The general equation of a circle is (x-h)²+(y-k)² = r². The equation of circle A is (x+4)²+(y+2)²=9.
What is the equation of a circle?The general equation of a circle is given as,
(x-h)²+(y-k)² = r²
Where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle,
Given that the four points that lie on the circle are (-4,1), (-1,-2), (-4, -5) and (-7,-2), and also the centre of the circle is at (-4,-2). Therefore, the radius of the circle will be the distance between the centre of the circle and any point lying on the circle.
[tex]\rm \text{Radius of the circle} = \sqrt{[(-4)-(-4)]^2+[(-2)-(1)]^2}\\\\\text{Radius of the circle} = \sqrt{(0)^2+(-3)^2}\\\\\text{Radius of the circle} = 3\ units[/tex]
Since the coordinate of the centre point of the circle is (-4,-2), while the radius of the circle is 3 units, therefore, the equation of the circle can be written as,
[tex][x-(-4)]^2+[y-(-2)]^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 9[/tex]
Hence, the equation of circle A is (x+4)²+(y+2)²=9.
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How many four- digit numbers can be formed from the digit 1,3,4,5,6&7 where the digit is used at most once?( repetition are not allowed)
a)if the number must be odd
b)if the number must be even
Answer:
A. 24
B. I don't think you can make any since you can't repeat numbers and there is only two even numbers
Also, if you use all six numbers, it's 120 combos
If it take 8 cups of flour to make 4 Loaves of bread, how many loaves of bread can you make from 40 cups of flour
Answer:
20
Step-by-step explanation:
Since 8 x 5 is 40, we can multiply 4 x 5 to get 20.
The equation y - 1 =-7(x-3) is written in point-slope form. What is the y-intercept of the line?
O -4
O-2
O 20
O 22
(18) (3, -2) lies on terminal side of angle (θ).
Find the EXACT value of sec (θ)
Show steps
By applying fundamental and derivate trigonometric expressions it is to be concluded that the secant of the line segment whose terminal side is (3, - 2) is approximately 1.202.
How to apply trigonometric expressions
Trigonometric expressions are trascendent expressions derived from relationships between sides of the triangle contained in a goniometrical diagram.
There are at least six trigonometric expressions: sine, cosine, tangent, cotangent, secant, cosecant. The first two expressions are fundamental, whereas the rest are derived from them.
We can derive an expression for the secant of the angle by applying trigonometric expressions:
[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex] (1)
If we know that x = 3 and y = - 2, then the secant of the angle is:
[tex]\sec \theta = \frac{\sqrt{3^{2}+(-2)^{2}}}{3}[/tex]
sec θ ≈ 1.202
By applying fundamental and derivate trigonometric expressions it is to be concluded that the secant of the line segment whose terminal side is (3, - 2) is approximately 1.202.
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Subtract 89.768 from 201.316
show your work
Answer:
111.548
-------------------------------
Subtract 201 from 89.
[tex]201 - 89 = 112[/tex]
we can estimate the answer will be close to 112
Next, work with the decimals. Note that the more you subtract, the bigger the decimal places get.
[tex]0.768 - 0.316 = 0.452[/tex]
Round 0.452 up from the hundredths place to nearest tenths place.
[tex]0.452 = 0.5[/tex]
Since the decimal place is bigger, estimate 0.55 instead.
Subtract 0.22
[tex]0.55 - 0.2 = 0.548[/tex]
Add this number to 112
[tex]112 + 0.548 = 112.548[/tex]
Subtract 1 because of the estimate.
[tex]112 - 1 = 111[/tex]
Therefore, we have 111.548 based off of subtracting and estimating in a specific method.
2) What is the area of the parallelogram?
A. 16 square centimeters
B. 30 square centimeters
C. 60 square centimeters
D. 120 square centimeters
(20 points)
height= 6 cm
base= 10 cm
to find:the area of the parallelogram.
solution:[tex]formula = bh[/tex]
[tex]a = 6 \times 10[/tex]
[tex]a = 60 {cm}^{2} [/tex]
therefore, the area of the parallelogram is 60 square centimeters.
answer= option c.
Order the numbers from least to greatest -1 -1/4 -1 1/2 3/4 and 1/8
Answer:
-11/2
-1
-1/4
1/8
3/4
Step-by-step explanation:
-11/2 = -5 1/2
-1 = -1
-1/4 = -1/4
1/8 = 1/8
3/4 = 6/8
When designing a training plan, what do you need to think about?
A. Frequency, rest, progression
B. Moderation, progression and overtraining
C. Rest, goals, overload
D. Frequency, overtraining, time
The product of a number and 7 less than the number is 30. Find the number.
Answer:
-3 or 10
Step-by-step explanation:
[tex]x(x - 7) = 30[/tex]
[tex] {x}^{2} - 7x = 30[/tex]
[tex] {x}^{2} - 7x - 30 = 0[/tex]
[tex](x - 10)(x + 3) = 0[/tex]
x = -3 or 10
22. A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week.
(b) What is the slope of the graph and what does it represent?
A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week.
What are the possible transformations that could have been used to create the red figure A'B'C'D' from the blue
figure ABCD?
A
D'
-5-4-3-2-1. B
3 A 5 x
-2
a reflection across
the y axis followed by a translation of 5 units up and 5 units left
O a reflection across the y axis followed by a 90-degree rotation counterclockwise about the origin
a rotation of 90 degrees counterclockwise about the origin followed by a reflection across the y axis
A
5
4
3
2
B
BB
Ni
& &
2
Answer:
Second option.
Step-by-step explanation:
A reflection across the y axis followed by a counterclockwise rotation around the origin.
Ollie drank 1/2 of a 16 fluid ounce bottle of juice how many cups of juice are left in the bottle explain
Answer:
Step-by-step explanation:
1 cup is left because 16 ounces is 2 cups so half would be one
PLEASE HELP ASAP WILL MARK BRAINLIEST!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need
to handle them separately.
(a) What is 0.47 expressed as a fraction in simplest form?
(b) What is 0.4-7 expressed as a fraction in simplest form?
(c) What is 0. -47 expressed as a fraction in simplest form?
There are lines above the seven in decimal B and the line in decimal C is above both numbers. pleaseeeee help me
Answer:
See below
Step-by-step explanation:
a) 47/100
b) .4777777..... =x
then 10x = 4.77777....
100x = 47.777777 .... now subtract 10x to get
90x = 43
x = 43/90
c) .4747474747...... = x
100x = 47.474747 now subtract x to get
99x = 47
x = 47/99
A recipe uses 3 cups of sugar to make 48 pieces of taffy. How much sugar would it take to make 72 pieces of taffy
Answer:
4.5 cups of sugar
Step-by-step explanation:
This is how i solved it...
3 cups sugar = 48 pc. taffy
??? cups sugar = 72 pc. taffy
48 x 1.5 = 72
that means 3 x 1.5 should get you how many cups!
3 x 1.5 = 4.5
4.5 cups of sugar! hope this helps!!!
Answer:
3 1/2 cups of sugar
Step-by-step explanation:
3=48
3 1/2= 72
Easy math what one a b c d e
Answer:
problem 14 = E
Step-by-step explanation:
well that's all ther is to it, it's E because y or x being 0 would make the equation undefined
How much is a square mile
a square mile is equivalent to 27878400 square feet
Performance Task A. Directions: Solve the problem and answer the following questions. Renz' family attended a pool party. The pool is circular in shape. He wants to find out the area of the pool. If the radius is six meter, what could be the area? Fill in the blanks. 1. The radius of the pool is m 2. The diameter of the pool is __m 3. The value of pi is 4. Formula in finding the area of a circle 5. Area of the swimming pool X m²
Answer: 144 meters
Step-by-step explanation: area of circle = r^2
6^2 = 36 = 144 Meters given = 4
radius of pool is 6 meters
diameter of pool is 12 meters
= 4
area of circle = r^2
area of swimming pool is 144 meters
correct answer please!
Use the numbers from the item bank to write the value of each expression.
Photo down below!
Step-by-step explanation:
4347 ÷ 21 = 207
4715 ÷ 23 = 205
5200 ÷ 25 = 208
5356 ÷ 26 = 206
solve for the value of k
pls help me asap
Answer:
k=13
Step-by-step explanation:
We know that
straight angle is equal to 180⁰
(4k-7)⁰+90⁰+(3k+6)⁰=180⁰
4k-7+3k+6=90
7k=91
k=13
I hope it helped you
How do you convert joules to kJ
Answer:
Divide by 1000.
Step-by-step explanation:
For example, 1 joule is 0.001 kilo joule.
1 divided by 1000 is 0.001.
If there were 30 joules, there would be 0.032 kilo joules.
station at any time?
OA. 100
OB. 80
OC. 40
OD. 20
Step-by-step explanation:
Station at any time A 100
Evaluate 3x+ y when x equals 1/3 and y equals -7/4. Write your answer as a fraction in simplest form.
Please help!! Thanks!!
Answer:
-3/4
Step-by-step explanation:
Put in the values for 'x' and 'y'
3 * (1/3) + (-7/4)
1 - 7/4
4/4 - 7/4
(4-7)/4 = -3/4
which compound inequality is equivalent to the absolute value inequality |b|>6?
The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the inequality:
|b| > 6
Hence:
b > 6 and -b > 6
b > 6, and b < -6
The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6
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Answer:
Answer is A
Step-by-step explanation:
Got it right on the quiz
if your expenses total $5,600 per month. you charge$25 per hour and have contracts for study work that total 45 hours per week for 52 weeks of the year. How does this rate cover your expenses?
Answer:
$8700
Step-by-step explanation:
since there are 12 months in a year:
5600 x 12 = $67200
pay per week: 25 x 45 = $1125
pay per year: 1125 x 52 = $58500
67200 - 58500 = $8700 left over
not too sure by what you meant with the question (How does this rate cover your expenses?) but i hoped this helped in some way :)
Look at this function:
x y
−3 −8
−2 −6
−1 −4
0 0
Matt said that the function is linear.
Justine said that the function is nonlinear.
Which of the following explains who is correct?
Matt, because for every 1-unit increase in x, there is an increase in y by 2
Matt, because for every 2-unit increase in x, there is an increase in y by 1
Justine, because the point (−3, −8) does not lie on the straight line that contains the other points
Justine, because the point (0, 0) does not lie on the straight line that contains the other points
Justine, because the point (0, 0) does not lie on the straight line that contains the other points.
Explanation:
See the graph below. The following coordinates are not in a stright line.
Hence, it is a non linear function. Justine is right.
When drawn a straight line. the coordinates: (0,0) does not lie on the line.
2 ≤ s-2 Find variable for s
Please show your work
Answer:
∂x. )2 + (. ∂z. ∂y. )2 = √1 +. 1. 9. +. 1. 4. = 7/6. Then the area of S is found by calculating the surface integral over S for the function f(x, y, z) =
hope this helps
Answer:
s <= 4
Step-by-step explanation:
First we re arrange
s - 2 >= 2
a-2+2>=2+2
a>=2+2
a>=4
How many solutions exist for the given equation?
3x + 13 = 3(x + 6) + 1
Answer:
0
Step-by-step explanation:
3x+13 = 3(x+6)+1
3x+13=3x+19
13=19
This is never true so there are 0 solutions
If the x's didnt cancel out, you could use the fundemental theorom of algebra, which states that in the simplest form(nothing will cancel out anymore), the highest degree(highest power) on a variable is the number of solutions.
"Place a number in each box so that each equation is true and each equation has at least one negative number."
Answer:
x=1, y=-1
Step-by-step explanation:
Given the equation:
where x and y are the blank boxes.
We want to find
A positive value of x
A negative value of y
That makes the equation true.
If x=1, y=-1
This can be confirmed using addition law of indices()
In general, any pair of a number and its negative value will satisfy the equality.
Step-by-step explanation:
Bob has $600 in a savings account that earns' 5% annually. The interest is not compounded
How much interest will he earn in 1 year?
Use the formula /= prt, where I is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (600)(0.05)(1)\implies I=30[/tex]
Answer:
30
Step-by-step explanation:
You would frist start by mutiplying 600 you principal by .05 your rate which equals 30. The you would multiply that by you time which is 1.
x+3=y
what is y?
GIVING BRANLIEST
Answer:
There isn't a way to solve for y but I can give you this
Step-by-step explanation:
Slope=1
x-intercept is -3/1
y-intercept is 3/1