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Tresset [83]
3 years ago
15

What are the coordinates of the center of a circle whose equation is (x + 7)2 + (y – 5)2 = 16?

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

Answer:

  (-7, 5)

Step-by-step explanation:

Comparing the equation to the standard form equation of a circle of radius r centered at (h, k):

  (x -h)² +(y -k)² = r²

you see that h=-7 and k=5.

The center of the circle has coordinates (-7, 5).

_____

Like a lot of math, it's about pattern matching.

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A class of 20 boys and 15 girls is divided into n groups so that each group has x boys and y girls. Find x, y and n. what values
melamori03 [73]
20 = 2 x 2 x 5
15 = 3 x 5

common divisor (CD) of 20 and 15 is 5 so n should be 5 and each group has 4 boys and 3 girls.

If there are more than one CD, then there are more than one answer.

If they ask for the largest number of groups, greatest common divisor (GCD) will be the answer.
4 0
3 years ago
Consider the parent function f(x) = x^2 and the transformed function f(x) =- 5(x - 4)^2 – 8. Identify the
madam [21]

Given:

The parent function is

f(x)=x^2

Consider the transformed function is g(x) instead of f(x) because both functions are different.

g(x)=-5(x-4)^2-8

Step-by-step explanation:

We have,

f(x)=x^2

g(x)=-5(x-4)^2-8

It can be written as

g(x)=-5f(x-4)-8            ...(i)

The translation is defined as

g(x)=kf(x+a)+b                .... (ii)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

If k is negative, then f(x) is reflected across the x-axis to get g(x).

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (i) and (ii), we get

a=-4, f(x) shifts 4 units right.

b=-8, f(x) shifts 8 units down.

k=-5, it is negative so f(x) reflected across the x-axis.

|k|=|-5|=5>1, so f(x) stretched vertically by factor 5.

Therefore, the function f(x) reflected across the x-axis, stretched vertically by factor 5 and shifted 4 units right 8 units down to get g(x).

8 0
3 years ago
How do I create an equivalent expression that includes parentheses so that the value of the expression is 2 for 3+8-4x2-12
natka813 [3]
(3+8-4)×2-12
3+8=11
11-4=7
7×2=14
14-12=2
5 0
3 years ago
To use energy efficiently, a certain washing machine should wash at least 2 kilograms of clothes. To avoid overloading the machi
agasfer [191]

Step-by-step explanation:

the answer is in the image above

7 0
3 years ago
Can someone help me please it is from numbers 16 to 19 please someone
TiliK225 [7]
The <u>correct answers</u> are:

16) Mean = 10.25; Median = 10; Range = 17
17) The range.
18) 10
19) 5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Explanation:

16) To find the <u>mean</u>, we first find the sum of the data values in the set:
5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Next we divide this sum by the number of data points, 24:
246/24 = 10.25.

The <u>median</u> is the middle point of a data set.  Since there are 24 points, this will be between two values.  These two values are 10 and 10; the median is 10.

The <u>range </u>is found by subtracting the highest and lowest values:
22-5 = 17.

17) The <u>mean </u>is changed; the sum of the data values is 246.  Taking 22 out of this, the sum is now 223, and we have 23 data points instead of 24; 223/23 = 9.7 for the new mean.
The <u>median </u>does not change; it is still 10.
The <u>range</u> changes; the highest value is now 15, and the lowest is 5:  15-5=10.  The range is changed the most.

18) The <u>mean is affected</u> by the outlier and the <u>median is not</u>, so we use the <u>median</u>.  This means the answer is 10.

19) The expression for the total number of cars sold is found by adding together all of the points.
6 0
3 years ago
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