.
The equation is: y = |x + 2|

2. To translate down, add to y.
The equation is: y + 2 = |x| OR y = |x| - 2 (subtract 2 from each side)

Hope this helps!

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circle o is inscribed in triangle rst such that it is tangent at points m,n, and p. if rp is 7, rt is 17 and sm is 5, then what

zloy xaker [14]

Answer:

The length of side st is 15.

Step-by-step explanation:

A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.

Then,

/rn/ = /rp/

/tm/ = /tn/

/sm/ = /sp/

But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.

Then,

/rt/ = /rn/ + /tn/

17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)

⇒ /tn/ = 10

Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)

So that,

/st/ = /sm/ + /tm/

= 5 +10

/st/ = 15

The length of side st is 15.

7 0

2 years ago

In a survey respondents were asked which type of movie they watched most often. the bar graph shows how many males and how many

Y_Kistochka [10]

Males that watched action movies : 13
males that watched drama movies : 5

so there are (13 - 5) = 8 more that watched action then drama

6 0

2 years ago

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Which is the largest: 27/30, 28/32, 38/40, 36/39, 75/85

sleet_krkn [62]

I believe the answer is 27/30

3 0

2 years ago

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Find the values of y = r(x) = ∛x for x = –2.197, –1.331, 0, 1.331, 2.197, 3.375, 4.913 Then plot the corresponding points on a g

lions [1.4K]

The cube root values and a graph of them are shown in the attachment.

_____

The cube root of a negative number is negative. These all have exact (rational) cube roots.

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2 years ago

In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014,

DochEvi [55]

Answer:

The mean of C is 170 households

The standard deviation of C, is approximately 5 households

Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

The probability of a household having a computer P = 85/100 = 0.85

Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

μₓ = 200 × 0.85 = 170

The mean of C = μₓ = 170

The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5

Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)

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2 years ago

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