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Feliz [49]
3 years ago
10

1. In order to draw a straight vertical line segment that is 4 units long, which point must be connected to (1, 2)?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

D. (1,6)

Step-by-step explanation:

Vertical line segment:

A vertical line segment has fixed x coordinate.

In this question:

Vertical line segment that is 4 units long and is connected to (1,2).

The x-coordinate is x = 1.

The y-coordinate can be y = 2 - 4 = -2 or y = 2 + 4 = 6.

(1,6) is one of the options, so the correct answer is given by option D.

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Always true, 90+90=180
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2 years ago
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John paid $450 for a new mountain bicycle to sell in his shop. He wants to price it so that he can offer a 10% discount but stil
Ghella [55]

Answer:

$643.50

Step-by-step explanation:

Let i be the profit realized from the sale and d be the discount made on the sale:

#John's selling price can be calculated by first adding profit, i to $450, the d to the new price as:

P_n=P_o(1+i)+d[P_o(1+i)]\\=450(1+0.3)+0.1[450(1+0.3)]\\\\\\=450\times 1.3+0.1(450\times1.3)\\\\=585+58.5\\\\=643.50

Hence, John will resell the bike at $643.50

8 0
3 years ago
Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples
zheka24 [161]

Answer: a. 0.40   b. 0.23  c . 0.435   d . 0.25

Step-by-step explanation:

                                   melanin      content    Total

                                            high   low

moisture   high                     13      10                23

content    low                       47      30                77

 Total                                   60      40              <u> </u><u>100</u>

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)=\dfrac{40}{100}=0.40

b) Total skin samples has high moisture content = 13+10=23

P(B) =\dfrac{23}{100}=0.23

c) A ∩ B =  Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) =\dfrac{10}{100}=0.10

Using conditional probability formula , P (A|B)=\dfrac{P(A\cap B)}{P(B)}

P (A|B)=\dfrac{0.10}{0.23}=0.434782608696\approx0.435

d)  P (B|A)=\dfrac{P(A\cap B)}{P(A)}

P (B|A)=\dfrac{0.10}{0.40}=0.25

8 0
3 years ago
What is the average rate of change between:
Alex_Xolod [135]
The average rate of change is 1
2-1=1
3-2=1
4-3=1
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Find all rational zeros of P(x)=6x^4-x^3-55x^2+9x+9​
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Answer: x = -3, -1/3, 1/2, 3

Step-by-step explanation:

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