Answer:
x² + y² - 8x -14y - 105 = 0
Step-by-step explanation:
The centre of the circle is (-7,0) and the radius is (4,7) . Firstly let's find the radius using Distance formula .
=> D = √{ (-7-4)²+(0-7)²}
=> D = √ 11² + 7²
=> D = √ 121 +49
=> D = √170
Now using the standard equation of circle ⭕ ,
=> ( x - h)²+(y-k)² = r²
=> ( x - 4)²+(y-7)²= (√170)²
=> x² + 16 -8x + y² + 49 -14y = 170
=> x² + y² -8x -14y = 170 -65
=> x² + y² - 8x -14y - 105 = 0
• Hence the equation of circle is x² + y² - 8x -14y - 105 = 0 .PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?
what is the volume of a sphere with a radius of 9.2cm, rounded to the nearest tenth of a cubic centimeter
Answer:
Step-by-step explanation:
Answer:1630.9 cm
v=4/3πr^3
radius =9.2
Plug in
4/3π(9.2)^3
3261.76066-
Volumenof hemisphere Half of volume of spehere
3261.76066698/2
=1630.9 cm^3
person 6-9 MathXL 8th grade question 2
Answer:
<1 = 112degrees
<2 = 33degrees
Step-by-step explanation:
From the figure, the sum of interior angles of the larger triangle is equal to the exterior, hence;
<1 + 15 = 127
<1 = 127 - 15
<1 = 112degrees
For the smaller triangle;
<1 = <2 + 79
112 = <2 + 79
<2 = 112-79
<2 = 33
Hence the measure of <2 is 33degrees
Find x ba=5x -11
Ad = 6x -18
Answer:
x=7
Step-by-step explanation:
since its a square, all sides are the same so 5x-11 = 6x-18 and then solve it :)
Explain which properties you would use to fully expand (the problem in the screenshot)
Answer:
Firs property used : Quotient Property
[tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]
Second property used : Product Property
[tex]log_b(XY) = log_bX + log_b Y[/tex]
[tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]
Third property used : Power Property
[tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]
[tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]
Fully expanded form:
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]
hey whats the answer to this ? will mark brainliest if correct
Answer:
C. 128°Step-by-step explanation:
Here,
<BAC + <BAE = 180° [Since supplementary angles]
=> 52° + <BAE = 180°
=> <BAE = 180° -52°
=> <BAE = 128° (Ans)
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...
Answer:
5100
Step-by-step explanation:
the geometric sequence is
f(n) = 20(2)^(n-1)
add up the first 8 to get
2 x [(27–3) - (3+4)] = n
what’s (n)
Answer:
n = 34
Step-by-step explanation:
2{(24- ( 3 + 4)) =n
2{(24 - 7) =n
2 x 17 = n
34 = n
swap the sides
n = 34
please help me!!!!lol
Answer:
a = 0, b = 7
a = 1, b = 6
a = 2, b = 5
a = 3, b = 4
a = 4, b = 3
a = 5, b = 2
a = 6, b = 1
a = 7, b = 0
Step-by-step explanation:
the sum of a and b must equal 7 because 4 x 7 = 28
Select all the expressions that are equivalent to 4 (3x+6y
A. 12x+6y
B. 12x+24y
C. 2 (6x+12y)
D. 4 (12x+24y)
Answer:
the answers are b and c
Step-by-step explanation:
b
[tex]12x + 24y = \\ 4(3x + y)[/tex]
c
[tex]2(6x + 12y) = \\ 12x + 24y = \\ 4(3x + 6y)[/tex]
Write the following series in sigma notation.
5+13+21+29+37+45+53
Answer:
203
Step-by-step explanation:
Answer:
∑ᵢ⁷₌ ₁(7+8i)
Explanation:
In order to write a series in sigma notation you must:
Identify the index of summation and first value. In the equation, the index of summation would be i and the first value is assumed to be 1 due to the pattern that can be traced back. Identify the last value of n, which would be 7 in the series. This value is placed as a superscript next to or above the capital Greek letter ∑.Identify the formula for the terms. In thes case, the formula for the terms is (7+8i) because there are seven terms in the sequence that are increasing by 8. The variable i comes after because that is the letter used in the index of summation.hello please help i’ll give brainliest
Answer:
Sea Travels
Step-by-step explanation:
Hope this helps
Answer:
Crossing a land bridge.
Step-by-step explanation:
We that what I think they would do.
1. Find the surface area of the Rectangular Prism. 12 cm 28 cm 22 cm
Answer:
The awnser is 2432
Step-by-step explanation:
12x28x22= 2432
call me an i.d.i.o.t all you want but can someone help me understand this please
NO LINKS OR PDF FILES THAT DONT WORK
So supplementary angles are ones that add up to 180degrees and complementary ones add up to 90degrees.
So for the left side, you find what angle is supplementary to the given one. For the angle of 35, another angle of 145 will add up to 180.
The right side want you to find the complementary angles, so for the angle of 18, another angle of 72 will add up to 90.
I always forget supplementary vs complementary, but a little bit of practice will help a lot.
x years after the year 2015 the population of the city of Fulton is given by the function of F(x)=35000(1.03)^x and the population of the city of breenville is given by the function g(x)=80000(0.95)^x ?
Answer:(2) (3) (4)
Step-by-step explanation:
1. Express 36 minutes as a fraction of an hour: 36 minutes hour
Answer:
0.600
Step-by-step explanation:
36minutes/60 minutes
Find the value of x pls I’ll give brainleist.
Answer:
x=15°
Step-by-step explanation:
We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.
(7x-10)+(6x-5)=180
7x-10+6x-5=180
13x-15=180
13x=195
x=15
con ayuda de tu familia formula un
ejercicio de combinación simple puedes
utilizar tu computador a escribirlo en
tu cuaderno.
ayuda es para hoy doy coronita
https://youtu.be/GZcm4mswivc
espero que te ayude
Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds
Answer:
jdkkdksmsmsmsksksksksksmaMmamMamnz
Step-by-step explanation:
nnznznznznxnxnxnsnskakakakakakzznnznanananaan
What color laundry basket do dirty towels and aprons go in?
A. Green
B. Yellow
Answer:
green because it sounds like garbage
Step-by-step explanation:
Answer:
the one u want to put em in?
Step-by-step explanation:
Find the values of x and y.
Answer:
y=60°
x=12°
Step-by-step explanation:
because the propertiy of parallelogram is the opposite side have equal measurement.
that is why y=60°
x+3=15 the paralla side are equal
x=15°-3°
x=12°
proof》》》》x+3=
12°+3°=15°
15°=15°
Let's assume a typical New Zealand farmer raising sheep owns 250 hectares and averages about 10 livestock units per hectare. If each ewe earns the farmer $20/year, how much money does that farmer earn in one year?
Answer:
$50,000
Step-by-step explanation:
We have an average of 10 livestock units per hectare
The number of units in 250 hectares will be;
250 * 10 = 2,500 units
Amount earned per unit is $20 per year
So, for 2,500 units, we have
2500 * $20 = $50,000
1) Solve for Side A.
2) Solve for Angle B.
Best answer will receive Brainliest.
solution given;
let
AB=a
AC=b=30ft
AB=c=20ft
<A=115°
By using Cosine rule.
a²=b²+c²-2bc cos angle
a²=30²+20²-2*30*20 Cos 115°
a²=1807.1419
a=√[1807.1419]
a=42.51
Side A is 42.51ft.
Again
Cos B=[tex] \frac{a²+c²-b²}{2ac} [/tex]
Cos B=[tex] \frac{42.51²+20²-30²}{2*42.51*20} [/tex]
Cos B=0.7687
<B=Cos -¹(0.7687)
<B=39.46°
Angle B is 39.46°
What’s the point of intersection line 1 is 3x-2y=5 and Line 2 is x+2y=7
Answer:
(3,2)
Step-by-step explanation:
3x-2y=5
x+2y=7 Add them up
4x=12 Solve for x
x=3
3+2y=7 Plug it back into either one of the parent functions and solve for y
2y=4
y=2
(3,2) That's the point where the two lines intersect each other.
Please help me with my work
Answer:
Step-by-step explanation:
This is just simple addition so there really isn't anything to talk about.
Just note that -5 1/2+6 3/4=1 1/4.
Then, we do 1 1/4+(-4 1/4)
This is just -3.
Calculate the perimeter and the area of the figure use 3.14
Answer:
Step-by-step explanation:
13.
P= 19.42mm
A= 18.32mm²
Answer:
Half of 6 is 3(new radius)
2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42
2 + 2 + 2 = 6
6 - 2 = 4
Add lengths:
9.42 + 6 + 4 = 19.42 mm is your perimeter
2 x 2 = 4
3^3 = 9
9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13
Add areas:
4 + 14.13 = 18.13 mm2 is your area
A rectangle has a length of 5 inches and a
width of 3 inches. If a similar rectangle has
a width of 15 inches, what is its length
Answer:
It should be 25.
Step-by-step explanation:
one Triangle is 5 times the size of the other triangle
length of 5 x 5 = 25
width of 3 x 5 = 15
A bakery bakes 2000 loaves in 5 hours . How many loaves will be baked in 12
Answer:
4,800 loaves.
Step-by-step explanation:
Solve by utilizing ratios and cross-multiplication.
4. 8.G.3.9
This cone and sphere have equal volumes.
What is the radius of the sphere?
Answer:
the radius of the sphere is 12 cm.
Step-by-step explanation:
IN A CONE
vertical height (h) = 27 cm
radius (r) = 32 / 2 = 16 cm
Now the volume of cone is
= 1/3 *h*π*r²
= 1/3 * 27 *π *16²
= 2304π cm³
Also by the question the cone and the sphere have equal volumes so
volume of sphere = volume of cone
= 2304 π cm³
OR, 4/3 πr³ = 2304 π
4/3 * r³ = 2304
r³ = 2304 * 3 / 4
r³ = 1728
r = ∛1728
r = 12 cm
hope it helps :)
Flip a coin 4 times and calculate the experimental probability of the coin landing heads up. Flip a coin 4 more times to increase the total number of trials to 8. What is the experimental probability of the coin landing heads up?
Answer:
0.35 Not sure
Step-by-step explanation:
Answer:
3/4 and 5/8
Step-by-step explanation: