What is an equation of a circle whose center is (1,4) and diameter is 10?
Question options:
x2 − 2x + y2 − 8y = 83
x2 − 2x + y2 − 8y = 8
x2 + 2x + y2 + 8y = 8
x2 + 2x + y2 + 8y = 83
Answer:
[tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]
Step-by-step explanation:
Standard form for a circle is:
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex] (h, k) is the center r is the radius
[tex](x - 1)^{2} + (y - 4)^{2} = 5^{2} \\x^{2} - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2} - 2x + y^{2} - 8y = 8[/tex][tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]
The distance around a meteor crater is 9,471 ft. Find the diameter of the crater. Use
22/7 for pi.
The distance around a circle is the circumference.
Circumference is diameter x PI
You are given the circumference and the value of pi.
To find the diameter, divide the circumference by pi.
Diameter = 9,471 / 22/7 = 3,013.5 feet
(3+7i)+(-5+2i)-(-7+6i)
What is the sum of the measurements of all the angles in a polygon with k sides?
Answer:
(k - 2) * 180
Step-by-step explanation:
What is the value of X?
Answer:
It is 23
Step-by-step explanation:
BC= FE
(x-4)=19
Therefore x= 23
Convert the fraction into a percentage.
3 = %
(Enter number as a whole number without the percentage sign.)
Pls help me
Answer:
75%
Step-by-step explanation:
3 is 75 the way to 4 so it would be 75%
Identify the inverse operation:r/4
Answer:
The inverse of this expression is the multiplication of 4. Answer: 4r, or 4 times r
Step-by-step explanation:
So first off, multiplication is the inverse of division, therefore, dividing r by 4 is the inverse of multiplying r by 4, so the answer is 4r.
Martha ran 310 meters during P. E. class today. How many centimeters did Martha run?
Answer:
31000
Step-by-step explanation:
hope this helps :)
Answer:
31000
Step-by-step explanation:
Lindsay infers that out of 400 people,300 would prefer to watch movies in a theater. Is her inference valid?
Rewrite in simplest terms: −10(5t+5)−10(10t+6)
Answer:-150t-110
Step-by-step explanation:
-10(5t+5)-10(10t+6)
-50t - 50 - 100t - 60
=
-150t-110
A customer buys a refrigerator for $650 and must pay a sales tax of 6% of the cost. What is the total cost of the refrigerator?
A)$108.33
B)$589
C)$679
D)$689
Answer:
A
Step-by-step explanation:
because he is rich
find the value of given expression
[tex] \sqrt[3]{9 - 1} [/tex]
Answer:
2
Step-by-step explanation:
[tex] \sqrt[3]{9 - 1} \sqrt[3]{8} \\ = 2[/tex]
what two number multiply to make -36 as well as add to make 16
-12 x 3 = -36
-6 x 6 = 36
-8 x 2 = -16
-4 x 4 = -16
5. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank?
Answer:
8 ft.
Step-by-step explanation:
V = Bh B = area of the base h = height
The base is a circle, so [tex]B = \pi r^{2}[/tex]
320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]
[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]
r = 4
d = 8 ft.
Complete the table.
f(y) = 4y2 - 4v
f(v
-4
-3
-2
-1
Answer:
f(y) = 4y2 - 4v
f(y) = 4y² - 4(-4) = 4y² + 16
f(y) = 4y² - 4(-3) = 4y² + 12
f(y) = 4y² - 4(-2) =4y² + 8
f(y) = 4y² - 4(-1) = 4y² + 4
Step-by-step explanation:
Determine a pair of angles (one positive and one negative) in degree measure coterminal to the angle 117°.
Answer:
Option B.
Step-by-step explanation:
When we have an angle A, in degrees, the coterminal angles are all the angles that can be written as:
B = A + n*360°
Where n is a positive or a negative integer (if n = 0, then B = A, which means that A is coterminal with itself, which is trivial).
Now we want to find two coterminal angles to 117°, such that one is positive and the other negative.
Then we can do:
for the positive one, use n = 1.
B = 117° + 1*360° = 477°
For the negative one, use n = -1
B = 117° - 1*360° = -243°
Then the two angles are 477° and -243°
The correct option is B.
which graph represents the solution to 7x < 21 or 6x -9 > 21
Answer:
There is no solution, though the lines are confirmed as dashed with the shaded area being on the outer sides.
Step-by-step explanation:
above
Find the area of the shaded region.
Answer:
B. x^2-10
Step-by-step explanation:
Your are trying to find the shaded region
You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it
Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square
Equation:
(x*x)-(2*5)
x^2-10
The answer is B
Express (x + 6)2 as a trinomial in standard form.
Answer:
12+2x
Step-by-step explanation:
two multiplies what's in the brackets
Name each angle in four ways
Step-by-step explanation:
acute and obtuse.......
hope this will help you....
SALE
65% OFF
original price!
Kinsley wants to buy a beach umbrella. The original price is $60. What is the sale price?show work!
Answer:
$21
Step-by-step explanation
65/100 = .65
60 * .65 = $39
60 - 39 = $21
helppp pleaseeeeee!!
Answer:
c .
Step-by-step explanation:
Answer:
sas maybe
Step-by-step explanation:
because a-c is a side marked by two lines, and it corresponeds
with b-c. c is the same angle. c-e is marked by one line and corresponds with c-d.
Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
Learn more about the trapezoid here:
https://brainly.com/question/4758162
A garden sells soil by weight, rounded to the nearest tenth of a pound, Elizabeth has 43.479 pounds of soil. What is the weight rounded to the nearest tenth of a pound?
Answer: 43.48 Pounds
Step-by-step explanation:
Given
Elizabeth has 43.479 pounds of soil
Rounding off to the nearest tenth of a pound
Consider 79 which occurs after the decimal place
Converting it to 80 as it is nearest to 80
So, we can write 43.479 as 43.48 Pounds
is it weird that im scared of my boy bsf
Answer:
No, not really.
Step-by-step explanation:
It kinda depends on what your best friend does. Do they act suspicious around you? Feel free to talk to me if you need help.
If 18 g of air has 48 J of heat added to it, what will be the change temperature? (C = 0.25 J/g x°C)
Explanation is in the file
tinyurl.com/wpazsebu
En el transcurso del 2015 – 2018 visitaron alrededor de 8700 turistas la playa, de los cuales el 35,10% fueron Extranjeros y el 64,9% fueron nacionales. ¿Cuántos turistas fueron extranjeros y cuantos nacionales?
Answer:
Los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
Step-by-step explanation:
De acuerdo a la información proporcionada, debes calcular el 35,10% del total de turistas para determinar el número de turistas extranjeros y el 64,9% del total de turistas para encontrar el número de turistas nacionales:
8700*35,10%=3054
8700*64,9%=5646
De acuerdo a esto, la respuesta es que los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
Find the slope of the line that passes through the two points (7, -5) and (1, -13). (Don't forget to simplify!)
I don't want no links just the answer if u don't have the answer don't give me a link
Answer:
The slope would be 4/3 or 1 1/3.
Step-by-step explanation:
When you put the coordinates in the point-slope formula, you will get -5 - (-13) over 7 - 1. The answer becomes 8/6 but if simplified, it becomes 4/3 or 1 1/3 as a mixed fraction.
Pls answer quick. Lol
Answer:
Step-by-step explanation:
120 is going to be 45 + x.
120 - 45 = x
120 - 45 = 75.
Please answer the question above.
Answer:
∠2 = 80°
Step-by-step explanation:
∠1 and ∠2 are supplementary angles (their sum is 180°)