Answer:
(x+1)²+(y-5.5)²=45/4.
Step-by-step explanation:
1) the common form of the required equation is: (x-a)²+(y-b)²=r², where 'a' and 'b' are the coordinates of the centre of the given circle, r - radius of the given circle.
2) the midpoint of the diameter is the centre of the given circle, its coordinates are:
[tex]\frac{2-4}{2}=-1; \ and \ \frac{4+7}{2}=5.5.[/tex]
3) the length of the radius of the given circle is:
[tex]r=\frac{1}{2}*\sqrt{(2+4)^2+(4-7)^2)}=\sqrt{\frac{45}{4}}.[/tex]
4) according to the common form and calculated the centre O(-1;5.5) and the radius it is possible to make up the required equation of the circle:
[tex](x+1)^2+(y-5.5)^2=\frac{45}{4}.[/tex]
Answer:
The correct answer is (x+1)^2 + (y−11/2)^2 = 45/4
Step-by-step explanation:
This is how the system wants it put in. See question 12
12
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information,
Answer:
[tex]\dfrac{x}{2}=25.5[/tex]
Step-by-step explanation:
Let the number be x.
Peter halves the number and gets an answer of 25.5.
It means,
Half of x equals 25.5. So,
[tex]\dfrac{1}{2}x=25.5[/tex]
or
[tex]\dfrac{x}{2}=25.5[/tex]
Hence, the required equation is [tex]\dfrac{x}{2}=25.5[/tex].
Which ordered pairs make both inequalities true? Select two options. y < 5x + 2 y > One-halfx + 1 On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded. (–1, 3) (0, 2) (1, 2) (2, –1) (2, 2)
Answer:
(1, 2)
(2,2)
Step-by-step explanation:
The inequality Given :
y < 5x + 2
y ≥ One-halfx + 1
We can use the values in the options to see which satisfies the inequality :
(-1, 3) ; X = - 1, y = 3
3 < 5(-1) + 2 ; 3 < - 4 (not true)
(0, 2) ; X = 0 ; y = 2
2 < 5(0) + 2 ; 2 < 2 (nor true)
2 > 1/2(0) + 1
2 > 1 (true)
Using (1, 2).; x = 1 ; y = 2
2 < 5(1) + 2 ; 2 < 7 (true)
2 > 1/2(1) + 1 ; 2 > 1.5 (true)
Using (2, 2)
y < 5x + 2
2 < 10 + 2 ; 2 < 12 (true)
y > 1/2x + 1
2 > 1/2(2) + 1 ; 2
Pls help with step by step :)
Answer:
Step-by-step explanation:
Hope this helps u !!
if (P-3) is the largest of for odd number then the smallest is
A p-11
B p-9
C. p+3
D. p+5
ensalada no son vulgares
t has a value of 5/2. p is the sum of t and v, and p has a value of 0. What is the value of v?
Answer:
Step-by-step explanation:
If p = t + v and t is 5/2 and p is 0, then
0 = 5/2 + v and
v = -5/2
It is given the quadratic equation (q + 1 )x² - 8x + p = 0,where p and q are constants,has two equal real roots.Express p in terms of q.
Do help meeee!!!
i'll mark u as the brainliest!
Answer:
p = [tex]\frac{16}{q+1}[/tex]
Step-by-step explanation:
Since there are 2 equal roots then the value of the discriminant is zero, that is
b² - 4ac = 0
Given
(q + 1)x² - 8x + p = 0 ← in standard form
with a = q + 1, b = - 8, c = p , then
(- 8)² - 4p(q + 1) = 0
64 - 4p(q + 1) = 0 ( subtract 64 from both sides )
- 4p(q + 1) = - 64 ( divide both sides by - 4 )
p(q + 1) = 16 ( divide both sides by q + 1 )
p = [tex]\frac{16}{q+1}[/tex]
How do you write 6.6 x 10-5 in standard form?
Answer:
.000066
Step-by-step explanation:
move decimal places five places to the left
Victor also saw a jacket he liked while he was shopping. The jacket has a price tag of $75.00 and was marked for 30% off. How much money will the jacket cost after the sale?
Respuesta:
$ 52.5
Explicación paso a paso:
Dado
Costo de la chaqueta = $ 75
Mark off = 30%
Descuento = 30% de $ 75
Precio de descuento = 0,3 * 75
Precio de descuento = $ 22.5
Costo después de la venta = $ 75 - $ 22.5
Costo después de la venta = $ 52.5
Por lo tanto, el costo después de la venta es de $ 52.5
Nishi invests £4700 at 6% interest per year. Work out how much she will have altogether after: 2 years- £ 5 years- £ 7 years- £ 10 years- £
Answer:
Step-by-step explanation:
To calculate the compound interest we want to multiply the amount of money (£4700) by the interest (6%) which would be the percentage multiplier!
To get the new amount we do:
Original amount × (percentage multiplier)ⁿ
The amount of years would be the indices.
For the first year:
£4700x1.06= £4982.
But we want to find out how much she will have altogether in different years.
So for two years:
£4700x1.03²= £5280.90 (rounded)
As you can see the amount of years will be the indices with the interest as our multiplier.
We do this again for 5 years and 10 years:
£4700x1.06⁵= £6289.70 (rounded)
£4700x1.06¹⁰=£8416.20 (rounded)
Hope this helps!
What is the value of S4 for HURRY PLEASE !!!
Answer:
5 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]
where a is the first term and r the common ratio
The expression inside the summation is
4 [tex](\frac{1}{4}) ^{n-1}[/tex] ← the nth term of a geometric sequence
with a = 4 and r = [tex]\frac{1}{4}[/tex] , then
[tex]S_{4}[/tex] = [tex]\frac{4(1-(\frac{1}{4}) ^{3}) }{1-\frac{1}{4} }[/tex]
= [tex]\frac{4(1-\frac{1}{64}) }{\frac{3}{4} }[/tex]
= [tex]\frac{16}{3}[/tex] ( [tex]\frac{63}{64}[/tex] )
= [tex]\frac{21}{4}[/tex]
= 5 [tex]\frac{1}{4}[/tex]
Quadrilateral qrst is a square what is pst
if QRST is indeed a quadrilateral, then, Check the picture below.
In the matrix below, what is the value of f32?
2
21
9
1
0
5
T-
16
8
4
0
32
7
Answer:
ans: 8
Step-by-step explanation:
t3×2 mean see the term in 3rd row and second column,
The value of the f 32 in the given matrix is 8.
What is matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
For example, is a matrix with two rows and three columns.
Given is a matrix of order 3x4, we need to find the object in f 32,
So, f 32
This means the entry in Row 3 Column 2
From the matrix we can see that f 32 = 8
Hence, the value of the f 32 in the given matrix is 8.
Learn more about matrix, click;
https://brainly.com/question/28180105
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The graph shows the function f(x) = 2*.
What is the value of x when f(x) = 8?
a ) 0
b) 3
c) 1
d) 2
Answer:
3
Step-by-step explanation:
you can see this on the graph; just find 8 on the y axis and look for the value of x that corresponds to it
What method would I use? I am confused on how to solve it. [tex]9k^2+3=-20[/tex]
Using the equality of surds theorem, solve this question
In the question solve for a and b
Step-by-step explanation:
76.72135955 is the answer I think So if the answer is correct then plz mark me as brainliest
Kendra bought a gallon of milk and StartFraction 5 over 6 EndFraction of a pound of oranges. If the gallon of milk cost $3.60 and she spent a total of $4.35, which equation can be used to determine x, the cost of a pound of oranges?
3.60 + StartFraction 5 over 6 EndFraction x = 4.35
4.35 + StartFraction 5 over 6 EndFraction x = 3.60
3.60 x + StartFraction 5 over 6 EndFraction = 4.35
4.35 x + StartFraction 5 over 6 EndFraction = 3.60
Answer:
A. 3.60+5/6x=4.35
Step-by-step explanation:
Total cost = milk + price per pound of oranges* number of pounds
We know the total cost = 4.35 and the cost of the milk = 3.60 and the number of pounds of oranges = 5/6
4.35 = 3.6 +5/6 * x
Answer:
a
Step-by-step explanation:
if point (4,5) is on the graph of a function, which equation must be true?
Please help...redoing past papers so I need to cross-check with someone to see if they are correct
Answer:
4 < k < 12
Step-by-step explanation:
The given function is y = 2·x² + k·x + 2·k - 6
Where the curve lies above the x-axis for all values of x, the function does not have a root and the discriminant, Δ, is negative, to give complex roots
∴ The discriminant Δ = k² - 4·2·(2·k - 6) < 0
k² - 4·2·(2·k - 6) = k² - 16·k + 48 < 0
(k - 12)·(k - 4) < 0
∴ k < 12 or k > 4 given that by substitution, we have;
When k = 3 < 4
k² - 16·k + 48 = 3² - 16×3 + 48 = 9 > 0
Also the product of two negative numbers is larger than 0
Therefore, the set of values of k for which the curve lies above the x-axis for all values of x is 4 < k < 12
What is the solution to the system of equations?
One-fourth x minus one-half y = 8
One-half x + three-fourths y = negative 5
(–8, –12)
(–8, 12)
(8, 12)
(8, –12)
Answer:
(8 - 12 )
Step-by-step explanation:
Given
[tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] y = 8
[tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{4}[/tex] y = - 5
Multiply both equations through by 4 to clear the fractions
x - 2y = 32 → (1)
2x + 3y = - 20 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the x- term
- 2x + 4y = - 64 → (3)
Add (2) and (3) term by term to eliminate x
0 + 7y = - 84
7y = - 84 ( divide both sides by 7 )
y = - 12
Substitute y = - 12 into either of the 2 equations and solve for x
Substituting into (1)
x - 2(- 12) = 32
x + 24 = 32 ( subtract 24 from both sides )
x = 8
solution is (8, - 12 )
Answer:D:(8,-12)
Step-by-step explanation:took a test:D
Question 1 of 5
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?
Answer:
It is A because it is pretty similar to the data set in the given dot plot.
This is for Algebra 2 please someone help T^T
Answer:
-(a)^2 + a - 11
Step-by-step explanation:
N - T = -3(a)^2 + 2a - 5 - (-2(a)^2 + a + 6)
= -3(a)^2 + 2a - 5 +2(a)^2 - a - 6
= -3(a)^2 + 2(a)^2 + 2a - a - 6 -5
= -(a)^2 + a - 11
I honestly am so confused right now , pleas help
Answer:
never really liked accounting, but...
The Assets seem to total $33000
and the Liabilities also seem to add to $33000
that seems to be what is supposed to happen in an accounting problem
Step-by-step explanation:
HELP PLEASEEEEE!!!!!!
If that answer doesn't work, then try 29 without the percent sign.
============================================================
Explanation:
We know with absolute certainty that the person ordered a hot drink, due to the "given".
This means we only focus on the values in the first row.
There are 5+48+22 = 75 hot drinks ordered. Of that total, 22 hot drinks are large.
The probability of getting a large drink, given it was a hot beverage, is 22/75 = 0.2933 approximately.
This converts to 29.33% and that rounds to 29%
On Monday the temperature was 12°C. On Tuesday it decreased by 12°C. Which expression can be used to represent this situation?
Please help me. I am so confused right now and I need to turn this in asap.
Answer:
sorry only doing the ones im sure of
a)
FBC is half the circle, so the angle would = 180.
180 - 135 = 45, so thats the angle between BC
its a vertical angle, so it would be the same on the other side, between FE
the only angle left is betweeen DC, so add them all up and minus by 360
360 - 306 = 54
b)
a triangle's angles add up to 180, so
49 + 70 = 119
180 - 119 = 61
since this is an inscribed angle that isnt connected to the center, the arc will be double the angle
so ? = 122
d)
5(8) = 40
40/4 = 10
x = 10
f)
the rest of the circle is 243 bc 360-117=243
243 - 177 = 126
126/2 = 63
find the area of a circle . diameter =30cm . suction
Area of Circle = pi * r* r
Diameter = 2* r
Radius = 30/2 = 15 cm
pi = 3.14
Area of circle = 3.14 * 15 *15 = 707.14 cm ^2
Find the mean, median and mode(s) of the data.
4, 6, 5, 4, 4, 5, 4,8
Mean
Median
Mode
Answer:
mean = 5
median = 4.5
mode = 4
Step-by-step explanation:
Mean :
n = 8
sum of all items = 4+6+5+4+4+5+4+8
= 10+9+9+12
= 19+ 21
= 40
so,
mean = sum of all items/ n
= 40/8
= 5
mean = 5
Median:
ascending order: 4,4,4,4,5,5,6,8
n = 8
md = (n+1)/2 the term
= (8+1)/2 th term
= 9/2 th term
= 4.5 th term
= (4th + 5th) / 2
= (4+5)/2
= 9/2
= 4.5
median = 4.5
x. f.
4. 4
5. 2
6. 1
8. 1
here the highest frequency is 4 and 4 is corresponding to 4
so, mode = 4
Pls Solve
2/5 × (-3/7) - 1/6 × 3/2 +1/14 × 2/5
Answer:
-11/28
Step-by-step explanation:
Following BODMAS:
(2/5 * -3/7) - (1/6 * 3/2) + (1/14 * 2/5)
= (-6/35) - (1/4) + (1/35)
= 1/35 - 6/35 - 1/4
= -5/35 -1/4
= -55/140
= -11/28
she does 3 sets of 8 pushups 7 days a week, how many pushups does she do in one week
Answer:
24 push ups3 x 8 = 24ksjsjsowjsnsoajjsodhew
The circumference of a circle is 19π in. What is the area, in square inches? Express your answer in terms of π.
Answer:
A = 90.25 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
19pi = 2*pi*r
Divide each side by 2 pi
19pi / 2 pi = 2*pi*r/ 2pi
9.5 = r
The area is given by
A = pi r^2
A = pi ( 9.5)^2
A = 90.25 pi in^2
Answer:
The area of circle is 90.25 π inches².
Step-by-step explanation:
Given :-
Circumference of circle is 19 π in.
To Find :-
Area of circle
Solution :-
Firstly, we need to find radius of circle
Using formula
Circumference of circle = 2 π r
substitute the value
19 π inches = 2 π r
Divide each side by 2 π
19 π inches / 2 π = 2 π r / 2 π
9.5 inches = r
Now, Finding the area of circle
Using formula
Area of circle = π × r²
Where,
r, radius of circle = 9.5 inchesSubstitute the values
Area of circle = π × ( 9.5 inches)²
Evaluate the exponent
Area of circle = π × 90.25 inches ²
multiply ,we get
Area of circle = 90.25 inches²
Hence, the area of circle is 90.25 π inches².