Answer:
Its A.
Step-by-step explanation:
Edge 2021
This question is based on the equation of circle. Therefore, the equation of circle is (x - 4)² + (y + 7)² = 81 describes a circle with center (4, -7) and radius 9.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
Given:
A circle with center (4, -7) and radius 9.
We need to determined the equation describes a circle with center (4, -7) and radius 9.
According to the question,
As we know that, the equation of a circle in standard form is
⇒ (x - h)² + (y - k)² = r²
Where (h, k) are the coordinates of the center and r is the radius.
Here, it is given that, (h, k) = (4, - 7) and r = 9.
Therefore, by putting the given values.
We get,
⇒ (x - 4)² + (y - (- 7))² = 9², that is
⇒ (x - 4)² + (y + 7)² = 81 ← equation of circle
Therefore, the equation of circle is (x - 4)² + (y + 7)² = 81 describes a circle with center (4, -7) and radius 9.
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A rectangular painting is bordered on all sides by a frame. Write an
expression to describe the area of the frame.
A. 6x + 4
B. 4x2 + 3
C. 5x + 3
D. 4x2 + 5x + 3
I think it is a 6x+4
The required area of the frame shown is 5x + 3. Option C is correct.
What is surface area?The surface area of any shape is the area of the shape that is faced or the surface area is the amount of area covering the exterior of a 3D shape.
Here,
The area of the picture is given as,
= 2x × x
= 2x²
The area of the whole painting with frame.
= (x + 1)(2x+ 3)
= 2x² + 5x + 3
The area of the frame is given as,
= area of picture with frame - an area of the picture,
= 2x² + 5x + 3 - 2x²
= 5x + 3
Thus, the required area of the frame shown is 5x + 3. Option C is correct.
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The measurements of a rectangular room, in a scale drawing, are 2 inches by 3
inches. The scale is inch = 3 feet. If carpet costs $1.75 per square foot, how much will
it cost to put carpet in this room?
Answer:
so,
the room (2×3) × (3×3) feet, or 6x9 feet.
6x9= 54square feet
54 x 1.75= $94.50
Help Me Please.................
Answer:
[tex]x=-15.8994[/tex]
Step-by-step explanation:
Skills needed: Solving one variable equations, Multiplication
1) We are given: [tex]-11.818=-7+\frac{x}{3.3}[/tex], and we need to solve for "[tex]x[/tex]"
2) In order to do this, you need to isolate the variable. In other words, you need to make sure the term involving "[tex]x[/tex]" is on one side of the equation, while everything else is on the other side.
In this case, the term involving "[tex]x[/tex]" is: [tex]\frac{x}{3.3}[/tex] In order to isolate [tex]\frac{x}{3.3}[/tex], you need to get rid of the "-7" on the right side. To get rid of it, we can add 7 to both sides.3) [tex]-11.818+7 = -7+\frac{x}{3.3} +7[/tex]
[tex]-11.818+7=-4.818[/tex]
-7 and 7 on the right side cancel out.
4) So you are left with: [tex]-4.818=\frac{x}{3.3}[/tex]
To get "[tex]x[/tex]", you need to multiply both sides by 3.3If you do this, the denominator will get cancelled out, leaving us with "[tex]x[/tex]" equaling a value.5) So then: [tex]-4.818 * 3.3 = x[/tex] (that star sign in between -4.818 and 3.3 is a multiplication sign)
[tex]-4.818*3.3 = -15.8994[/tex], so [tex]x = -15.8994[/tex]
Hope this helps and have a nice day!! :] :) :D
Question 4
(05.05)What is the rate of change for the linear relationship modeled in the table
Answer:
-1/2
Step-by-step explanation:
A system of equations is shown below,
y = 5x + 2
10x - 2y = 12
what is the solution to the system of equations?
24 pack of mountain dew for 9.99 or a pack if mountain dew for 5.99 find the unit number
Answer:
24 pack of mountain dew=9.99
1 pack of mountain dew=9.99/24=0.41625
PLEASE HELP I WILL GIVE BRAINLIEST!!
Answer:
43.96
Step-by-step explanation:
To find Circumference the formula is
2*3.14*R=C
replace R with your radious which is 7
2*3.14*7=43.96
Bill is 6 years older than Mary. The sum of their ages is 48. What are the equations used to find their ages?
Step-by-step explanation:
Mary's age = x
Billi's age = x+6
So, Mary age + Billi age = x + (x + 6)
Sum of their ages = 2x + 6
So, 2x + 6= 48
2x = 48 - 6
2x = 42
x = 42/2
Mary age = x = 21
And Billi age = x +6= 21 + 6 = 27
So Mary = 21
And Billi = 27
Lets check!
21 + 27 = 48
So therefore their ages add up to 48
So the answer is correct!
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=67°, and FD = 7.4 feet. Find the length of EF to the nearest tenth of a foot.
Answer:
14.2 ft
Step-by-step explanation:
tan 66° = 32/ FD
FD = 32 / tan 66° = 32 / 2.246 = 14.2
hope it helped you
Answer:
17.4
Step-by-step explanation:
\tan D = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{7.4}
tanD=
adjacent
opposite
=
7.4
x
\tan 67=\frac{x}{7.4}
tan67=
7.4
x
7.4\tan 67=x
7.4tan67=x
Type into calculator and round to the nearest tenth of a foot.
volume of rectangular prism with length of 9in and width of 1 1/3in and height of 4 2/3in
Answer:
V≈55.98
Step-by-step explanation:
V=WHL=1.33x4.67x9≈55.978
What is the solution set for (2x-7)^2=25
The solution set for the quadratic equation (2x - 7)² = 25 is 6 and 1.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
The solution set for a quadratic equation is the roots of the quadratic equation.
Given, (2x - 7)² = 25.
2x - 7 = ± 5.
2x = ± 5 + 7.
x = (± 5 + 7)/2.
x = 12/2 Or 2/2.
x = 6 or 1.
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need help fast thanks
Answer: AOS: x =3 Vertex at (3,2)
Step-by-step explanation:
When simplifying radical expressions, what combination of factors are you looking for and why?
I need help please?
Answer:
B
Step-by-step explanation:
the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)
Simplify by combining like terms (3x2-5x- 6x)+(5x2+4x+4)
Step-by-step explanation:
I hope this helps. ans:9x+4
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer: im in 100% sure but i think its yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
I used photomath
Shade the fraction circles to represent each mixed number.. 1 3/5 +2 2/5 equals
please i will mark you brill help me
Answer:
2n + 20
Step-by-step explanation:
Plot 7 + 3i in the complex plane.
Answer:
See attached image
Step-by-step explanation:
In the complex plane, the x-axis represents real numbers and the y-axis represents imaginary numbers.
0.5 divided by 0.05 plz show work
Answer:
Step-by-step explanation:
Answer: 10
working below!
A boat travels 187 miles in 10
hours (with a constant speed).
How far can it travel in 14 hours
(with the same speed)?
Answer:
grufhvdyfvgysgddgfvsygujsbchusb
Step-by-step explanation:
I just need brainliest please
Answer:
alright if you give me brianliest on this, when you answer one of my questions ill give you brainliest. brailiest for a brianliest?
Step-by-step explanation:
Answer
Catfishing, In LOl rate 0-10 Im bored
Step-by-step explanation:
m(x)=x(x+6)
p(x)=x(x+3)²-9
Show that m(x) and p(x) are equivalent
Answer:
m=x+6
Step-by-step explanation:
Let's solve for m.
mx=x(x+6)
Step 1: Divide both sides by x.
2x/x= x²+6x/x
m=x+6
Hope this helps :)
PLS BRAINLIEST
the probability that it will rain tomorrow is 0.85what is the probability that it will not rain tomorrow
Answer:
.15
Step-by-step explanation:
Probability of Rain = x
Probabiliy of No Rain = y
Y=1-X
Y=1-0.85
Y=.15
the price of a stereo system is $627.50 the sales tax is 6% find the amount of the tax and the total cost
plz is this correct
?
Answer:
It's 3 and 177.
Step-by-step explanation:
Let the angle be x°. Then its supplementary is 59x°.
We know,
x+ 59x=180
or, x = 3°
and another angle, 59x°= 177°
Bob gets paid an annual salary of $30,000 and earns 5% commission on all sales he makes. If Bob wants to make $6,000 this month, how much in sales does he need to have?
a.
$50,000
b.
$70,000
c.
$90,000
d.
$120,000
Answer:
The answer is 70,000 sales.
Bob gets paid an annual salary of $30,000, which means that monthly he gets:
$30,000 : 12 months = $2,500 per month
x - number of sales
Bob earns 5% commission on all sales he makes: x * 5% = x * 0.05 = 0.05x
The function is:
f(x) = 2,500 + 0.05x
Bob wants to make $6,000 this month: f(x) = 6,000
2500 + 0.05x = 6000
0.05x = 6000 - 2500
0.05x = 3500
x = 3500 : 0.05
x = 70000 sales
Step-by-step explanation:
Sales for the month should amount to $70,000
Annual salary = $30,000
Commission on sales = 5%
To make 6000 in a month :
Monthly salary = $30000 / 12 = $2500
Month earning = $2500 + 5% × (monthly sales)
Month earning = $6000
Let month sales = m
6000 = 2500 + 0.05m
6000 - 2500 = 0.05m
3500 = 0.05m
m = 3500 / 0.05
m = 70,000
Sales for the month should be 70,000
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Tyrone used 15 centimeters of tape to wrap 5 presents. How many presents did Tyrone wrap if he used 42 centimeters of tape? Assume the relationship is directly proportional.
Answer: 14 presents
Step-by-step explanation:
5 presents 42 cm tape
——————I-———————.
15 cm tape 1
= (5x42) /15 = 14 presents
someone please help on this homework question
Answer:
25%, 40 trees, 50%, 36 trees
What does 15+5= 18 +
Answer:
2
Step-by-step explanation:
Answer: 20
Step-by-step explanation: