A circle is graphed on this coordinate plane. What is the radius in units of the circle and what is the equation of the circle?
Answers
Answer:
The radius is 4 units, and the equation of the circle is:
(x - 3)^2 + (y + 5)^2 = 16
Step-by-step explanation:
A circle centered at the point (a, b) and with a radius R, is written as:
(x - a)^2 + (y - b)^2 = R^2
In the image, we can see that a segment that cuts the circle in two halves is the segment between the points:
(-1, -5) and (7, - 5)
The distance between these points is the diameter of the circle.
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:
D = √( (x₂ - x₁)^2 + (y₂ - y₁)^2)
Then in this case, the distance between the known points is:
D = √( (7 - (-1))^2 + (-5 - (-5))^2)
D = √( 8^2) = 8
The diameter of the circle is 8
Then the radius is:
R = 8/2 = 4
the radius is 4.
Now, to find the center of the circle we just need to go to any of the two extremes of the interval and count 4 units towards the center of the circle, this is:
(-1 + 4, -5) = (3, -5)
or
(7 - 4, -5) = (3, -5)
Then the center of the circle is the point (3, -5) and the radius is R = 4
The equation of the circle is:
(x - 3)^2 + (y - (-5))^2 = 4^2
(x - 3)^2 + (y + 5)^2 = 16
Related Questions
If each unit on the graph measures 1 inch, how far is the
inchworm from the ladybug? (Hint: The Pythagorean
theorem can be used because the x-axis, y-axis, and z-
axis each intersect at a right angle.)
O 5 in.
O 7 in.
0 12 in.
25 in.
Answers
Answer:
A. 5
Step-by-step explanation:
just did the quiz on .
How do I solve the indicated value?
Answers
Answer:
-43
Step-by-step explanation:
a12 = a1 + (12-1)×-5 =12-55 =-43
Pls help fast will give brainliest
Answers
Answer:
y= -2x+ 5
Step-by-step explanation:
parallel with y= -2x+ 1 means the lines have the same slope m= -2
from point (-1, 7) we go with a slope of -2 until we find the y-intercept (0, 5)
y= mx+b is the general formula
y= -2x+ 5
Which could be the first step in solving this system of equations by substitution?
y = 7x
y - x = 15
Answers
Answer:
The first step is to replace the y in y-x=15 with 7x (we can do this because the first equation tells us that they're equal)
solve and get
(2.5,17.5)
or x= 2.5 y=17.5
Step-by-step explanation:
The first step is to recognize that y=7x which means that we can just replace the y in the second equation with 7x
7x-x=15
6x=15
x=2.5
Then we can solve for y
y=7(2.5)
y=17.5
Write a sentence in which the relative frequency of the letter E (or e) is exactly 10%.
Answers
Answer:
I'd try to do that, but it cannot be done.
Step-by-step explanation:
The above sentence contains 30 letters, including 3 "e"s, so the frequency of e is 3/30 = 0.1 = 10%
Find the missing lengths of the leg AND the hypotenuse in simpilest radical form.
Answers
Answer:
Above picture is the solution for your question
Step-by-step explanation:
Use relation of trignometric ratios
simplify 2x²/x²-7x+12 - x²+9/x²-7x+12
Answers
Answer:
(x+3)/(x-4)
Step-by-step explanation:
[2x²/(x-4)(x-3)] - [x²+9/(x-4)(x-3)] =
(x²-9)/(x-4)(x-3) =
(x+3)(x-3)/(x-4)(x-3) =
x+3/x-4
Answer:
2x²/x² - 7x + 12 - x² + 9/x² - 7x + 12
2x²/x² simplifies to just 2 (the x²s cancel out)
2 - 7x + 12 - x² + 9/x² - 7x + 12
add like terms: (2 + 12 + 12) + (-7x - 7x) - x² + 9/x²
= - x² - 14x + 9/x² + 26
HELP ME I will give brainliest to whoever is RIGhT
Answers
Answer:
B)
Step-by-step explanation:
Carol measured her windows for new curtains. She measured the width to be 34 in when it was actually 36 inches. Which was carols approximate percent error in her window measurement .
A. 2.0%
B. 2.8%
C. 5.6%
D. 5.9%
Answers
Answer:5.9
Step-by-step explanation: Clarification from teacher
A rectangular flower bed has a width of (2x+5) and a length of (x+10). Find the area of the flower bed when the length is 25 ft
Answers
Answer:
875 ft
Step-by-step explanation:
Length is 25 feet so we can solve x with the equation x+10=25 so x=15
We can plug in 15 to find out the width. 2(15)+5=w, so w(width) is 35.
Area is length x width, length=25 and width=35 so 35 x 25= 875
875 ft
:)
PLEASE ANSWER PLZ PLZ
Answers
A.) -2/5
Because x increases by positive two and y decrease by negative five
Answer:
Your answer is -5/2.
Step-by-step explanation:
Use the slope equation. (Refresh if you cant see below.)
[tex]\frac{y_2-y_1}{x_2-x_1}\\\text{Substitute two points into the equation. We can use the first two, (3, 5), and (5, 0).}\\\frac{0-5}{5-3}\\\text{Subtract.}\\-\frac{5}{2}[/tex]
Nico practiced drums 1.5 fewer hours than he practiced piano. If Nico practiced the piano for 4 hours, how many hours did Nico practice the drums
Answers
Answer:
2.5 hours
Step-by-step explanation:
4 - 1.5 = 2.5
You must subtract 1.5 from the amount of hours he plays piano, which is 4. This is because he spends 1.5 hours less playing drums than he does playing piano.
Sonia has a hat collection. The ratio of white hats to
blue hats in her hat collection is 10:9. Which ratio is
equivalent to 10:9?
Answers
Answer:
20:18 30:27 40:36 etc..
Step-by-step explanation:
To find equivalent ratios you multiply both 10 and 9 by the same number to find equivalent ratios.
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? (enter your answer as a fraction or mixed number)
Write a number sentence that represents the problem.
Answers
Answer:
0.3
Step-by-step explanation:
yushhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
0.3
Step-by-step explanation:
djdjwinqwp9dejnedm
2. What is a line of symmetry?
(1 Point)
Answers
Answer:
Step-by-step explanation:
I believe you're refering to an "axis of symmetry." This is most often seen in quadratic equations. If the parabolic graph opens up or down, the axis of symmetry is the vertical line passing through the vertex, and the graph is symmetrical about this axis. The same applies to a parabolic graph that opens left or right.
If y = ax^2 + bx + c, the equation of the axis of symmetry is x = -b / (2a).
HELP MEEEEEEEEEEEEEEE!
Answers
Answer: go
Step-by-step explanation:
Question b quick 10 points
Answers
The following tables show the values of linear , quadratic, and exponential functions for various values of . Indicate which function type corresponds to each table. Justify your choice. с у Y X у 6 1 1 71 56 6 1 14 9 2 9 2 28 N N 28 12 3 3 14 14 3 15 4 4 4 7 56 21 D B
Answers
Answer:
Step-by-step explanation:
Consecutive differences in Table A are constant (9−6=12−9=15−12=3), indicating a linear function. Consecutive quotients in Table B are constant (147=2814=5628=2) indicating an exponential function. Similarly the constant quotient for Table D is 1/2. Neither consecutive differences nor quotients are constant in Table C, and its ordered pairs are related by the equation y=x2+5. So, Table A should be labeled "linear", Table B and D, "exponential", and Table C, "quadratic".
Find the surface area of the rectangular prism.
Answers
9. The quotient of n and -4 is 5. What is the
value of n?
Answers
Answer:
n=-20
Step-by-step explanation:
Answer:
n = -20
Step-by-step explanation:
n/-4 = 5
n/-4 (-4) = 5(-4)
n = -20
-20/-4 = 5
X-3<9
What’s the answer to this everbody should know
Answers
Answer:
x<12
Step-by-step explanation:
Let's solve your inequality step-by-step.
x−3<9
Step 1: Add 3 to both sides.
x−3+3<9+3
x<12
Answer:
x<12
Which of the following is the result of the equation below after completing the square and factoring?
x2+3x+8=6
Will mark brainliest
Answers
Answer:
D)
Step-by-step explanation:
x² + 3x + (3/2)² = 6 - 8 + (3/2)²
(x + 3/2)² = -2 + 9/4
(x + 3/2)² = -8/4 + 9/4
(x + 3/2)² = 1/4
Answer:
D is the answer
Step-by-step explanation:
x² + 3x + (3/2)² = 6 - 8 + (3/2)²
(x + 3/2)² = -2 + 9/4
(x + 3/2)² = -8/4 + 9/4
(x + 3/2)² = 1/4
Hope this helps you ;)
Have a great day
Mark brainliest
What does 25 1/2 mean
Answers
Answer:
it means twenty-five and a half
Step-by-step explanation:
Answer:
25 is the whole number, and 1/2 is half. It can also be 25.5
Step-by-step explanation:
The options are 45, 55, 40, 50 and 35.
Answers
Answer:
The answer for this question is 40
Answer:
The answer is 40 !!!!!!!What is the equation of a circle with a radius of 6 and a center at ( -2 , 3 )?
Answers
(x-p)^2+(y-q)^2=r^2
The radius is given (r=6), as well as the centre of the circle (-2;3).
"p" and "q" represent the coordinates of the centre of the circle.
So it would look like this -
(x-p)^2+(y-q)^2=r^2
p=x-coordinate (-2)
q=y-coordinate (3)
r=6
(x-(-2))^2+(y-(3))^2 =6^2
(x+2)^2 + (y-3)^2 = 36
***"^" means "to the power of"
Hope this helped~
Answer:
Solution given:
centre(h,k)=(-2,3)
radius(r)=6 units
we have
equation of a circle is:
(x-h)²+(y-k)²=r²
(x+2)²+(y-3)²=6²
(x+2)²+(y-3)²=36 is required equation of a circle.
The length of segment PK is 4 units and the length of segment PQ is 2 units. What is the approximate
perimeter of shaded triangle PQL
A 10.0 units
B 9.5 units
C 9.0 units
D 8.5 units
Answers
Answer:
9.5
Step-by-step explanation:
one side of a triangle is 50 and the other side is 120 what is the length of the third side?
this is exterior angle theorem.
Answers
I think it 10
Hope that helps
Which value(s) is a solution for the inequality
f < 4?
Answers
Answer:
665
Step-by-step explanation:
kmnbvcxsdrftyuiol,m nbvcxsdftgyhuio
Answer:
s = s
f < 4 = s
Step-by-step explanation:
I need help with this problem this is so hard for me please
Answers
Answer:
angle 2=81 degree
angle 1 =126 degree
Step-by-step explanation:
Anna is solving this equation:
7 - 3(2x - 5) = -(3x + 7)
Anna uses the distributive property for her first step.
Which equation shows the correct result of Anna using the distributive property?
O A. 7-6x - 5 = -3x + 7
B. 7 - 6x + 5 = -3x - 7
C. 7 - 6x - 15 = -3x + 7
D. 7 - 6x + 15 = -3x - 7
Answers
Answer:
7-6x+15=-3x-7
29=3x
x=29/3
the asnwer is D