Answer:
Step-by-step explanation:
The equation of the circle is ( x + 6 )² + ( y - 4 )² = 36 and the radius is r = 6 units and the center of circle is P ( -6 , 4 )
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the radius of the circle be r = 6 units
The point of center of the circle is at P ( x , y )
The coordinates of the point P is = P ( -6 , 4 )
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
On simplifying , we get
( x - ( -6 ) )² + ( y - 4 ) = 6²
( x + 6 )² + ( y - 4 )² = 36
Therefore , the value of A is ( x + 6 )² + ( y - 4 )² = 36
Hence , the equation of circle is ( x + 6 )² + ( y - 4 )² = 36
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En una ciudad se registró una temperatura de 12°c bajo cero a las 3:00 am si a las 7:00am del mismo dia la temperatura era tres veces mayor ¿Cual seria la temperatura a esa hora
Answer:
24°c
Step-by-step explanation:
Cuando se dice que la temperatura esta "mayor" significaria que esta aumentando y entorno subiendo a ser mas caliente. Siendo este el caso, si la temperatura a las 3:00 estaba a 12c bajo cero entonces a las 7:00 estaria a 24c. Esto es por que un aumento de tres vecesseria un aumento de 36 grados (12*3). 12c grados bajo cero seria un numero negativo y si sumamos estos numeros nos daria 24c grados.
-12 + 36 = 24
PLSSS HELPPP ME ,Plssss
Answer:
It has 2 layers and 20 unit cubes on each layer
Step-by-step explanation:
weight of sheep,in pounds, at the Southdown sheep farm:
what is the range of weights of the sheep?
plz anwser asap I'm being timed
Answer: 170
Step-by-step explanation:
275-105
help please ! I dont understand this question
Answer:
x = 4
Step-by-step explanation:
all angles in triangle add to 180
90+70=160
180-160=20
20÷5=4
I need help ASAP!
Please help me!!
1. The X axis is the line going left and right
2. The Y axis is the line going up and down
3. The origin is the point where the X and Y axis meet; (0,0); by the 0
4. The points will be written as A, B, C. This is going from left to right. So the first box on the coordinate plane furthest to the left with be labeled with A. Then the second box furthest from the left; the middle box; will be labeled with B. Then the last box will be labeled C
5. (4,6)
6. (2,9)
7. (0,4)
8. When Allie identified the point, she mixed the X and Y coordinates. To identify a point you first want to find the point following the X axis. Then do the same with the Y axis. After doing this you should have 2 numbers, in which are 3 and 7. Now when writing the coordinates, the X axis ALWAYS comes first. So it should look like (7,3)
PLEASE HELP! NO LINKS OR I WILL REPORT!! I SUCK AT ALGEBRA
Answer:
-5 and 3
Step-by-step explanation:
(-(-2) +/- √(4- (4(1)(-15))) ÷ 2
(2 +/- √64 )÷ 2
(-2+8) ÷ 2 = 3
(-2 -8) ÷ 2 = -5
If who answers the question fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!
Barney ate 21 M&M's. If he ate 15% of the bag of M&M's, how many were in the bag to start?
Answer:
140
Step-by-step explanation:
15/100 = 21
21*100= 21000
21000/15= 140
HELP ANWSER ASAP PLEASE
Answer:
[tex] \boxed{x = 45°} [/tex]
Step-by-step explanation:
When two chords intersect at a point in a circle, they form arcs, along with angles at the intersection point.
To determine the angle of the arc, we must apply this geometric rule:
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex].
Since we are looking for one of the arcs, we can rearrange this formula to solve for the first arc.
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex] →
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(\overset{\frown}{BA} + \overset{\frown}{CD}) [/tex] →
[tex] 2 × Angle \: formed \: by \: chords = \overset{\frown}{BA} + \overset{\frown}{CD} [/tex] →
[tex] 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} = \overset{\frown}{BA} [/tex]
[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]
[Given]
[tex] \overset{\frown}{BA} = x° [/tex]
[tex] \overset{\frown}{CD} = 99° [/tex]
[tex] Angle \: formed \: by \: chords \: = 72° [/tex]
→
[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]
→
[tex] x° = 2 × 72° \: – \: 99° [/tex]
[tex] x° = (2 × 72°) \: – \: 99° [/tex]
[tex] x° = 144° \: – \: 99° [/tex]
[tex] \boxed{x° = 45°} [/tex]
Can someone help me with these questions?
HURRYY!!!
Beginning with Rodney’s first month of high school, his father deposits $5 into Rodney’s savings account. Each month after the first month, his father deposits $2 more than the previous month. The total amount deposited in Rodney’s account after four years can be represented using the expression . How much total money has been deposited?
$2,496
$2,544
$2,640
$2,688
Answer:
A
Step-by-step explanation:
Edge 2021
The sum of the 48 terms will be $2,496. Then the correct option is A.
What is the arithmetic sum of sequence?Let a₁ be the first term, n the number of the terms, and l be the last term of the sequence.
Then the sum of all the terms will be given as,
S = [n (a₁ + l )] / 2
Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
[tex]\rm a_n = a_1 + (n - 1)d[/tex]
Beginning with Rodney’s first month of high school, his father deposits $5 into Rodney’s savings account.
Each month after the first month, his father deposits $2 more than the previous month.
Then the first term is $5 and the common difference is $2.
The total amount deposited in Rodney’s account after four years can be represented using the expression.
Then the total number of the terms will be
n = 4 x 12
n = 48 months
Then the 48th term of the sequence will be
a₄₈ = 5 + (48 – 1) · 2
a₄₈ = 5 + 47 · 2
a₄₈ = 5 + 94
a₄₈ = 99
Then the sum of the 48 terms will be
S = 48 (5 + 99) / 2
S = 24 × 104
S = $2,496
Then the correct option is A.
More about the arithmetic sum of sequence link is given below.
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An item that originally cost 50$ is marked down 20%. Find the new cost of the item after the discount
What is 8/9 - 1/3? I can’t seem to figure out the answer
Answer:
Answer:
have a common denominator first,
9
8/9 - 3/9 = 5/9
1/3 x 3/3 = 3/9
helppp heading my sister
Answer:
A parallelogram is a quadrilateral with 2 pairs of opposite, equal and parallel sides. A rectangle is a quadrilateral with 2 pairs of opposite, equal and parallel sides BUT ALSO forms right angles between adjacent sides. It confused me that a parallelogram is never considered a rectangle, ... This is simply not true.
The sum of 10 and twice a number
(an equation)
Answer:
10+2x= the sum (anything could be put here)
Step-by-step explanation:
Well sum is automatically addition
Doubleing a number is basically multiplying it by 2
so
10+2x= whatever youw ant to put here
The radius of a circle measures 11cm. what is the circumference of the circle?
Answer:
C = 69.08
Step-by-step explanation:
C = 2πr
C = 22π or 69.08
An electrician charged a fee of $45 plus $60 per hour to come to Ed's house and make a repair. How many hours did the repair take if the total bill was $120.
Answer:
1 hour and 15 minutes
Step-by-step explanation:
$120 - $45 = $75
$75 ÷ $60 = 1.25 hours or and 1 hour and 15 minutes
What is order of operation?Explain.
Answer:The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step-by-step explanation:Using PEMDAS which means (Parenthesis, Exponts, Mutliply, Divide, Add, and Subtract) The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
HELP ASAP PLSS (NO LINKS OR ILL REPORT)
Answer:
C is correct.
Step-by-step explanation:
I took this test.
-7x + y = -2 in slope-intercept form. what is the y-intercept and slope?
add -7x to the other side so the equation is
y=7x-2
slope is 7
y-int is -2
Need help with this asap!
Answer:
Step-by-step explanation:
area circle = πr² or π(d/2)² but how to find the diameter?
The only angles I can see to calculate is in the small right triangle
The smaller angle on the right is ...
sin Ф = opp/hyp = 6/10 Ф = 36.87°
This angle is the same as the small angle on the LARGE right triangle
So now I want to calculate the side (diameter) opposite the smaller angle
sin Ф = opp/hyp = diameter/300 = sin 36.87°
diameter = 300 sin 36.87°
= 300 (6/10)
= 180 ft
area circle = πr² or π(d/2)²
area circle = π(180/2)²
area circle = 25446 ft² which is close to answer A 25434 ft²
There is actual no need to find the sin Ф wasted step
just use 6/10 small triangle is similar to diameter/300 the large triangle
opp / hyp small 6/10 = diameter/300 diameter = 180
area circle = π(180/2)² = 25446
6m+5=m+20 pls help now
Answer:
m = 3
Step-by-step explanation:
Answer:
m = 3
Step-by-step explanation:
6m + 5 = m + 20
6m + 5 - 5 = m + 20 - 5
6m = m + 15
6m - m = m - m + 15
5m = 15
5m ÷ 5 = 15 ÷ 5
m = 3
4 is added to the numerator of the fraction 2/5 what number must be added to the denominator to make the fraction equivalent to 1/2
Answer: 7
Step-by-step explanation:
Hope this helps!
Which is the value of this expression when j = 2 and k = 1?
Answer:5
Step-by-step explanation:
Just cuz
Answer: -64 or A
Step--by-step explanation:
PLSSSSSSSSSSS HHELPP IM BEGGING YOU
a. The sum of two numbers is 22 and their difference is 14.
i. Form the simultaneous equations.
ii. Find the two numbers.
Solve the equation using the distributive property and properties of equality. 2 (x minus 8) = 68 What is the value of x?
Answer:
x=42
Step-by-step explanation:
2(x-8)=68
Distribute the 2
2x-16=68
Use the addition property of equality (add 16 to both sides)
2x=68+16
2x=84
Use the division property of equality (divide both sides by 2)
x=84/2
x=42
Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?
Answer:
18 sharpened pencils
Step-by-step explanation:
Total = 30 pencils
100% = 30 pencils
1% = 30 ÷ 100 = 0.30
60% = 0.30 x 60 = 18
Answer:
18 sharpened pencils
Step-by-step explanation:
the percent 3/5 can be multiplied by 6 to give u 18/30
Please please I beg you
Answer:
2x+2
hope it helped:))))))))
Answer:
2x + 2
Step-by-step explanation:
f(x) + g(x)
= 9 - 3x + 5x - 7 ← collect like terms
= 2x + 2
there is a line that includes the point (2,2) and has a slope of 3. What is its equation in slope intercept form?
Answer:
y = 3x - 4
Step-by-step explanation:
y = 3x + b
2 = 3(2) + b
2 = 6 + b
-4 = b
y = 3x - 4