The equation of the circle that passes through the point (-6 , -4) and has a center located at the origin is x^2 + y^2 = 52.
Using the distance formula, get the radius of the circle by solving for the distance between the center and the point (-6 , -4).
radius = distance = √(x2 - x1)^2 + (y2 - y1)^2
radius = √(-6 - 0)^2 + (-4 - 0)^2
radius= √36 + 16
radius = √52
The standard form of the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (0 , 0)
r = √52
(x - 0)^2 + (y - 0)^2 = (√52)^2
x^2 + y^2 = 52
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Can someone just help? no one seems to be getting my question for some reason, and i sent like 7 of the same question.
The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.
What is the triangle?A triangular is a geometry with 3 sides and three angles. The triangle has angles that sum up to 180 °.
In a triangle, the opposing side will be short if the angle is small, while the other side will be longer if the angle is larger.
The sides of the triangle are in ascending order, then we have
WY < YZ < WX < XY < XZ
Then the sequence of the angles is given as,
∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ
The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.
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Under then angle addition prostulate which equation would be valid?
Answer:
M<DEG + m<GEF = m<DEF
Step-by-step explanation:
Given: Figure
To find: Choose correct option
Solution: In the figure, using angle addition postulate, M<DEG + m<GEF = 180 (sum of < on straight line)
M<DEG + m<GEF = m<DEF
Suppose you pull a card from a standard 52-card deck. Find the probability of following event. The card is not a face card.
39/52 X 13/51 X 38/50 is the probability of following event.
What in mathematics is a probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.P(nH) and then P(H) and then P(nH)
“and then” means you Multiply probabilities.
= 39/52 X 13/51 X 38/50
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On his math test, Louis was asked to multiply 6.19 7.3. His answer of 451.87 was marked incorrect. What mistake did Louis make?
His answer was incorrect because he placed the decimal in the wrong location.
How to multiply numbers?He multiplied 6.19 by 7.3 and he got 451.87.
To multiply, simply means to find the products.
Therefore, let's find the product of 6.19 and 7.3 as follows:
6.19 × 7.3 = 45.187
Therefore, the product of 6.19 and 7.3 is 45.187.
He got 451.87 which made his answer incorrect.
His answer was incorrect because he placed the decimal in the wrong location(after 1 instead of before 1)
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. Find the area of each trapezoid.
5 cm
4 cm
10 cm
The trapezoid's area is 45cm ².
What is area?The measurement that expresses the size of a region on a plane or curved surface is called area.
How can we determine a trapezoid's area?1. Determine each base's length ( a and b ).
2. Find the height of the trapezoid ( h ).
In the formula for the trapezoid area, substitute these values:
A = [tex]\frac{a+b}{2}[/tex] × h
Given data
Length
a- 5cm
b- 4cm
Height: 10 cm
A = [tex]\frac{a+b}{2}[/tex] × h
A = [tex]\frac{5+4}{2}[/tex](10)
A =[tex]\frac{9}{2}[/tex](10)
A = 4.5(10)
A = 45cm²
The trapezoid's area is 45cm².
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A father is twice as old as his son. Ten yrs ago the ratio of their age was 5:2 find their present ages
Answer: 70:12?
Step-by-step explanation:
Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5?
The difference is a binomial with a degree of 5.
The difference is a binomial with a degree of 6.
The difference is a trinomial with a degree of 5.
The difference is a trinomial with a degree of 6.
The difference is a binomial with a degree of 6.
What is Degree of polynomial?
The highest power of the variable in a polynomial is called the degree of the polynomial.
The polynomials are given as;
(a³b + 9a²b² - 4ab⁵) and (a³b - 3a²b² + ab⁵)
Now, The difference of the polynomial calculated as;
(a³b + 9a²b² - 4ab⁵) - (a³b - 3a²b² + ab⁵)
a³b + 9a²b² - 4ab⁵ - a³b + 3a²b² - ab⁵
12a²b² - 5ab⁵
Hence, Degree of polynomial = 1 + 5 = 6
So, The difference is a binomial with a degree of 6.
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Find the coordinates of T(4,-5) after a translation by the rule (x,y) → (x-8, y + 5).
Answer: T(-4, 0)
Step-by-step explanation:
(x,y) → (x-8, y + 5)
T(4,-5) ==> T(4-8,-5+5) ==> T(-4, 0)
What is the degree of the polynomial 7x^3+2x^2y^4z
The polynomial 7x3+2x2y4z has a degree of 7.
Degree polynomial: What is it?The highest exponential power in a polynomial equation is called the polynomial's degree. Any polynomial's degree is determined solely by its variables; coefficients are to be disregarded. The degree of a polynomial is p for an nth degree polynomial function with real coefficients and x as the variable with the highest power n, where n accepts whole integer values (x).
based on the provided statement
Let's add exponents to determine each term's degree.
Degree of 7x³ (= x³) is =3
Degree of 2x²y⁴z (= 2+4+1) is = 7
Among all these degrees, 7 is the highest number and hence the degree of the given polynomial is 7.
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PLEASE HELP ASAP. dbdxb
Step-by-step explanation:
that is just to be read from the chart.
a)
we see Kiev has 1° C.
Oslo has 2° C.
what is the difference ? 2 - 1 = 1°
b)
don't get confused.
the chart says temperatures at midday.
6 hours later IS 6pm.
the temperature in Kiev raises during that time from 1° up by 6°.
that means the temperature there is then 1 + 6 = 7° C at 6 pm.
Answer:
a. 9 °C
b. 7°C
Step-by-step explanation:
a. Difference, Rome and Oslo
→Rome: 11°C
→Oslo: 2°C
11°C- 2°C = 9°C
b. Kiev
The chart shows temperatures at midday (12pm). After 6 hours it's 6 pm.
→Kiev 1°C
→Temperature will rise 6°C
1°C + 6 °C = 7°C
At 6pm, the temperature in Kiev will be 7°C.
Find the center and the radius of each circle. x²+(y+1)²=5
The equation of the circle x^2 + (y + 1)^2 = 5 has a radius of √5 and a center located at (0 , -1).
The standard form of the equation of circle is given by
(x - h)^2 + (y - k)^2 = r^2
where (h , k) is the location of the center and r is the radius of the circle.
On the other hand, the general form of the equation of circle is given by
x^2 + y^2 + Dx + Ey + F = 0
where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.
If the equation of the circle, x^2 + (y + 1)^2 = 5, is in standard form, then
h = 0
k = -1
r = √5
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HELLOO CAN ANYYONE ON EARTH HELP
Answer:
$ 67. 14
Step-by-step explanation:
first you divide 36 miles by $25.20 to find the fare for one mile then multiply the answer with 47 miles
36 ÷ $25.20 = $1.43
$1.43 × 47 = $ 67. 14
hope you understood what I just said
A family went on a vacation. They drove 120 miles. Dad drove 80% of the distance How many miles did Dad drive?
Answer:96
Step-by-step explanation:
An observation deck extends 310 feet out above a valley. The deck sits 260 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given
by h=-16² +260. How long will it take for the object to be 4 feet above the valley floor?
The time that it will take for the object to be 4 feet above the valley floor will be 4 seconds.
How to illustrate the information?It should be noted that the object is dropped from the observation deck, its height h in feet, after t seconds, is given by h=-16² +260.
Therefore, the time that it will take for the object to be 4 feet above the valley floor will be:
h=-16² +260.
4 = -16t² + 260
4 + 16t² - 260 = 0
16t² - 256 = 0
Collect like terms
16t² = 256
t² = 256/16
t² = 16
t = ✓16
= 4
The time is 4 seconds.
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Find the coordinates of point P on →AB that partitions the segment into the given ratio AP to PB .
b. A(0,0), B(-15,0), 2 to 3
The line segment AB is divided at point P, which has coordinates P(0,-7.5)
A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.
Given are,
A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively
Two minor line segments, AP and PB, are created from the line segment AB by the provided point P
We must determine the dividing point's coordinates, or P.
We'll apply the formula provided,
The coordinates of the point P are given by = ([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex] )
Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0
Putting values in the formula, we get
([tex]\frac{0+0}{2}[/tex], [tex]\frac{0-15}{2}[/tex])
(0,-7.5)
Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)
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elp me, the directions r like evaluate each expression using the variable replacements
Answer:
Step-by-step explanation:
.
If it costs $855.05 for 342.02 feet of specialized wiring, how much does 1 foot of this wiring cost?
(-4)(-19) (-2) help I’m 4 lessons behind
Answer: -152
Step-by-step explanation:
(-4)(-19)(-2)=
(-4)*(38)=
-152
WILL GIVE BRAINLIEST !
URGENT :33
Answer:
1. (3/2)
2. (1/4)
Step-by-step explanation:
6 × ? = 9
÷6 ÷6
-------------------
? = (3/2)
12 × ? = 3
÷12 ÷12
----------------
? = (1/4)
I hope this helps!
I need this answered for me
Answer:
115-m = Current Sum
To lose weight, Kelly reduced her caloric intake from 3000 per day to 2010 per day. What is the percent of decrease in calories?
The percentage of decrease in calories is 33 % .
What is percentage ?
A percentage is a relative figure that represents one tenth of a quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given:
Initial caloric intake = 3000 per day
Final caloric intake = 2010 per day
Therefore percent of decrease in calories = 3000 - 2010 / 3000 x 100
= 33 %
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Jacob runs 3.75 miles a day. His current total is 165 miles. What should Jacob do to see how many days it took him to run that far?
Answer:
Step-by-step explanation:
calculate the miles with the distance
Write an equation of a parabola with vertex at the origin and the given focus.
focus at (0,-5)
The equation that defines the parabola with vertex at the point and focus at (0,-5) is
y = 20x²
What is a parabola?The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.
The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.
In this case we have the vertex of the parabola at the point (0,0) and the focus at the point (0, -5) this is displaced on the y-axis upward, so the parabola is of the form.
y = x²
Canonical equation
(y - yo) = 4p(x - xo)
Vertex (0, 0)xo, yo = (0 , 0)Focus:
f = (0, 0 + p)
(y- 0) = 4*-5(x - 0)²
y = -20x²
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What are the coordinates of the point on the directed line segment from (-9, -10) to (-5, -2) that partitions the segment into a ratio of 5 to 3?
help plis
====================================================
Explanation:
Refer to the diagram below.
Let's define these two point labels
A = (-9, -10)
B = (-5, -2)
which are the two given endpoints of the segment. Let's add in point C such that
C = (-5, -10)
Notice triangle ABC is a right triangle. The 90 degree angle is at point C.
--------------------
The x coordinates of points A and C are -9 and -5 respectively. This is a gap of 4 units. Split this into 8 pieces to find each is 4/8 = 0.5 units wide. Why 8? Because the "ratio 5 to 3" has a total of 5+3 = 8 parts.
Since the first number of that ratio is 5, we'll move 5 parts to the right of point A. So we'll move 5*0.5 = 2.5 units to the right of A.
We go from A(-9,-10) to D(-6.5, -10)
Take note how the segments AD and DC are in ratio 5:3
--------------------
The y coordinates of B and C are -2 and -10 in that order. This is a gap of 8 units. Split this into 8 equal parts, and each part is 1 unit tall.
Start at point C and move upward 5 of those parts, ie 5*1 = 5 units up. You should arrive at point E(-5, -5) shown in the diagram below.
Then draw a vertical line upward from point D until arriving at segment AB. At the same time, draw a horizontal line from point E until arriving at segment AB. Both approaches should get to point (-6.5, -5) which is the final answer. This is denoted as point F in the diagram below (marked in red).
Every year, the Rock and Roll Hall of Fame and Museum inducts legendary musicians and musical acts to the Hall. The table shows the number of inductees for each year.
Represent the data using each of the following:
b. Ordered pairs
( 1 , 11) , ( 2, 8 ) , ( 3 , 9 ) , ( 4 , 8 ) , ( 5 , 7 ) , ( 6, 6 ) are the Ordered pairs.
What is domain and range?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.Definitions of domain and example?
The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, {7,8,9,10} .
Ordered pairs are
( 1 , 11) , ( 2, 8 ) , ( 3 , 9 ) , ( 4 , 8 ) , ( 5 , 7 ) , ( 6, 6 )
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how do i do this??????
Answer:
all interior angles of a triangle adds up to 180°
therefore,
x°+79°+41°=180°
x°+120°=180°
x°=180°-120°
x°=60°
2. When needing to complete a currency exchange, you should (1 point)
O contact a financial institution like a bank
O check online exchigge rates
O go to a currency exchange store
Oa, b, or c
The answer is a you should contact a financial institution like a bank.
The most common types of financial institutions are commercial banks, investment banks, insurance companies, and brokerage firms. These entities offer a wide range of products and services for individual and commercial clients such as deposits, loans, investments, and currency exchange.
The most common types of financial institutions include commercial banks, trust companies investment banks, brokerage firms or investment dealers, insurance companies, and asset management funds.
Local banks and credit unions usually offer the best rates. Major banks, such as Chase or Bank of America, offer the added benefit of having ATMs overseas.
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which expression is missing from step 7?
Answer:
C
Step-by-step explanation:
Because they are two in a addiction like A+B, but they are elevated to the second.
If the solution was D we would have one square in all the espression.
The expression for missing term is (d - e)². The correct option is (A).
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².
The 8th step of the problem is given below,
(1 + d²) + (e² + 1) = d² - 2de + e²
Comparing it with the 7th step (√(1 + d²))² + (√(e² + 1))² = ?
It can be found that the missing term is,
d² - 2de + e²
= (d - e)²
Hence, the missing term in the 7th step is given as (d - e)².
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whats the formula for speed distance and time?
We know the formulae:
[tex]\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}[/tex]
Let us solve an example to understand the concept better.
Example:Question: Find the speed of a car which travelled 12 km in 2 hours.
Solution: We know the following
Car travelled (Distance): 12 kmTime travelled: 2 hoursSubstitute the information provided into the speed formula:
[tex]\implies \text{Speed} = \dfrac{\text{Distance}}{\text{Time}}[/tex]
[tex]\implies \text{Speed} = \dfrac{\text{12 km}}{\text{2 hours}} = \boxed{6 \ \text{km/hour}}[/tex]
Therefore, the speed of the car is 6 kilometers per hour.
Concept #2: Distance FormulaeFrom the previous concept, we had:
[tex]\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}[/tex]
Finding the distance formula through step-by step work:
Let Speed = S, Distance = D, and Time = T.
[tex]\implies \text{S} = \dfrac{\text{D}}{\text{T}}[/tex]
Multiply "t" on both sides:
[tex]\implies \text{S} \times \text{T}= \dfrac{\text{D}}{\text{T}} \times \text{T}[/tex]
[tex]\implies \text{S} \times \text{T}={\text{D}[/tex]
From the above work, we can say that Distance = Speed × Time.
Let us solve an example to understand the concept better.
Example:Question: A train travelled from point A at a speed of 16 km/h in 2 hours to reach point B. Find the distance (Point A - Point B) travelled by the train.
Solution: We know the following
Speed of train: 16 km/hTime taken to travel from A to B: 2 hoursSubstitute the information provided into the distance formula:
[tex]\implies \text{Distance = Speed} \times \text{Time}[/tex]
[tex]\implies \text{Distance = 16 km/h} \times \text{2 hours}[/tex]
⇒ Distance = 16 km × 2 = 32 km
Therefore, the train travelled 32 km to reach point B.
Concept #3: Time FormulaeFrom the previous concept, we had:
[tex]\text{Distance = Speed} \times \text{Time}[/tex]
Finding the time formula through step-by step work:
Let distance = D, speed = S, and time = T
[tex]\implies \text{D = S} \times \text{T}[/tex]
Dividing "S" both sides:
[tex]\implies \dfrac{\text{D}}{\text{S}} = \dfrac{\text{S} \times \text{T}}{\text{S}}[/tex]
[tex]\implies \dfrac{\text{D}}{\text{S}} = \text{T}[/tex]
From the above work, we can say that Distance/Speed = Time.
Let us solve an example to understand the concept better.
Example:Question: A plane traveled 200 km at a speed of 100 km/h. How much time did it take to travel 200 km?
Solution: We know the following
Distance travelled by the plane: 200 kmSpeed of plane: 100 km/hSubstitute the information provided into the time formula:
[tex]\implies \text{Time} = \dfrac{\text{Distance}}{\text{Speed}}[/tex]
[tex]\implies \text{Time} = \dfrac{\text{200 km}}{\text{100 km/h}} = \dfrac{\text{2 km}}{\text{1 km/h}} = \boxed{\text{2 hours}}[/tex]
Therefore, it took 2 hours to travel 200 km at a speed of 100 km/h.
________________________________________________________
I NEED HELP, it’s for baking by
Answer:
You would copy the spoon called "1 teaspoon" which is the second spoon and paste it inside the box twice. Then you would copy the third spoon called "1/2 teaspoon" and paste it inside the box once.
Step-by-step explanation:
-
A bicycle has tires with a diameter of 26 inches. Find the radius and circumference of a tire. Round to the nearest hundredth, if necessary.
A circle is a curve sketched out by a point moving in a plane. The radius and the circumference of the circle are 13 inches and 81.6814 inches, respectively.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
Given that diameter of the circle is 26 inches. Therefore, the radius and the circumference of the circle can be written as,
Diameter of circle = 2 × (Radius of the circle)
Radius of the circle= Diameter of circle / 2
Radius of the circle = 26 inches / 2
Radius of the circle = 13 inches
Circumference of circle = 2 × π × (Radius of the circle)
= 2 × π × 13 inches
= 26π inches
= 81.6814 inches
Hence, the radius and the circumference of the circle are 13 inches and 81.6814 inches, respectively.
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