Answers
We have to find the equation of a circunference with:
[tex]\begin{gathered} \text{Center}=(-3,7) \\ \text{Passes through the point P}=(-6,-2) \end{gathered}[/tex]As it is a circunference that passes through a point, we know that the distance between the center and the point must be the radius, as all points in a circunference are at the same distance from the center.
We will find then the radius, by calculating the distance:
[tex]\begin{gathered} d(C,P)=\sqrt[]{(-3-(-6))^2+(7-(-2)_{})^2} \\ =\sqrt[]{(-3+6)^2+(7+2)^2} \\ =\sqrt[]{3^2+9^2} \\ =\sqrt[]{9+81} \\ =\sqrt[]{90} \end{gathered}[/tex]Now, this means that the radius is √90.
We use the standard form for the equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]where (h,k) is the center of the circle. In this case,
[tex](h,k)=(-3,7)[/tex]And replacing, we obtain that the equation of the circle is:
[tex]\begin{gathered} (x+3)^2+(y-7)^2=(\sqrt[]{90})^2 \\ (x+3)^2+(y-7)^2=90 \end{gathered}[/tex]
Related Questions
Please help me i have tried this for two days
Answers
Given the functions:
[tex]\begin{gathered} f(x)=x^2 \\ g(x)=x^2+4 \end{gathered}[/tex]We will find the following composite functions:
a) f o g:
[tex]\begin{gathered} (f\circ g)(x)=(x^2+4)^2 \\ (f\circ g)(x)=x^4+8x^2+16 \end{gathered}[/tex]The resulted function is a polynomial function
The domain of the function is all real numbers
b) g o f:
[tex]\begin{gathered} (g\circ f)(x)=(x^2)^2+4 \\ (g\circ f)(x)=x^4+4 \end{gathered}[/tex]The domain of the function is all real numbers
c) f o f:
[tex]\begin{gathered} (f\circ f)(x)=(x^2)^2 \\ (f\circ f)(x)=x^4 \end{gathered}[/tex]The domain of the function is all real numbers
d) g o g:
[tex]\begin{gathered} (g\circ g)(x)=(x^2+4)^2+4 \\ (g\circ g)(x)=x^4+8x^2+16+4 \\ \\ (g\circ g)(x)=x^4+8x^2+20 \end{gathered}[/tex]The domain of the function is all real numbers
A child pushes a toy car with a force of
5.25 N a distance of 6.5 m. The car rolls
for a total distance of 32 m. How much
work is done on the toy car?
Answers
The work is done on the toy car is 164.4 J .
How to calculate work done?We are aware that the definition of work is the multiplication of the magnitude of the displacement (d) and the component of the force acting in the displacement direction.
When an object moves over a distance while being applied with force, the work is considered to have been completed.
Three categories can be used to classify the type of labor performed. Positive work, negative work, and zero work are the three types. The angle between force and displacement determines the kind of work that is done. Positive work is defined as any work that causes an object to move in the direction of the applied force.
Given ,
Work = force * distance
Force = 5.2 N
Distance = 32 m
So ,
Work = 5.2 * 32
= 166. 4 J
Therefore the work is done is 164.4 J
To learn more about work done refer to:
https://brainly.com/question/25816840
#SPJ1
I need to convert the numbers to presents then put them in order least to greatest
Answers
We have the next numbers
And we must put them in order least to greatest
In order to put them in order we can write all numbers as percents
- 1/3
[tex]\frac{1}{3}=0.333\cdot100\text{ \%}=33.333\text{ \%}[/tex]- 0.3
[tex]0.3\cdot100\text{ \%}=30\text{ \%}[/tex]- 8/25
[tex]\frac{8}{25}=0.32\cdot100\text{ \%}=32\text{ \%}[/tex]Now, we have all numbers in percents. So we can order them
30% -> 32% -> 33% -> 33.333% -> 33.6%
First try was incorrect
Latasha earns a 14.8% commission as a salesperson. She sold a
kitchen play set for $160.87.
What is the amount of Latasha's commission? Round your answer to
the nearest hundredth.
2
#x²
label required
X M
Answers
The commission earned by Latasha is $23.81
Given:
Latasha earns 14.8% commission as a salesperson.
She sold a kitchen play for $160.87
we are asked to determine the amount of Latasha's commission = ?
we should take out the percentage of the item she sold:
= 14.8% of $160.87
= 14.8/100 × 160.87
= 2380.876/100
= 23.808
Hence Latasha earns a commission of $23.808 for selling a kitchen play set.
Learn more about Percentage here:
brainly.com/question/843074
#SPJ9
help meeeeeeeeee pleasee
Answers
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
Which expressions are equivalent to this expression?
4x +4
Select each correct answer.
Ox+3x+4
2x+1+2x+3
2(2x+2)
1 2 3
PLEASE ANSWER ASAP FINISHES 8:30
Answers
option(c):- 2(2x+2)
Step-by-step explanation:
2(2x+2)
= 4x+4.
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
so you have too..
The Toyota Camry was the top-selling
passenger car in the United States in
2007, followed by the Honda Accord.
Accord sales were 81 thousand less than
Camry sales, and 865 thousand of the
two types of cars were sold. How many
of each make of car were sold?
Answers
The total no of Accord sold and The total no of Camry sold are 392000 and 473000 respectively.
What is addition?In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
Given:
The total no of Accord sold = The total no of Camry sold - 81000,
According to question
The total no of Accord sold + The total no of Camry sold = 865000
The total no of Camry sold - 81000+The total no of Camry sold =865000,
The total no of Camry sold = 865000+81000 / 2
The total no of Camry sold = 473000, and
The total no of accord sold = 473000 - 81000 = 392000,
Therefore, the total no of Accord sold and The total no of Camry sold are 392000 and 473000 respectively.
To know more about addition:
https://brainly.com/question/28008319
#SPJ1
1: 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder. How do I find the proportional relationship
Answers
When 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder, the relationship is 1 teaspoon for 5 1/3 muffins. This was gotten through division.
What is a proportional relationship?A proportional relationship exists between two variables if all of their ratios are equivalent. In other words, one variable in a proportional relationship is always a constant value multiplied by the other variable. This constant value is known as the. proportionality constant
When we fill up our car with gas, there is a connection between the number of gallons of fuel we put in the tank and the amount of money we will have to pay. To put it another way, the more gas we put in, the more money we'll have to pay. This illustrates a proportional relationship
In this case, 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder, the relationship will be:
= 8 ÷ 1 1/2
= 8 × 2/3
= 5 1/3 muffins
Learn more about proportional relationship on:
https://brainly.com/question/28777033
#SPJ1
VWXY is a parallelogram. Find the measure of XY and WY 8
Answers
Remember that
in a parallelogram, the diagonals bisect each other
that means
VZ=ZX
substitute given values
n+7=3n
solve for n
3n-n=7
2n=7
n=3.5
therefore
VX=(n+7)+3n ----> by addition segments postulate
VX=4n+7
substitute the value of n
VX=4(3.5)+7
VX=21Find the length of one side of a square inscribed in a circle that has a radius of 4 cm.
Answers
The length of one side of a square = 8 cm
To find out the length of one side of a square that is inscribed in a circle that has a radius of 4 cm:
Since the square is inscribed in the circle, a diagonal
of the square is a diameter of the circle.
The diameter of the circle = 2 x radius = 8 cm .
The diagonal of the square = 8 cm.
The diagonal of a square is (length of a side) x (√8).
Side x √8 = 2√2 cm
Divide each side by √2:
Side = 8 cm / √2 = 8 √2 / √2 = 8 cm.
Hence the answer is the length of one side of a square = 8 cm
To learn more about diameters click here https://brainly.com/question/390660
#SPJ9
HELP PLSSS CAN SOMEONE SOLVE THIS
Answers
Step-by-step explanation:
we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
a, b, c being the sides, A, B, C being the opposing angles of the sides.
and remember, the sum of all angles in a triangle is 180°.
so,
JL/sin(90) = KL/sin(72)
JL/1 = KL/sin(72)
KL = JL × sin(72) = 10 × 0.951056516... =
= 9.51056516... ≈ 10
JK/sin(L) = JL/sin(90) = JL
JK = JL × sin(L)
angle L = 180 - 90 - 72 = 18°
JK = JL × sin(18) = 10 × 0.309016994... =
= 3.09016994... ≈ 3
what would the graph for y>x2-4x+3 look like
Answers
Answer:
The attached image below is what y>x2-4x+3 would look like
A maple tree can grow on average to be 90 feet tall. Redwood trees can grow to be \large 2\frac{2}{3} times bigger than a maple tree. What is the average height of a Redwood tree?
Answers
Average height of a Redwood tree is 240 feet
What are mixed numbers?A mixed number is a fraction that has an integer part and a fractional part. For example,[tex]\large 3\frac{1}{7}[/tex] is a mixed fraction. Also called a mixed number. Following are the steps to convert mixed fractions to improper fractions:
Multiply the denominator of the fraction part with the whole number part.Add the numerator to the product obtained from step 1.Write the improper fraction with the sum obtained from step 2 in the numerator/denominator form.Given,
Average height of maple tree = 90 feet
Average height of a Redwood tree is [tex]\large 2\frac{2}{3}[/tex] times 90
So, average height of a Redwood tree will be = [tex]\large 2\frac{2}{3}[/tex] × 90
Convert [tex]\large 2\frac{2}{3}[/tex] to improper fraction which is [tex]\frac{8}{3}[/tex]
= [tex]\frac{8}{3}[/tex] × 90
= 8 ×30
= 240 feet
To know more about mixed numbers visit:
https://brainly.com/question/2639375
#SPJ1
Every day, an automobile factory assembles 12 more cars than trucks.
Let t represent the number of trucks assembled and c represent the number of
cars assembled.
Use the function c = t + 12 to find the value of c when t = 1.
C=
Answers
The value of C is 13.
What is mean by mathematical operation ?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.
An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.
Given ,
The automotive manufacturer produces 12 more automobiles than trucks each day.
T is the input and c is the output in this connection. Therefore, by adding 12 to t, you may calculate c.
Write this connection as a function.
c = t + 12
To determine the value of c, replace t in the function with 1 instead.
c = t+12
c = 1 + 12
c = 13.
Therefore the value of C is 13
To learn more about mathematical operator refer to:
https://brainly.com/question/28294142
#SPJ1
I NEED HELP PLS!!!!
Determine whether the statement is always, sometimes, or never true.
When the measure of ∠4 is 120°, the measure of ∠1 is 60°.
Answers
The given statement is always true.
Define Angle.
An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
We have a geometrical figure and a statement describing it.
The given statement is -
When the measure of ∠4 is 120°, the measure of ∠1 is 60.
We have ∠4 = ∠1 = 120° {vertically opposite angles}
and
∠1 + ∠2 = 180°
∠1 = 180 - 120 = 60°
Therefore, the given statement is always true.
To solve more questions on Geometrical angles, visit the link below -
brainly.com/question/1599887
#SPJ1
find the the slope that passes through (5,14 and (8,7)
Answers
We find the slope(m) by replacing the values in the following expression:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]That is:
[tex]m=\frac{7-14}{8-5}\Rightarrow m=-\frac{7}{3}[/tex]So, the slope equals -7/3.
Also Due Today
2. Which point is located on the line represented by the equation y + 4 = - 5(x - 3)
(- 4, - 5)
(- 5, - 4)
(3, - 4)
(- 3, 4)
3. Which equation represents the line that passes through the points (6, - 3) and (- 4, - 9) ^ prime
y + 4 = 3/5 * (x + 9)
y + 3 = 3/5 * (x - 6)
y - 3 = 3/5 * (x + 6)
y + 4 = 5/3 * (x + 9)
Answers
2) (3, -4)
3) y + 3 + 3/5 (x - 6)
If a line bisects a segment, then the segment is divided into two congruent parts.
Converse:
Inverse:
Contrapositive:
Answers
In converse, a segment is divided into two congruent portions if a line bisects it.
What is converse?A line bisects a segment if it can be divided up into two congruent portions. A line does not cut a section in half if it is not separated into two equal parts.A line is split into two equal parts by a bisector. Therefore, when we refer to a perpendicular bisector of a line segment AB, we mean that it bisects or divides AB into two equal halves. It is perpendicular to AB or at right angles to it. The distance between each point on the perpendicular bisector from points A and B is equal.Contrarily, if two segments are congruent, they have the same length. Inverse: Two segments have different lengths if they are not congruent.To learn more about line bisector refer to :
https://brainly.com/question/27948960
#SPJ1
The quotient of two numbers is 2. Their product is 128. What are the two numbers?
Answers
Let's use the variables x and y to represent the two numbers.
If the quotient is 2 and the product is 128, we have:
[tex]\begin{gathered} \begin{cases}\frac{x}{y}=2 \\ xy=128\end{cases} \\ \\ \frac{x}{y}=2\to x=2y \\ \\ xy=128 \\ (2y)y=128 \\ 2y^2=128 \\ y^2=64 \\ y=\pm8 \\ \\ y=8\to x=2\cdot8=16 \\ y=-8\to x=2\cdot(-8)=-16 \end{gathered}[/tex]So the numbers can be 16 and 8 or -16 and -8.
What is the approximate surface area of an AA battery?
a. 5,583 mm^2
b. 1,242 mm^2
c. 2,176 mm^2
d. 2,485 mm^2
Answers
The approximate surface area of an AA battery would be = 5,583 mm^2. That is option A.
What is an AA battery?An AA battery is defined as the type of battery that is used to supply chemical energy to electronic gadgets.
The AA battery has the shape of a cylinder and the formula for the surface area of cylinder:
h = 49.5mm
r = 14mm
π = 3.14
A=2πrh+2πr²
A = (2×3.14 ×14×49.5)+ (2× 3.14×14²)
A = 4,352.04 + 1,230.88
A = 5582.92
Therefore the surface area of the AA battery is approximately 5,583 mm^2.
Learn more about surface area here:
https://brainly.com/question/28062681
#SPJ1
Answer: D. 2,485 mm²
Step-by-step explanation: Right on Plato
In parallelogram ABCD, AE=x2−8and CE=2x.
What is AC?
Responses
4
4
8
8
16
16
24
24
A parallelogram A B C D with diagonals that intersect at point E.
Answers
Answer:
Step-by-step explanation:
ac is Definition: Alternating Current (AC) is a type of electrical current, in which the direction of the flow of electrons switches back and forth at regular intervals or cycles. Current flowing in power lines and normal household electricity that comes from a wall outlet is alternating current.
Andrew spent $12 on 25 Twix bars.How many did each twixt bar cost him?
Answers
Answer: 48 cents on each twix bar
Step-by-step explanation: divide 12 by 25, which would come out to 0.48, to ensure this is correct you can multiply 0.48x25 and it would be 12
he spent 48 cents on each twix bar
(division)
2x^2-3x=1
i need a step by step please
Answers
The solutions of the quadratic equation are:
x = 7/4
x = -1/4
How to solve the quadratic equation?Here we have the quadratic equation:
2x^2 - 3x = 1
Remember that the general quadratic equation:
a*x^2 + b*x + c = 0
Has the solutions:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]
Then our quadratic equation:
2x^2 - 3x = 1
2x^2- 3x - 1 = 0
The solutions are:
[tex]x = \frac{3 \pm \sqrt{(-3)^2 - 4*2*-1} }{2*2}\\\\x = \frac{3 \pm 4}{4}[/tex]
So the two solutions are:
x = (3 + 4)/4 = 7/4
x = (3 - 4)/4 = -1/4
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
There are 10 number cards, numbered 1 - 10, what is the probability of randomly selecting an even number from the cards? Determine the likelihood of this event.The subject is math.
Answers
SOLUTION
Since they are 10 cards, the total possible outcome is 10.
There are five cards bearing even numbers. These are 2, 4, 6, 8 and 10
[tex]\begin{gathered} \text{Probability = }\frac{n\text{umber of outcomes}}{\text{total possible outcomes }} \\ \\ \text{Probability = }\frac{5}{10\text{ }} \\ \\ \text{= }\frac{1}{2} \end{gathered}[/tex]Line XY is the mid-segment of trapezoid ABCD find the length of line XY
Answers
Length of line XY is 12cm
Explanation:We apply the mid-segment of trapezoid theorem:
[tex]\begin{gathered} \text{mid segment = }\frac{small\text{ base + big base}}{2} \\ \text{small base = AB} \\ \text{big base = DC} \end{gathered}[/tex][tex]\begin{gathered} \text{mid segment = }\frac{AB\text{ + DC}}{2} \\ AB\text{ = 9cm} \\ DC\text{ = 15cm} \\ \text{mid segment = }\frac{9\text{ + 15}}{2} \end{gathered}[/tex][tex]\begin{gathered} \text{midsegment = }\frac{24}{2} \\ \text{midsegment = }12 \\ XY\text{ = midsegment = 12cm} \end{gathered}[/tex]Length of line XY is 12cm
Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.Each slice of pie sells for $3.50.Part A:Write an expression to represent Cindy's profit is she sells b slices of blueberry pie and c slices of cherry pie. Part B:Cindy sells 24 slices of blueberry pie and 15 slices of cherry pie. The next day, she sold 26 slices of blueberry pie and 17 slices of cherry pie. What was her total profit?
Answers
A) 3.5a +3.5b ≥ 128.09 B) Total profit: $158.91
1) Gathering the data
$65.25 ingredients for blueberry pies
$62.84 cherry pie
Each slice
3.50
A) Since Cindy's profit relies on her sales we can write
b = slices of blueberry
c = cherry pie slices
3.50b +3.50a ≥ 65.25+62.84
3.5a +3.5b ≥ 128.09
B) Gathering those data and adding the number of slices that were sold:
1st day
b= 24
a =15
2nd day
b=26
a=17
Plug into that:
Profit: 3.5(15+17) + 3.5(24+26)
P =287
$287 was the total revenue
Cherry pie cost of production 62.84
3.5(15+17)=112
Profit = 112 -62.84
Profit = $49.16
Blueberry cost of production: $65.25
3.5(24+26) =175
175 - 65.25 =109.75
Profit $ 109.75
Total profit: $158.91
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x^2+ 3x-5 =0
Answers
Answer:
X would be -5/2 and 1
Step-by-step explanation:
The quadratic formula is (-b±√(b^2-4ac))/2a. By substituting the values in, we get the expression (-3±√(3^2-4(2)(-5))/2(2). By Simplifying, we get (-3±√(9+40))/4. More simplification: (-3±√(49))/4. Even more simplification: (-3±7)/4. The expression now splits into two parts, (-3-7)/4, and (-3+7)/4. The first expression becomes -10/4, which simplified is -5/2. The second expression becomes 4/4, which simplifies to 1. Therefore, your answers are x=1, -5/2.
Hope this helps!
How long does it take General Nanisca and the Agojie warriors to get
to the Oyo Empire if they are traveling 23 kilometers per sec to miles per hour?
Answers
The given speed in kilometers per sec to miles per hour is 51449.534 mph.
Given that, the Oyo Empire if they are traveling 23 kilometers per sec.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Now, the conversion of kilometers per sec to miles per hour is as follows:
To convert a kilometer per second measurement to a mile per hour measurement, divide the speed by the conversion ratio.
Thus, mph = km/s ÷ 0.00044704
Now, 23/0.00044704
= 51449.534 miles per hour
Hence, the given speed in kilometers per sec to miles per hour is 51449.534 mph.
To learn more about the speed, distance, and time visit:
brainly.com/question/4978052.
#SPJ1
HELP!
Find three consecutive odd integers such that twice the sum of the second and the third is 43 more than three times the first
Answers
Answer: 31, 33, and 35
Step-by-step explanation:
Let’s set up a model for an odd integer: 2x+1. This number has to be odd because it’s an even number plus 1. 3 consecutive days numbers would be 2x+1, 2x+3, and 2-+5. Now we can set up the equations.
2(2x+3+2x+5)=43+3(2x+1)
Simplify:
4x+6+4x+10=43+6x+3
8x+16=6x+46
2x=30
x=15
Now put that back into our original number expressions:
2(15)+1, 2(15)+3, 2(15)+5
31, 33, and 35