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Vesnalui [34]
2 years ago
14

What is the center of the circle described by the equation (x - 2)^2 +(y + 7)^2 =169

Mathematics
1 answer:
Marizza181 [45]2 years ago
4 0

Answer:

The center is (2, -7)

Step-by-step explanation:

A circle is given by

(x-h)^2 + (y-k)^2 = r^2

where(h,k) is the center and r is the radius

(x - 2)^2 +(y + 7)^2 =169

(x - 2)^2 +(y -  -7)^2 =13^2

The center is (2, -7) and the radius is 13

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2) If 3/5 of students carry an iPhone, what fraction of students is this using 75 as the denominator
kkurt [141]

Answer:

45/75

Step-by-step explanation:

75/5 = 15

15x3 = 45

8 0
3 years ago
Write the equation of a line that is perpendicular to x=3x=3x, equals, 3 and that passes through the point (0,-4)(0,−4)left pare
leva [86]

Answer: x+3y=12

Step-by-step explanation:

Slope of two lines that are perpendicular to each other is 1.

If one line is y=3x, then its slope = 3   [by comparing to the linear equation y= mx+c, here m=3]

Let n be the slope of the required line, then

n\times3=-1\\\\\rightarrow\ n=\dfrac{-1}{3}

Equation of line with slope n and passers through (a,b) is

(y-b)=n(x-a)

Equation of line with slope n= \dfrac{-1}{3} and passes through point ( 0,-4) :

(y-(-4))=\dfrac{-1}{3}(x-0)\\\\\Rightarrow\ y+4=\dfrac{-1}{3}x\\\\\Rightarrow\ -3(y+4)=x\\\\\Rightarrow-3y-12=x\\\\\Rightarrow x+3y=12

Hence, Required equation : x+3y=12

8 0
3 years ago
Monique is factoring the expression 4 x + 16 x y. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8
Anika [276]

Answer:

Monique made an error when writing the factored expression.

Correct factored

expression=4x(1+4y)

Step-by-step explanation:

factoring the expression 4 x + 16 x y.

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4 x (0 + 4 y)

Monique made an error when writing the factored expression.

The correct factored expression should be:

4x+16xy

=4x(1+4y)

Contrary to 4x(0+4y)

Correct factored

expression=4x(1+4y)

4 0
3 years ago
Read 2 more answers
Name a career that requires data-analysis skills. Describe how data analysis is used in this career. Be specific in your example
Viefleur [7K]

Answer: Find explanations below.

Step-by-step explanation:

1. A career as a Data Scientist would require data analysis skills.

2. The Data Scientist computes and analyzes large amounts of data from different sources and then makes useful interpretations with it. He needs skills In Statistics, Calculus, Probability, Programming, Excel, Visualization, Database management, and Machine Learning. He also needs a high level of accuracy when solving problems.

3. The median value is used when the data set contains values that repeat regularly and which contains some extremely high values. The mean value would aggravate towards higher values while the Median value would give a salary value that is an average of the data set. That is why the median value is used in salaries and housing prices calculations.

4. The dot plot is a simple scale representation of data values using dots to highlight the frequency of occurrences. I would use a dot plot to analyze quantitative data (like percentages, and decimals), and univariate data ( like mean, median, and mode).

The box plot analyzes a group of data in graphic styles. I would use it to determine the interquartile range, maximum, minimum, and median values. I would also use it to identify outliers.

5. Dot plot Strengths:

a. It is easy to plot the dots.

b. It is easy to interpret the data.

c. It shows the connection between the two data sets.

Dot Plot Weaknesses:

a. It shows the similarities between only two sequences.

b. The changes that occur between the data set cannot be easily detected.

c. It is time-consuming.

Box Plot Strengths:

a. Outliers are detected.

b. Indicates the 5-point summary.

c. It can compare more than two data set.

Box Plot Weaknesses:

a. Real values are lost.

b. The graph Is not easy to the sight.

6. The Income of the population of adult women would have a negatively skewed distribution.

4 0
3 years ago
Find the compunt intrest on rs 31250 at 12 % per annum for 12 1/2 years
postnew [5]

Answer:

<h2>$128847</h2>

Step-by-step explanation:

given Principle at 31250

and rate = 12%

and time 12.5 years

the amount would be given by the equation

P(1+\frac{rate}{100})^{time}

plug in values to get

31250(1+\frac{12}{100})^{12.5}

end up with value $128847

3 0
2 years ago
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