Answer:
C
Step-by-step explanation:
WILL GIVE BRAINLIEST! Find an equation of the circle and sketch it if it has: Tangent to y-axis, r=5, contains (10, 7)
Center = (5,7)
Radius = 5
======================================================
Explanation:
The circle must be tangent to the y axis, and it has a radius of 5, so that means the center (h,k) must either be on the line x = 5 or x = -5, since those vertical lines are exactly five units away from the y axis.
But we're also told that (10,7) must be on the circle. That rules out x = -5 because the distance from (10,7) to (-5,k) is going to be larger than 5. I recommend drawing out a right triangle to see why this is the case.
So the center (h,k) must be on the line x = 5.
The center is the point (h,k) = (5,k)
Plug that h value along with (x,y) = (10,7) and r = 5 into the equation below
Solve for k.
(x-h)^2 + (y-k)^2 = r^2
(x-5)^2 + (y-k)^2 = 5^2 .... plug in h = 5 and r = 5
(10-5)^2 + (7-k)^2 = 25 ... plug in x = 10 and y = 7
25 + (7-k)^2 = 25
(7-k)^2 = 25-25
(7-k)^2 = 0
7-k = sqrt(0)
7-k = 0
-k = 0-7
-k = -7
k = 7
The center is (h,k) = (5,7)
We have (x-h)^2 + (y-k)^2 = r^2 updating to (x-5)^2 + (y-7)^2 = 25
The equation of the circle is (x-5)^2 + (y-7)^2 is25 . The center of the circle is Center is (5,7) .Radius of the circle is 5
What is equation of the circle?Circle's basic equation is represented by:
(x-h)2 + (y-k)2 = r2
where the radius is r and the circle's center's coordinates are (h,k).
Let's first consider what a circle is before determining its equation. A circle is a collection of all points in a plane that are uniformly distanced from a fixed point. The fixed point is referred to as the circle's center. The radius of a circle is the separation between the center and any point along its circumference. In this article, we'll explain what a circle's equation looks like in standard form and show you how to calculate a circle's equation when its center is both the origin and another point.
The center (h,k) of the circle, which must be tangent to the y axis and have a radius of 5, must either be on the line x = 5 or x = -5 since both vertical lines are both located exactly five units from the y axis.
The need that (10,7) be on the circle is also stated, though. That eliminates the possibility of x = -5 because the distance from (10,7) to (-5,k) will be more than 5. To understand why this is the case, I advise you to sketch a right triangle.
Therefore, the line x = 5 must contain the center (h,k).
The point (h,k) = is the center (5,k)
Given ,
In the equation below, enter that h value along with (x,y) = (10,7) and r = 5.
Calculate k using the formula.
(x-h)^2 + (y-k)^2 = r^2
(x-5)^2 + (y-k)^2 = 5^2 add a h = 5 and r = 5 plug.
(10-5)^2 + (7-k)^2 = 25 Input x = 10 and y = 7
25 + (7-k)^2 = 25
(7-k)^2 = 25-25
(7-k)^2 = 0
7-k = sqrt (0)
7-k = 0
-k = 0-7
-k = -7
k = 7
(h,k) = is the center (5,7)
Updated to (x-5) + (y-7) = 25, we have (x-h) + (y-k) = r2.
Therefore The equation of the circle is (x-5)^2 + (y-7)^2 is25
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What is the value of x in the equation shown?
5x - 3(x + 9) + 10 = 4
5x - 3(x + 9) + 10 = 4
[tex]\huge {\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}[/tex][tex] \implies [/tex][tex]5x - 3x - 27 + 10 = 4[/tex]
[tex] \implies [/tex][tex]2x - 17 = 4[/tex]
[tex] \implies [/tex][tex]2x = 4 + 17[/tex]
[tex] \implies [/tex][tex]2x = 21[/tex]
[tex] \implies [/tex][tex]x = \frac{21}{2} [/tex]
[tex] \huge \tt \underline \orange {X\:=\:10.5}[/tex]I really need help rn I got 5 mins left
Algebra, help please ASAP
Answer:
a
Step-by-step explanation:
m*m= m^2
-15*2=-30
-15m+2=-13m
Answer:
a
Step-by-step explanation:
(m-15)(m+2)
identify the zeros of f(x) = (x + 9)(x − 4)(6x + 1).
Answer:
x = - 9, x = - [tex]\frac{1}{6}[/tex], x = 4
Step-by-step explanation:
To obtain the zeros, equate f(x) to zero, that is
(x + 9)(x - 4)(6x + 1) = 0
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
6x + 1 = 0 ⇒ 6x = - 1 ⇒ x = - [tex]\frac{1}{6}[/tex]
Question 6 of 10
Which statement describes a liquid that has high surface tension?
A. Molecules at the surface are moderately attracted to the
molecules below.
B. Molecules at the surface are strongly attracted to the molecules
below.
C. Molecules at the surface are weakly attracted to the molecules
below.
D. Molecules at the surface have no attraction to the folecules
below.
Folecules
SUBMIT
science
Answer:
It is B!!!
Step-by-step explanation:
Molecules at the surface are strongly attracted to the molecules below. Then the correct option is B.
What is surface tension?The tendency to reduce space produced by the tension of a convective surface film as a result of the topmost layer's particulate being drawn to the liquid's mass.
The molecules underneath are strongly drawn to the species on the surface.
Then the correct option is B.
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HELPPPP NOW I WILL GIVE U THE BRAINLIEST
The shop has 1,080 ounces of cranberry juice and 670 ounces of passion fruit juice.
If the juices are used to make Crazy Cranberry smoothies, which juice will run out first?
The ___ juice would run out first.
How much of the other juice will be left over?
There will be ____ounces of passion fruit juice left over.
Answer: i need to know how many ounces of each juice are needed per smoothie
Step-by-step explanation:
Lauren needs 3.6 meters of ribbon to make a bow. She
cuts the ribbon off a roll that has 26.45 meters of ribbon.
How many meters of ribbon are left on the roll?
please helppp :(
Enter the number that belongs in
the green box.
Answer:
55?????
Step-by-step explanation:
A certain plant grows 1 3/4 inches every week how long will it take the plant to grow 9 1/4 inches. HELPPP I’m dumb
malinda must take30 cubic centimeters of her medicine every 6 hours.how many milliliters are equivalent to 30 cubic centimeters
Answer:
30 milliliters
Step-by-step explanation:
multiply the volume value by 1
What is the nature of the roots for y=2x2-5?
Answer:
x=[tex]\sqrt5/2[/tex] , x = -[tex]\sqrt5/2\\[/tex]
Step-by-step explanation:
2x^2-5=0
add 5 to both sides
2x^2-5+5=0+5
2x^2=5
(2x^2/2) = 5/2
x^2=5/2
x=[tex]\sqrt5/2\\[/tex] , x = -[tex]\sqrt5/2[/tex]
To determine the nature of the roots of the quadratic equation y [tex]= 2x^2 - 5[/tex], we can analyze its discriminant (denoted by Δ).
The discriminant is calculated using the formula Δ [tex]= b^2 - 4ac,[/tex] where a, b, and c represent the coefficients of the quadratic equation in the standard form [tex]ax^2 + bx + c = 0.[/tex] For the given equation, a [tex]= 2,[/tex] b [tex]= 0,[/tex]and c [tex]= -5.[/tex]Plugging these values into the discriminant formula, we have: Δ [tex]= 0^2 - 4(2)(-5) Δ = 0 + 40 Δ = 40[/tex]The discriminant is positive, indicating two distinct real roots.
Since the discriminant is greater than zero, we can conclude that the roots of the equation are real and different. Therefore, the nature of the roots for y[tex]= 2x^2 - 5 i[/tex]s that it has two distinct real roots.
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Find the distance between c(-6,5)and D(-3,1)
Answer:
7
Step-by-step explanation:
Is this figure a triangle?
Side A:3 cm
Side B: 4 cm
Side C: 5 cm
explain the terms of length on the side
Step-by-step explanation:
Not because that not same number
At a local department store, cardigans are typically priced at $15. Due to a special,
the cardigans are reduced to 80% of their original price.
How much are cardigans now?
Answer:
$3
Step-by-step explanation:
80% of 15 is 12
15-12=3
Factorise : (5a-3b)2-1662
pls give step by step
Answer:
6165421
Step-by-step explanation:
whatever you do to 1 side you have to do to the other. add 1662 as the calculation is a minus.
The average depth of Lake Michigan is 85 meters below the surface. The deepest point in Lake Michigan is 196 meters lower than this. What is the lowest point in Lake Michigan relative to the surface?
Answer:
196 meters
Step-by-step explanation:
It would be 196 meters below or the lowest point would be the bottom. If it asks for feet do the conversion rate.
Answer:
-281
Step-by-step explanation:
–85–196 = – 85+(– 196) = –281
At the assembly line, Joe is able to pack 150 boxes of books in one hour. At this rate, how many complete boxes can Joe pack per minute?
joe be going sicko mode, he finna pack 5/2
they want complete so I'd go with 2 boxes
Answer:
2
Step-by-step explanation:
If he can pack 150 per hour and there are 60 minutes in an hour, then to find the boxes per minute, you must divide 150 by 60. That gets 2.5, and the question said complete boxes so 2.
If neither a nor bare equal to zero, which answer most accurately describes the product of (a + b)(a - b)?
Answer:
The imaginary part is zero.
Step-by-step explanation:
if i get this wrong im gonna fail plsfkdsjsdkl
Answer:
An apple, potato, and onion all taste the same if you eat them with your nose plugged
Step-by-step explanation:
A submarine begins at -212 feet below sea level. If
the submarine plans to descend at 15 feet per minutes,
how long will it take the submarine to reach a depth of
-287 feet?
A. 75 minutes C. 7 minutes
B. 8 minutes D. 5 minutes
Answer:
Step-by-step explanation:
Ending depth = -287
Starting depth= -212
Difference = -75 feet
The submarine plans on dropping 15 feet a minute.
Time = displacement / time = -75/-15 = 5 minutes.
Answer: D
Write the ratio 4 to 9 in two different ways
Answer:
4;9
4 to 9
4/9
or 4 blocks and 9 circles
Step-by-step explanation:
which rational number could comes next
Answer:
d
Step-by-step explanation:
there are 22 fourth grade students and 26 fifth grade students each cheerleading group will have 8 members what equation can be used to find out how many groups can be made
Answer:
(22 + 26) ÷ 8 = g (or groups)
Step-by-step explanation:
Answer:(26 + 22)/8 = z
Step-by-step explanation:
Cual es la diferéncienla de resolver un sostiene de 2 y nos de 3
Answer:
yes
Step-by-step explanation:
i want to get at least a 90 on my next math test
Answer:
then study well
Step-by-step explanation:
that might help, but I could help with any study questions, but I cant do test questions from the test
i need help plz
Question: p=2w+2l for l
A- l=p-w
B- l=w-p
C- l=2w-p/2
D- l=p-2w/2
Answer: Choice D
Step-by-step explanation:
p=2w+2l Subtract 2w from both sides
p - 2w = 2w - 2w +2l 2w-2w = 0 cancels
p- 2w = 2l . Divide both sides by 2 2/2 =1 cancels leaving l isolated
p - 2w/2 = l
Reverse
l = p-2w/2
the cylindrical bucket contains 314 cubic inches of water. the height of the water is 4 inches. what is the radius of the bucket, to the nearest whole number? use 3.14 for pi
Answer: 5 (apex) , ur welcome .
Step-by-step explanation:
A movie theater charges $6 admission and $2 per box of popcom. Write a variable
expression for the cost of you watching a movie and eating b boxes of popcorn
Answer:
Step-by-step explanation:
C = 2b + 6
MATTRICES PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!
Answer:
I think the best answer for me would be c if thats wrong sry
I hope this helps :)