When graphed, the circle with equation
2x² + y2 + 14x + 8y + 20 = 0
Will lie ENTIRELY in Quadrants…
Answers
Answer:
First we must use the property of the sum of perfect squares:
X^2 -14x +y^2 +10y+65 =0
Adding 7^2 and -7^2
x^2 -14x+7^2-7^2 +y^2+10y+65=0
x^2 -2.7x +7^2 -49 +y^2+10y+65=0
(X-7)^2 +y^2+10y+16=0
Adding 5^2 and -5^2
(X-7)^2 +y^2 +10y+5^2-5^2+16=0
(X-7)^2 +y^2+2.5y+5^2 -25 +16=0
(X-7)^2+ (y+5)^2 -9 = 0
(X-7)^2 +(y+5)^2 = 9
(X-7)^2+(y+5)^2 = 3^2
Center = (7, -5)
R = 3
The circle is in the 4 quadrant.
Related Questions
Use the graph of the function y = 4x to answer the following questions.
The domain of the function is
✔ negative infinity
to
✔ positive infinity
because an exponent can be any real number.
The range of the function is
to
because 4x is always positive.
Answers
Answer:
the domain of y=4x is all real numbers.
Any number you can think that is not imaginary and certain transcendental numbers fall into the domain of y=4x
Which of the sets of ordered pairs represents a function?
A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}
B = {(4, 2), (3, −2), (9, 4), (11, −3)}
Only A
Only B
Both A and B
Neither A nor B
Answers
Ann is participating in a 4-day cross country biking challenge. She biked for 65, 69, and 45 miles on the first three days. How many miles does she need to bike on the last day so her average ( mean ) is 62 miles per day?
Answers
Answer:
the answer is 69
hope i helped <3
Step-by-step explanation:
What is the intermediate step in the form (x+a)^2=b(x+a)
2
=b as a result of completing the square for the following equation?
x^2+ +52= −20x−3
Answers
Answer:
Step-by-step explanation:
x²+2 ×x×5+5²=-20x+2×x×5-3
(x+5)²=-20+10x-3
(x+5)²=-10x-3
A line is parallel to y=3x+8 and intersects the point (-3,7). What is the equation of this parallel line?
Answers
Answer:
y=2x+7
Step-by-step explanation:
I used desmos(.com)
Properties of equilateral triangles…………………….
Answers
Answer:
20.
Step-by-step explanation:
All sides and angles are the same length on equilateral triangles.
All sides will be 20u long and all angles will be 60° each.
An amount of $37,000 is borrowed for 13 years at 6.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back
Use the calculator provided and round your answer to the nearest dollar
Answers
Answer: 49583.54 dollars
==============================================================
Work Shown:
P = 37000 is the principal (aka amount loaned out)
r = 0.05 is the interest rate in decimal form
t = 6 is the number of years
n = 1 tells us we are compounding 1 time per year (aka annual compounding)
Those four values are plugged into the formula below and you use a calculator to simplify
A = P*(1+r/n)^(n*t)
A = 37000*(1+0.05/1)^(1*6)
A = 49583.538703125
A = 49583.54 is the full amount to pay back
Side note:
The amount of interest paid is A - P = 49583.54 - 37000 = 12583.54
Convert.
ounces
1
pound
8
Answers
Answer:
2 ounces
[tex]0.125*16=2[/tex]
Multiply mass by 16 to find.
Evaluate the following expressions if a = 2, b = 3, X = 4, and y = 5.
x² - ab/y
A.1/2
B.64
C. 2
D.18
Answers
16-2(3)/5
16-6/5
16-1.2
14.8
What is the image point of (-5, -6) after the transformation T3,-1 •R270?
Answers
Answer:
e
Step-by-step explanation:
Mr. Osmond bought a computer that cost $2,500. How much did he pay for the computer if the sales tax rate was 7 present
Answers
Answer:
$2,675
Step-by-step explanation:
7% of $2,500 is $175. Adding $2,500 and $175 gets you $2,675
Hope this helps, and I’d appreciate brainliest but if not it’s okay!
Answer:
If the sales tax rate was 7%, Mr. Osmond would have bought the $2,500 computer for a total of $2,675.
Step-by-step explanation:
To calculate the total Mr. Osmond paid for his computer, we must find 7% of the computer's cost, $2,500, and then add that figure to $2,500.
To find 7% of $2,500, multiply 2,500 by the decimal form of 7%, .07:
[tex]2500 * .07=175[/tex]Since we know that 7% of $2,500 is $175, we can now add that figure to $2,500:
[tex]2500+175=2675[/tex]
Therefore, we can conclude Mr. Osmond paid a total of $2,675 for the computer.
URGENT
Suppose you are starting a new job and you are told there are two options you can choose from regarding how you are paid. Option 1: you earn $1 on the first day of your new job and double your previous amount each week for 6 months (so after the first week you get $2, after the second week you get $4, and so on....). Option 2: you can accept one total sum for $65,536. Which option would you choose? (P.S. Either way! want that job!). Hint: Use 2" = 65,536 where o represents the number of weeks you have to work to make the offered amount of money.
ILL MARK YOUR ANSWER AS BRAINLIEST IF U ANSWER
Answers
Answer: Picking the first option and constantly adding on and on you will eventually make way more than what the second option proposes, therefore picking the first option is the obvious choice.
Step-by-step explanation:
Well let’s see it starts off slow for instance 1, 2, 4, 8, 16 and so on adding that on for a month will eventually leave you with more.
write the missing number
1/5 out of 15
Answers
Answer:
3
Step-by-step explanation:
1/5 × 15
= 15/5
= 3 (would love if you could mark me the brainliest :))
Math help please!! Thanks in advance.
Answers
The third table is the answer.
x=-5 => y=-5-6=-11
x=-8 => y=--8-6=-14
y=-7 => y=-7-6=-13
1. What percent of 28 is 7 ??
Answers
Answer:
25%
Step-by-step explanation:
You can make an equation of 28x=7. And then multiply the given x value by 100 to get the percent.
Answer:
25 percent
Step-by-step explanation:
hope this helps
The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. A car was purchased 6 years ago for $25,000. If the annual depreciation rate is 11%, which equation can be used to determine the approximate current value of the car?
Answers
Answer:
y=25,000(0.89)^6
Step-by-step explanation:
Answer:
a: y= 25,000(0.89)^6
Step-by-step explanation:
Please help me with this and I will give you brainliest but please help
Answers
Answer:
I think it is d
Step-by-step explanation:
When you think about it, this makes the most sense!
Have an amazing day!
PLEASE RATE AND MARK BRAINLIEST!!
Explanation:
The c-7 up top represents "7 subtracted from a number".
The term quotient refers to the result of division.
So we're dividing all of (c-7) over top 4 to get the quotient [tex]\frac{c-7}{4}[/tex]
In a month of November, a dance troupe had 150 members
In December there was 20% decrease in the members
In January there was 20% increase from the month before
How many members were there in January?
Answers
Answer:
110 members
Step-by-step explanation:
Good luck!
Answer: 144
Step-by-step explanation:
so you find 20% of 150 which is 30 and because it is a decrease then you would do 150 minus 30 and that is 120. you would now find 20% of 120 and that is 24 so you do 120 plus 24 and that is 144.
10 hour - 2 hours 25 minutes -3hours 35 minutes
Answers
Answer:
Step-by-step explanation:
10 hours - 2 hours 25 minutes - 3 hours 35 minutes
Lets just do this
2 hours 25 minutes + 3 hours 35 minutes
25 minutes + 35 minutes = 60 minutes
60 minutes = 1 hour
now we have 2 hours + 3 hours + 1 hour
2 + 3 +1 = 6
now we have 10 hours - 6 hours
10 - 6 is 4
4 hours.
2 questions please answer
Answers
Answer:
this equation has exactly 1 solution
Step-by-step explanation:
The temperature on Sunday was a high of 58 degrees. By the next Sunday, the lowest
temperature was -3 degrees. What was the difference in the Sunday temperatures?
Answers
so we take 58 and -3 and the equation to find differences
is x - y
so x=58
and y=-3
so then we do this
58 - (-3)
so 61 is correct
hope this helps
scav
what is 5 divided by 465
please show work aswell (:
Answers
Answer:
1/93
Step-by-step explanation:
look at file below
3x—2
X+38
……………………………….
Answers
Answer:
x = 20; angles = 58°
Step-by-step explanation:
Since the given triangle is an isosceles triangle & the 2 opposite angles are equal, then even the opposite angles of the equal opposite sides will be equal.
So,
3x - 2 = x + 38
3x - x = 38 + 2
2x = 40
x = 40/2
x = 20
Angles:
■ 3x - 2
= 3(20) - 2
= 60 - 2
= 58°
■ x + 338
= 20 + 38
= 58°
=》Both the angles are equal & each measure 58°
Hope it helps ⚜
Rachelle went for a bike ride for 2 hours and 8 minutes. If she finished at 4:35 p.m., what time did she start?
Answers
Answer:
2:27 PM.
Step-by-step explanation:
4:35 PM - 2hr 8 min
(35 - 8 = 27
4 - 2 = 2)The subtraction. It doesn't work like these 2 everytime.
= 2:27 PM.
helppppp meeeee please
Answers
Answer:
B. 7√2
Step-by-step explanation:
One of the trigonometry formulas to find a missing side is:
sin θ = opp/hyp
Substituting those values in with the ones we have, we will get:
sin (45deg) = x/14
√2/2 = x/14
14(√2/2) = x
x = 7√2
Your welcome, and feel free to ask any questions you may have! :D
Answer:
c
Step-by-step explanation:
sorry but im making a guess but im thinking its c or b
c more
What is the equation of the line that passes through the point (1,8) and has a slope of 11?
Answers
Step-by-step explanation:
the easiest approach for a given point and slope of the line is the point-slope form
y - y1 = a(x - x1)
with "a" being the slope, and (x1, y1) being a point on the line.
so, we get
y - 8 = 11(x - 1)
if we need the slope-intercept form
y = ax + b
we simplify the point-slope form
y - 8 = 11x - 11
y = 11x - 3
how can I simplify b x b x b x b
Answers
Answer:
b⁴
Step-by-step explanation:
b x b x b x b
b² x b²
b⁴
YOU GET BRAINLY BUT YOU MUST EXPLAIN
Answers
Answer:
i would go with D to
Step-by-step explanation:
A rectangular prism is 3 feet long and 3 feet wide. Its volume is 90 cubic feet. What is the height of the rectangular prism?
Answers
Solution:
We know that:
Volume of rectangular prism = L × B × H = 90 ft³Substitute the length, breadth, and height to find the volume of the rectangular prism.
=> 3 × 3 × H = 90 ft³Now, let's simplify the LHS.
=> 9 × H = 90 ft³Further simplify the equation by dividing 9 both sides.
=> 9 × H/9 = 90 ft/9=> H = 10 ftThus, the height of the rectangular prism is 10 feet.
please help me please
Answers
Answer:
O_O
Step-by-step explanation:
e
