Answer:
The equation would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.
Step-by-step explanation:
Firstly, we need to find the radius of the circle. In this case, through the Pythagorean theorem, we can find it to be √(9-4)^2 + (4-3)^2 = √25 + 1 = √26.
Therefore, the equation of the circle would be (x – h)^2+ (y – k)^2 = r^2, where h and k are the x and y-coordinates of the center of the circle respectively, and r is the radius. Hence, the equation of this circle would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.
Hope this helped!
Answer:
(x - 3)² + (y - 4)² = 26Step-by-step explanation:
Equation in standard form:
(x - h)² + (y - k)² = r²,where (h, k) is the center and r- radius
On the graph we have (h, k) = (3, 4)
Find the r² using the distance formula:
r² = ( 4 - 3)² + (9 - 4)² = 1² + 5² = 26The equation is:
(x - 3)² + (y - 4)² = 26David measures a side of a piece of wood. The length is 8 feet and the width is one-half if the length. What is the area, in square feet, of the piece of wood?
A=lw
A: 4
B: 16
C:32
D:108
Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].
Step-by-step explanation:
Give: Length = 8 feet
Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet
As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.
[tex]Area = length \times width[/tex]
Substitute the values into above formula as follows.
[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]
Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].
which graph is the graph of f(x)= (x - 1)/(x + 2) ?
Answer:
going clockwise from upper left the correct graph is the 2nd one
Step-by-step explanation:
asymptote at -2
whats 3 plus 4 times 3?
Answer:
3+(4*3)=15.....................
Answer:
21
Step-by-step explanation:
3+4=7
7×3=21
you are going to add 3 and 4.
After adding, you multiply 7by 3
giving yout 21
can you guys help me please!
Answer:
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME??!!
Answer:
RO = 17.9
Step-by-step explanation:
If they're similar, the fraction between their sides need to be equal, so do this:
NK/NM = RO/RQ
71.6/64 = RO/16
71.6•16/64 = RO
RO = 17.9
Solve x2 + 8x + 7 = 0 by completing the square. Which equation is used in the process?
Answer: x = -1, -7
Step-by-step explanation:
I used internet
Answer:
x = -1 or x = -7
Step-by-step explanation:
x^2 + 8x + 7 = 0
x^2 + 8x + ____ = -7 + ____
To complete the square, we add the square of half of the x-term coefficient to both sides.
x-term coefficient: 8
half of it: 4
square it: 4^2 = 16
We add 16 to both sides.
x^2 + 8x + 16 = -7 + 16
(x + 4)^2 = 9
x + 4 = +/- sqrt(9)
x + 4 = 3 or x + 4 = -3
x = -1 or x = -7
1.en cada unos de los siguientes monomios identificó el coeficiente y la parte literal , halló el grado y el valor numérico para los valores . ×=3,Z =5. (a) 3ײ (b) 4ײ y (c) - 5ײy²z².
porfa me ayudan
Find the value of z.
A. 118
B. 100
C. 93.5
D. 42.5
Answer:
[tex](180-73)=z+114/2[/tex]
[tex]107*2=z+114[/tex]
[tex]z=214-114[/tex]
[tex]z=100[/tex]
❄ B. 100
------------------------
hope it helps...
have a great day!!
In the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.
What is circle?Circle is a shape consisting fall points in a plane thata are at a given distance from a given distance from a given point which is the centre of the circle.
How to find angle?In the circle we can see the following:
(180-73)=(z+114)/2
107*2=z+114
214=z+114
z=214-114
=100
Hence in the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.
Learn more about angles at https://brainly.com/question/25716982
#SPJ2
Determine a function a(w) that models the area of the top surface of the swimming pool in terms of the width , w
Answer:
[tex]A(w) = (40 - w) * w[/tex]
Step-by-step explanation:
Given
[tex]P = 80[/tex] ---- perimeter
Required
Write the area as a function of width
The perimeter of a rectangle is:
[tex]P =2(l + w)[/tex]
Where
[tex]l \to length\\ w \to width[/tex]
So, we have:
[tex]80 = 2*(l+w)[/tex]
Divide by 2
[tex]40 = l + w[/tex]
Make l the subject
[tex]l =40 - w[/tex]
The area of a rectangle is:
[tex]A = l * w[/tex]
Substitute: [tex]l =40 - w[/tex]
[tex]A = (40 - w) * w[/tex]
Hence, the function is:
[tex]A(w) = (40 - w) * w[/tex]
evaluate the function for x = -8.
f(x) = -2x - 12
Answer:
4
Step-by-step explanation:
f(-8)=-2(-8)-12
f(-8)=16-12
=4
Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?
Answer:
i think it will be chose 3 times
Step-by-step explanation:
im not sure thats my pridiction
Answer:
0.4
Step-by-step explanation:
What is 4/5 of 2kg in grams
Answer: 1600g
Step-by-step explanation: (4 * 2kg) / 5 = 8/5kg
8/5kg = 1.6kg
1.6kg * (1000g / 1kg) = 1600g
Answer:
1 3/5kg.
Step-by-step explanation:
So, to figure this out, lets go over what we know.
There is 2kg.
We need to find 4/5 of this.
A way you can think of this is 2kg*4/5. Or:
2*4/5
Remember, all whole numbers have a denominator of 1. So this is:
2/1*4/5
Or
[tex]\frac{2}{1} *\frac{4}{5}[/tex]
When doing multipaction, the numerator multipies hte numeraot, and the denominator multiplies the denominator.
So in the numerator, it will be 2 times 4:
2*4=8
And in the denominator, it will be 1 times 5:
1*5=5
So the answer is:
8/5
Hope this helps!
Help ASAP math homework no spam links or i will report
Answer:
[tex]x = \frac{19-2y}{3}[/tex]
[tex]y=-\frac{3x+19}{2}[/tex]
Step-by-step explanation:
4x + y = 22
y = x - 3
4x + y + y = 22 + x - 3
4x + 2y = 19 + x
4x - x + 2y = 19 + x - x
3x + 2y ÷ 3 = 19 ÷ 3
[tex]x = \frac{19-2y}{3}[/tex]
[tex]y=-\frac{3x+19}{2}[/tex]
Answer:
a)Let's solve for x.
4x+y=22
Step 1: Add -y to both sides.
4x+y+−y=22+−y
4x=−y+22
Step 2: Divide both sides by 4.
4x
4
=
−y+22
4
x=
−1
4
y+
11
2
a)y=x−3
b)y=
−1
2
x+6
b)x=y-12
Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round is 14 feet and it takes 6 seconds for it
to make a complete revolution? Round the solutions to two decimal places.
Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :
[tex]v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s[/tex]
Also,
[tex]v=r\omega[/tex]
Where
[tex]\omega[/tex] is the angular speed
So,
[tex]\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s[/tex]
Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.
in how many ways can a principal choose 3 of their 30 teachers to attend a conference
need ko po ng explanation please.....
Answer:
[tex]4,060[/tex]
Step-by-step explanation:
[tex]\binom{30}{3}=\boxed{4060}[/tex]
There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.
Since the principal is only choosing 3, there are [tex]30\cdot 29\cdot 28=24,360[/tex] permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.
Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is [tex]3![/tex].
Therefore, the desired answer is [tex]\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}[/tex]
Ricky has nine quarters, thirteen dimes, six nickels, and seven pennies. How much money does he have? WHOEVER ANSWERS THIS FIRST GETS BRAINLIEST
Step-by-step explanation:
3.92 - uwuehehrvgrsiehhehehhe
Answer:
He has $3.92.
Hope this helps!
factorize 6×square + 5× - 4 =o
Answer:
6×square + 5× - 4 =o
6×square+(8-3)×-4=0
6×square+8×-3×-4=0
2×(3×+4)-1(3×+4)=0
(3×+4)(2×-1)=0
either,
3x+4=0
3×=-4
×= -4/3
or,
2x-1=0
×=1/2,,
10% divided by 24% divided by 49%
Answer:
[tex]\frac{125}{147}[/tex]
Step-by-step explanation:
10% ÷ 24% ÷ 49%
1/10 ÷ 6/25 ÷ 49/100
5/12 ÷ 49/100
[tex]\frac{125}{147}[/tex]
Segments BD and CE are axes of the ellipse below.
Which of the following reflective symmetries apply to the ellipse below?
Answer:
Yes and Yes
Step-by-step explanation:
If you fold them over on both sides then they overlap perfectly, therefore they are reflective.
Help is needed please..
Answr 2.(1.3)^x
Step-by-step explanation:
IF THE INTEGERS IS 12,-6,8,-5,7,-4,3 ARE MARKED ON THE NUMBER LINE, THE ONE THAT COMES ON THE EXTREME LEFT
Answer:
- 6
Step-by-step explanation:
Given the integers : 12,-6,8,-5,7,-4,3
To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.
Ordered value in ascendibg order :
-6, -5, -4, 3, 7, 8, 12
The value which will. Fall. On the extreme left is : - 6
please i need help, right now!!! i give the person the brainliest answer!! im giving 15 points… please help
Answer:
Ummmm its just a black screen
Step-by-step explanation:
The average height of middle school students at Seton Grove School is found to be 5.25 feet. Which sample makes this generalization valid?
Answer:
every other student who enters the school
Step-by-step explanation:
It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.
It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.
Thus we can say that every other student who enters the school has a average height of 5.25 feet.
This sample makes the generalization about the heights of the school students valid.
Answer:
c
Step-by-step explanation:
correct on edmentum / plato
Please help me i'm struggling!
Answer:
B
Step-by-step explanation:
y = 2x - 4
y + 4 = 2x
x = y/2 + 4/2
x = y/2 + 2
—-
y = x/2 + 2
Answer:
y = x/2 + 2
This is the answer because I got it right on my test.
Please help!! I have a test tomorrow and I'm struggling to answer this question
A periodic function f(x) has a period of 11. The values of f(3) and f(11) are 12 and 27, respectively. What is the value of f(14)?
Answer:
12
Step-by-step explanation:
f(14)= f (3 + 11)
= f(3) = 12
Therefore the value of f(14) is 12.
HELP WITH THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B., E.
Step-by-step explanation:
what was the difficulty ? this is just to understand the movement of a thrown rock.
what happens, when you throw a rock through the air ? it will first move up a little bit, reaches a maximum height, and then drops down again.
that is what the graphic shows.
so, can A. be correct ? no. as we move from 0 seconds to the right (time passes) the height of the rock increases first (before decreasing again later on).
can C. be correct ? no, it would mean that the function would look the same on both sides of the x-axis. this is clearly impossible.
can D. be correct ? no, nowhere in the graph is the height (= the functional value, the y to the x) negative.
can F. be correct ? no, we clearly see the maximum height at 1.5 seconds. at 3 seconds the height is actually at its minimum.
Write the exact value of the side length of a square with an area of
100 square units,
95 square units.
36 square units.
30 square units.
Mr.Caldwell has 10 full size pizzas and half of another one.He wants to share the pizza with 8 of students. Mr.Caldwell doesn't want any pizza.How much pizza did will each student get?
Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]
Step-by-step explanation:
Given
Mr. Caldwell has 10 full pizzas and half of another one
he wants to distribute it in among 8 of his students
Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]
So, each student gets
[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]
that is 1 pizza and five-sixteenth part of a pizza.
Dmitri began working on his homework at 3:15 p.m. He worked for 1 5/6 hours and then stopped to have dinner. He started working on his homework again at 6:32 p.m. and worked for 1 1/3 hours longer. How many minutes did Dmitri work on his homework in all?
1 5/6 + 1 1/3 = 3 1/6
3 1/6 * 60 = 190
what are the factors of x^3-2x^2+x+2