Use the graph to answer the question.
On a coordinate plane, a circle has center (4, negative 1) and radius of 5.
Which equation describes the circle?
(x – 4)2 + (y + 1)2 = 25
(x – 4)2 + (y + 1)2 = 5
(x + 4)2 + (y – 1)2 = 25
(x + 4)2 + (y – 1)2 = 5
Answer: A
Answers
Related Questions
Winston drove 70 mph. If he drives for 3.5 hours how many miles will Winston drive?
I need the answer ASAP
Answers
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.
To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.
We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5 x)?
Answers
Answer:
x=2
Step-by-step explanation:
You can simplify the equation with all the x's on one side and the numerical values on the other. After solving, the answer would be x=2
Answer:
x=2
Step-by-step explanation:
Distribute the 2.5 and 4 out
15x - 10 = 10 + 6 +2x
Add the constant variables together
15x - 10 = 16 +2x
Move the x on one side and the constant on the other
13x = 26
Divide both sides to find x
x=2
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answers
9^2-4^2•radical 2^2
What is the resulting product of 4 × 8 and description of the product?
Answers
Answer:
32
Step-by-step explanation:
The answer is 32 because 8 x 3 is 24 so then just add 8
Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2100. What was the rate charged per hour by each mechanic if the sum of 2 rates was $190 per hour?
Answers
Answer: 115/hr & $75/hr
Step-by-step explanation: please see attached PDF document for detailed instructions including step by step.
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE HELP AND EXPLAIN!
The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices
(A) Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft
(B) Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft
(C) Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft
(D) Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft
Answers
Answer:
(D) Dimensions: width = 12ft & length = 20ft / Perimeter: 64ftStep-by-step explanation:
Let the length be x and width be y.
We have:
x = y + 8Area = 240 ft²Set equation and solve
xy = 240y(y + 8) = 240y² + 8y = 240y² + 8y + 16 = 256(y + 4)² = 16²y + 4 = 16y = 12 ftThe length is:
x = 12 + 8 = 20 ftThe perimeter is:
P = 2(x + y) = 2(20 + 12) = 2(32) = 64 ftCorrect choice is D
Let they be l and b
l=b+8l-b=8--(1)And
lb=240So
(l+b)^2=(l-b)^2+4b=(8)^2+4(240)=64+960=1024l+b=32--(2)From both equations
2l=40l=20And.
b=20-8=12ft
Option D
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS THANKS
Answers
Answer:
1/6
Step-by-step explanation:
Hope it helps you in your learning process
Answer:
the second one
Step-by-step explanation:
1/6
brainliest pls
A map has a scale of 1 cm to 4km.
The road from Carton to Ambridge measures 5.8cm on the map.
How far is it from Carton to Ambridge in Kilometers?
Answers
The mass of the sun is 2 × 1030 kg, and the distance between neptune and the sun is 30 au. what is the orbital period of neptune in earth years? 30 earth years 164 earth years 3.8 × 1011 earth years 2.3 × 1017 earth years
Answers
The Neptune's time period of orbit is 164.3 earth years.
We have given that the mass of the sun is 2 × 1030 kg.
The distance between neptune and the sun is 30 au
What is the mathematical expression of Kepler's law ?
[tex]T^2 = 4\pi ^2a^3/GM[/tex]
Where T is in earth years, a is astronomical units and
M = solar masses.
4π²/GM = 1,
Therefore we get
[tex]T^2 = a^3[/tex]
[tex]T = \sqrt(a^3)[/tex]
[tex]T = \sqrt(30^3)[/tex]
[tex]T = 164.3[/tex]
Therefore, the Neptune's time period of orbit is 164.3 earth years.
To learn more about the time period visit:
https://brainly.com/question/329317
Answer:
b. 164 earth years
Step-by-step explanation:
just took the quiz 2022
Share OMR 120 in the ratio 1.5 : 0.5
Answers
Answer:
90:30 is the answer
only if we use over 2
Please help me with question 1.
Answers
Answer:
C =66
Step-by-step explanation:
m114° + mmm
Answer : 66°
32° x x
Please help
Answers
180°-32°=2x (angles in a triangle always sum up to 180)
2x= 148°
x= 74° (they are (at least) 2 angles that are even in an isosceles triangle)
hi, i am struggling to find this algebra 2 answer can anyone help? i am desperate and ill give you whatever u want
Answers
and x=4, x=-5,x=2
URGENT HELP PLEASE!
find the surface area and volume of the following possible cereal boxes determine the cost of making the box assuming the cardboard costs 5 cents per square inch
box 1 rectangle: 12 inch in height 7.5 inches wide 2 inches thick
Box 2 picture attached please give accurate answer thanks!
Answers
Answer:
One square inch is equal to . So, your box have square inches and it costs or $36 to manufacture it.
Step-by-step explanation:
I'm as stuck as stepsis in the dryer.
Answers
The area equation for the given rhombus is:
A = (x^2 + 2x - 8) m^2
So the correct option is the second one.
How to get the area of the rhombus?
For a rhombus of diagonals d₁ and d₂, the area is given by:
A = (d₁*d₂)/2
In this case, we have:
d₁ = (2x + 8)m
d₂ = (x - 2)m
Then the area equation is:
A = (1/2)*(2x + 8)*(x - 2) m^2
A = (x + 4)*(x - 2) m^2
A = (x^2 - 2x + 4x - 8) m^2
A = (x^2 + 2x - 8) m^2
So the correct option is the second one.
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
WILL GIVE BRAINLIEST The points Q(0,1), R(-9,-5), s(-7, -8), and T(2,-2) form rectangle QRST. Plot the points then click the "Graph Quadrilateral" button. Then find the area of the rectangle.
Answers
well, we know its a rectangle, so hmmm opposite sides are not just parallel but equal, hmmm so the area of this rectangle we can get by Length * Width, in this case that'll be QT * TS
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad T(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QT=\sqrt{[2 - 0]^2 + [-2 - 1]^2}\implies QT=\sqrt{2^2 + (-3)^2}\implies QT=\sqrt{13} \\\\[-0.35em] ~\dotfill[/tex]
[tex]T(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad S(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-8})~\hfill TS=\sqrt{[-7 - 2]^2 + [-8 - (-2)]^2} \\\\\\ TS=\sqrt{(-9)^2 + (-8+2)^2}\implies TS=\sqrt{117} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{\sqrt{13}\cdot \sqrt{117}\implies \sqrt{1521}\implies 39}[/tex]
In pensacola in june, high tide was at noon. the water level at high tide was 12 feet and 2 feet at low tide. assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve, find an equation for water level in june for pensacola as a function of time (t). f(t) = 12 cospi over 2t 5 f(t) = 5 cospi over 2t 12 f(t) = 5 cospi over 6t 7 f(t) = 7 cospi over 6t 12
Answers
An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.
Which equation of cos show period amplitude ?
The equation given below show aplitude and period
[tex]y = A cos bx + c[/tex]
where A = amplitude,
b = 2 pi/Period,
Period = 12 hrs,
c = midline,
x = t and y = f(t)
We have to find the amplitude
What is the formula for the amplitude?
[tex]A = 1/2 (Xmax - Xmin)[/tex]
[tex]12 - 2 / 2 = 10/2 = 5[/tex]
[tex]b = 2 pi / 12 = pi/6[/tex]
[tex]c = 1/2 (Xmax + Xmin)[/tex]
[tex]12+2/2 = 7[/tex]
Therefore, the an equation for water level in june for pensacola as a function of time (t)
[tex]f(t) = 5 cos pi/6 t + 7[/tex]
To learn more about the function of time visit:
https://brainly.com/question/24872445
2. A traffic study was conducted on a busy street. In 15-minute intervals from 6:30 a.m. to 8:00
a.m., the number of vehicles that passed a certain point in one minute was recorded in the table
below. Write an equation for the curve of best fit, then approximate the number of cars that passed
the point at 9:15 a.m.
Answers
The line of best fit of the traffic study is a line through a scatterplot of data points which shows the relationship between the points.
How to illustrate the equation?Your information is incomplete as the table isn't given. Therefore, an overview will be given.
The least square methods is used by statisticians to arrive at the geometric equation for the line. A straight line will simply result from a simple regression of two or more independent variables.
A regression that has to do with multiple related variables lead to a curved line. The line of best fit is an important output of regression analysis.
A regression that has two independent variables will have a formula with:
y = c + b1x1 + b2x2
where,
c = constant
b1 = first regression coefficient
x1 = first independent variable
b2 = second regression coefficient
x2 = second independent variable.
In conclusion, the line of best fit expresses the relationship in a scatterplot of the data points.
Learn more about line of best fit on:
https://brainly.com/question/21241382
math please help !!!
Answers
Answer:
a = -2
Step-by-step explanation:
Ok, so for parallel lines you need to make slopes for both the lines equal. So for line y = x + 4 the slope is 1. (slope is the coefficent infront of the x value while in y=mx+b form. To make the other line have a slope of 1 a needs to be a number as so that 2a+5 = 1
2a+5 = 1
2a = 1 - 5
a = -4/2
a = -2
If 15% of sum is Rs 45, find the sum.
Answers
answer : the sum so obtained is rupees 300
PLEASE FULL EXPLANATION!!!
Angle Terminology with Equations
Delta Math:
Answers
Answer:
m∠A = 19°
vertical angles are of same measure.
⇒ so given m∠A = m∠B
Find x
3(x) + 13 = 5(x) + 93(x) - 5(x) = 9 - 13-2(x) = -4x = 2Then find m∠A
3(x) + 13°3(2) + 13°6° + 13°19°Answer:
19°That's your answer
Step-by-step explanation:
So In this problem We are told both angles are vertical. That is enough information. When 2 Angles are vertical they measure the same. Vertical angles have SAME measure.
Now we are given 2 angles.
Angle A and Angle B
Angle A= (3x+13) degrees
Angle B=(5x+9) degrees
Knowing that and that they measure the same just put them equal to each other……
3x+13=5x+9
Given the equation just solve…..
Lets subtract 9 from 13
Then Subtract 3x
Then Divide by 4
3x+13=5x+9
3x+4=5x
4=2x
x=4/2 =2
x= 2
We now Know X is equal to ½ but we still need to figure out the measure of angle A
Angle A= 3x+13
So just plug in
3(2) +13= 19° :)
SonicIsCoool on you tube scratch and much more....
if you need any help i'm at your service.... :)
PLEASE SOLVE THIS I DONT HAVE MUCH TIME I WILL GIVE BRAINLYZ
A rectangle has a length of 10 cm and a width of 6 cm
How long is the diagonal of the rectangle?
Answers
Answer:
d = 2√34
Explanation:
d² = 10² + 6²d² = 100 + 36d² = 136d = √136d = 2√34Solve each system of equations below. Write your solution in the form (x,y). Check your solution.
a) 3x - y = 14
x = 2y + 8
Answers
x = 2y+8
Step-by-step explanation:
3x-y = 14
3(2y+8)-y = 14
6y+24-y = 14
5y = 14-24
y = -10/5
y = -2
now,
x = 2y +8
x = 2(-2)+8
x = 4
Therefore, the value of x is 4 and y is -2.
What is the domain and range?
Answers
Answer: domain: [-6,6] range: [-4,3]
Step-by-step explanation: domain is the smallest to biggest x value range is the smallest to biggest y value
A rectangle has a width of 8 inches. The perimeter of the rectangle is 40inches. What is the length of the rectangle, in inches?
Show the formula please and work plus answer thank you
Answers
Answer:
12
Step-by-step explanation:
You want to add 8+8 and you get 16. Subtract 16 from 40 and you get 24 (This is both lengths). Divide 24 by two to get 12 (One length Vaule).
The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance. 0.625 seconds 0.8 seconds 1.25 seconds 1.6 seconds
Answers
The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
What is time period of pendulum?Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.
The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.
The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,
[tex]d = 11 \cos\left( \dfrac{8\pi}{5}t\right)[/tex]
At the maximum position, the time period is zero. Thus,
[tex]\dfrac{8\pi}{5}t=0\\t=0[/tex]
At the minimum position, the period equal to the π. Thus,
[tex]\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625[/tex]
This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,
[tex]t=0.625+0.625\\t=1.25\rm\; s[/tex]
Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Learn more about the time period of pendulum here;
https://brainly.com/question/3551146
Answer:
C:1.25
Step-by-step explanation:
what is the equation of the straight line that passes through the point (2,-4) with the slope -2?
Answers
Answer:
y = - 2x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 2 . then
y = - 2x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = - 4 + c (add 4 to both sides )
0 = c
y = - 2x + 0 , that is
y = - 2x ← equation of line
find the equation of a line passing through (3,2) and (5,6)
Answers
Answer:
y=1/-2x+2.5
Step-by-step explanation:
Y=Mx+c
Mx(slope)=y2-y1/x2-x1= 6-2/-5-3 =4/-8= 1/-2
C(y-intercept)= replace one of of the points here to find C
2=1/-2(3)+c, c= 2.5
Final answer > y=1/-2x+2.5
A
Complete the transformation on the rectangle
ABCD shown and choose the resulting vector
Use [ABCD]
Answers
Answer:
(3 -1 -1 3
4 4 1 1)
reflection across the y-axis
Step-by-step explanation:
Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?
Answers
Answer:
a 40 sheets/min
b 2400 sheets
c25mins
Step-by-step explanation:
a
120/3=40 sheets /min
b
40*60=2400
c
1000/40=25
Answer:
1) 40 sheets/minute 2) 2400 3) 25 minutes
Step-by-step explanation:
