Answer:
Yes, it lies on the circle.
Step-by-step explanation:
The actual question is:
"Prove or disprove that the point (√51, 7) lies on the circle centered at the origin and containing the point (6, 8)."
The equation of a circle of radius R and centered at the point (a, b) is:
(x - a)^2 + (y - b)^2 = R^2
In this case we have a circle centered at the origin, then: (a, b) = (0, 0)
And the equation becomes:
(x - 0)^2 + (y - 0)^2 = R^2
x^2 + y^2 = R^2
We also know that this circle contains the point (6, 8), then we can find the radius of our circle if we replace x by 6 and y by 8.
6^2 + 8^2 = R^2
100 = R^2
√100 = 10 = R
Then the circle equation is:
x^2 + y^2 = 10^2
Now let's see if the point (√51, 7) is a solution of the above equation:
(√51)^2 + ( 7)^2 = 10^2 = 100
51 + 49 = 100
100 = 100
This is true, so we can conclude that (√51, 7) is a solution of the circle equation, so the point lies on the defined circle.
How do I solve this arithmetic sequence?
Answer:
7 times 50=350
Step-by-step explanation:
Answer:
a₅₀ = 252
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
a₅₀ = 7 + (49 × 5) = 7 + 245 = 252
Mr. Mims had 50 bags of chips. He gave away 37 bags. What percent of the bags did he give away?
Answer:
74%
Step-by-step explanation:
How I did it is divided 37 and 50 (37/50 = 0.74)
I need an answer! NO LINKS PLS! il give brainlist
Answer:
15 oz.
Step-by-step explanation:
It says that the average box contains 15 oz. So, if you have 50, it still would be about 15 as the average.
4 times the sum of x and 30
Think Start with the sum of x and 30. Then find 4 times the sum
The sum of x and 30
4 times the sum
x(x + 30)
Find the distance between the two points in simplest radical form . (4, 6) and (- 2, 9) pls the answer no links!!
Answer:
2,4
Step-by-step explanation:
answer CORRECTLY for brainleist if u put a link i will report u ! thx have a bleesed night all ;)
Answer:
132 cm squared
Step-by-step explanation:
for the two triangles 8 times 3 divided by 2 is 12 times 2 for two triangles equals 24
the two side rectangles easy just do 5 times 6 and it equals 30 times two because there is 2 and you get 60
the bottom rectangle do the same thing except 6 times 8 and there is only one so 48
add all areas together to get 132
X
у
-10
-25
-5
5
10
15
20
-20
-15
О-5
Answer:
c
Step-by-step explanation:
From the definition of a function, an x-value cannot have more than 1 corresponding y-value. Since x = -5 has already been used, it cannot be used again with a different value for y.
Sammie is buying an airline ticket. The ticket costs $125. She earns $12 an hour and has already saved $40. Write an inequality to find out how many hours (h) Sammie needs to work in order to buy her ticket. Do not solve.
Answer:
125=12x+40
Step-by-step explanation:
Let the number of hours be x
And the total amount be =$125
We already have $40
Hence the expression is
125=12x+40
If we solve for x, the answer gotten is the number of hours
In circle R with m angle QRS= 90 and QR= 3 units find the length of arc QS round to the nearest hundredth
Answer:
4.71 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the above question,
r = QR = 3 units
θ = angle QRS= 90 = 90°
The length of the arc is calculated as:
2 × π × 3 × 90/360
= 4.7123889804 units
Approximately to the nearest hundredth = 4.71 units
Dylan and his friend Lamar volunteered to bring sandwiches for lunch at a homeless shelter. They bought 8 loaves of bread. Each loaf had 16 slices of bread. The boys used up all the bread to make the sandwiches. They used 2 slices to make each sandwich. How many sandwiches did they make for the shelter?
Thanks For answering!
Answer:
64 slices
Step-by-step explanation:
The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.
16⋅8=128 slices of bread in total
Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.
128÷2=64.
Two angles of a quadrilateral are 40 degree and 60 degree and the ratio of remaining two angles is 7:6. The degree measure of remaining two angles is?
Answer:
140,120
Step-by-step explanation:
sum of angles in a quadrilateral =360
sum of the 1st two angles=60+40=100
360-100=260
the ratio of the remaining angles 7:6
therefore:
[tex] \frac{7}{13} \times 260[/tex]
=140
for the second angle
260-140=120
please help what is the answer?
Answer:
D. 120
Step-by-step explanation:
Lucy is going to invest in an account paying an interest rate of 7% compounded daily. How much would Lucy need to invest, to the nearest dollar, for the value of the account to reach $84,000 in 6 years?
Answer:
Lucy needs to invest $55,194.16
Step-by-step explanation:
Calcula y comprueba las ecuaciones: porfavor alguienn la nesesito pliss a) 2X = 6 b) 10 + Z = 20 c) P + 9 = 11 d) 3X + 8 = + 29 e) 2U + 8 = 10
Answer:
a) x = 3
b) z = 10
c) p = 2
d) x = 7
e) u = 1
Step-by-step explanation:
a) 2x = 6
Despejamos x dividiendo por 2 a amabos lados de la eacuacion.
(2/2)x = 6/2
x = 3
Si remplazamos x en la ecuación original:
2(3)=6
6 = 6
Queda demostrado.
b) 10 + z = 20
Despejamos z restando 10 en amabos lados de la eacuacion.
10-10+z = 20-10
z = 10
Si remplazamos z en la ecuación original:
10 + 10=20
20 = 20
Queda demostrado.
c) p + 9 = 11
Despejamos p restando 9 en amabos lados de la eacuacion.
p + 9 - 9 = 11-9
p = 2
Si remplazamos p en la ecuación original:
2 + 9 = 11
11 = 11
Queda demostrado.
d) 3x + 8 = 29
Despejamos x restando 8 en amabos lados de la eacuacion y luego divideindo por 3 en ambos lados de la ecuación.
3x+8-8 = 29-8
3x = 21
(3/3)x = 21/3
x = 7
Si remplazamos x en la ecuación original:
3(7) + 8 = 29
21 + 8 = 29
29 = 29
Queda demostrado
e) 2u + 8 = 10
Despejamos u restando 8 en amabos lados de la eacuacion y luego divideindo por 2 en ambos lados de la ecuación.
2u+8-8 = 10-8
2x = 2
(2/2)x = 2/2
x = 1
Si remplazamos x en la ecuación original:
2(1) + 8 = 10
2 + 8 = 10
10 = 10
Queda demostrado
Espero te haya sido de ayuda!
find the area in square inches of the following compsite figure
Grace has 27 coins (a combination of dimes, d, and quarters, q). She has $4.50 total. How many coins of each type does she have?
Answer:
15 dimes, 12 quarters
Step-by-step explanation:
d + q = 27
.10d + .25q = 4.5
solve by substituting '27-q' for 'd'
.10(27-q) + .25q = 4.5
2.7 - .1q + .25q = 4.5
.15q = 1.8
q = 1.8/.15
q = 12
d = 27-12 which is 15
which if the following is the x-corrdinate of the solution to the system shown below?
x+y=11
x-y=7
(A) x=9
(B) x=2
(C) x= 18
(D) x=14
Answer:
x = 9
hope it helps
I'm soo sad :(
In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?
Answer:
34 °
Step-by-step explanation:
∠D = 71°
∠G = 37°
In ΔGEF
Using angle sum property of triangle : Sum of all angles of triangle is 180°
∠G+∠E+∠F = 180°
Since ΔGEF is right angled triangle at F so, ∠F = 90°
Now, 37°+∠E+90° = 180°
127°+∠E= 180°
∠E= 180°-127° =53°
Now ∠E+∠D = 53°+71° = 124°
Now using exterior angle property in ΔABC
An exterior angle of a triangle is equal to the sum of the opposite interior angles
∠E+∠D is the exterior angle of ΔABC
So, ∠A+∠B = ∠E+∠D
since ΔABC is right angled triangle at B so, ∠B = 90°
∠A+90° = 124°
∠A = 124°-90°
∠A = 34°
Hence the measurement of angle A is 34 °
Assuming the following is a triangle, A = 72°
All interior angles of a triangle added together will always equal 180°, so [tex]180 - 71 - 37 = 72[/tex]
Solving Similar Triangles. pls help i dunno this:(
1.y=16 x=8 ||| Because the 12 and 9 are the same side, i just decided to go from there, 9 is 75% of 12, so y and x would be
2.d=24 ||| the smaller triangle once again is 75% of the bigger one.
3.x=6 y=60 ||| the smaller triangle is 1/3 of the bigger one.
4. DE=8 AC=20 ||| The smaller triangle is half of the bigger one.
1. 6 is 75% of 8 and 12 is 75% of 16.
2. 18 is 75% of 24
3. 18/3=6 and 6 is 1/3 of 18; 20 is 1/3 of 60
4. 10 is 1/2 of 20; 1/2 of 16 is 8
Hope this helps.
The probability of randomly selecting a white flower from a garden that has green, pink, yellow, and white flowers is 3%.
Which of the following describes the likelihood of selecting a white flower?
A. likely
B. unlikely
C. neither unlikely nor likely
Plz helppp
Which of the following describe 9.629? Select all that apply.
whole number
real number
rational number
irrational number
Answer:
Real number
Rational number
Step-by-step explanation:
Kelly is 9 years old .In two years Kelly will be 1/3 of his mothers age now .What is his mother age
Answer: 31
Step-by-step explanation:
9 + 2 = 11. 11 is how old Kelly is in 2 years.
1/3 of 33 is 11. Kelly's mother is 33 in two years, meaning two years ago, Kelly's Mother is 31.
Here is the full equation. K = Kelly. M = Kellys Mom
9k = m
2k + 9k = m + 2m
11k = m + 2
11k = [tex]\frac{m}{3}[/tex]
M + 2 = 33
-2 -2
m = 31
Nora needs 5 and 1/2 cups of flour for a cookie recipe she is making for a large party. So far she has scooped 1 1/2 cups and 1 3/4 cups of flour into her bowl. How many more cups of flour does she need?
please i need this asap, look at the graph to the right. What is the equation for the line (in y=mx+b form)?
Answer:
The Answer is: y = - 2x + 8.
the y-intersept is 8, and the slope is -2x
A museum charges a yearly membership fee plus an additional price per visit. Brian visited the museum eight times and paid a total of $175. Samantha visited the museum 13 times and paid a total of $235. What is the annual membership fee and the price per visit? Be sure to define your variables and solve algebraically.
Answer:
x = annual membership fee = $79
y = price per visit = $12
Step-by-step explanation:
Let
x = annual membership fee
y = price per visit
Brian:
x + 8y = 175
Samantha:
x + 13y = 235
x + 8y = 175 (1)
x + 13y = 235 (2)
Subtract (1) from (2) to eliminate x
13y - 8y = 235 - 175
5y = 60
y = 60/5
y = 12
Substitute y = 12 into (1)
x + 8y = 175 (1)
x + 8(12) = 175
x + 96 = 175
x = 175 - 96
x = 79
x = annual membership fee = $79
y = price per visit = $12
please answer correctly
a2b3 =
(ab)5
(ab)6
aabbb
aa + bbb
Answer:
aabbb
Step-by-step explanation:
because a x 2 aa b x 3 bbb so aabbb
Answer:
C. aabbbStep-by-step explanation:
a²b³ = a·a·b·b·bCorrect choice is C
A quantity with an initial value of 390 the keys continuously at a rate of 5% per decade what is the value of the quantity after 51 years to the nearest hundred
Answer:
4695.90
Step-by-step explanation:
The exponential growth function is given as:
y = a(1 + r)^t
a = Initial value = 390
y = Value after time t = ?
r = Growth rate = 5% = 0.05
t = Time in years =51
Hence
y = 390(1 + 0.05)⁵¹
y = 4695.9002123
Approximately = 4695.90
a person invested $7400 in an account growing at a rate allowing the money to double every 13 years. how much money would be in the account after 11 years, to the nearest dollar?
Answer:
$13,304
-We use the compound interest function to determine the rate of growth.
-Given that the amount doubles in 13 years, the annual growth rate is calculated as:
We now substitute this value of i in the compound interest formula equation to solve for future value:
Hence, the future value to the nearest dollar is $13,304
*You can alternatively use the exponential growth function:
This is slightly off by just $1
Step-by-step explanation:
simplifying expressions
this is a whole page of questions and i dont remember how to do them pls help if you know any of them
1. 12m + 24m
2. 90a - 30a
3. 14b + 15b + 8
4. 58d + 25 - 22d
5. 3(14 + 15f) + 79
6. 20(18 + 5t) - 47 + 28t
Step-by-step explanation:
These problems are about like terms. Those are terms that are alike (same variables) but the coefficients (numbers in front) can be different.
1. 12m + 24m = 36m
2. 90a - 30a = 60a
Example: 6k + 8k + 10 = 14k + 10 (the part of the expression that's just a number does not combine with the parts that have variables).
3. 29b + 8
4. 36d + 25 (the terms with d in them combine--they don't have to be back-to-back)
5. This is about the Distributive Property; first multiply 14 + 15f both by 3, then look for opportunities to combine like terms.
3(14 + 15f) + 79 = 42 + 45f + 79 = 121 + 45f
6. 20(18 + 5t) - 47 + 28t = 360 + 100t - 47 + 28t
= 313 + 128t
Beth is making fruit saladShe adds 5 grapes for every 2 strawberries she uses 12 strawberries, how many grapes will use? please get back to me !
Answer:
she uses 12×5=60 grapes
Answer:
30
Step-by-step explanation:
5 grapes : 2 strawberries
5 : 2
x : 12
x = (5 × 12) ÷ 2
x = 30