Which equation represents circle C?
Answer:
The equation of the circle is
(x + 4)^2 + (y-1)^2 = 162
Step-by-step explanation:
Here, we want to give the correct equation of the circle.
The center of the circle is (-4,1)
Now the other parameter we need to show the equation of the circle is the radius of the circle and this can be obtained from the distance between the circle center and a point on the circumference.
We use the distance formula to calculate this.
So the distance we want to calculate is the distance between;
(-4,1) and (5,-8)
using the distance formula, we have
d = √(x2-x1)^2 + (y2-y1)^2
Substituting these values, we have;
d = √(5 + 4)^2 + (-8-1)^2
d = √(9^2 + 9^2)
d = √(162)
d = 9 √2 units
The formula for the equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
where (h,k) are coordinates of the center which is (-4,1) in this question
The way of the circle is thus,
(x-(-4)^2 + (y-1)^2 = {9√(2)}^2
(x + 4)^2 + (y-1)^2 = 162
Ms. Lawrence baked exactly 1 inch diameter cookies as shown below, how
much space left on cookie tray, if the tray's dimensions are 7 inches by 3
inches?
Answer:
Exactly 26 cookies fit and there would be 0.75 of cookie space left over.
Step-by-step explanation:
In this case, we must calculate the area of a cookie and the total area of the cookie tray,
give us the diameter of the cookie, we need the radius, we know that the radius is half the diameter, so:
r = d / 2 = 1/2
the area would be:
A = pi * r ^ 2
replacing:
A = 3.14 * (1/2) ^ 2
A = 0.785
The area for each cookie is 0.785 in ^ 2
Now the area of the cookie tray would be:
A = 7 * 3
A = 21 in ^ 2
Therefore a total of:
21 / 0.785 = 26.75
Which means that exactly 26 cookies fit and there would be 0.75 of cookie space left over.
Simplify this equation. 4m(2mn - 8m) +3n (5n-6mn)Please help me and show working as well
Answer:8m^2n - 32m^2 + 15n^2 - 18mn^2
Step-by-step explanation:
4m x 2mn = 8m^2n
4m x -8m = -32m^2
3n x 5n = 15n^2
3n x -6mn = -18 mn^2
when you add them all together,
8m^2n - 32m^2 + 15n^2 - 18mn^2
Find the perimeter of a rectangle whose length is (4a+b)cm and width (a+6)cm
Answer:
P = 10a +2b+12
Step-by-step explanation:
P = 2 (l+w) for a rectangle
P = 2 ( 4a+b + a+6)
Combine like terms
P = 2(5a+b+6)
Distribute
P = 10a +2b+12
Answer:
Given below
Hope it helps
Step-by-step explanation:
Perimeter= 2(l+b)
= 2(4a+b+a+6)
= 2(5a+b+6)
= 10a+2b+12 cm^2
Hhh I’m very bad at math
Answer:
See below;
Step-by-step explanation:
21 . Consider an exponential function;
[tex]Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by[/tex]
Solution; Provided Directly Above
Karen is making a set of costumes for the school play using a piece of cloth. She reduces the length of the cloth she intends to use by 10%. If the initial length of the cloth that she wanted to use was 15 meters, what is the new length of the cloth she wants to use?
Answer:
The new length is 13.5 meters
Step-by-step explanation:
Here, we are interested in calculating the new length of the cloth she wants to use
What we know from the question is that she is making a reduction of 10% from an initial of 15 meters
Thus, the length she is to use can be calculated by first getting what 10% of 15 meters is
Mathematically, that would be ;
10/100 * 15 = 1.5 meters
We now subtract this from the total of 15 meters
= 15 meters - 1.5 meters = 13.5 meters
What value of n makes the statement true?
6x^n• 4x^2=24x^6
n =
Answer:
n =4
Step-by-step explanation:
6x^n• 4x^2=24x^6
Combine like terms
24 x^n *x^2 = 24 x^6
We know that a^b * a^c = a^(b+c)
24 x^(n +2) = 24 x^6
Divide each side by 24
x^(n +2) = x^6
The bases are the same so the exponents are the same
n+2 = 6
Subtract 2
n+2-2 = 6-2
n=4
Answer:
4
Step-by-step explanation:
just did it
Find an equation for the hyperbola with center at origin (0,0), vertex (-6, 0) and focus
at (-10, 0)
Florence Tyler invests $5000 in a 1-year CD that earns interest at an annual rate of 4% compounded monthly. The amount per $1.00 is 1.040742. What is the interest earned?
Answer:
$203.71
Step-by-step explanation:
Given;
Principal = $5,000
The amount per $1.00 is given as 1.040742
The total amount earned is equal to the product of the principal and the amount per dollar.
A = Principal × amount per dollar
Substituting the values;
A = $5000 × 1.040742
A = $5203.71
Interest earned = Total amount earned - principal
Interest earned = $5203.71 - $5000
Interest earned = $203.71
A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as many pairs of blue pleated slacks as gray pleated slacks, and it sold twice as many pairs of gray non-pleated slacks as blue non-pleated slacks. If it sold 333 pairs of blue slacks and 225 pairs of gray slacks, how many pairs of blue non-pleated slacks did it sell?
Answer:
138 pairs
Step-by-step explanation:
The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:
[tex]blue\ pleated = 5 * gray\ pleated[/tex] (eq1)
The number of gray non-pleated is twice the number of blue non-pleated slacks, so:
[tex]blue\ nonpleated = 2 * gray\ nonpleated[/tex] (eq2)
The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:
[tex]blue\ pleated + blue\ nonpleated = 333[/tex] (eq3)
[tex]gray\ pleated + gray\ nonpleated = 225[/tex] (eq4)
If we add (eq1) and (eq2), we have:
[tex]blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated[/tex] (eq5)
Using (eq3) and (eq4) in (eq5), we have:
[tex]333 = 2*225 + 3*gray\ pleated[/tex]
[tex]gray\ pleated = 117/3 = 39[/tex]
From (eq1), we have:
[tex]blue\ pleated = 5*39 = 195[/tex]
From (eq3), we have:
[tex]blue\ nonpleated = 333 - 195 = 138[/tex]
Answer:
88
Step-by-step explanation:
a cuboid has length 4.2 m breadth 1.4 m and height 1.2 m . find the number of cubes each of lengh 20cm ,which canbe cut from the cuboid.
l= 4.2 m = 4.2 * 100 = 420 cm
b = 1.4 m = 1.4*100 = 140 cm
h =1.2 m =1.2 *100 =120 cm
Volume of cuboid = l*b*h = 420 * 140 * 120 = 705600 cubic cm
Volume of cube = a*a*a = 20*20*20 = 8000 cubic cm
No.of cubes = Volume of cuboid / volume of cube
= 705600 / 8000 = 882 cubes
or 420*140*120 / 20*20*20 = 42*14*12/2*2*2 = 21*7*6 = 882 cubes
What is the equation in slope-intercept form of the line?
Answer:
y = 1x - 500
Step-by-step explanation:
b is were the line crosses the y axis so its -500
and to find slope you do -200-(-400) over 300-100 and it equals 1
hope this helps:)
A family pays $8.00 to park at a concert. Tickets for the concert cost $13.50 per person. The family spent a total of $89.00 for parking fees and tickets to the concert. The situation can be modeled by the equation 89 = 13.5n + 8, where n represents the number of tickets purchased. How many concert tickets did the family purchase? Tickets=
Answer:
n=6
Step-by-step explanation:
13.5n + 8 = 89
13.5n = 89 - 8
13.5n = 81
13.5n/13.5 = 81/13.5
n = 6
I hope this helps
Answer:
n=6
Step-by-step explanation:
i did it on edg 2020
PLEASE HELP!! if f(x)= 2x^2-11, find f(4)
Answer: f(4) = 21
Step-by-step explanation:
2(4)^2-11
4^2 = 16
2(16)-11
Multiply 2 and 16
32 - 11
Subtract
21
Answer:
21
Step-by-step explanation:
f(x)= 2x^2-11
Let x= 4
f(4)= 2*4^2-11
= 2 * 16 - 11
= 32 -11
21
how do you know if two line segments are perpendicular
A. Their slopes are equal
B. The slope of one is the negative of the slope of the other
C. Their slopes are negative reciprocals
D. Their slopes are reciprocals
Answer: C. Their slopes are negative reciprocals
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other.
16+12x-5x+4y-7 Simply the expression
Answer:
Combing like terms we get 7x + 4y + 9.
The graph shows the relationship between daily caffeine
consumption and resting heart rate for some adults.
Which phrases describe the relationship between heart
rate and daily intake of caffeine? Select two options.
Effects of Caffeine
negative correlation
180
increasing heart rate
constant correlation
Resting Heart Rate (bpm
positive correlation
decreasing heart rate
1 2 3 4 5 6 7 8 9 10
Total Coffee Intake (Cups)
Answer:
A and B. increasing heart rate and positive correlation
Step-by-step explanation:
The heart rate increases as they drink more cups of coffee and because the both sets of data are increasing in the same direction, it's positive correlation.
Hope my answer helps and isn't too short <3
Answer: B AND D
Step-by-step explanation:
Deanna used 2.5 deciliters of milk in a recipe. How many milliliters of milk did Deanna use?
Number of Deciliters
x or ÷
Milliliters is 1 Deciliter
=
Number of Milliliters
=
Answer:
Milliliters is 1 Deciliter
Step-by-step explanation:
the point slope form of the equation of the line that passes through (-9,-2) and (1,3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line
Answer:
y= 1/2x + 2.5
Step-by-step explanation:
We already have the point-slope form of the line.
Convert into Slope Intercept form:
y-3=1/2(x-1)
[tex]y-3=\frac{1}{2}x -0.5\leftarrow \text {Distribute}\\y-3+3=\frac{1}{2}x-0.5+3\leftarrow \text {Subtraction Property of Equality} \\\boxed{y=\frac{1}{2}x+2.5} \text { OR } \boxed{y=\frac{1}{2}x+\frac{5}{2}}[/tex]
Pleease helpthis is my final exam
I want the answer of second question
Answer:
7
Step-by-step explanation:
as it does that F thing where its equal to it....
Answer:
I wont answer for you, but ill guide you in the right direction
Step-by-step explanation:
Find the midpoint between the two points of the line in the image below.
Answer:
the answer is ( 2 , 1 ) I hope thus helps
Answer:
(2,1)
Step-by-step explanation:
Average the x values and the y values out
Can someone please explain what I did wrong here? Thank you!
Answer:
you didn't do anything wrong who ever said you did is stupid
The answer is attached.
i’ve been stuck on this one
[tex]the \: right \: answer \: is \: of \: option \: a \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Anyone know the answer
Answer:
3
Step-by-step explanation:
72/9 = 8 ( The quotient of 72 and 9)
8-5 = 3 (Decrease by 5)
Dada la función cuadrática () = + + . Determinar: a. Si la gráfica se abre hacia arriba o hacia abajo b. Las coordenadas del vértice c. El punto de corte con el eje de las y d. Los puntos de corte con el eje de las x e. El eje de simetría
Please answer !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
f ⁻¹ (-2)=3
f ⁻¹ (1)= 0
Step-by-step explanation:
inverse functions are switching x and f(x) coordinates so f ⁻¹ (-2)=3 and f ⁻¹ (1)= 0
Put these in size order
5.6x10^-7
8.6x10^-9
5.6x10^-8
Answer:
Largest: [tex]5.6*10^{-7}[/tex]
Middle: [tex]5.6*10^{-8}[/tex]
Smallest: [tex]8.6*10^{-9}[/tex]
Step-by-step explanation:
Largest: [tex]5.6*10^{-7}[/tex] because -7 is the largest of the 3.
Middle: [tex]5.6*10^{-8}[/tex] because -8 is smaller than -7 but greater than -9
Smallest: [tex]8.6*10^{-9}[/tex] because -9 is the smallest of the 3
Please help! Correct answer only!
In a raffle, one ticket out of 200 will win a $980 prize, one ticket will win a $950 prize, one ticket will win a $270 prize, and one ticket will win a $260 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " - $ 12.30
Step-by-step explanation:
Consider the steps below;
[tex]Total Number of Tickets - 200 Tickets,\\Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 200\\\\Amount Won ( First ) = 980 Dollars,\\Amount Won ( Second ) = 950 Dollars,\\Amount Won ( Third ) = 270 Dollars,\\Amount Won ( Fourth ) = 260 Dollars\\\\Proportionality ( First ) - 1 / 200 = x / 980,\\Proportionality ( Second ) - 1 / 200 = x / 950,\\Proportionality ( Third ) - 1 / 200 = x / 270,\\Proportionality ( Fourth ) - 1 / 200 = x / 260,\\\\1 / 200 = x / 980,\\200 * x = 980,\\x = 4.90,\\\\[/tex]
[tex]1 / 200 = x / 950,\\200 * x = 950,\\x = 4.75,\\\\1 / 200 = x / 270,\\200 * x = 270,\\x = 1.35,\\\\1 / 200 = x / 260,\\200 * x = 260,\\x = 1.3[/tex]
[tex]Conclusion ; " Expected Payoff " = 4.90 + 4.75 + 1.35 + 1.3 = 12.30[/tex]
The slope of line p is _, and the slope of line Q is _.
Answer:
From the graph, the slope of line p is 3 and the slope of line q is -3.
Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. If she continues at this rate, where will Ariel be in relation to the rim after 15 minutes?
Answer:
This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.
Step-by-step explanation:
What we are asked here is imply to state how long in terms of distance would be Arielle position after 15 minutes
Now, 55 ft will take her 234 minutes
x ft will take her 15 minutes
x * 234 = 55 * 15
234x = 3825
x = 3825/234
x = 16.35 ft
This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.
After 15 minutes, Ariele would be 3.5 feet away from the rim.
What is speed?Speed is the ratio of distance travelled to total time taken. It is given by:
Speed = distance / time
Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. Hence;
Ariele speed = 55 feet / 234 minutes
In 15 minutes, the distance covered is:
Distance = (55 feet / 234 minutes) * 15 minutes = 3.5 feet
After 15 minutes, Ariele would be 3.5 feet away from the rim.
Find out more on speed at: https://brainly.com/question/4931057
