Answers
Answer:
(x – 8)2 + (y – 10)2 = 36
Step-by-step explanation:I took the test
The equation of a circle with center at [tex](8, 10)[/tex] and radius [tex]6[/tex] will be
[tex](x-8)^2+(y-10)^2=36[/tex] which is given in option [tex](3)[/tex] .
What is equation of a circle ?Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius.
We have,
The center at [tex](8, 10)[/tex] and radius is [tex]6[/tex] .
i.e.
[tex]h=8[/tex]
[tex]k=10[/tex]
[tex]r=6[/tex]
So, using the above given equation,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Putting the above values in this equation
We get,
[tex](x-8)^2+(y-10)^2=(6)^2[/tex]
i.e.
[tex](x-8)^2+(y-10)^2=36[/tex]
This is the equation of a circle which is derived using the above given equation.
Hence, we can say that the equation of a circle with center at [tex](8, 10)[/tex] and radius [tex]6[/tex] will be [tex](x-8)^2+(y-10)^2=36[/tex] which is given in option [tex](3)[/tex] .
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Related Questions
what is -23 = -11n + 10 + -3 + 9b = -48 i nEeEd HalPPP
Answers
meh not good at this
Answer:
WHAT IS HE SAYING?!
SOMEONE TELL ME WHAT HE'S SAYING, I DON'T SPEAK TACO BELL.
Explanation:
978/33
Find the value of x.
30
30
Answers
Answer:
30
.......................
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answers
Question: Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
12. The original price of a stove was $480. Its price has since increased by $30. The stove is
currently on sale for 10% off. What is the sale price for the stove?
A $459
B. $462
C. $472
D. $500
Answers
Answer:
A. $459
Step-by-step explanation:
The ratio of almond pieces to
cranberry pieces in a salad is 3 to 4.
If there is a total of 28 pieces in
salad, how many are almond pieces
and how many are cranberry
pieces?
37 dimes, 23 quarters.
Answers
Answer: 12 almond pieces and 16 cranberry pieces
Step-by-step explanation:
Determine an equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the
point (-2, 6)
Answers
Step-by-step explanation:
find 3x + 12y = 1 in terms of y
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x1=-2 and y1=6 and m=4
so using the equation
(y-y1) = m(x-x1)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.
What is the slope-intercept form of a line?When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.
Given an equation of line 3x + 12y = 1
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x₁=-2 and y₁=6 and m=4
so using the equation
(y-y₁) = m(x-x₁)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14
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giving out brainlist and extra points ♥️
Answers
Y=-1/4x+5
Y=3x-8
Answer:
Pretttyyy sureeee
Y=-1/4x+5
Y=3x-8
Step-by-step explanation:
in the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.
Helpppp
Answers
Part A = 46
64+70=134, 180-134=46
Part B
PRD and BPR are same side interior meaning they are supplementary so
BPR=70 and APB is a straight line meaning it = 180 which gives you
64+70+x=180
The measure of angle x is 50 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.
We can see that Angle BPR and angle PRD are supplementary angles, thus their sum is equal to 180
Angle BPR + 115 = 180
Now subtract 115 from both sides;
BPR = 65
Also, the angles APQ, x, and BPR form a straight line and their sum is equal to 180
65 + x + 65 = 180
Now add like terms;
130 + x = 180
x = 50
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Estimate a 10% tip on a bill of $179.54 by first rounding the bill amount to the nearest ten dollars.
Answers
Answer:
Step-by-step explanation:
First we start off by rounding that number to the nearest ten, not tenTH. This rounding would lead to 180$. Now comes the percent part. Here i use the percent equation, which is ____ is ____% of _____. our percent is 10%, and our whole goes at the end, 180$. The part( or the tax), becomes x, and now we translate. Is means = and of means times. so x=.10(180), and x will equal 18
so the tip will be around 18 dollars
hope it helped
Directed line segment overline FG has endpoints F(4, 9) and G(- 8, - 9) .On the coordinate plane below , plot a point that partitions the directed line segment in a ratio of Point 1/2 Undo Reda x Reset 10 8 7 65 443 2
Answers
Answer:
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
PLZZZ ANSWERRR FASTT
Answers
Answer:
>
Step-by-step explanation:
33/8=4.125
8>4.125
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Answers
Complete question :
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Set up an equation such that Tn represents the total amount Simon still owes after n months.
Calculate the amount Simon still owes at the end of one year after his purchase.
Answer:
Tn = 2900 - 180(n - 1)
Tn = $920
Step-by-step explanation:
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Hence,
Tn = 2900 - 180(n - 1)
Amount owed at the end of one year after purchase :
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :
Tn = 2900 - 180(n - 1)
Tn = $920
"To understand the calculation, check below."
InterestWhat all information we have ?
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Tn = 2900 - 180(n - 1)
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.
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Which inequality is true when x=7 ?
A
x + 6 ≥≥ 18
B
x - 6 >> 18
C
11 - x ≤≤ 18
D
11 + x << 18
Answers
Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the last 3 years, how many did Kelly sell each year on average?
Answers
Answer: 20 tickets
Step-by-step explanation:
From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:
= 75 - 15
= 60 tickets
The number of tickets sold by Kelly each year on average will be:
= Number of tickets sold / Number of years.
= 60/3.
= 20 tickets
over the last 3 years
For each point Identity where the point is located
HELP THIS IS LEGIT OVERDUE BY TWO HOURS
Answers
Answer:
3, 1, 2, 4, 5, 6
Step-by-step explanation:
i gave it to you in order from top to bottom
A manufacturing plant is capable of producing 10 tons of product per day when it runs three shifts with no breakdowns and plenty of raw materials. Over the past week, the plant has produced an average of 7.3 tons per day because the third shift has devoted much of their time to preventive maintenance. What is the utilization of the plant?
Answers
Answer: 73%
Step-by-step explanation:
The plant is capable of producing 10 tons of product in one day.
Currently however, it is only able to produce 7.3 tons per day.
Utilization is therefore:
= Actual production/ Potential production * 100
= 7.3/10 * 100
= 73%
What is the missing angle. Find x
Answers
Answer:
20 20202020020200220020200
Step-by-step explanation:
brainly and points :)
Answers
Answer:
[tex]\mathrm{B.\:}408\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The total surface area of this pyramid consists of four triangles and a square. We can add the area of each to find the total surface area:
[tex]4\cdot \frac{1}{2}\cdot11\cdot12+12^2=\fbox{$408\:\mathrm{ft^2}$}[/tex].
someone please help me this is really confusing
Answers
Answer:
Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Step-by-step explanation:
Image 1:
We need to Find area of trapezoid.
The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]
where h is height and b₁ and b₂ are parallel sides.
Looking at the figure we get:
h = 2xy
b₁ = 4x²y
b₂ = 7x²y
Putting values and finding area:
[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]
So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Image 2:
We need to find area and perimeter of triangle.
First we will find area of triangle.
The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height
Looking at the figure,
b = 3ab
h = 4a²b
Finding area:
[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]
So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Now, finding Perimeter of triangle
The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]
Looking at figure:
Length of side 1 = 3ab
Length of side 2 = 4a²b
Length of side 3 = 10a²b
Finding Perimeter
[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]
So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Mario's plumbing service
Charges $40 to make a house
Call plus $25 an hour.
y=40+25h
Fill in the chart
Answers
Answer:
So, hour 0 and charge is 0. hour 1 is 25, hour 2 is 50, hour 3 is 75, hour 4 is 100 and hour 5 is 125
Step-by-step explanation:
For every hour, add 25 in each box.
State if the two triangles are congruent. If so, state how you know.
Answers
Answer: They are congruent, because the angle representers are equal on both triangles
Step-by-step explanation:
Solve this equation. Please show work.
log(4m-10)=1
Answers
Answer:
m=5
Step-by-step explanation:
1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]
2. Any expression raised to the power of 1 equals itself so ... 4m-10=10
3. Move the constant to the right-hand side and change its sign so ... 4m=10+10
4. Add the numbers so ... 4m=20
5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]
6. Check if the solution is in the defined range so ... m=5
Suppose that you bought a new car at a price of $27,600.
According to research on this make and model, similar cars
have straight line depreciated to o value after 12 years. How
much will your car be worth after 9 years?
c. What is the equation of the line?
A. y = 2300x + 27600
B.y=-2300x + 27600
C.y= -2300(9) + 27600
D.26700-12 = y
Answers
Answer:
b
Step-by-step explanation:
because its minus
i think
Gabriella earns a commission of 6% for every house she sells each month. This month she sold 3 houses totaling $895,000. How much did she earn commission this month?
Answers
Answer:
$53,700
Step-by-step explanation:
Commission earned = percentage commission x total number of houses sold
[tex]\frac{6}{100}[/tex] x $895,000 = $53,700
How do you calculate pi? answer quick and u will get brainiest
Answers
Answer:
Make sure you are using a perfect circle.
Measure the circumference of a circle as accurately as you can.
Measure the diameter of the circle.
Use the formula.
For more accurate results, repeat this process with several different circles, and then average the results.
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
You calculate anything times 3.14
conclude the data below:
(Harvard is the top one)
( Cornell is the lowest one)
select all that apply.
a. Harvard has a smaller IQ when compared with Cornell.
b. should choose Harvard cuz earn more than Cornell.
c. should choose Cornell cuz it’s higher.
d. a higher percent from Cornell earn more.
e. harvard has the higher range.
Answers
Answer:
b and e I think. would be helpful to have more info
Step-by-step explanation:
△RST ~ △RYX by the SSS similarity theorem.
Which ratio is also equal to StartFraction R T Over R X EndFraction and StartFraction R S Over R Y EndFraction?
StartFraction X Y Over T S EndFraction
StartFraction S Y Over R Y EndFraction
StartFraction R X Over X T EndFraction
StartFraction S T Over Y X EndFraction
Answers
Answer:
Answer would most likely be option D. StartFraction S T Over Y X EndFraction
Explanation:
Take care..
Express y = 3x + 10 using function notation.
Answers
Answer: f(x) = 3x + 10
Step-by-step explanation: Function notation uses the terms "f(x)." It's the same thing as y.
This is is the correct function notation:
g(x)=3x+10
Hope that helps!!!
Isaiah leaves one city at noon. He has to be at another city at 186 km away at 3:00 P.M. The speed limit the entire way is 65 km/h. Can he arrive at the second city on time? Explain your reasoning using mathematical evidence.
Answers
Answer:
From noon to 3 pm, there are three hours so the average speed Isaiah will need to arrive in another city in 3 hours is 186/3 = 62 km/h. Since this is less than the speed limit, Isaiah can go an average speed between 62 km/h to 65 km/h to arrive at the second city on time.
Step-by-step explanation:
Which number is greater than 5.63? *
A.5.658
B.5.628
C.2.758
D.0.688
Answers
Answer:
A
Step-by-step explanation:
The other values are lesser than 5.63
Answer:
5.658-A
Step-by-step explanation:
