The center of the circle is at (-2,-7) and its radius is 36. What is the equation of the circle in graphing form?
1.) (x+2)^2+(y+7)^2=1296
2.) (x-2)^2+(y-7)^2=6
3.)(x+2)^2+(y+7)^2=6
4.) (x-2)^2+(y-7)^2=1296

Answers

Answer 1
Answer: standard form for circle with radius r and center (h,k) is
(x-h)^2+(y-k)^2=r^2

r=36
center at -2,-7
(x-(-2))^2+(y-(-7))^2=36^2
(x+2)^2+(y+7)^2=1296


firts option

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I don’t understand how to solve this problem??

Answers

i think every angle below 90 degrees

3. Answer: complementary

That's the word for angles which add to ninety degrees.

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If the idea is that Christy noticed that the acute angles in a right triangle are complementary from some examples, that would indeed be an example of inductive reasoning.

30,45,x,100; The median is 51

Answers

Answer:

x = 57

Step-by-step explanation:

Median is the number that is halfway mark. If we are given a data, first we need to arrange them in ascending order and take the middle value. That is called median.

If we have odd number of data, we can easily find the middle value.

For instance, 1, 2, 3, 4, 5 here the number of data = 5 which is odd number.

The middle number is 3.

Therefore, median is 3.

If we have even number of data, we have to take middle two values, add them then divide by 2.

In this case, we are given even number of data

30, 45, x, 100

4 data which is even number of data.

Median is given as 51, we need to find the value of x.

The middle two numbers are 45 and x, we have to add them and divide by 2

Median = (45 + x)/(2)       [Given: median = 51]

51 = (45 + x)/(2)

Multiplying both sides by 2, we get

51*2 = 45 + x

102 = 45 + x

Subtract 45 in both sides, we get

102 - 45 = 45 -45 + x

x = 102 -45

x = 57

To solve for x, you must first understand how the median was calculated out of the given set of numbers. Without looking at the given median value, we can see that we cannot get the median by process of elimination since there are an even amount of numbers in this particular set. Therefore, we must average the two closest values to what should be the median.

In this case, the values are "45" and "x". If we pretend that we know the value of the variable "x" (for example we will pretend that x is 55), then we should have an equation that looks like this: (45+55) ÷ 2 = [median]. What this equation is doing is adding the two closest values to the median (45 and 55) and dividing it by 2, the number of values we are averaging. Now we can solve this equation and simplify it to 100 ÷ 2 which is 50, our median.

So if they give us the median instead of the x value, then we can rewrite the equation to fit your request: (45+x) ÷ 2 = 51. Now we can solve for x:

1. Multiply by 2
(45+x) = 102

2. Subtract 45
x = 57

The x value for your question is 57.

The names of 9 boys and 2 girls in a hat. What is the probability of first drawing a girls name then a boys name from the hat?

Answers

A - drawing a girls name at first
P(A) = 2/(2+9) = 2/11
B - drawing a boys name in second drawing if first drawing was a girls name
P(B) = 9/10
C - drawing a girls name firstly and a boys name secondly
P(C) = P(A) * P(B) = 2/11 * 9/10 = 9/55
ans: 9/55

If f(x) = 1 – x, which value is equivalent to |f(i)|?a. 0
b. 1
c. √2
d. √-1

Answers

If you would like to know which value is equivalent to |f(i)|, you can calculate this using the following steps:

f(x) = 1 - x
|f(i)| = |1 - i| = sqrt((1-i) * (1-i)^conjugate) = sqrt(2) = √2

The correct result would be 
c. √2.

Answer:

The answer is c

Step-by-step explanation:

(02.03 MC) The temperature at a mountain base camp was −2 degrees Celsius on Thursday. Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday. By Friday evening, the temperature was 3 degrees Celsius lower than it was that morning. What was the temperature at the base camp Friday evening? (1 point) −9 degrees Celsius −8 degrees Celsius −7 degrees Celsius −6 degrees Celsius

Answers

Answer:

The temperature at the base camp Friday evening is - 6 degrees Celsius.

Step-by-step explanation:

To get the temperature at a mountain base camp on Friday evening, we must translate statement into a mathematical form:

(i)The temperature at a moutain base camp was - 2 degress Celsius on Thursday:

T_(o) = -2\,^(\circ)C

(ii)Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday:

\Delta T_(1) = -1\,^(\circ)C

(iii)Friday evening, the temperature was 3 degrees Celsius lower that it was that morning:

\Delta T_(2) = -3\,^(\circ)C

The temperature at the base camp Friday evening is:

T = T_(o)+\Delta T_(1)+\Delta T_(2)

T = -2\,^(\circ)C-1\,^(\circ)C-3\,^(\circ)C

T = -6\,^(\circ)C

The temperature at the base camp Friday evening is - 6 degrees Celsius.

Answer:

D) -6 degrees Celsius

Show a way to count from 170 to 410 using tens and hundreds. circle at least 1 benchmark number

Answers

Okay, so we start at 170

170

then we add 30 to reach the number 200

170+30=200

then we add 200 to reach the number 400

200+200=400

then we add 10 to reach 410

400+10=410

The benchmark numbers are bolded...