URGENT 50 PTS AND BRAINLIEST FOR A CORRECT ANSWER THAT EXPLAINS WELL
A
Find an equation of the circle and sketch it if it has: Tangent to x-axis, r=4, contains (–5,8)
B
Find an equation of the circle and sketch it if it has:
Diameter endpoints (2, 5) and (0, 3)
C
Find an equation of the circle and sketch it if it has:
Center on x=3, tangent y-axis at (0, 5)
Answers
Answer:
A. [tex](x+5)^2+(y-4)^2=16[/tex]
B. [tex](x-1)^2+(y-4)^2=2\\[/tex]
C. [tex]$\left(x-3\right)^2+\left(y-5\right)^2=9$[/tex]
Step-by-Step Explanation:
A. Tangent to x-axis, r=4, contains (-5,8)
The equation of a circle is this: [tex](x-h)^2+(y-k)^2=r^2\\[/tex]
Therefore, we know that our equation will be: [tex](x-h)^2+(y-k)^2=4^2=16[/tex]
Because the circle is tangent to the x-axis, the point (-5,8) will be the top of the circle.
Therefore, the center is (-5,4), where -5=h and 4=k.
The answer is [tex](x+5)^2+(y-4)^2=16[/tex]
B. Diameter endpoints (2,5) and (0,3)
To solve for the diameter, we can use this equation: [tex]d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2 }[/tex]
[tex]d=\sqrt{(2-0)^2+(5-3)^2 }\\\\d=\sqrt{2^2+2^2}=\sqrt{4+4} =\sqrt{8}= 2\sqrt{2}[/tex]
Because the radius is half of the diameter, [tex]r=\sqrt{2}[/tex]
Therefore, we know that our equation will be: [tex](x-h)^2+(y-k)^2=(\sqrt{2}) ^2=2[/tex]
Then, we can decipher that h=1, as the midpoint of 0 and 2 is 1, and k=4, as the midpoint of 3 and 5 is 4.
The answer is [tex](x-1)^2+(y-4)^2=2[/tex]
C. Center on x=3, tangent to y-axis at (0,5)
We can see that the center is (3,5). Therefore, the equation is [tex](x-3)^2+(y-5)^2=r^2\\[/tex]
To solve for r, we can substitute the point (0,5) into the equation.
[tex](0-3)^2+(5-5)^2=r^2\\(-3)^2+(0)^2=r^2\\r^2=9[/tex]
The answer is [tex](x-3)^2+(y-5)^2=9[/tex]
Hope this helped!
Related Questions
help meeeeee please
Answers
Which sequence of transformations creates a similar but not congruent triangle? (5 points)
A
Rotation and reflection
B
Reflection and translation
C
Translation and rotation
D
Dilation and reflection
Answers
Answer:
D. Dilation and reflection
Step-by-step explanation:
There are 4 main types of transformations, rotation, reflection, translation, and dilation. 3 of these transformations are defined as rigid, rigid means that the transformation preserves angles and distance between points. If these aspects are preserved than the image is congruent. The only non-rigid transformation listed is dilation, therefore D must be correct.
Answer:
d
Step-by-step explanation:
- 2(3x + 4) - 2x - 5
Answers
the sum of the measures of the angles of the interior angles of a triangle is 180. Write and solve an equation to find the value of the variable
Answers
Answer:
look on khan academy
Step-by-step explanation:
if one pack of blueberries cost 4$, how many packages of blueberries can be bought for 12$
Answers
Answer:
3
Step-by-step explanation:
12 ÷ 4 = 3
If one packet cost 4$ you would be able to buy 3 packets for 12$ as 4x3=12.
Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?
Answers
Answer:
the answer is #3
Step-by-step explanation:
the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given this, Maria took a taxicab from her home to the theater downtown. The taxicab company charges a flat fee of $5.00 plus $0.25 per mile.
Since, C represents the total cost of her ride, in terms of m, the length of the trip in miles.
So,
Total cost = fixed cost + variable cost
In our case
Fixed cost = 5
and the variable cost = 0.25 per mile
For m miles variable cost = 0.25*m
Thus,
Total cost = 5 + 0.25*m
C = 5 + 0.25m
therefore, the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
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The ratio of boys to girls in a group is 5:1 if there are 60 more boys than girls work out how many people there are in total
Answers
Answer:
90.
Step-by-step explanation:
If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.
As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.
So x = 1/6(2x + 60)
x = 1/3x + 10
2/3 x = 10
x = 10*3/2 = 15.
So the total number of people = 2(15) + 60 = 90.
what are the y values of the equation y = 3x + 4 at x values -1, 0, 1, 2
Answers
Answer:
-2; 1; 4; 7
Step-by-step explanation:
To solve for y, plug the x value in to the expression
y = 3(-1) + 1
y = -3 + 1
y = -2
When x = -1, y = -2
y = 3(0) + 1
y = 0 + 1
y = 1
When x = 0, y = 1
y = 3(1) + 1
y = 3 + 1
y = 4
When x = 1, y = 4
y = 3(2) + 1
y = 6 + 1
y = 7
When x = 2, y = 7
A senior class at a high school has 424 students. 3/4 of those students choose to go to college out of state. How many students are not going to college out of state?
Answers
Answer:
318
Step-by-step explanation:
math wiz
d) Jerry, Barry, and Harry went fishing and they each caught a giant fish! Jerry's fish is 62 inches long. Barry's fish is 7 feet long. Harry's fish is 2 yards long. Who caught the longest fish?
Answers
Find the value of MN if AB = 9 cm, BC = 7.2 cm, and LM = 12 cm.
ABCD - LMNO
Answers
Answer:
9.6 cm
Step-by-step explanation:
Since the shapes are similar, we can write a proportion. Let x be the length of MN.
9/12 = 7.2/x Write a proportion.
9x = 12(7.2) Use cross products.
9x = 86.4 Multiply.
x = 9.6 Divide both sides by 9.
Side MN is 9.6 cm.
What is 1 2/3 - 2 1/3?
Answers
Answer:
-1/3
Step-by-step explanation:
Find the remainder when you divide 28282828282838·28282828282839 by 28.
Answers
Answer:
1.010101e+12
Step-by-step explanation:
28282828282838.28282828282839 / 28
Answer:
The answer to the question is 26.
Hey 675 m bike trails pass-through far is Meadow Aracely exhale the trail that cuts through Meadows flags meadow a measures 24 3/4m three legs measure 52.25 m on one leg measures 32 m the rest of the trail pass through forces how many meters of the trail pass through the forest
Answers
Answer:
436.75
Step-by-step explanation:
Answer:
436.75
Step-by-step explanation:
Given: PS=RT, PQ=ST
Prove: QS=RS
Answers
Answer:
I) Eq(1) reason: sum of segments of a straight line
II) Eq(2) reason: Given PQ = ST & PS = RT
III) Eq(3) reason: sum of segments of a straight line
IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides
V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.
Step-by-step explanation:
We are given that;
PS = RT and that PQ = ST
Now, we want to prove that QS = RS.
From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;
PQ + QS = PS - - - - (eq 1)
Now, from earlier we saw that PQ = ST & PS = RT
Thus putting ST for PQ & PS for RT in eq 1,we have;
ST + QS = RT - - - - (eq 2)
Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;
RS + ST = RT - - - - -(eq 3)
From eq(2) & eq(3) we can see that both left hand sides is equal to RT.
Thus, we can equate both left hand sides with each other to give;
ST + QS = RS + ST - - - (eq 4)
Subtracting ST from both sides gives;
ST - ST + QS = RS + ST - ST
This gives;
QS = RS - - - - (eq 5)
Thus;
QS = RS
Proved
Ill MARK BRAINLIST PLS HELP !!!
Answers
Answer:
28
Step-by-step explanation:
you find the length of the side of one cube by using the equation they gave you, so 343^(1/3) would be 7. they're are 4 cubes lined up, so you multiply 7 by 4 to get 28.
What is a good topic to research for linear regression?
Answers
Answer:
Growth rate of plants compared to average daily temperature.
Step-by-step explanation:
Solve the following system of equations using the elimination method. x – y = 11 2x + y = 19 Question 5 options: A) (–3,9) B) (10,–1) C) (–9,6) D) (–10,2)
Answers
Answer:
B.(10,-1)
Step-by-step explanation:
10-(-1)=11
2(10)+(-1)=19
20+(-1)=19
25 POINTS!!!!!!!
Which show is better Johnny Test or Chowder?
Answers
Answer:
Johnny Test
Step-by-step explanation:
find the total monthly payment for a $160000 mortgage loan at 6.25% for 30 years. The assessed value of the home is $190000 and the annual taxes are 1.4% of the assessed value. insurance cost 660 per year
Answers
Answer:
23
Step-by-step explanation:
An airplane covers 94 miles in 1/6 of an hour
The airplane can cover blank miles in 6 hours
What is the answer
Answers
Answer:
3384 Miles in 6 hours
Step-by-step explanation:
94 x 6 would equal how many miles the airplane covers in 1 hour.
1 hour equals 564 miles.
564 x 6 equals 3384 miles in 6 hours
A clothing store reduce the price of a shirt by 25% to 27%. What is the original price of the Shirt
Answers
Geometry question. Please help!!!
Answers
Answer:
C
Step-by-step explanation:
A nursery owner buys 7 panes of glass to fix some damage to his greenhouse. The 7 panes cost $17.15. Unfortunately,he breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answers
Answer:
$4.90
Step-by-step explanation:
17.15 / 7= 2.45
2.45*2=4.9
the cost of another two pains of glass is $4.90
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answers
Answer:
Grain of sand estimate= 4.6 × 10-3
Dust particle estimate: 5 × 10-5
92 times greater
Step-by-step explanation:
Answer:
diameter of grain is 92 times greater than the diameter of dust particle
Find the first four terms of the sequence given by the following.
Gr
an = 43-6(n-1), n=1, 2, 3...
Answers
Answer:
43-6, (n-1), n=1, (2,3)
Step-by-step explanation:
6 less than the cube of a number.
Answers
Answer:
x^3-6
Step-by-step explanation:
cube the variable and subtract 6
Find the slope of the line containing the points (3,-2) and (-1, 6).
Answers
Answer:
-2
I hope this helps!
Add using the number line. −11+5 Drag and drop the word SUM to the correct value on the number line.
Answers
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
did the test
it took Jose two-third of an hour to complete his math homework on monday three fourths of an hour on tuesday and two-fifths of an hour on wednessday. how many hours did it take Jose to complete his homework altogether?
Answers
He spent 1 49/60 total hours on his homework altogether
