Answer:
[tex](x+4)^2+(y+6)^2=100[/tex]
Step-by-step explanation:
Given a circle centred at the point P(-4,-6) and passing through the point
R(2,2).
To find its equation, we follow these steps.
Step 1: Determine its radius, r using the distance formula
For point P(-4,-6) and R(2,2)
[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Radius=}\sqrt{(2-(-4))^2+(2-(-6))^2} \\=\sqrt{(2+4))^2+(2+6)^2}\\=\sqrt{6^2+8^2}\\=\sqrt{100}\\Radius=10[/tex]
Step 2: Determine the equation
The general form of the equation of a circle passing through point (h,k) with a radius of r is given as: [tex](x-h)^2+(y-k)^2=r^2[/tex]
Centre,(h,k)=P(-4,-6)
r=10
Therefore, the equation of the circle is:
[tex](x-(-4))^2+(y-(-6))^2=10^2\\\\(x+4)^2+(y+6)^2=100[/tex]
Solve the solution. -9x+1=x+17
Answer:
-2
Step-by-step explanation:
-9x+1 = -x+17
1-17 = -x+9x
-16 = 8x
-16/8 = x
-2 = x
Answer:
B x = - 2
Step-by-step explanation:
-9x + 1 = -x + 17
-9x + x = 17 - 1
- 8x = 16
- x = 2 | ·(-)
x = - 2
Find the circumference of a circle in terms of n if the radius of the circle is equal to 6 inches.
a.
6 7 in.
b.
12 7 in.
C. 36 in.2
36 it in.
O
d.
e.
12 in.2
A Moving to another question will save this response.
Answer:
37.6991 or C
Step-by-step explanation:
Radius = 6
diameter = 12
A line passes through the point (-4, 7) and has a slope of -4.
Write an equation in slope-intercept form for this line.
Answer:
y= -4x-9
Step-by-step explanation:
We just need to find the y-intercept, b. Recall that y-intercept form is y=mx+b. Plug in what we have. y=-4, m=-4, x=-4. 7=-4(-4)+b. 7=16+b -9=b now rewrite the equation with b now. y=-4x-9
Answer:
y = - 4x - 9
Step-by-step explanation:
Line is passing through the point [tex] (-4,\: 7)= (x_1, \: y_1) [/tex] and has slope m = - 4.
Equation of line in slope point form is given as:
[tex](y-y_1) = m (x-x_1) \\
\therefore (y-7) = - 4\{x-(-4)\}\\
\therefore y - 7 = - 4(x + 4)\\
\therefore y = - 4x - 16+7\\
\huge \red {\boxed {\therefore y = - 4x - 9}} \\[/tex]
This is the equation of line in slope-intercept form.
The radius of a circle is 5 miles. What is the area?
Give the exact answer in simplest form.
square miles
Submit
Answer:
78.5, or 25 pi
Step-by-step explanation:
25(3.14)
HELP PLS I WILL MARK BRAINLIEST !!! HELP!!!
Answer:
C
Step-by-step explanation:
You basically multiply the 2 functions together which gives you (2x + 3)(x + 1) = 2x² + 5x + 3
Answer:
The answer is C.
Step-by-step explanation:
Given that f(x) = 2x + 3 and g(x) = x + 1. So you have to multiply both functions together :
[tex]f(x) = 2x + 3 \\ g(x) = x + 1[/tex]
[tex]f(x) \times g(x)[/tex]
[tex] = (2x + 3)(x + 1)[/tex]
[tex] = 2x(x) + 2x(1) + 3(x) + 3(1)[/tex]
[tex] = 2 {x}^{2} + 2x + 3x + 3[/tex]
[tex] = 2 {x}^{2} + 5x + 3[/tex]
Which is the best estimate for (2.8 times 10 Superscript 3 Baseline) (4.1 times 10 Superscript 6 Baseline) written in scientific notation? 7 times 10 Superscript 9 1.2 times 10 Superscript 10 1.5 times 10 Superscript 10 12 times 10 Superscript 18? I NEED IT ASAP!!!
Answer:
B
Step-by-step explanation:
Answer:
its b :D
Step-by-step explanation:
wiil mark bianleast plz plz hlpe
Triangles GHI and JKL are similar.
What is the length of ?
12 ft
18 ft
21 ft
27 ft
Answer:
18 since 12 x 2 = 24 so 9 x 2 = 18
Step-by-step explanation:
Answer:
18 ft
Step-by-step explanation:
12 * 2 = 24
SO
9 * 2 = 18
What percent of 75 is 18.75
Answer:
25%
Step-by-step explanation:
Let p be the percent
Of means multiply and is means equals
p * 75 = 18.75
Divide each side by 75
75p/75 = 18.75 /75
p =.25
Change to percent form
p = 25%
Answer:
[tex]25\%[/tex]
Step-by-step explanation:
Let the percent as x
[tex]x \times 75 = 18.75 \\ 75x = 18.75 \\ \frac{75x}{75} = \frac{18.75}{75} \\ x = 0.25 \\ \\ \\ 0.25 = \frac{25}{100} = 25\%[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The diameter of a circle is 6 cm. Find its area to the nearest tenth.
Answer: 28.27 cm
Step-by-step explanation: A circle of radius = 3 or diameter = 6 or circumference = 18.85 centimeters has an area of 28.27 square centimeters.
Answer:
[tex]= 28.26 {cm}^{2} \\ \\ [/tex]
Step-by-step explanation:
[tex]d = 2r \\ 6 = 2r \\ \frac{6}{2} = \frac{2r}{2} \\ r = 3 \\ \\ \\ area = \pi {r}^{2} \\ = \pi \times 3 \times 3 \\ = 28.26 {cm}^{2} \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which letter has rotational symmetry?
O
C
K
T
Answer:
O & T have rotational symmetry
Kate is going to the fair with three of her friends. It will cost $5.00 to get in and an additional $2 per ride. Create an equation to represent the cost for the whole group and then use the distributive property to expand the expression and solve the problem.
The cost for the whole group using distributive property to expand the expression and solve the problem is $28
How to write and solve equation?Cost of getting in per person = $5Cost per ride per person = $2Number of people including Kate = 4Total cost of the group = Number of people including Kate(Cost of getting in per person) + (Number of people including Kate(Cost per ride per person)
= 4(5) + 4(2)
= 20 + 8
= $28
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Find the area of the semicircle. Round your answer to the nearest hundredth.
3 ft
ft2
Answer:
The answer is 3.53
Step-by-step explanation:
The formula for a semicircle is pi x r2 divided by 2, so divide the diameter by 2, then plug that in as the radius into the formula.
If c = d and b ≠ 0, then c∕b = d∕b represents the property of equality. Question 4 options: A) division B) multiplication C) addition D) subtraction
Answer:
Property of equality division
Step-by-step explanation:
Given
c = d
b ≠ 0 then c∕b = d∕b
Required
State the property used
From list of options a through d, only option A best fits the description.
This is so because property of equality division is such that
given two variables c and d where c = d
[tex]\frac{c}{b} = \frac{d}{b}[/tex]
Provided that b ≠ 0
Take for instance;
b = 2; c = 8 and d = 8;
This implies that
[tex]c = d[/tex]
[tex]8 = 8[/tex]
Divide both sides by 2 (assumed value of b)
[tex]\frac{8}{2} = \frac{8}{2}[/tex]
[tex]4 = 4[/tex]
which letter best shows the location of 9/7?
A: A
B: B
C: C
D: D
i’ll give brainliest and 10 points answer fasttttt
Answer:C
Step-by-step explanation:
guys please help me with this question before it gets deleted by 30 year olds .
Answer:
i don't know okkkkkk
Step-by-step explanation:
Hector took out a small loan of
$900 for 18 months. The simple
interest rate on the loan was
10.5%. How much will he pay in
interest on the loan?
Which statement is correct for the point A(x,y)
Step-by-step explanation:
Near (-4.4,0)
.....
.....
Answer:
-4.4 , 0 = x , y
Step-by-step explanation:
The answer is of where the coordinates are.
As you didn't say the statements in your question.
We realize x is 4.4 times the size of y as y is '0' so this means the negative value for x is 4.4 smaller than y.
For the word problem below, write the steps to solve the problem
3) The base of a pyramid-shaped fish tank is a square. The side length of the square
is 24 feet. The height is 9 feet. Find the amount of water needed to fill the tank.
Volume =
Write the formula
Substitute the numbers you know
Solve the math (remember order of operations)
Answer:
Volume= base*height*length; Volume= 24*9*24; Volume= 5,184 square feet
Step-by-step explanation:
The lenghth of the square is 24 feet which makes the base 24 since it is a square. So, you just have to multiply 24*24*9 to get the total volume.
You deposit $2000 in a savings account at Hometown Bank, which has a rate of 6%.
Find the amount, A, of money in the account after 3 years subject to interest
compounded once a year.
b) Find the interest.
Answer:
Amount 2382.03
Interest = 382.03
Step-by-step explanation:
A = P (1+r/n)^nt
If a linear function y = 2x + 3 moves down 4 units, and then moves right 4 units to changes into a new function y = ax + b, find a and b
Answer:
a= 2 b=-9
Step-by-step explanation:
Please refer to the picture attached.
You can clarify the answer by substituting random points like (0,0) and transformed point
E. G. (0, - 4) in step 1 and (4,0) in step 2 into the original equation and transformed equation for checking.
Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. She knows that the total cost to download 3 videos was $12. Her work to find the equation is shown below. Joylin’s Work Step 1 k = StartFraction 3 over 12 EndFraction = 0.25 Step 2 y = 0.25 x Where did Joylin make her first error Joylin divided 3 and 12 instead of multiplying the two numbers. Joylin computed the decimal equivalent of StartFraction 3 over 12 EndFraction incorrectly. Joylin used 0.25 as the coefficient of x instead of a product of x and y. Joylin switched the numerator and the denominator when she found k.
Answer:
45/84
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
Lobachevsky's Negation created spherical geometry.
O A. True
O B. False
Answer:
True
Step-by-step explanation:
Lobachevsky's Negation created spherical geometry.
● A. True
O B. False
URGENT help me please
Answer:
i have the same thing that im confused on
Step-by-step explanation:
confused help-
ILL GIVE A BRAINLIEST !!!
The foci and the vertices of the hyperbola are labeled.
Which equation represents the hyperbola shown in the graph?
Answer:
The top one, that is the hyperbole.
The equation of hyperbola is [tex]\frac{(y-5)^{2} }{9 } -\frac{(x-3)^{2} }{16 } = 1[/tex]
What is a hyperbola?A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.
What is standard hyperbola equations?• If the foci lie on the x-axis, the standard form of a hyperbola can be given as,
[tex]\frac{(x-h)^{2} }{a^{2} } - \frac{(y-k)^{2} }{b^{2} } = 1[/tex]
• If the foci lie on the y-axis, the standard form of the hyperbola is given as,
[tex]\frac{(y-k)^{2} }{a^{2} } -\frac{(x-h)^{2} }{b^{2} } = 1[/tex]
• Coordinates of the center: (h, k).
• Coordinates of vertices: (h+a, k) and (h - a,k)
• Co-vertices correspond to b, the ” minor semi-axis length”, and coordinates of co-vertices: (h,k+b) and (h,k-b).
• Foci have coordinates (h+c,k) and (h-c,k). The value of c is given as, c2 = a2 + b2.
• Slopes of asymptotes: y = ±(b/a)x.
According to the question
Foci = (3,7) (3,-3)
Vertices = (3,5) (3,-1)
As per coordinates and graph the hyperbola is vertical so x will be constant y varies
Distance between foci = 2c (where c is center)
10 = 2c
C = 5
Therefore Centre (h,k) = (3,5)
Distance between vertices = 2a
2a= 6
a = 3
The value of c is
[tex]c^{2} = a^{2} + b^{2}[/tex]
25 = 9 + [tex]b^{2}[/tex]
[tex]b^{2}[/tex] = 16
Now as per our equation
h=3 , k=5 , [tex]a^{2}[/tex] = 9, [tex]b^{2}[/tex] = 16
[tex]\frac{(y-k)^{2} }{a^{2} } -\frac{(x-h)^{2} }{b^{2} } = 1[/tex]
[tex]\frac{(y-5)^{2} }{9 } -\frac{(x-3)^{2} }{16 } = 1[/tex]
Hence, equation of hyperbola = [tex]\frac{(y-5)^{2} }{9 } -\frac{(x-3)^{2} }{16 } = 1[/tex]
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A plane takes off from New York with 72 of the 90 seats occupied. what percentage of the seats are not occupied?
Answer:
1/5 = 20% not occupied.
Step-by-step explanation:
There are 72 occupied seats out of 90 total seats. We can say that there are 18 empty seats (90 - 72 = 18).
So there are 18 out of 90 seats occupied. We can rewrite that as 18/90. 18/90 simplifies to 9/45 = 3/15 = 1/5 = 20%.
As such, 20% of the seats are not occupied.
Determine whether the two functions are inverses.
f(x) = 5x+4 and g(x)=x-4/5
The two functions are inverses.
The two functions are not inverses.
Answer:
The two functions are inverses.
Step-by-step explanation:
We are supposed to find whether the two functions are inverses.
[tex]f(x)=5x+4[/tex]
[tex]g(x)=\frac{x-4}{5}[/tex]
To find the inverse of f(x)
y = 5x+4
y-4=5x
[tex]\frac{y-4}{5}=x[/tex]
Replace x with y and y with x
So, [tex]\frac{x-4}{5}=y[/tex]
So, [tex]\frac{x-4}{5}=g(x)[/tex]
So,The two functions are inverses.
What is the equation of the line passing through the points (-2, 3) and (1,4)?
A. y=1/3x+13/3
B. y=1/3x+11/3
C. y=1/3x+4
D. y= 3x + 1
Answer:
B
Step-by-step explanation:
U find the gradient of the line by subtracting the y intercepts and the x intercepts
4-3/1--2=1/3
Y-3/x--2=1/3
3(y-3)=x+2
3y-9=x+2
3y=x+2+9
3y=x+11
Y=x/3 + 11/3
5^7/5^3 in factored form
Answer:
work is shown and pictured
What is the value of the missing side x?
Answer: [tex]3*\sqrt{3}[/tex] = x
Step-by-step explanation:
With our knowledge of a 30 60 triangle we can determine the value a from dividing 6 by 2. Look at my diagram for clarification. From now know the value of a as 3 we can make x = [tex]3*\sqrt{3}[/tex] .
g(x) = x + 7 and h(x) = x 2+ 1
g[h(x)] =
A. x^2+8
B. x^2+14x
C. x^2+50
Answer:
The answer is B. x^2+14x
Answer:
x^2+8
Step-by-step explanation: