Given:
The endpoints of a diameter are (0,0) and (4,-6).
To find:
The equation of the circle.
Solution:
The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]
[tex]d=\sqrt{36+16}[/tex]
[tex]d=\sqrt{52}[/tex]
[tex]d=2\sqrt{13}[/tex]
Now, radius is half of the diameter.
[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]
[tex]r=\sqrt{13}[/tex]
Center of the circle is the midpoint of the endpoints of a diameter.
[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]
[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]
[tex]Center=\left(2,-3\right)[/tex]
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is radius.
The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,
[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]
[tex](x-2)^2+(y+3)^2=13[/tex]
Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].
Solve 2,341 ÷ 68 = ________
32 r 42
34 r 29
34 r 42
32 r 29
Answer:
it's third one
Step-by-step explanation:
make it braintliest please
Use slopes to determine whether the lines AB and CD are parallel, perpendicular, or neither. SHOW WORK
A(-10, 8) and B (-9,4).
C (-5, 12) and D (2,9).
Answer:
Neither
Step-by-step explanation:
Slope for AB is -4
Slope for CD is -3/7
in order to find the slope use this formula attached
AB -9-(-10) / 4-8 = -4 your y2 is 4 your y1 is 8 / x2 is -9 x1 is -10
CD 9-12 / 2-(-5) your y2 is 9 your y1 is 12 / x2 is 2 x1 is -5
Answer: The lines will be neither
Line A is Purple dot
Line B is Blue dot
Line C is Red dot
Line D is Green dot
a six sided cube is rolled. find the probability of P (4) as a decimal
Answer:
.66
Step-by-step explanation:
HELP NOW PLSSSSS
(where the longer it takes to solve a problem and the fewer people who answer it correctly, the more difficult it is). On each subsection, question 1 will be "easy" and question 15 will be considered "difficult." However, the ascending difficulty resets from easy to hard on the grid-ins.
Hence, multiple choice questions are arranged in increasing difficulty (questions 1 and 2 will be the easiest, questions 14 and 15 will be the hardest), but the difficulty level resets for the grid-in section (meaning questions 16 and 17 will again be "easy" and questions 19 and 20 will be very difficult).
the answer is 4/.12
:)
Answer:
Hence, multiple choice questions are arranged in increasing difficulty (questions 1 and 2 will be the easiest, questions 14 and 15 will be the hardest), but the difficulty level resets for the grid-in section (meaning questions 16 and 17 will again be "easy" and questions 19 and 20 will be very difficult).
What is the question??
What is the sum (-19X10) + 7
Answer:
-19×10= -190
-190+7= -183
Let y be a function of x such that 8x+7y=51 what is the rate of change of y with respect to x
Answer: -8/7
Step-by-step explanation:
Mrs. Rodrigues was selling two kinds of raffle tickets for $1.50 and $3.50. The number of $1.50 tickets sold was 5 more than three times the number of $3.50 tickets sold. She earned a total of $1,607.50. How many $1.50 tickets were sold?
$1.50 tickets
Answer:
605
Step-by-step explanation:
Answer:
the answer would be 605!!!
Step-by-step explanation:
hope this helps!!
Linda is adding padding to all of the surfaces inside her attic for extra warmth in the winter.
She needs to find the approximate surface area of the attic, including the walls, floor, and
ceiling. The attic is in the shape of a triangular prism. Linda draws the net and writes
the expression below to represent the surface area of the attic. Are Linda's net and
expression correct?
We have that Linda's net and expression incorrect
With the Expression of the surface area of attic
[tex]45(40+25+25)+1/2(40*15)[/tex]
Surface area is
[tex]X=4050+600\\\\X=4650ft^2[/tex]
So for the Question is Are Linda's net and expression correct?
The answer is No Because
Her expression for the triangles are incorrect
[tex]1/2(40*15)[/tex]
Instead of
[tex]1/2*40*(15)[/tex]
Hence
Linda's net and expression incorrect
For more information on this visit
https://brainly.com/question/23246712
Answer:is 5/4/37/2
Step-by-step explanation:
Oh my god please help.
Answer:
its A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:A would be the correct answer because for 1 cup there is 1 1/2 teaspoons. For b one cup of water would have 1/4 a teaspoon of powder and same for c so the ANSWER IS A!!!
Which number(s) below belong to the solution set of the equation? Check all that apply.
x + 10 = 40
A. 40
B. 80
C. 400
D. 4
E. 30
F. 50
Answer:
E only
Step-by-step explanation:
Bathroom tiles cost £1.65 each.
Work out the total cost of 90 tiles.
Answer:
£144.00
Step-by-step explanation:
1.60 x 90 = 144
Hope this Helps (✿◡‿◡)
Answer:
£148.50
Step-by-step explanation:
you first have to change £1.65 into a whole number
165×90=14850
14850 × 100 = 148.50
the quotient of 5 ÷A is equal _ the quotient of A ÷ 5
Answer:
5÷A and A÷5=A×A and 5×5=A=25
14.976 divided by 6 with remainder
Answer:
0
Step-by-step explanation:
it's divided evenly with no remainder
:) 2x+6y=23
2x+6y= 14
Answer:
No solution
Step-by-step explanation:
text me (850)-814-8472.
Answer: kk
Step-by-step explanation:
The blue dot is at what value on the number -7 -9 line?
Answer: Y=-7 X=-9
Step-by-step explanation:
please help. im pretty stumped
Answer:
-
you write the answer here
Step-by-step explanation:
and explain here
For the equation, decide if it is always true or never true.
x − 3 = 2x − 3 − x
Answer:
true
Step-by-step explanation:
can someone explain because im confused
Answer:
I'm pretty sure it is yes
Step-by-step explanation:
7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.
Consider the following problem: There are 722 identical plastic chips numbered 1 through 722 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 552
Answer:
Probability of reaching Chip number 552 = 1 / 722
Step-by-step explanation:
Given:
Total number of chips = 722
Chip number selected = 552
Computation:
Probability of reaching Chip number 552 = Number of chip selected / Total number of chips
Probability of reaching Chip number 552 = 1 / 722
Add parentheses to the expression so that its value is 45:
5 × 4 + 8 - 3
no parentheses are needed
5 × (4 + 8 - 3)
5 × (4 + 8) - 3
5 × 4 + (8 - 3)
Answer:
first one
Step-by-step explanation:
solve this one problem 1X13 and only this problem the problem that says 1x13 no other problem.
11111111111111111111111111111111111111111+23333333333333333+000000000000999999999999999999999999999999=
Answer:
13
Step-by-step explanation:
because...math
Over Fall break, Tory read 5 times as many pages as her brother and sister combined. Tory read 1840 pages and her brother read 200 pages. How many pages did her sister read? Write an equation and solve for the number of pages her sister read.
Answer
368
Step-by-step explanation:
1840÷5=368
Answer:
170,
Step-by-step explanation:
my explanation is commented on the other persons answer
3/4 divided by 1/2
Step by step explanation
Answer:
1.5
Step-by-step explanation:
When we divide two fractions, such as 3/4 ÷ 1/2, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
We also simplify the answers to fraction problems whenever possible.
Answer: 3/2 or 1 and 1/2
Step-by-step explanation: Remember that dividing by a fraction
is the same thing as multiplying by the reciprocal of the fraction.
The reciprocal of a fraction is just that fraction flipped.
So 3/4 ÷ 1/2 can be rewritten as 3/4 × 2/1.
Before multiplying however, notice that we
can cross-cancel the 2 and 4 to get 1 and 2.
Finally, multiplying across the numerators and
across the denominators, we have 3/2 or 1 and 1/2.
Someone please help me
Answer:
them some expensive pencils
Theresa's computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family's phones, tablets, and cloud storage? Type your answer in scientific notation. Her family's phones, tablets and cloud storage equal 9.6 gigabytes.
Answer:
Hope this helps! ( if not then sorry)
In scientific notation, the answer is [tex]7.9232 \times 10^{12}[/tex] bits.
To calculate the additional storage in bits that Theresa's computer has compared to her family's phones, tablets, and cloud storage, we first need to convert the 1 terabyte to bits and the 9.6 gigabytes to bits.
1 terabyte = 1,000,000,000,000 bytes
1 byte = 8 bits
So, 1 terabyte = 8 × 1,000,000,000,000 bits
= 8,000,000,000,000 bits
9.6 gigabytes = 9.6 × 1,000,000,000 bytes
= 9,600,000,000 bytes
9.6 gigabytes = 8 × 9,600,000,000 bits
= 76,800,000,000 bits
Now, we can calculate the difference in bits:
Difference = Theresa's computer storage - Family's phones, tablets, and cloud storage
Difference = 8,000,000,000,000 bits - 76,800,000,000 bits
Difference = 7,923,200,000,000 bits
Difference = [tex]7.9232 \times 10^{12}[/tex] bits.
Thus, in scientific notation, the answer is [tex]7.9232 \times 10^{12}[/tex] bits.
Learn more about the Scientific Notation here :
https://brainly.com/question/20533245
#SPJ2
4 ÷ 0.2= ??? what is it?
Answer:
20
Step-by-step explanation:
Round 0.71 to the nearest tenth.
0.5
0.7
0.75
0.8
Answer:
0.7
Step-by-step explanation:
This one is simply pretty easy. the 7 in this is in the tenths place, and the 1 in this is in the hundredths place
solve 2x-3y=3 for y can i get some help
Can someone answer this?:(( I really need it
Answer:
What lesson in math is this?
Step-by-step explanation:
So that I can search it and then help you
