The center of a circle is located at the point (1,1). The point (6,3) is located on the circle.
What is the radius of the circle?
Answer:
Square root of 29
Step-by-step explanation:
The required radius of the circle would be √29 units which circle with a center at (1, 1) and a point on the circle is (6, 3).
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
Given that a circle with a center at (1, 1) and a point on the circle is (6, 3).
Since the circle passes through points (6, 3),
So the radius (r) of the circle is the distance between points (1, 1) and (6,3).
⇒ r² = (6 - 1)² + (3 − 1)²
⇒ r² = (5)² + (2)²
⇒ r² = 25 + 4
⇒ r² = 29
⇒ r = √29
Therefore, the required radius of the circle would be √29 units.
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4.
What is the result of (f X g)(x) if
f(x) = -3x + 11 and g(x) = 11x + 7?
( 33x² 100x - 77
(B 33x - 142x - 77
C -33x + 100x + 77
D -33x² + 142x + 77
Answer:
thank you
Step-by-step explanation:
thanks for the pts i need them sowwy
Abigail invested $29,000 in an account paying an interest rate of 2.1% compounded continuously
Answer:
6090
Step-by-step explanation:
need help fast
The graph of y^2 + 8y – 4x – 24 = 0 is a parabola. Where is the focus located?
Answer:
It’s (-9,-4)
Step-by-step explanation:
Edge
The focus of the graph of the function is located at (−9,−4).
Given that, the graph of y²+ 8y – 4x – 24 = 0 is a parabola. We need to find where is the focus located.
What is vertex form?The vertex form of an equation is an alternate way of writing out the equation of a parabola. Normally, you'll see a quadratic equation written as ax²+bx+c, which, when graphed, will be a parabola.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Right
Vertex: (−10, -4)
Focus: (-9, -4)
Axis of Symmetry: y=−4
Directrix: x=−11
Therefore, the focus of the graph of the function is located at (−9,−4).
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What do the rhombus and the parallelogram shown below have in common?
O Only opposite angles are congruent.
O Only opposite sides are parallel.
O All sides are congruent.
O Both opposite sides and opposite angles are congruent.
Answer:
Your Answer is D, Both opposite sides and angles are congruent
Step-by-step explanation:
I'm just going to write a load of BS here to see if i cant get the answer to show up so all of you wonderful people don't have to waste so much time on watching a video, so instead you can get your answer for free, and also for a proper explanation I looked this question up, didn't fund anything so I guessed and got it correct, hope this helped.
Answer:
D
Step-by-step explanation:
Need answers for 5 and 6 please it’s algebra math hurry please
3(c+4) what's da answer
Answer:
c=4
Step-by-step explanation:
3(c+4)
3c+12
c=4
I hope this is correct and have a great day
Which two expressions are equivalent to 30+45
Answer:
there aren't any options, but anything that's = to 75 will be equivalent to this expression
Step-by-step explanation:
Work out the value of (√5)^2 x (√3)^2?
.The square of a real number c is 11 less than the square of 5.
In an earlier chapter we learned that
32=3⋅3=9
We said that 9 was the square of 3. The square of -3 is 9 as well
(−3)2=(−3)⋅(−3)=9
3 and -3 are said to be the square roots of 9.
All positive real numbers has two square roots, one positive square root and one negative square root. The positive square root is sometimes referred to as the principal square root. The reason that we have two square roots is exemplified above. The product of two numbers is positive if both numbers have the same sign as is the case with squares and square roots
a2=a⋅a=(−a)⋅(−a)
A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand.
a−−√
To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.
±9–√=±3
Zero has one square root which is 0.
0–√=0
Negative numbers don't have real square roots since a square is either positive or 0.
If the square root of an integer is another integer then the square is called a perfect square. For example 25 is a perfect square since
±25−−√=±5
If the radicand is not a perfect square i.e. the square root is not a whole number than you have to approximate the square root
±3–√=±1.73205...≈±1.7
The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers. The decimal form of an irrational number will neither terminate nor repeat. The irrational numbers together with the rational numbers constitutes the real numbers.
Example
irrationalnumber⇒19−−√≈4.35889...
rationalnumber⇒0.5=12
The value of c if, The square of a real number c is 11 less than the square of 5 is 3.74.
What is equation?In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
The square of a real number c is 11 less than the square of 5,
Write the equation as shown below,
c² = 5² - 11
c² = 25 - 11
c² = 14
c = √14
c = 3.74
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The complete question is, The square of a real number c is 11 less than the square of 5, find the value of c?
Find the angle PQR [Geometry]
Answer:
5⁰
Step-by-step explanation:
Angle on A STRAIGHT line sums up to 180⁰
angle PQR and angle RQS are both on a straight line therefore they sum up to 180⁰
4x+129+5x+6=180
then here you group like terms
4x+5x=150-129-6
9x=45
divide both sides by 9
9 dividing 45 is 5
The complement of an angle is 59°. What is the measure of the angle?
need help quick, i have a timer
Answer:
You should be good with A
Step-by-step explanation:
Divide. 5,346 ÷ 29 Enter your answer in the boxes as a mixed number in simplest form.
Answer:
[tex]190\frac{26}{29}[/tex]
Step-by-step explanation:
____190__
29 | 5346
-29 (29*100=2900)
________
2446
-232 (29*90=232)
________
26
Therefore, the answer is [tex]190\frac{26}{29}[/tex]
In the mixed form we can write → 5346 ÷ 29 as [tex]$184\frac{10}{29} .\\[/tex]
We have the following operation -
5346 ÷ 29
We have to write the result of above division in mixed form.
What is Division Algorithm ?The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-
a = bq + r
where 0 ≤ r < b.
This is also known as Euclid's division lemma.
According to the question, we have -
5346 ÷ 29
Let A = 5346 ÷ 29. Therefore -
A = [tex]$\frac{5346}{29} = 184\frac{10}{29} .\\[/tex]
Hence, in the mixed form we can write → 5346 ÷ 29 as [tex]$184\frac{10}{29} .\\[/tex]
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Hello! :)
Please help me answer this question ! And explain how you answers it. I will give brainslt :)
Answer:
The correct answer is A.
Step-by-step explanation:
The rule with a function is every input has exactly one output. In the answer choices b, c, and d all of them has a repeating input or x value.
The histogram below displays the distribution of 50 ages at dHere are the number of hours that 9 students spend on the computer on a typical day:_______.
3 3 5 7 7 9 9 9 12
What is the mode number of hours spent on the computer?
Answer:
9
Step-by-step explanation:
There are 9 students who spend the following number of hours in a typical day on the computer.
3,3,5,7,7,9,9,9,12
The mode is the number that is of the highest frequency in any given set of values.
The mode number of hours is the highest number of hours spent on the computer.
The number 9 occured the most times. Therefore the mode hour is 9
A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
1) His plane speed equals ______ mph
2) The wind speed equals ______ mph
Answer:
1.) 120 mph
2.) 30 mph
Step-by-step explanation:
Given that a man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
Let the wind speed = w
and the plane speed = p
From the first sentence,
P - w = 180/ 2
P - w = 90 ....... ( 1 )
From the second statement,
P + w = 180/1.2
P+ w = 150 ...... ( 2 )
Solve equation 1 and 2 simultaneously
P + w = 150
P - w = 90
Add the two equations
2P = 240
P = 120 mph
Substitute p in equation 1
W = 150 - 120
W = 30
Therefore, the wind speed is 30 mph and the plane speed is 120 mph
Help, asap lol I forgot what it was and didn't take notes.
problem in photo attached ^.^
Answer:
Identity property of division
Step-by-step explanation:
Need help with some questions
https://kami.app/Cg5YfnU2L4ji
Answer:
Step-by-step explanation:
Thanks I will go there soon
what does n equal? btw this is 6th grade! also < Is between 3 and 5
Answer:
n < 4
Step-by-step explanation:
[tex]\frac{1}{2} n+3<5[/tex]
-3 -3
[tex]\frac{1}{2} n[/tex] < 2
divide both sides by [tex]\frac{1}{2}[/tex]
n < 4
Hope this helps!!!
What is the distance between point A and point C on the number line?
А
8
B
10
с
5
D
6
10 units is the distance between point A and point C on the number line.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the distance between point A and point C on the number line.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
The length along a line or line segment between two points on the line or line segment is known as distance.
The point A is at -3.
The point C is at 7
Now the distance between A and C is AC.
AC=OC-OA
=7-(-3)
=7+3
=10
Hence, 10 units is the distance between point A and point C on the number line.
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write an equation of the line that passes through 4,-2 and is parallel to y=-4x+1
Answer:
y=-4x+14
Step-by-step explanation:
A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)
Luke earned a grade of 88% on his multiple choice history final that had a total of
200 problems. How many problems on the final exam did Luke answer correctly?
Answer:
176
Step-by-step explanation:
88% = 88/100
88 × 2 = 176
176/200
Answer:
176 is the answer
276.2 rounded to the nearest tenth
Answer:
276.2 rounded to the nearest 10th is 276.2.....
Step-by-step explanation:
Answer:276.2...
Step-by-step explanation:
What single principal deposit is needed?
Answer:
It’s C
Step-by-step explanation:
Please help!! ASAP!!!
Answer:
125 cm
Step-by-step explanation:
I am 100% sure because I did the math
Can someone please help my brain can’t process information anymore
Answer:
A day because within a day Chris bags left is 6 and evans too 6 bags left
help me, please I am in need for
Answer:
I think it must be between 75 and 76
If you are able to answer this I’ll give most Brainly and I need it in about 20 min
Nov
Month June July Aug Sept Oct
Rainfall (in.) 6.14 7.19
8.63
8.38 6.47
2.43
2. The table shows monthly rainfall in inches for
five months. Identify the outlier in the data set.
Determine how the outlier affects the mean,
median, and mode of the data. Then tell which
measure of center best describes the data with
and without the outlier. Round to the nearest
hundredth. Justify your selection.
okay, first to figure out the IQR of the table you need to organize them from least to greatest.
2.43, 6.14, 6.47, 7.19, 8.38, 8.63
to find the middle number of all of these you add them all together and divide by 6, which is the total amount of numbers there.
2.43 + 6.14 + 6.47 + 7.19 + 8.38 + 8.63 = 39.24
39.24 / 6 = 6.54
now that we have the IQR, next we find the outlier. to find the outlier you multiply the IQR by 1.5 which is 6.54 x 1.5 = 9.81 <- outlier
Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
2.43 + 6.14 + 6.47 + 7.19 + 8.38 + 8.63 + 9.81 = 49.05
49.05 / 7 = 7.00 (Rounded)
I tried my best to solve this, sorry if it doesn't help.
Tropical Storm Zeta will bring 0.36 in. of rain to New Orleans. Which fraction is equivalent to this amount of rain in inches?
Answer: 9/25 inches of rain
Step-by-step explanation: Put the decimal (0.36) over its place value (100), which turns it into 36/100. Now, simplify by dividing the numerator (36) and the denominator (100) by the greatest common factor (4), to get the answer 9/25.