Answer:
[tex]x^2 + y^2 - 40 = 0[/tex]
Step-by-step explanation:
Given
[tex](h_1,k_1) = (6,-2)[/tex]
[tex](h_2,k_2) = (-6,2)[/tex]
Required
Determine the equation of the circle
First, calculate the midpoint of the given coordinates:
[tex](h,k) = \frac{1}{2}(h_1+h_2,k_1+k_2)[/tex]
[tex](h,k) = \frac{1}{2}(6-6,-2+2)[/tex]
[tex](h,k) = \frac{1}{2}(0,0)[/tex]
[tex](h,k) = (0,0)[/tex]
Next, calculate the radius.
This is the distance between [tex](0,0)[/tex] calculated above and any of [tex](6,-2)[/tex] [tex](-6,2)[/tex]
Using:
[tex](0,0)[/tex] and [tex](-6,2)[/tex], the radius is:
[tex]r = \sqrt{(0 - (-6))^2 + (0-2)^2}[/tex]
[tex]r = \sqrt{40}[/tex]
The equation is then calculated using:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where:
[tex]r = \sqrt{40}[/tex] and [tex](h,k) = (0,0)[/tex]
[tex](x - 0)^2 + (y - 0)^2 = (\sqrt{40})^2[/tex]
[tex](x )^2 + (y)^2 = 40[/tex]
[tex]x^2 + y^2 = 40[/tex]
[tex]x^2 + y^2 - 40 = 0[/tex]
what is the answer to this ? You have to simplify 4(- 3n - 7)
Answer:
-12n-28
Step-by-step explanation:
4(-3n-7)
first- use the distribution property (4*-3n and 4*-7)
so, -12n-28
Answer:
-12n -28
Step-by-step explanation:
4(- 3n - 7)
-12n -28
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
bat dalawa po iyang gi pa question nyo
what is the ordered pair for -x-4y=-10
A line that is parallel to the line y=3x-8 and passes through the point (-1,6)
The equation of the parallel line is...
Answer:
y = 3x + 9
Step-by-step explanation:
If the line is parallel, that means it will have the same slope. So, the line will also have a slope of 3.
Using y = mx + b, plug in the slope and given point, and solve for b:
y = mx + b
6 = 3(-1) + b
6 = -3 + b
9 = b
Plug in the slope and b into y = mx + b
y = 3x + 9
So, the equation of the parallel line is y = 3x + 9
who is correct alex or jo
Answer:
D
Step-by-step explanation:
Neither Alex nor Jo are correct, because surface area is a 2-dimensional quantity, so it would be given in just square units, not linear nor cubic.
HELP ！！！！choose the correct fraction for A,B,C,D.
Step-by-step explanation:
Here, in number lines the fraction are,
A = -4/6 = -2/3
B = -3/6 = -1/2
C = 1/6
D = 5/6
prime factorisation of 8232
Answer:
2 x 2 x 2 x 3 x 7 x 7 x 7
Step-by-step explanation:
it is Wednesday my dudes
Nathan jogged 2 /1 4 m i l e s o n M o n d a y . W e d n e s d a y h e j o g g e d 3 /1 3 m i l e s , a n d F r i d a y , h e j o g g e d 2 / 2 3 m i l e s . How far did Nathan jog altogether?
Answer: 8 1/4 miles
Step-by-step explanation:
I think your question isn't well written and should be:
Nathan jogged 2 1/4 miles on Monday. On Wednesday, he jogged 3 1/3 miles and on Friday, he jogged 2 2/3 miles. How far did Nathan jog altogether?
This will be:
= 2 1/4 + 3 1/3 + 2 2/3
= 2 3/12 + 3 4/12 + 2 8/12
= 7 15/12
= 7 + 1 3/12
= 8 3/12
= 8 1/4 miles
An artist makes paperweights in the shape of square pyramids. The paperweights are filled with yellow sand. How much sand does the artist need to fill this paperweight?
Answer: he needs to mesure
Step-by-step explanation:
CAN SOMEBODY HELP. Unscramble the words to correctly to state a fact.
Respiration usable energy cellular create cells through
Answer:
Cells create usable energy through Cellular Respiration.
Step-by-step explanation:
If you think about it, cellular respiration is the way cells make their food, or usable energy. Therefore, the answer would be up above-------------------------^^
PLZ PLZ HURRY I WILL GIVE BRIANLEST
Which inequality does this graph show?
A. 2y + 3x > 4
B. 3y + 2x > 4
C. 3x – 2y > 4
D. 2y – 3x > 4
Answer:
Choice A
Step-by-step explanation:
Solve for y
Choice A
2y + 3x > 4
y > -[tex]\frac{3}{2}[/tex]x + 2
Choice B
3y + 2x > 4
y > -x + 2
Choice C
3x – 2y > 4
y < [tex]\frac{3}{2}[/tex]x - 2
Choice D
2y – 3x > 4
y > [tex]\frac{3}{2}[/tex]x +2
whats the answer to number one?
Answer:
2³ * 2² = 2³⁺² = 3⁵
Step-by-step explanation:
2³ * 2² = 2³⁺² = 3⁵
[(2³)² = 2³ˣ² = 3⁶]
Rate of change (-4,6)
Answer:
The calculation for ROC is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.
Step-by-step explanation:
Only 1/3 of the students who run in each event win medals at the track meet if nine students are running the mile how many of them will win a medal
Answer:
I am not too sure but I think 1/3
Step-by-step explanation:
Simply the expression.
10(6y + 12) + 8(7y - 4)
Answer: 116y+88
Step-by-step explanation:
Distribute:
60y+120+56y-32
Combine like terms:
116y+88
Answer: 116y+88
Step-by-step explanation:
10(6y+12)+8(7y-4)
Distribute 10 and 8
60y+120+56y-32
Combine like terms
116y+88
Jade spent ⅓ of her math homework time working on word problems. What fraction of an hour did she spend working on word problems?
Answer:
If total maths hw time = 90 minutes, time spent on word problems = 1/2 hour
Step-by-step explanation:
Let the time available for maths homework be = 90 minutes. It is equal to 1.5 hour (as 1 hour = 60 minutes, 0.5 hour = 30 minutes).
1/3rd of maths homework time, ie 1/3rd of 90 minutes = 30 minutes, is used in doing word problems. These 30 minutes correspond to half (1/2 or 0.5) of an hour, as 1 hour = 30 minutes.
What is Dario's hourly salary?
Answer:
Dario's hourly salary
is $11
Use properties of operations to write an equivalent expression by combining like terms.
7h - 3h
Answer: 4h
Step-by-step explanation:
Rewrite with only sin x and cos x.
sin 3x - cos x
Answer:
sin (3 x) - cos (x)=
= sin (2x + x) - cos (x)=
= sin 2x * cos x + cos 2 x * sin x - cos x = ( using additional formulas )
= 2 sin x cos² x + ( cos² x - sin² x ) sin x - cos x =
= 2 sin x cos² x + ( 1 - sin² x - sin² x ) sin x - cos x =
= 2 sin x cos² x + ( 1 - 2 sin² x ) sin x - cos x =
= 2 sin x cos² x + sin x - 2 sin³ x - cos x
Answer: B )
Step-by-step explanation:
3(2x-4)>-12 solve for x?
Answer:
x > 0
Step-by-step explanation:
6x -12 > -12
6x > -12 +12
6x > 0
x > 0/6
x > 0
Please help!! asap!!!^^
Answer:
okayy where is question
Step-by-step explanation:
A car is purchase at $20000.The value of the car depreciates at 12.5% a year. What will the value of the car be to the nearest cent after 11 years
Answer: $4603.82
Step-by-step explanation:
Given
The initial cost of a car is [tex]P=\$20,000[/tex]
The rate of depreciation is [tex]i=12.5\%[/tex]
Depreciated value after n years is given by
[tex]\Rightarrow P(1-\frac{i}{100})^n\quad \text{where n=no. of years}[/tex]
Value after 11 years
[tex]\Rightarrow 20,000(1-\frac{12.5}{100})^{11}\\\\\Rightarrow 20000(0.875)^{11}=\$4603.82[/tex]
What is the simplified form of 3V7-5V7? A.-2V7 B.2V7 C.-V14 D.15V7
Answer:
A -2V7
Step-by-step explanation:
you just have to subtract the coefficients
3-5=-2
-2V7
Answer:
-2√7
Step-by-step explanation:
Assuming the 'V's are supposed to be radical signs:
[tex]3\sqrt{7}-5\sqrt{7}\\\\(3-5)\sqrt{7}\\\\\boxed{-2\sqrt{7}}[/tex]
Hope this helps.
Sorry need these ASAP too!
Answer:
a) 12xy
b) 30pqr
Step-by-step explanation:
multiply the numbers and since x and y are not common terms then keep them as xy multiplied with 12
same goes with b)
Answer:
a would be 12xy
b would be 30pqr
Step-by-step explanation:
Again, don't really know how to explain, just multiply the numbers and add on the letters
ben eats approximately 2,400 calories per day, his wife sarah eats 5/8 as much, how many calories does sarah eat per day?
Answer:
1,500 calories
Step-by-step explanation:
2,400 ÷ 8 = 300
300 × 5 = 1,500
A rectangular cake measures 12 inches wide, 15 inches long, and 4 inches high.
If the bottom of the cake is not frosted, how much frosting will be needed?
Answer:
B. 180
Step-by-step explanation:
What is the quotient of
5/7 divided by 3 1/3?
Answer:
Step-by-step explanation:
5/7 ÷ 3 1/3 = 5/7 ÷ 10/3
[tex]= \frac{5}{7}* \frac{3}{10}\\\\= \frac{1}{7}* \frac{3}{2}\\\\= \frac{3}{14}[/tex]
Anika is 7 years older than Kit. If Kit is k years old, how old is Anika?
Answer:
k+7
Step-by-step explanation:
because k is the age of kit so Anika is 7 years older, so u have to add
sorry if I'm wrong
PLEASE HELP WILL GIVE BRAINLIEST
Points (-2, 4) and (-1,1) lie on the same line. Which of the following equations represents the line?
A. y - 1 = -}(x + 1)
B. y - 1 = -3(x + 1)
C. y - 1 = -}(x - 1)
D. y - 1 = -3(x - 1)
Answer:
A
Step-by-step explanation:
There are 2 ways you can do this. I'll show you one!
1. Find the Slope
a. use the slope formla: (y1-y2)/(x1-x2)
(4-1)/(-2-1)= 3/-3= -1
This eliminates both B and D, as their slopes are -3
2. Now analyze the last 2 equations
a. A goes through the ordered pair (-1, 1)
b. C goes through the ordered pair (1, 1)
The line we want goes through (-1, 1), so A is the correct answer!
[tex]y-1=-3(x+1)[/tex] equation represents the line.
What is point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
Given points
[tex](x_{1} ,y_{1} )[/tex] = (-1, 1)
[tex](x_{2} ,y_{2} )[/tex] = (-2, 4)
Using point slope form
We know that the equation of line passing through points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] is
[tex]y-y_{1} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }( x-x_{1})[/tex]
Therefore equation of line passing through points (-1, 1) and (-2, 4) is
[tex]y-1=\frac{4-1}{-2+1}(x-(-1))[/tex]
[tex]y-1=\frac{3}{-1} (x+1)[/tex]
[tex]y-1=-3(x+1)[/tex]
Option B is correct.
Find out more information about point-slope form here
brainly.com/question/24436844
#SPJ2
In two weeks, your class collected more than 380 cans of food for the annual food drive. In the first week, 145 cans were collected. How many cans c of food were collected in the second week? Write and solve an inequality.
145 + c < 380; c < 235
c + 145 > 380; c > 525
c − 145 ≥ 380; c ≥ 525
145 + c > 380; c > 235
Answer:
Step-by-step explanation:
145+c>380 subtract 145 from each side
c>235 so the answer is
145+c>380; c>235