Answer:
(x - 11)² + (y + 8)² = 74Step-by-step explanation:
The equation takes the form (x - h)² + (y - k)² = r², where h is the x coordinate, k is the y coordinate of the center and r is the radius of the circle.
The center of circle is the middle of diameter.
The radius is the distance between the center and any point from the circumference of a circle.
The middle of diameter:
[tex]\left(\frac{18+4}2\,;\,\frac{-13-3}2\right)=\left(\frac{22}2\,;\,\frac{-16}2\right)= \left(11\,;-8\right)[/tex] ⇒ h = 11, k = -8
The distance between the center and point (4,-3)
[tex]r=\sqrt{(11-4)^2+(-8-(-3))^2}=\sqrt{7^2+(-5)^2}=\sqrt{49+25}=\sqrt{74}[/tex]
so the equation:
(x - 11)² + (y - (-8))² = (√74)²
(x - 11)² + (y + 8)² = 74
Write an equation of the line in STANDARD FORM with a slope of 3 and passes through the point (6,-2) in standard form.
Standard form:
Ax + By = C
First make it into slope-intercept form first:
y = mx + b
Find b by substituting the given to their respective positions:
-2 = 3(6) + b
-2 = 18 + b
-2 - 18 = b
-20 = b
Now the complete version is:
y = 3x - 20
Arrange the equation:
y = 3x - 20
-3x + y = -20
Easy :)
simplify (2^5/3^2)^4 ( PLEASE HELP) !!!
Simplifying it down:
(10/6)*4
40/24
What is the slope of a line perpendicular to the line whose equation is
6x - 5y = -40. Fully reduce your answer.
Answer:
Slope = - 5/6
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
6x - 5y = - 40 Equation
Step 3:
- 5y = - 6x - 40 Subtract 6x on both sides
Step 4:
y = 5/6x - 80 Divide 5 on both sides
Step 5:
m = Slope
Answer:
Slope = - 5/6
Hope This Helps :)
solve for the perimeter
Answer:
can you provide more information and explain
Step-by-step explanation:
a lab uses negative numbers to describe a car moving backward on a road if the car was at -75.5 feet ,went forward 23 feet and then forward again 14.5 feet where is the car now
Simplify the expression:
9-22 + 4 x 5
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
9-22+20
9-2
7
A line has a slope of 1/4 and passes through the point (0.2. 4/5).
Find the value of b, the y-intercept.
b=
Answer:
The value of the y-intercept b is 0.75
Step-by-step explanation:
Here, we want to find the value of the y-intercept
The equation of the line can be written as;
y = mx + b
where m is slope and b is the y-intercept
so y = 1/4x + c
To get the value of b , we substitute for x and y using the given point
4/5 = 1/4(0.2) + c
Multiply
0.8 = (0.25)(0.2) + b
0.8 = 0.05 + b
b = 0.8 - 0.05 = 0.75
Answer:
b=0.75
Step-by-step explanation:
i did it on edge
1. a) Given the relation, {(-3, 1), (-2, 0), (1, 2), (3, 4), (-3,5)},
Domain Range
10 POINTS Solve for y: 5y + 2y -4y = 30
Answer:
10
Step-by-step explanation:
5y + 2y -4y = 30
To solve first combine like terms
5y+2y-4y=3y
Then isolate your variable, do this by dividing both sides by 3.
3y=30
3y/3=30/3
Finally, simplify
y=10
What is 2/3 divided by 1/6
O 2
O 3
O4
O 6
The coordinates of A are (1,1) and the coordinates of B are (-5,-1)what are the coordinates for the midpoint of line segment AB?
Answer:
8 point M is the midpoint of AB.
Step-by-step explanation:
I hope that helps u out!
please help me!!! It’s due Thursday
Answer:
sorry man
Step-by-step explanation:
The sum of twice n and 5
Answer:
it is either 2^n+5 or n²+5
Step-by-step explanation:
I'm not one hundred percent sure
C5.3 PA9Fitbands' estimated sales are: October $131,982 November $195,723 December $249,283 January $124,298 February $124,284 March $124, 273 What are the balances in accounts receivable for January, February, and March if 65% of sales are collected in the month of sale, 25% is collected the month after the sale, and 10% is the second month after the sale?
Answer:
Accounts receivable in January = $68,432.60
Accounts receivable in February = $55,929.20
Accounts receivable in March = $55,958.95
Step-by-step explanation:
65% of sales collected in the month of sales + 25% in the following month + 10% in second month after sales.
In January, total accounts receivable will be the amounts outstanding or unpaid by the end of January. By the end of January, a total of 10% of December sales & 35% of January sales remain outstanding.
Accounts receivable in January = 35% of January sales + 10% of December sales
Accounts receivable in January = (35% * $124298) + (10% * $249283)
Accounts receivable in January = $43504.3 + $24928.3
Accounts receivable in January = $68432.60
In February, total accounts receivable will be the amounts outstanding or unpaid by the end of February. By the end of February, a total of 10% of January sales & 35% of February sales remain outstanding.
Accounts receivable in February = 35% of February sales + 10% of January sales
Accounts receivable in February = (35% * $124284) + (10% * $124298)
Accounts receivable in February = $43,499.4 + $12,429.8
Accounts receivable in February = $55,929.20
In March, total accounts receivable will be the amounts outstanding or unpaid by the end of march. By the end of March, a total of 10% of February sales & 35% of March sales remain outstanding.
Accounts receivable in March = 35% of March sales + 10% of February sales
Accounts receivable in March = (35% * $124373) + (10% * $124284)
Accounts receivable in March = $43530.55 + $12428.4
Accounts receivable in March = $55,958.95
Subtract −5x^2 −9x+8 from -6x^2+5
Answer:
-(x^2 - 9 x + 3)
Step-by-step explanation:
Simplify the following:
-(-5 x^2 - 9 x + 8) - 6 x^2 + 5
Factor -1 out of -5 x^2 - 9 x + 8:
--(5 x^2 + 9 x - 8) - 6 x^2 + 5
(-1)^2 = 1:
5 x^2 + 9 x - 8 - 6 x^2 + 5
Grouping like terms, 5 x^2 - 6 x^2 + 9 x - 8 + 5 = (-6 x^2 + 5 x^2) + 9 x + (5 - 8):
(-6 x^2 + 5 x^2) + 9 x + (5 - 8)
5 x^2 - 6 x^2 = -x^2:
-x^2 + 9 x + (5 - 8)
5 - 8 = -3:
-x^2 + 9 x + -3
Factor -1 out of -x^2 + 9 x - 3:
Answer: -(x^2 - 9 x + 3)
Consider the sequence –8, –4, 0, 4, 8, 12, …. Select True or False
An explicit rule for the sequence is
f (n) = -8 + 4(n - 1)
true
false
Write a quadratic function in standard form whose graph passes through (-2,0), (3,0), and
(2, – 32).
Answer:
y = -8x^2 - 8x - 48
Which of the following is not possible for a
system with one quadratic function and one
linear function?
O two solutions
O infinite solutions
O one solution
O no solution
Answer:
infinite solutions
Step-by-step explanation:
with a quadratic and linear system, you can only either get, one, two, or no solution.
The linear function can only pass the quadratic a max of 2 times.
Need to know ASAP thanks!
Answer:
-1/2
Step-by-step explanation:
A flea, usually less than an eighth of an inch long, can long jump about eight inches. If humans
could jump in proportion to the flea, it would only take nine leaps to go one mile! At this rate, how
many leaps would it take a human to travel 693 miles from Louisville, Kentucky to Norfolk,
Virginia?
Answer:
6237
Step-by-step explanation:
693 multiplied by 9 is 6237
Sara has 3.75 bags of gravel for her driveway project. Each bag of gravel will cover 125.3 square feet How many square feet will Sara be able to cover if she uses all these bags of gravel? AT469.875 ft? B 375.225 ft? C 407.225 ft2 D 418.502 ft2
Answer:
469.875
Step-by-step explanation:
Just multiply 3.5 by 125.3
Is the following formula recursive or explicit? *
Uo = 13
Un = Un-1 - 3
Answer plz
Answer:
Recursive.
Step by step explanation:
N is the number of the term in the sequence, so Un-1 is the term previous to Un and since you’re subtracting 3 from the previous term, that means it’s recursive
Please help me find
Answer:
150 feet
Step-by-step explanation:
the ratio of her shadow to her height
2/5=60/150
60/150=2/5
i hope it is right
Answer:
The answer is C) 150 feet
Is rigth
Step-by-step explanation:
2/5=60/150
2/5= 0.4
60/150=0.4
Find the simple interest and the total amount after two years.
Principal = 2500=2500equals, 2500 rupees
Annual rate of interest = 9 \%=9%equals, 9, percent
Total interest ==equals
rupees
Total amount ==equals
rupees
Answer:
450
2,950
thats the answer
450 is the total interest amount and 2950 is the total amount.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To find the simple interest, we can use the formula:
A = P(1 + rt)
Now we can simply substitute the values given in the formula.
Before anything, it is a good practice to define the values of each variable.
P = 2,500
r = 9% or 0.09
t = 2
0.09×2500=225
225 is the interest for one year
450 is the total interest for two years.
Now we proceed to use the values in the formula to find total amount.
A=P(1+rt)
A = 2,500(1 + (0.09 × 2))
A = 2,500(1 + 0.18)
A = 2,500( 1.18 )
A = 2,950.00 Rupees
Hence, 450 is the total interest amount and 2950 is the total amount.
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Convection currents in the Earths mantle are caused by (please dont guess or just say anything random for points)
A.) Less dense hot magma moving downward
B.) Less dense hot magma moving upward
C.)Tectonic plate movement
D.)More dense cooler magma moving upward
Answer:
B
Step-by-step explanation:
Perform the indicated operation.
(-7) · (-5)
-12
-35
12
35
how do u divide decimals using long division like for example 9.6 ÷3
How to Divide Decimals
Move the decimal point in the divisor and dividend. ...
Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.
Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.
Find the value of x.
1)
59
(6x + 5)
Answer:
Is 59 equal to (6x + 5)?
If so than your answer is: x = 9 [The value of x is 9]
Explanation:
Given 59 = (6x + 5), x is the value that makes 59 = 59.
Therefore:
59 = (6x + 5)
*given*
59 =(6x + 5)
-5 -5
*subtraction property of equality*
54 = 6x
÷6 ÷6
*division property of equality*
9 = x
x = 9
*symmetric property of equality*
_________________________
To check just substitute, simplify, and make sure 59 = 59:
x = 9 → 59 = (6x + 5) → 59 = (6(9) + 5) → 59 = (54 + 5) → 59 = 59
The cost of a pair of pants was reduced from $50 to $40. By what percent did the cost of the pair of pants decrease? 2% 10% 20% 40%
Answer:
C. 20%
Step-by-step explanation:
50*2=100
40*2=80
100-80=20
A percentage is a number or ratio that represents a fraction of 100.
The percentage decrease in the cost of the pair of pants is 20%.
What is a percentage?A percentage is a number or ratio that represents a fraction of 100.
Example:
50% = 50/100 = 1/2
10% = 10/100 = 1/10
25% = 25/100 = 1/4
20% = 20/100 = 1/5
We have,
The initial cost of pair of pants = $50
The final cost of pair of pants after reduced = $40
The percentage decrease in the cost of pair of pants:
= [( Initial cost - Final cost ) / Initial cost] x 100
= [(50 - 40) / 50] x 100
= (10/50) x 100
= 20%
Thus,
The percentage decrease in the cost of the pair of pants is 20%.
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Does anyone know how to do graphing stories?
Answer:
4.5.6.7zr5r5xtdxtdxycfcff5cc ttcgc tc tcc
Step-by-step explanation:
i don't knowt7c6xrdxydc6tvg6vgv6g5cctft vy ggcgcg5gc5