For the circle with equation (x-2)^2+(y+3)^2=9, answer each question. a) whats coords of the center? b) what are the radius and diameter of the circle? c) graph.
Answers
Answer:
a) center (2, -3)b) radius r = 3c) in the attachmentStep-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have:
[tex](x-2)^2+(y+3)^2=9\\\\(x-2)^2+(y-(-3))^2=3^2[/tex]
a) center (2, -3)
b) radius r = 3
c) in the attachment
The answers are:
a) The point (2, -3).b) The radius is 3 units, and the diameter is 6 units.c) The graph can be seen below.What is the equation of a circle?
The equation of a circle centered in the point (a, b) of radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Then for the equation:
(x-2)^2+(y+3)^2 = 9 = 3^2
We can see that:
a) The center is the point (2, -3)
b) The radius is R = 3, and the diameter is twice the radius, so it is equal to 6.
c) The graph can be seen below:
If you want to learn more about circles, you can read:
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Related Questions
A right rectangular prism's edge lengths are 9 inches, 9 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 1/2 inch can fit inside the prism?
Answers
ANSWER
2160 cubes
EXPLANATION
The given rectangular prism has edge lengths,
9 inches,9inches and 3⅓ inches.
The volume of this rectangular prism is
[tex]V = 9 \times 9 \times \frac{10}{3} [/tex]
[tex]V = 3 \times 9 \times 10 = 270 {in}^{3} [/tex]
A cube with unit edges of length
[tex] \frac{1}{8} [/tex]
has volume.
[tex]v = {( \frac{1}{8}) }^{3} = \frac{1}{8} [/tex]
The number of unit cubes that can go into the prism is
[tex] = \frac{270}{ \frac{1}{8} } = 2160[/tex]
Can you guys pls help me out
Answers
Answer:
D. $2 million
Step-by-step explanation:
make it a porportion - easier to complete the problem..
30,000 / ? = 1.5% / 100%
30,000 * 100 = 3,000,000 / 1.5% = 2,000,000
hope this helps!!
What is the y-intercept of y=-3-7r?
Answers
Answer:
y-intercept: -3Step-by-step explanation:
y-intercept is for r = 0.
We have the equation y = -3 - 7r.
Substitute r = 0:
y = -3 - 7(0) = -3 - 0 = -3
Other way.
The slope-intercept form of an equation of a line:
y = mx + b (y = mr + b).
m - slope
b - y-intercept
We have the equation y = -3 - 7r = -7r - 3. Therefore m = -7 and b = -3.
Find a decimal between 0.001 and 0.002
Answers
Answer:
0.000111
Step-by-step explanation:
0.0015 is a decimal between 0.001 and 0.002.
What is Number system?A number system is defined as a system of writing to express numbers.
To find a decimal between 0.001 and 0.002, you can take the average of the two numbers.
The average of 0.001 and 0.002 is:
(0.001 + 0.002) / 2
= 0.003 / 2
= 0.0015
Therefore, 0.0015 is a decimal between 0.001 and 0.002.
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there are 150 more passenger cars than trucks on the highway. for every 10 passenger cars there are 7 trucks. how many trucks are on the highway?
Answers
Answer:
500
Step-by-step explanation:
Given: P = 150 - T where P is passenger cars and T is trucks
10P = 7T ⇔ P = [tex]\frac{7T}{10}[/tex]
Plug in equation 2 into equation 1:
[tex]\frac{7T}{10}[/tex] = 150 - T
Solving for T, we get 500
Answer:
There would be 500 passenger cars and 350 trucks.
Step-by-step explanation:
In order to find this, we need to create a system of equations. Start by making the number of passenger cars as x and the number of trucks at y. Now the first equation can be the difference of the two.
x - y = 150
The second equation can make use of the proportion. If we multiply by the opposites we'll get the difference of 0.
7x - 10y = 0
Now we multiply the first equation by -10 and add together to solve for x.
-10x + 10y = -1500
7x - 10y = 0
-------------------
-3x = -1500
x = 500
Now we can find the amount of trucks by using either equation.
x - y = 150
500 - y = 150
-y = -350
y = 350
A student is trying to solve the system of two equations given below:
Equation P: y + z = 4
Equation Q: 3y + 7z = 15
Which of the following steps can be used to eliminate the y term?
A)−3(y + z = 4)
B) 3(y + z = 4)
C)−1(3y + 7z = 15)
D) −3(3y + 7z = 15)
Answers
Answer:
A)−3(y + z = 4)
Step-by-step explanation:
Equation P: y + z = 4
Equation Q: 3y + 7z = 15
To eliminate the y term, The equations have to have the coefficients on y equal and opposite.
Equation Q has 3y, so Equation P needs -3y
Multiply equation P by -3
−3(y + z = 4)
Answer:
A
Step-by-step explanation:
george works for a garden center where is is paid a salary of 350 per week plus a commission of 6% of the amount of merchandise that he sells. Last week his sales totaled 1,850. What was his gross pay?
Answers
Answer: His gross pay is $461.
Step-by-step explanation: George’s gross pay consists of two parts, his salary and his commission. His salary is $350, regardless of how much he sells. His commission is 6% of the $1,850 in sales that he made.
First, calculate the amount of commission = .06 x $1,850 = $111
$350 + $111 = $461
Christopher made a scaled copy of the following trapezoid. He used a scale factor greater than 1. What could be the length of the side that corresponds with BC
a.) 1/5 units
b.) 4 units
c.)15.5 units
d.)24 units
e.)18 units
Answers
Answer:
The correct options are c, d and e.
Step-by-step explanation:
From the given graph it is clear that the length of BC is 5 units.
Christopher made a scaled copy of the following trapezoid.
1. If a the scale factor is less than 1 then the image is smaller than its original figure.
2. If a the scale factor is greater than 1 then the image is larger than its original figure.
It is given that he used a scale factor greater than 1. So, the scaled copy of the following trapezoid is larger than the given trapezoid.
The length of corresponds with BC is greater than 5.
[tex]\frac{1}{5}<5[/tex]
[tex]4<5[/tex]
[tex]15.5>5[/tex]
[tex]24>5[/tex]
[tex]18>5[/tex]
Therefore, the correct options are c, d and e.
What is the probability that the roll of a six-sided die will be either even or odd?
Answers
the probability that the roll of a six-sides die will be either even or odd is 1/2 or 50%
The probability of a six-sided die will be either even or odd is 1/2.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
A die is rolled once.
The sample space = {1, 2, 3, 4, 5, 6}
An even number sample space = {2, 4, 6}
Odd number sample space = {1, 3, 5}
The probability of a six-sided die will be either even or odd,
= 3/6
= 1/2
Therefore, 1/2 is the probability.
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a circle has a circumference of 20. It has an arc length of 4, what is the central angle of the arc in degrees?
Answers
Answer:
Angle = 72°Step-by-step explanation:
To find the length of an arc,
Angle/360 * circumference
Length = 4
Angle = ?
circumference = 20
Angle/360 * 20 = 4
Rearrange to find the Angle.
Angle/360 = 4 / 20 = 0.2
Angle = 360 * 0.2
Angle = 72°Answer:
It’s correct
Step-by-step explanation:
Thanks
solve for x {please lol}
Answers
Answer: 80
Step-by-step explanation:
Lol. So we are trying to find x, yeah?
Whatever 2 angles that are inside the triangle add up to x.
And you know a triangle adds up to 180°
So do 180 - 100 = 80°
So, x = 80°
:)
Answer:
21
Step-by-step explanation:
A rectangular one-story house covers an area of 1800 square feet. The ceilings are 10 feet high. What is the volume
Answers
Answer:
The volume of the rectangular one-story house is [tex]18,000\ ft^{3}[/tex]
Step-by-step explanation:
we know that
To find the volume, multiply the area of the base by the height
so
[tex]V=1,800*(10)=18,000\ ft^{3}[/tex]
Now substitute each of these values into the correct blank space in the quadratic formula.
−(1.__)±(2.___)2−4(3.___)(4.___)√2(5.__)
1__
2.__
3.__
4.__
5.__
Question 3 (2 points)
Answers
1: -b
2:√b^2
3: -4ac
4: ÷2a
How do I solve for X
Answers
Answer:
x = 140
Step-by-step explanation:
The figure is a quadrilateral. That means it has 4 sides and more importantly for this question 4 angles. All quadrilaterals have 4 angles that add up to 360o.
You know 3 of the angles. The fourth one is x.
90 + 90 + 40 + x = 360 Combine like terms on the left
220 + x = 360 Subtract 220 from both sides.
220 - 220 + x = 360 - 220 Combine all like terms
x = 140
La altura h sobre el nivel del suelo (en pies) de un cohete de juguete, t segundos después de ser lanzado, está dada por h = -16t2 + 120t. ¿Cuándo estará el cohete a 180 pies sobre el suelo?
Answers
Answer:
The solutions are
t=2.07 sec and t=5.43 sec
Step-by-step explanation:
The question in English
The height h above ground level (in feet) of a toy rocket, t seconds after it is launched, is given by h = -16t2 + 120t. When will the rocket be 180 feet above the ground?
we have
[tex]h=-16t^{2}+120t[/tex] -----> equation A
[tex]h=180[/tex] -----> equation B
equate the equation A and equation B
[tex]180=-16t^{2}+120t[/tex] ------> equation C
we know that
The solution of the equation C is equal to the x-coordinate of the intersection point of the graph equation A and the graph of the equation B
so
using a graphing tool
The solutions are
t=2.07 sec and t=5.43 sec
see the attached figure to better understand the problem
if m<W=9x-3 and m<Z=3x+15 solve for x
Answers
Answer:
x = 14
Step-by-step explanation:
W and Z are adjacent angles. So they are supplementary and add to 180 degrees.
W + Z = 180
9x - 3 + 3x + 15 = 180
12x + 12 = 180 12x = 180 - 12
12x = 168
x = 168/12
3. Find the volume of the cylinder
4. Find the volume of a cylinder with a diameter of 16mm and a height of 5.7 mm.
Answers
Substituting the values in, we get π(8²)(5.7), which gives us roughly 1146mm^3.
Answer:
[tex]3)~v=8491mm^3[/tex]
Step-by-step explanation:
3) volume of cylinder is...
v= πr²h
plug r= 13 and h=16
v=π(13)²(16)v=π(13×13)(16)v=π(169)(16) ← plug π=3.14v=3.14(2704)v=8490.56v=8491mm^3so, your answer is B
------------------------------
hope it helps...
have a great day!!
How would I simplify and solve for X in this trigonometric equation? (Radians)
[tex]cos(x+\pi )^{2} = sinx[/tex]
Answers
Answer:
Please, refer to the images below
Step-by-step explanation:
We need to solve for x in the equation
cos (x+ pi) ^2 = sin (x)
cos (x+ pi) = - cos(x)
(-cos (x)) * (-cos (x)) = sin(x)
cos(x) ^2 = sin(x)
We know that
cos(x) ^2 + sin(x) ^2 = 1
cos(x) ^2 = 1 - sin(x) ^2
1 - sin(x) ^2 = sin(x)
sin(x) ^2 + sin (x) -1 = 0
Let A = sin(x)
A^2 + A - 1 = 0
(solutions attached in picture 1)
This means that
x = arcsin(A)
(solutions attached in picture 2)
2 DIVIED BY 1/4= 1/6 DIVIED BY 2=
6 DIVIED BY 1/3= 1/3 DIVIED BY 6=
2 DIVIED BY 1/3= 3 DIVIED BY 1/4=
5 DIVIED BY 1/2= 1/2 DIVIED BY 5=
Answers
2 dive by 1/4= 8
6 dive by 1/3 = 18
2 dive by 1/3 = 6
5 dive by 1/2= 10
1/6 dive by 2= 1/12
1/3 dive by 6= 1/18
3 dive by 1/4= 12
1/2 dive by 5= 1/10
Answer:
Step-by-step explanation:
0.01041666666
★彡 яαи∂σм qυєѕтισи #2 彡★
ωσятн 30 ρσιитѕ!
SHOW YOUR WORK! WILL MARK BRAINLIEST!
● + ● + ● = 30
● + ○ + ○ = 18
○ - ■ = 2
● + ○ + ■ = ?
Answers
Answer: 16
Step-by-step explanation: If 3 black circles equal 30, we can divide that by 3 and get 10. If 1 black circle and 2 white circles equal 18, we can subtract 10 and get left with 2 white circles worth 8, which means a white circle is 4. A white circle minus a square is 2, which means a square is 2. So we put this all together and get 16.
 Question:
The time required for a skilled worker to produce x shirts is given by the function T(x) = 4x + 2, where T is measured in hours. The salary the she is paid is given by the function S(T) = 15T, where S is measured in dollars.
A. If the worker produces 18 units, what will she be paid?
B. How many units would the worker need to produce to be paid $3,030?
Answers
Answer:
A) The worker is paid S= $ 1110 for producing 18 units.
B) The worker is paid $3,330 for producing x= 50 units.
Step-by-step explanation:
a) given x = 18 units
Time required T(x) = 4x+2
= 4(18)+2
= 72 +2
= 74 hrs
Amount paid S(T) = 15 T
= 15 ( 74) = $ 1110
b) Since S is given, S= $3,030
S(T)= 15 (T)
3030 /15= T
202 hrs= T
Now, we can find x:
T(x) = 4(x) +2
202 = 4x + 2
202-2 = 4x
200 / 4 =x
50 = x
so, worker produces 50 units.
i need help, please help me please
Answers
Answer:
a. how old are the people living in ______(where you are)?
b. What is the people living in _____ (where you are) favorite color?
c. What is the age of the principals in the schools that are in ____ county?
3. How far do the students at _____ school live from school?
4. Do the students at ___ school enjoy to write with pencils, pens, markers, or crayons the most?
5. What is the age of the math teachers in the schools that are in ____ county?
Step-by-step explanation:
Chen completed the division problem below.
Answers
Answer:
The error is:
He multiplied the dividend by 100 instead of 10
Step-by-step explanation:
∵ 1.926 ÷ 0.9 ⇒ means
1.926 = 1926/1000 ⇒ dividend
0.9 = 9/10 ⇒ divisor
* [tex]\frac{1926}{1000}[/tex] ÷ [tex]\frac{9}{10}[/tex]
[tex]\frac{1926}{1000}[/tex] × [tex]\frac{10}{9}[/tex]
[tex]\frac{1926}{100}[/tex] × [tex]\frac{1}{9}[/tex]
∵ 1926/100 = 19.26 ⇒ dividend
∴ 19.26 ÷ 9 = 1926/100 ÷ 9
19 ÷ 9 = 2 with remainder 1/9
12 ÷ 9 = 1 with remainder 3/9
36 ÷ 9 = 4 no remainder
∴ The quotient is 214/100 = 2.14
Answer:He multiplied the dividend by 100 instead of 10
Step-by-step explanation:
Rewrite f(x) = x2 + 12x + 26 in general form. Because both sides of the equals sign will be manipulated, replace the f(x) with the variable y.
Answers
Answer:
The equation
f(x) = x^2 + 12*x + 26
can be rewritten as
y = x^2 + 12*x + 26
More information about this equation can be seen in the picture attached below.
A smartphone costs $120. Sales tax is 8%. What is the total cost, including tax?
Answers
Find measure a and b
Answers
Answer:
162.5
Step-by-step explanation:
subtract 35 away from 180 then divide it by 2 = 162.5
Check the picture below.
recall that a flat-line has 180°.
what is 45=m(25)+b solving for m
Answers
Answer:
[tex]\frac{45-b}{25}[/tex]
Step-by-step explanation:
given
45 = 25m + b ( isolate the term in m by subtracting b from both sides )
45 - b = 25m ← divide both sides by 25
[tex]\frac{45-b}{25}[/tex] = m
Sabrina needs $12,000 for her first year of college. Her mom has already saved $9,000. Sabrina has to pay the rest. She has 8 months to save enough money for her first year of college. How much does she need to save each month ?
Answers
Answer:
$375
Step-by-step explanation:
subtract 9,000 from the 12,000, then divide the 3,000 by 8 and you get 375.
She needs to save $375 each month. This is because the total she needed was $12,000 but her mom paid $9,000 which leaves $3,000 and she has eight months and 3,000 divided by 8 = $375
Hope this helps.
The area of the base of a rectangular prism is 36 cm 2
square inches the height of the prism is 3 and 5/6 CM what is the volume of the prism
Answers
The volume of the rectangular prism is 138.48 cubic centimeters. It is calculated by multiplying the base area of 36 cm² with the height of 3 and 5/6 cm.
To find the volume of the rectangular prism, you need to multiply the area of the base by the height. The formula for the volume of a rectangular prism is:
Volume = Base Area × Height
Given:
Base Area = 36 cm²
Height = 3 and 5/6 cm
First, let's convert the height to an improper fraction:
3 and 5/6 = (6 × 3 + 5) / 6 = 23/6 cm
Now, plug in the values into the formula:
Volume = 36 cm² × 23/6 cm
To multiply, you can first simplify the fraction:
Volume = 36 cm² × 3.83 cm
Finally, calculate the volume:
Volume = 138.48 cm³
The volume of the rectangular prism is 138.48 cubic centimeters.
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A turtle is 6 feet below the surface of the sea. If his position can be recorded as −6 feet, what would the position of 0 represent?
Answers
Thus, 0 would be known as sea level
Answer:
the sea level
Step-by-step explanation:
i can draw a picture
0-----------------------------------------------------------------------------------------------sea lvl
-1-----------------------------------------------------------------------------------------------1ft below
-2----------------------------------------------------------------------------------------2ft below
-3----------------------------------------------------------------------------3ft below
-4-------------------------------------------------------------------4ft below
-5-------------------------------------------------------------------------------5ft below
-6---------------------------------------------o-m----------------------------------6 ft below
^
thats a turtle