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Irina18 [472]
2 years ago
3

5.2 more than the product of seven and a number

Mathematics
1 answer:
sladkih [1.3K]2 years ago
5 0
7n + 5.2

5.2 plus the product of seven and a number.
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Vanessa draws one side of an equilateral triangle ABC on the coordinate plane at points A(-2, 1) and B (4, 1). What are the two
Readme [11.4K]

Answer:

two vertex are: (1 , 6.2) , (1 , - 4.2)

Step-by-step explanation:

A(-2, 1) and B (4, 1)    AB is a parallel segment with  x axis

The 3rd vertex P (x , y) will locate at the mid point of AB

x = (-2) + (4 - (-2)) /2 = 1       P (1 , y)

length AB = 4 - (-2) = 6

AP = AB (equilateral)

BP² = (4 - 1)² + (1 - y)² = 6²

1 - 2y + y² = 36 - 9 = 27

y² - 2y -26 = 0

y = ((-(-2)) ± √(-2)² - 4 x (-26)) / 2 = (2 ± √108) / 2 = 1 ± 5.2

y = 6.2 or y = -4.2

P (1 , 6.2) or P ( 1 , -4.2)

5 0
2 years ago
Polygon YYY has an area of 111111 square units. Celia drew a scaled version of Polygon YYY using a scale factor of 333 and label
KonstantinChe [14]

Answer:

The ratio of the areas =  the ratio of the squares of the scale factor.

So the area of Z is  3^2 * 11  =  99 sq units.

7 0
2 years ago
Scores on an exam are normally distributed with a mean of 76 and a standard deviation of 10. In a group of 230 tests, how many s
Tanzania [10]
The score of 96 is 2 standard deviations above the mean score. Using the empirical rule for a normal distribution, the probability of a score above 96 is 0.0235.
Therefore the number of students scoring above 96 is given by:
230\times 0.0235=5\ students
5 0
2 years ago
Read 2 more answers
Two friends went fishing on a lake. One friend's lure went 23 feet below the lake's surface, while the other friend's lure sank
serg [7]

Answer:

Distance = 58\ feet

Step-by-step explanation:

Represent the lure's difference with A and B;

A = 23\ feet

B = 81\ feet

Required

Determine the difference in depth between the lure's depth

The distance is calculated as follows;

Distance = B - A

Substitute 23 feet for A and 81 feet for B

Distance = 81\ feet - 23\ feet

Distance = 58\ feet

<em>Hence, the distance between both lure's is 58 feet</em>

6 0
2 years ago
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which
Dmitrij [34]

Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3

Step-by-step explanation:

Since, For function f , the domain is R - {7}

That is, If x is any element of the domain of the function f,

Then,  x ≠ 7

(gof)(x) = g(f(x))

Since, For the function g, the domain is R - {-3}

Thus,  If f(x) is any element of the domain of the function g,

Then f(x)≠ -3

Hence, Fourth Option is correct.

8 0
2 years ago
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