Answer:
The equation of the circle is [tex](x - 2)^2 + (y - 7)^2 = 21[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle, with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Diameter at the points (7,8) and (-3,6).
The diameter is the distance between these two points, so:
[tex]D = \sqrt{(-3-7)^2+(6-8)^2} = \sqrt{104}[/tex]
Radius is half the diameter, so:
[tex]r = \frac{\sqrt{104}}{2} = \frac{\sqrt{104}}{\sqrt{4}} = \sqrt{\frac{104}{4}} = \sqrt{21}[/tex]
So
[tex]r^2 = (\sqrt{21})^2 = 21[/tex]
Center:
Midpoint of the diameter, which is the mean of the coordinates. So
[tex]x_0 = \frac{7 - 3}{2} = \frac{4}{2} = 2[/tex]
[tex]y_0 = \frac{8 + 6}{2} = \frac{14}{2} = 7[/tex]
Then
[tex](x - 2)^2 + (y - 7)^2 = 21[/tex]
is this table a function? PLEASE HELPPP
Answer:
It is a function.
Step-by-step explanation:
I would suggest use the website Desmos.
please help with that please
Answer:
1) 18 cars
2) thursday
3) no
4) sunday
5) 24 cars
6) 30 cars
Step-by-step explanation:
1. Find P (phone has internet or phone plays music) using this Venn diagram.

2. Explain why we need to subtract P(A and B) in the equation P(A or B) = P(A) + P(B) - P(A and B).
Answer:
tough question guy needed more points to answer
Step-by-step explanation:
MARK AS BRAINLIEST5
Ginny is baking mince pies.
(a) A recipe says to use 3000 g of mincemeat for 100 pies.
How many grams of mincemeat will she need for 70 pies?
Answer:2100g
Step-by-step explanation:
We can use ratios to solve this:
100 pie : 3000g
1 pie : 30g
70 pie : 2100g
Use the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS A sin A
Answer:
See explanation
Step-by-step explanation:
Given
The attached triangle
Required
Complete the ratios
(a) sin B
[tex]\sin(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(B) = \frac{b}{c}[/tex]
(b) cos B
[tex]\cos(B)[/tex] is calculated as:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(B) = \frac{a}{c}[/tex]
(c) tan B
[tex]\tan(B)[/tex] is calculated as:
[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(B) = \frac{b}{a}[/tex]
(d) tan A
[tex]\tan(A)[/tex] is calculated as:
[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(A) = \frac{a}{b}[/tex]
(e) cos A
[tex]\cos(A)[/tex] is calculated as:
[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(A) = \frac{b}{c}[/tex]
(f) sin A
[tex]\ain(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\sin(B) = \frac{a}{c}[/tex]
El lado mas largo de un triangulo rectangulo es 5 mas que 4 veces el laso mas corto. El tercer lado es 10metros que la suma de los otros dos. sea 8 cm la longitud del lado mas corto.
Answer:
the answer is that yoy need to learn how to speak english
4 time 4
equals 16
Which polynomial is in standard form? o 4 + 3xy - 5xy3 + y4 o –x4 + x3y2 + 7xy3 - 2y4x2 0893 + 10ab2 - 12a2b3
Answer:
46
Step-by-step explanation:
Find cos0, where 0 is the angle shown. Give an exact value, not a decimal approximation. (listing BRAINLEST)
Step-by-step explanation:
everything can be found in the picture
what is a secant of a circle
In geometry, a secant of a curve is a line that intersects the curve at a minimum of two distinct points. In the case of a circle, a secant will intersect the circle at exactly two points.
A kite is flying 99 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 62º. Find the length of the string. Round your answer to the nearest tenth. (plz help)
Can someone help me? Question attached, 20 points.
Answer:
6
Step-by-step explanation:
[tex]V = A * b = 5A[/tex]
[tex]5A = 141.3[/tex]
[tex]A = 28.26[/tex]
[tex]\pi r^2 = 28.26[/tex]
[tex]3.14 r^2 = 28.26[/tex]
[tex]r^2 = 9[/tex]
[tex]r = 3[/tex]
[tex]D = 2r = 2 * 3 = 6[/tex]
A transport company is greatly reducing the amount of oil it uses—but by how much? What number should be below the final barrel?
Answer:
2
Step-by-step explanation:
first nomber,
19247
second nomber,
7429
third nomber,
924
fourth nomber,
42
fifth nomber,
2
Answer:
2
Step-by-step explanation:
no. 1 is 19247
no. 2 is 7429 ,so the last four number of 19247 are reply
no. 3 is 924 ,so the last three number of 7429 are reply
no. 4 is 42 ,so the last two number of 924 are reply
no. 5 is 2,so, the last number of 42 are reply
Is I’m doing this right guys
Answer:
Yes you are.
Step-by-step explanation:
Just keep plugging in the values for x. Good job.
yes you r doing it right
3/4 *0=0
1. The table represents values when input into a function f(x). What is the average rate of change of f(x)
from x = 2 to x=6? Show your work.
Answer:
Step-by-step explanation:
[tex]Rate \ of\ change =\frac{f(6)-f(2)}{6-2}[/tex]
[tex]=\frac{11-(-5)}{6-2} =\frac{11+5}{4}=\frac{16}{4}=4[/tex]
Find the area of a trapezium which has 6cm,5cm and 4cm
Answer:
28 sq. cm
Step-by-step explanation:
Area of a trapezium
= height * (base + top)/2
= 4 (6+8)/2
=28 sq. cm.
What is the value of x?
Answer:
i think its 29
Step-by-step explanation:
180-64=116
116/2=58
58/2=29
Answer:What is the value of x?
Step-by-step explanation: x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Dena borrowed $75,000 to buy a used car. The credit union charged 9% simple interest per year. She paid $2,025 in interest. For what period of time did she borrow the money?
Whats the...
Principal_____
Rate____
Intrest_____
PLSSSS ITS DUE IN 10 MINS
Evaluate the expression when t is 4.
Equation: 3 x 2t
Answer:
Step-by-step explanation:
3*2t
substitute the value of t
=3*2*4
=24
Answer:
24
Step-by-step explanation:
so you do
3x 2(4) subsuite the t for the 4
then do 2*4= 8
then d0 3x8= 24
Computer World has all computers on sale
for 20% off. If the regular price of a laptop is
$750, what is the sale price?
Answer:
The sale price is $150
Step-by-step explanation:
1. Turn your percent into a decimal.
20% = 0.20 or 0.2
2. Multiply the decimal by 750.
0.2 x 150 = $150
(i usually use a calculator for this part)
The coordinate grid represents the school playground. Which of the following accurately describes the location of a playground area? Select all that apply.
Answer:
the answer is the first one
Step-by-step explanation:
the slide is 2 under left and 4 units up from the soccer field
What is 66.143 rounded to the nearest tenth?
QUICK
Answer:
66.1
Step-by-step explanation:
Answer:
66.1
Step-by-step explanation
To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth’s place.
Find the perimeter of the figure below, in feet.
8.eft
6.6 ft
16.6A
6.6 ft
6.6 ft
eft
2 ft
6.6 ft
6.6 ft
12.4ft
12.4ft
8.2 ft
Answer:
not entirely sure but my answer is 87.6ft.
for the perimeter of the shape.
Step-by-step explanation:
I cut out the extra square-ish pieces of the sides and found
that both are 17.2 for their perimeter. so 17.2×2= 34.4
then I found the perimeter of the sides of the rectangular shape and the sides were both 18.4ft. so 2(18.4+8.2)= 53.2.
so 53.2+34.4 = 87.6ft.
What is filtration??
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\pmb{\qquad{\qquad{\qquad{\underline{\green{\underline{\sf{Filtration}}}}}}}}[/tex]
Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Please can you help with no 5
Answer:
0.0046
Step-by-step explanation:
1/6 *1/6 *1/6 = 0.00462963
What is the circumference, using 3.14 for pi.
Answer:
circumference=2πr
2×3.14×637.68mits yr correct ans.
hope it helps
stay safe healthy and happy...Answer:
Option 4: 37.68 m
Step-by-step explanation:
The formula for finding this equation is C = 2πr
So to find our answer we will first multiply 2 by 3.14 and we get 6.28. Now multiply 6.28 by 6 and we get 37.68. Therefore, 37.68 is our answer.
Which number completes the table?
n
63
91
119
147
n7
9
?
21
Answer:
The answer is 13.
Step-by-step explanation:
n ÷ 7
= 91 ÷ 7
=13
Which first step most directly leads to the solution of the equation below?
x^2 – 16 = 65
A. Add 16 to both sides of the equation.
B. Add -x^2 to both sides of the equation.
C. Rewrite the left-hand side as (x - 4)(x+4)
D. Rewrite the left-hand side as (x - 4)^2
2 7/9 divided by 5/6 in fraction.
The fraction after the division is A = 46 / 15
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the first fraction be p = 2 7/9
Let the second fraction be q = 5/6
Now , A = p/q
On simplifying the equation , we get
A = 2 7/9 / 5/6
A = ( 25/9 ) / ( 5/6 )
A = ( 25/9 ) x ( 6/5 )
On simplifying , we get
A = 138/45
A = 46 / 15
Hence , the fraction is A = 46/15
To learn more about fractions click :
https://brainly.com/question/29766013
#SPJ2
The measure of angle NOP is 140
Which of the equations could be used to find the measure of angle NOQ?
Answer:
a) 23 + x = 140
Step-by-step explanation:
140 - 23 = 117
the angle x = 117°
Question 5 of 10
What is the slope of the line x = 3?
Answer here
Answer:
Undefined
Step-by-step explanation:
This equation is just a vertical line, so the slope is undefined.
