Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
Consider the equation:
x2 + y2 - 2x + 8y + 13 = 0
+
What is the center and radius of the circle?
Answer:
Center: (1,−4)
Radius: 2
Step-by-step explanation:
The population of Atlanta Georgia in the year 2000 was 417,000 people. If the population increases at a rate of 1.2% each year, find the approximate population of Atlanta in
2020.
Step-by-step explanation:
geometric sequence :
a0 = 417,000
a1 = a0 × 1.012 (that is adding 1.2% for 2001)
a2 = a1 × 1.012 = a0 × 1.012²
an = a0 × 1.012^n
a20 (for the year 2020 after starting in 2000) =
= a0 × 1.012²⁰ = 417,000 × 1.012²⁰ = 529,354.1291...
if we need to round that to a full number, we get
≈ 529,534
our round it to full thousands
≈ 530,000
i don't know what result format you need. please pick the required one.
A triangle has two side lengths: 18 in and 12 in. Which of the following could be the length of the third side?
Answer:
6<L<30
Step-by-step explanation:
because we know that the third side needs to be in between the sum of the other two it has to be less than 30 and then because it needs to apply to the other sides it is greater then 18-12 or 6.
A grocery store recently sold 20 cartons of yogurt, of which 5 were cherry. Based on past data, how many of the next 16 cartons of yogurt sold should you expect to be cherry?
Answer: 4
Step-by-step explanation:
A bag of marbles includes only green and red marbles. The results of an experiment are shown in the table below. What is the experimental probability of selecting red, or green?
Answer:
100%
Step-by-step explanation:
There is no table, but if there is only a green or red in the bag, then the probability of selecting a green or a red is 100%.
Simplify
1/3 + 4/x-2 = 6
Answer:
1/3+4/x-2=6
Step-by-step explanation:
your is answer 6
Distance time and speed
Scale factor word problem
Someone please help me!
1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.
How many centimeters will there be between his house and school on the map?
1 cm = 5km
8.5 ÷ 5 = 1.7
There will be 1.7 centimeters between his house and school.
What can you discern about the nature of work on miguel street based on your close reading of the first chapter
The context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry.
What are context clues?Context clues are the hints that are given in a literary work. They're important for readers to understand a story.
In this case, the context clues show that the nature of work on miguel street based on your close reading of the first chapter is carpentry. This was illustrated by Popo who was a carpenter.
Learn more about context clues on:
https://brainly.com/question/26349330
The context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry.
What context clues?Context clues are the hints that are given in a literary work. They're important for readers to understand a story.
In this case, the context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry. This was illustrated by Popo who was a carpenter.
Learn more about context clues on:
brainly.com/question/26349330
#SPJ4
Which value is equivalent to the expression 3^2 × 3^3?
Answer:
243
Step-by-step explanation:
3^2 x 3^3 is the same as 3x3 x 3x3x3 which is 9x27 which is 243
7.7 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 115 cm3.
The height of the water bottle is 7.7 cm. What is
the radius of the water bottle? Use 3.14 for r.
Step-by-step explanation:
I guess the 3.14 is to be used for pi (and not r, which is what we need to find out).
the volume of a cylinder is ground area × height.
the ground area is the area of a circle, which is pi×r².
so, we have
pi×r²×height = 115 cm³
3.14×r²×7.7 = 115 cm³
3.14×r² = 14.93506494...
r² = 4.756390107...
r = 2.18091497... cm
Cooper is throwing a dinner party. He says about 67 people are coming to the party. He is paying a company to make the food, and they said each person would cost about $15. To add drinks, each person would cost $3. How much money will Cooper be spending for food and drinks at his party if you round the number of people to the nearest tenth digit? What is a way you can solve this estimation problem? Select all that apply.
Round the $15 to $20, the $3 to $5 and the 67 to 70 before you do anything else.
Round the 67 to 70, add the $15 and the $3 and then multiply the 2 answers.
Round 67 to 70. Multiply 70 by 15 and 70 by 3 and then add the answers.
Add the amount for food and drinks then multiply by how many people there are.
Answer:
Round the 67 to 70, add the $15 and the $3 and then multiply the 2 answers.
Round 67 to 70. Multiply 70 by 15 and 70 by 3 and then add the answers.
Step-by-step explanation:
you get the same answer both ways.
A bag contains 60 marbles that are red, blue, and green. The ratio of red to blue marbles is 13:3, and the ratio of blue to green marbles is 3:4, If 3 marbles are removed and replaced with 3 green marbles, what will be the new ratio of red to green marbles?
I'm Confused can someone help?
Answer: 6:4
Step-by-step explanation: The total of marbles doesn't change just the green total total.
Answer:
3 marbles of what are removed (green red or blue)
Step-by-step explanation:
60 marbles=red+blue+green
red:blue
(13 : 3)
blue:green
( 3 : 4)
red:blue:green
13 : 3 : 4
13/20×60=39 red marbles
3/20 × 60=9 blue marbles
4/20× 60= 12 green marbles
60-3
=57
x-3
An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit.
21.2 + w less-than-or-equal-to 30
How much weight can Lorrie add to the carry-on without going over the 30-pound limit?
Answer: No more than 8.8 pounds.
Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.
We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:
Let us solve for x by subtracting 21.2 from both sides of our inequality.
We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.
1. Find the length of the arc shown in red:
2. Find the area of the circle:
Answer:
Step-by-step explanation:
solve this system of equation using substitution, show your work (ANSWER QUICK PLEASE)
Answer:
One above me is correct 100% :)
Step-by-step explanation:
solve equation find x 6x+6=10x-2
Answer:
[tex] \sf \: x = 2[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex] \sf 6x+6=10x−2 [/tex]
Step 1: Subtract 10x from both sides.
[tex] \sf6x+6−10x=10x−2−10x[/tex]
[tex] \sf−4x+6=−2[/tex]
Step 2: Subtract 6 from both sides.
[tex] \sf−4x+6−6=−2−6[/tex]
[tex] \sf−4x=−8[/tex]
Step 3: Divide both sides by -4.
[tex] \sf \frac{−4x}{−4}=\frac{−8}{−4}[/tex]
[tex] \sf x=2[/tex]
Which statements are correct about the two-way frequency table? check all that apply.
The table displays the quantitative data, two teachers do not wear glasses, and a total of 6 teachers were polled. Then the correct option is A, C, and E.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
The table is shown below.
Wear glasses Don't wear glasses Total
Student 32 97 129
Teacher 4 2 6
Total 36 99 135
The table displays the quantitative data.
Two teachers do not wear glasses.
A total of 6 teachers were polled.
More about the decision-making link is given below.
https://brainly.com/question/3369578
Answer: The Answer is B and E
Step-by-step explanation:
The graph of the function f(x) = x2 is shifted 2 units up and 1 unit to the right. Which of the following corresponds to the shifted graph?
Answer:
g(x) = (x - 1)^2 + 2.
Step-by-step explanation:
1 unit to the right x---> (x - 1)
2 units up ------ f(x) moves up ---> + 2
answer is (x - 1)^2 + 2
So I have this question here, can someone please help me?
Answer:
Use tan trig ratio:
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where [tex]\theta[/tex] is the angle, O is the side opposite the angle, and A is the side adjacent the angle
Given:
[tex]\theta[/tex] = 39°O = 10[tex]x[/tex] = ASubstituting these values into the formula:
[tex]\implies \tan(39)=\dfrac{10}{x}[/tex]
Multiplying both sides by [tex]x[/tex]:
[tex]\implies x\tan(39)=10[/tex]
Dividing both sides by [tex]\tan(39)[/tex] :
[tex]\implies x=\dfrac{10}{\tan(39)}[/tex]
[tex]\implies x=12.34897157...[/tex]
[tex]\implies x=12.3 \ \textsf{(nearest tenth)}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\rightarrowtail tan51=\dfrac{x}{10}[/tex]
[tex]\\ \rm\rightarrowtail x=10tan51[/tex]
[tex]\\ \rm\rightarrowtail x=10(1.2348971565350)[/tex]
[tex]\\ \rm\rightarrowtail x=12.348971565350[/tex]
Plisss help with this oneeee
Answer:
y = 1/2 x - 5
Step-by-step explanation:
use the equation y=mx+b where m= the slope of the line and b=the slope-intercept (the point where the line crosses the y axis)
the slope is 1/2 and the slope-intercept is -5
Answer:
y=1/2x-5
Step-by-step explanation:
grad=change in y/change in x
=(-4--5)
----------
(2-0)
=1/2
G=0.5
0.5=y--5
------
x-0
0.5 (x-0)=y+5
0.5x=y+5
-y= -0.5x+5
y=1/2x-5
The prism below is made of cubes which measure of 1/2 a foot on one side. What is the volume?
If ∠QSR≅∠QST and QT=65, what is QR?
Answer:
it would also be 65 degrees because the angles match up and because the statement says that both angles are congruent.
Answer:
QR would equal 65
Step-by-step explanation:
It is 65 because if you look at QSR = QST, this tells you that QT and QR are equal to eachother. :)
Hope this helps!!
Have a wonderful day!!
Please rate and mark brainliest!!
How do I do it and be able to understand it
Problem What is the volume of a cylinder with base radius 4 and height 7?
Answer:
351.86
Step-by-step explanation:
V = π r² h
V = (3.14) (4)² (7)
V = (3.14) (16) (7)
V = 351.86
F(x)=2x^3-3x^2+7
F(-1)=_____
F(1)=_____
F(2)=_____
Answer:
f(-1)=2(-1)³-3(-1)²+7 = 2
f(1)=2(1)³-3(1)²+7 = 6
f(2)=2(2)³-3(2)²+7 = 11
What is the area of this polygon?
Enter your answer in the box.
Help PLSS
(will give brainliest!)
Answer:
D (last one)
Step-by-step explanation:
You figure out the ordered pair for E which is (3,-4)
Then you apply the rule given in the instructions.
so you do 3+8= 11 so x = 11
then -4+5= 1 so y = 1
So you get (11,1)
heres another one of those impossible looking problems for another chance for a brainly no links please
Answer:
B. X=6 onlyStep-by-step explanation:
Isolate the term of x from one side of the equation.
[tex]\sf{\sqrt{2x-3}=x-3}[/tex]
2x-3=x²-6x+9
Solve.
[tex]\sf{2x-3=x^2-6x+9=\boxed{\sf{x=6}}[/tex]
Therefore, the solution is x=6, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Which of the following is NOT a unit fraction? 7/11 1/16 1/50 1/2
Answer:
7/11
Step-by-step explanation:
This is the only fraction without a 1 in its numerator.
Answer:7/11
Step-by-step explanation: unit fractions have 1 unit like 1/2 1/3 1/100 but 7/11 is not have 1 numerator