Answer:
n = 0 or 10
Step-by-step explanation:
From the question,
Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1
Coordinate of the circle = (6,n)
From the question
x = 6, y = n
Substitute the value of x and y into equation 1
(6-1)²+(n-5)² = 50
5²+(n-5)² = 50
25+(n-5)² = 50
(n-5)² = 50-25
(n-5)² = 25.
Solving for n
n-5 = √(25
n-5 = ±5
Either,
n-5 = -5
n = -5+5
n = 0
or
n-5 = +5
n = 5+5
n = 10
Answer:
n = 3.16
Step-by-step explanation:
Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.
Substitute x = 6 and y = n into the equation
(6 - 1)² + (n - 5)² = 50, that is, expanding using FOIL
5² + n² - 10n + 25= 50 by simplifying
25 + n² - 10n = 50 ( subtracting 50 from both sides and rearrange )
n² - 10n = 0 ← in standard form
n²=10
n = √10
The values of n is 3.16
Sabi has $2.50 more than Toni. Together they have $17.50. How much does Toni have?
Answer:
6.25
Step-by-step explanation:
17.50/2=8.75
8.75+2.50=11.25
17.50-11.25=6.25
Answer:
Toni has $7.50
Step-by-step explanation:
Tobi = x
Sabi = x + 2.5
x + x + 2.5 = 17.5
2x + 2.5 = 17.5
2x = 15
x = 7.5
Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
Given:
The equation of parallel line is:
[tex]3x-2y=5[/tex]
The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
To find:
The equation of required line.
Solution:
Midpoint of line segment joining the points (-4,2) and (2,4) is:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]
[tex]Midpoint=\left(-1,3\right)[/tex]
It means the required line passes through the point (-1,3).
The slope of line [tex]Ax+By=C[/tex] is:
[tex]m=\dfrac{-A}{B}[/tex]
The given equation is:
[tex]3x-2y=5[/tex]
Here, A=3 and B=-2. So, the slope of the line is:
[tex]m=\dfrac{-3}{-2}[/tex]
[tex]m=1.5[/tex]
Slope of parallel lines are same. So, the slope of the required line is 1.5.
The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=1.5(x-(-1))[/tex]
[tex]y-3=1.5(x+1)[/tex]
[tex]y-3=1.5x+1.5[/tex]
Adding 3 on both sides, we get
[tex]y=1.5x+1.5+3[/tex]
[tex]y=1.5x+4.5[/tex]
Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].
A simple impact crater on the moon has a diameter of 15 kilometers. A complex impact crater has
a radius of 30 kilometers. How much greater is the circumference of the complex impact crater than
the simple impact craters?
Answer:
141.3 km
Step-by-step explanation:
First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;
Second crater radius is C = 2(pi)(30 km) = 188.4 km
The circumference of the complex (larger) impact crater is
(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:
141.3 km
A fair dice is rolled . work out the probability of getting a factor of 8 Give your answer in it's simplest form
Answer:
[tex]Pr = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5,6\}[/tex] --- the faces of the dice
[tex]n(S) = 6[/tex]
Required
Pr(Multiple of 8)
The multiples of 8 in the given dataset are:
[tex]Multiples = \{1.,2,4\}[/tex]
[tex]n(Multiples) = 3[/tex]
So, we have:
[tex]Pr = \frac{n(Multiples)}{n(S)}[/tex]
[tex]Pr = \frac{3}{6}[/tex]
Simplify
[tex]Pr = \frac{1}{2}[/tex]
Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.
A graph titled Plant Growth has hours of darkness on the x-axis, and height of plant (inches) on the y-axis. Points are grouped closely together and decrease. Point (17, 12) is above the cluster.
Which statement about the scatterplot is true?
The point (17, 12) could cause the description of the data set to be overstated.
The point (17, 12) could cause the description of the data set to be understated.
The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant.
Although (17, 12) is an extreme value, it should be part of the description of the relationship bet
Answer:
B. The point (17, 12) could cause the description of the data set to be understated.
Step-by-step explanation:
All other points on the scatter plot except point (17, 12), all follow a similar trend showing the negative relation between height of plants and darkness. If we are to consider just point (17, 12) alone when describing the data set, we might likely understate the relation between both variables.
Therefore, the statement that is true about the scatter plot is "B. The point (17, 12) could cause the description of the data set to be understated."
Answer:
hello love! your answer is B :)
Step-by-step explanation:
i got a 100%
A movie theater sells small and large boxes of popcorn. A small box of popcorn costs $1.50. A large box of popcorn costs $4.00. A total of 25 boxes of popcorn were sold totaling $75.00.
Please help me I’m stuck!!!
Answer:
The point (0, 6.7) is the point where the ball was launched.
Step-by-step explanation:
The ball was launched from a point 6.7 feet from ground level.
In this scenario (ball tossed toward the goal), the constant c at the end of the function formula gives you the initial position (height).
i’m so bad at this someone please help me lol!
Answer:
It's B
Step-by-step explanation:
B makes the most sense to me
Please show full solutions! Will mark brainliest for the best answers! Thanks. Question is attached!
9514 1404 393
9514 1404 393
Answer:
a) P = -28(x -112)² +7500
b) $102.55 or $121.45
Step-by-step explanation:
a) A quadratic relation with a maximum of 7500 at x=112 can be written in vertex form as ...
P = a(x -112)² +7500
The other given point (x, P) = (89, -7312) can be used to find the value of 'a'.
-7312 = a(89 -112)² +7500
-14812 = a(529)
a = -14812/529 = -28
So, the desired quadratic relation is ...
P = -28(x -112)² +7500
__
b) The values of x that make P = 5000 can be found from ...
5000 = -28(x -112)² +7500
-2500 = -28(x -112)² . . . . . . . . subtract 7500
89.286 = (x -112)² . . . . . . . . . . . divide by -28
±9.45 = x -112 . . . . . . . . . . take the square root
x = 112 ± 9.45 = {102.55, 121.45}
Setting the price at about $102.55, or $121.45, will yield a profit of $5000.
the florida gators football team recorded the following yardage in seven plays, 9, -3, -5, 0, 12, 20, and -4, order these from greatest to least
HELP ME REALLY FAST
I WILL MARK BRAINLIEST
What is the area of the kite?
Answer:
1.125 ft²
Step-by-step explanation:
Take the height and the diagonals, multiply, and then divide by 2
Could you please help me with this!!
Answer:
35%
Step-by-step explanation:
7/20 = 35%
Answer:
Step-by-step explanation:
7 /20 = 0.35 = 35%
help please !! will give brainliest answer
a red blood cell is 7x10^-6m in diameter. there are about 2x10^-13 red blood cells in a 125-lb person. if all of the red blood cells were lined up end to end, how long would the line be? write your answer in scientific notation
Answer:
To determine this simply multiply the values together to determine the final distance.
Step-by-step explanation:
The product of red blood cell diameter for a single blood cell multiplied by the number of red blood cells that are found within a person would enable you to find the total distance the cells would be if it were to be lined end to end.
Answer:
Step-by-step explanation:
(7 × 10^-6)(2 × 10^-13): Original Equation
(7 × 2)(10^-6 × 10^-13): Commutative Property of Multiplication (Just switched the numbers)
(14 × 10^-19): Simplify (Since you are multiplying numbers with exponents, just add the exponents: -6 +(-13) = -19)
The given circle has radius r = 22. If \thetaθ = 141 degrees, what is the area of sector L?
Answer:
[tex]595.54[/tex]
Step-by-step explanation:
The formula for a sector of a circle with angle [tex]\theta[/tex] is [tex]\frac{\theta}{360}\cdot r^2\pi[/tex].
Substituting given values, we have:
[tex]\frac{141}{360}\cdot 22^2\pi\approx \boxed{595.54}[/tex]
what is the y intercept of this quadratic function
Answer:
the y-int is at the point (0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
f(x)=x²+2x+3
x=0
f(0)=0²+2×0+3
f(0)=3
y=3
(0,3)
Rewrite the equation in standard form.
x^2=−x−3
Standard form: ____ =0
Answer:
x^2+x+3=0
Step-by-step explanation:
x=-(1+√1-12)/2
Mrs. Murphy by balloons garlands paper lanterns and banners to decorate a school party she got three times as many bags of balloons as paper lanterns seven more garlands than paper lanterns and for banners she paid $5.25 for each banner $6.50 for each paper lantern five dollars for each bag of balloons and $3.50 for each garland how many of each kind of decoration did she purchase if she paid $145.50 please help
Answer:
Mrs. Murphy bought 4 packages of paper lanterns, 12 bags of balloons, 11
garlands and 4 banners
Step-by-step explanation:
I'm not really sure how I got this but it hope it helps!
Please help!!! I’ll give you the Brainly mark
Answer:
4
Step-by-step explanation:
just look at the graph and find where y is -5 the correlating point is 4
please help asap! thank you so much! Select the correct answer.
What is the complete factorization of x2 + 4x - 45?
OA. (x + 15)(x-3)
OB. (x-9)(x+5)
OC. (x + 9)(x-5)
OD.
(x- 15Xx+3)
the answer is C. (x+9)(x-5)
Answer:
The answer is C :)
Step-by-step explanation:
write in point-slope form (-4,-3) m=-1
Answer:
Point-slope form: y + 3= -1(x + 4)
Slope-intercept form: y = -1x - 7
y = m * x + b,
where:
m is the slope; and
b is the intercept of the y-axis.
Sarah owns a small business selling clothing. She knows that in the last week 11 customers paid cash, 4 customers used a debit card, and 70 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a percent to the nearest whole number.
Answer:
Step-by-step explanation:Here's li[tex]^{}[/tex]nk tly/3fcEdSxo the answer:
bit.[tex]^{}[/tex]
please HELPPPP me !!!!!
Answer:
[tex]y = 4x - 3\\Slope \ m_1 = 4[/tex]
EQUATION OF LINE PERPENDICULAR
[tex]Lines \ are \ perpendicular => m_1 \cdot m_2 = -1\\[/tex]
[tex]slope, m_2 = \frac{-1}{4}[/tex]
[tex]equation \ of \ the\ line \ passing \ through \ (-2, 2) \ slope ,m_2 :\\(y - y_2) =m_2(x - x_2)\\ (y - 2) = \frac{-1}{4} (x -(-2))\\\\y - 2 = \frac{-1}{4} (x +2)\\\\y = \frac{-1}{4}x - \frac{1}{2} + 2\\\\y = \frac{-1}{4}x + \frac{3}{2}[/tex]
EQUATION OF LINE PARALLEL
[tex]Lines \ are \ parallel => m_1 \cdot m_3 = 1\\slope, m_3 = \frac{1}{4}[/tex][tex]Equation \ of \ the \ line \ through \ (-2, 2) \ and \ slope, m_3:\\(y - y_3) =m_3(x - x_3)\\\\(y-2) = \frac{1}{4} (x - (-2))\\\\y-2 = \frac{1}{4}(x+2)\\\\y = \frac{1}{4}x + \frac{1}{2} +2\\\\y = \frac{1}{4}x + \frac{5}{2}[/tex]
Peter wants to purchase a car that costs $3,200. He signs an installment agreement
requiring a 25% down payment. He currently has $650 saved. Does he have enough for the Down payment
Answer:
the answer is No
Step-by-step explanation:
he needs $800 yet he only has $650, he will need $150 more
HELP I'LL GIVE EXTRA POINTS
Step-by-step explanation:
5x+5+79+11x=180°{sum of angle of triangle}
16x+84=180°
x=96/16
x=6
now angle A=5x+5
5×6+535°stay safe healthy and happy.Answer:
5x+5+11x=180-79
16x=101-5
16x=96
x=6
Measure of angle A=5x+5
=(5×6)+5
=35
Jennifer is a car saleswoman. She is paid a salary of $2200 per month plus $300 for each car that she sells. Write a linear function describing the relationship between the number of cars sold x and the monthly salary y?
Answer:
y = 300x + 2200
Step-by-step explanation:
y = 300x + 2200
Can anyone help with this question? X^2 + 3x-8
Answer:
I recommend trying this it explains it and gives you the answer
Maria found three pleces of wire in her tool drawer. Here are their lengths (In centimeters).
15.28, 19, 6.53
What is the total length of the three pieces?
Answer:
40.81 centimeters is the corrects answer. use addition to add them all together
Which expression is equivalent
Answer:
b
Step-by-step explanation:
because 1/2 (13f+5)=9f and
6.5f+5=11.5 so tha's not rightt
6.5f+2.5=9f right
36f=not right
9f=not right
\Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
y = 6 x + 18. y = 2 x minus 6.
y = 6 (x + 18). Y = 2 (x minus 6).
y = one-sixth x + 3. y = one-half x + 6.
y = one-sixth x + 3. y = one-half x + 3.
Answer:
last option: y = 1/6x+3; y = 1/2x+3
Step-by-step explanation:
6y = x + 18
Solve the above for 'y' to get:
y = 1/6x + 3
2y - x = 6
Solve the above for 'y' to get:
2y = x + 6
y = 1/2x + 3
11.1 m
3.5 m
4 m
4 m
4 m
Answer:
Surface area?
4 x 3.5 x 1/2 (basically just dividing by 2) = 7
11.1 x 4 x 1/2(basically just dividing by 2) = 22.2, 22.2 x 3(three triangles on the sides) = 66.6
Now let's add all the given areas:
7 + 66.6 = 73.6 m^2 is your answer.