which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?
Answers
Hi there!
[tex]\large\boxed{\text{Center: (7,2); radius =} \sqrt{10}}}[/tex]
We know that the standard form of the graph of a circle is:
(x - h)² + (y - k)² = r²
Where:
h = x-coordinate of center
k = y-coordinate of center
r = radius
We can identify the following from the given equation:
(x - 7)² ⇒ h = 7
(y - 2)² ⇒ k = 2
r² = 10 ⇒ r = √10
Thus, the correct answer is C.
Answer:
its the third one C
Step-by-step explanation:
just did it
Related Questions
A rectangle has perimeter 20 m . Express the area of the rectangle as a function of the length of ones its side.
Answers
Answer:
A = 10W - W²
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
Area of a rectangle =LW
L is the length
W is the width
Given
Perimeter = 20m
20 = 2 (L+W)
10 = L+W
L = 10 - W ....2
Substitute equation 2 into the formula for calculating the area
Recall that A = LW
A = (10-W)W
A = 10W - W²
Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²
100 points what is a $499.00, $579.00, $364.99 and a $749.00 purchase with 7.5% sales tax
Answers
Answer:
$499.00 - 7.5% tax = $536.43
$579.00 - 7.5% tax = $622.43
$364.99 - 7.5% tax = $392.36
$749.00- 7.5% tax = $805.18
579.00$-622.425$
364.99$-392.364$
749.00$-805.175$
Workup in photo below. Good luck.
12. Find the height of the cone shown below if the volume is 3.6 cubic inches. Round your answer to the nearest tenth.
Answers
Answer:
h = 1.34 inches
Step-by-step explanation:
Given that,
The volume of cone, V = 3.6 cubic inches
Let the radius of cone is, r = 1.6 inches
We need to find the height of the cone. The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h\\\\h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 3.6}{\pi \times 1.6^2}[/tex]
h = 1.34 inches
So, the height of the cone is equal to 1.34 inches.
APR of 0.995%. How much money would a $1000 investment be worth at the end of 5 years
Answers
Answer:
The amount in 5 years will be $1,050.75
Step-by-step explanation:
Here, we want to calculate the worth of the given amount of money in the next 5 years
We use the compound interest formula here;
A = P(1 + r/n)^nt
A is the amount after the given number of years
P is the amount invested which is $1,000
r is the rate which is 0.995% which is 0.995/100 = 0.00995
n is the number of times per year interest is compounded and that is 1
t is the number of years which is 5
substituting these values, we have
A = 1000( 1 + 0.00995/1)^5
A = 1000(1.00995)^5
A = $1,050.75
Find the volume of the cylinder . Round to the nearest tenth. r = 5 cm 5 cm V=[?]cm^ 3
Answers
Answer:
V = 392.70 cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
V = 22/7 * 5² * 5
V = 392.70 cm³
Answer: Acellus uses 3.14 for pi, so 5^2*5*3.14 is 392.5
Step-by-step explanation: 392.5
Help on this question please
Answers
[tex]sin41 = \frac{x}{111} then x = 72.8[/tex]
According to sin rule
[tex] \frac{opposite}{hypotenus} [/tex]
Fill in the blank with the correct response. In the image below, the corresponding angle to angle 1 is angle .
Answers
Answer: Angle 8
Step-by-step explanation: don't know if this is what your looking for
Answer:
-3
Step-by-step explanation:
The symbols <, >, ≤, ≥ are called
equality symbols
inequalities symbols
operational signs
radical signs
Answers
Given:
The symbols [tex]<,>,\leq ,\geq[/tex].
To find:
The correct name for the given group of symbols.
Solution:
We know that,
Equality symbols is [tex]"="[/tex].
Inequalities symbols are [tex]"<,>,\leq ,\geq"[/tex].
Operational signs are [tex]+,-,\times , \div[/tex].
Radical signs is [tex]\sqrt{}[/tex].
It means, the symbols [tex]<,>,\leq ,\geq[/tex] are called inequalities symbols.
Therefore, the correct option is B.
Help me please!!!!!!!!!!!!
Answers
Answer: +9,+5
Step-by-step explanation:
If you created a stack of 15 pennies taped together, do you think the probability of getting a heads on a toss of the stack would be different than for a stack of 10 pennies?
Answers
No it wouldnt becuase if theyre taped together they both will still have a 50 percent chance of landing on heads
Step-by-step explanation:
Ceci can drive 225 miles in 3 hours (Rate - 75)
How many hours does it take her to drive 1,125 miles?
Answers
Answer:
it'll take 15h for her to drive 1125 miles
Step-by-step explanation:
take 225 ÷ 3 then you get how many miles she drives in an hour which is 75
75 × 15 = 1,125
.
(07.06 MC)
Rocky needs at least $32 to buy an amplifying speaker. He already has $17. Which graph best represents all the possible dollar amounts that Rocky can save to buy an amplifying speaker? (5 points)
Number line graph with open circles on 0 and 15 and shading in between.
Number line graph with closed circles on 0 and 15 and shading in between.
Number line graph with closed circle on 15 and shading to the right.
Number line graph with open circle on 15 and shading to the right.
Answers
Number line with closed circle on 15 and shading to the right. That's because 32 - 17 = 15 and since you need at least 15 more dollars the circle would be closed and shading to the right since it's at least meaning 15 or more.
The answer is c i took the test a long time ago
Answer:
C. Number line graph with closed circle on 15 and shading to the right.
Step-by-step explanation:
i took the test
a pizzeria charges eight dollars for a large cheese pizza, plus 2 dollars for each topping. the total cost for a large pizza is given by the equation c equals 2t+8, where t is the number of toppings. what is the slope? what does the slope represent? what is the y-intercept? what does the y-intercept represent? list all 6 ordered for 0-5 toppings.
Answers
Step-by-step explanation:
the slope is 2 (the cost for each topping)
the y-int is 8,, it represents the initial $8 for the pizza
and i dnt understand wht the last sentence is asking for
Please help! Factor the following polynomial:
Answers
Answer:
C is correct
Step-by-step explanation:
100g^2 : 10g x 10g = 100g^2
-9: 3 x -3 = -9
Multiply
(10g + 3) (10g - 3)
100g^2 - 30g + 30g - 9
100g^2 + 0 - 9
Rose writes down all of her math quiz scores. Her math scores are 98,78,84, and 96. What is the mean of her math quiz scores?
Answers
98+78+84+96= 356
Now we will count
there are 4 numbers
= 89
Your mean will be 89
The diameter of a circle is 14 ft. Find its area to the nearest tenth.
Answers
Answer:
The answer is 153.9
Step-by-step explanation:
To get the answer we will first divide 14 by 2 because we are trying to find the area. 14 ÷ 2 = 7. Now multiply 7 x 7 x π, which equals 154.9 rounded to the nearest tenth.
Answer:
153.9 ft.²
Step-by-step explanation:
[tex]A=\pi r^2[/tex] where r is the radius of the circle
The radius is equal to half the diameter, so to find r, divide 14 ft. by 2:
14÷2=7
Plug 7 into the equation as r
[tex]A=\pi (7)^2\\A=\pi (49)\\A=153.9[/tex]
Therefore, the area of the circle is 153.9 ft.² when rounded to the nearest tenth.
I hope this helps!
Write 4x2 = 12 in standard form.
Answers
The standard form of equation 4x2 = 12 is
4x^2=4^3. This is further explained below.
What is 4x2 = 12 in standard form.?Generally, The standard form of decimal numbers has the same definition as whole numbers.
In conclusion, the standard form of 4x2 = 12 is
4x^2=4^3
Read more about Arithmetic
https://brainly.com/question/22568180
#SPJ2
A $60 video game is on sale for 30% off! How much money will you SAVE ?
Answers
Answer:
YOu will save 18 $
Step-by-step explanation:
Answer:
The game would be 42 dollars
Step-by-step explanation:
5
Part 1: The Easter Bunny wanted the children to have an Easter egg hunt on a soccer field,
which has dimensions of 75 yards by 120 yards. To honor the social distancing restrictions,
each egg must be placed 6 feet apart. What is the maximum number of eggs which can be
placed on the field? Hint: Did you notice the measurement units?
Answers
Answer:
13500
Step-by-step explanation:
to answer this question
convert the dimensions of the field to foot find the area of the fielddivide the area by the space of each egg1 yard = 3 foot
75 yards = 75 x 3 = 225
120 yards = 120 x 3 = 360 ft
Area of a rectangle = length x width
225 x 360 = 81,000 ft^2
Maximum number of eggs = Area of the field / space the eggs must be apart
81,000 / 6 = 13,500
Find the Circumference
(I need to know how to show the work too)
Answers
Find the volume of the cone in terms of pi.
405TT cm3
324TT cm3
72TT cm3
Answers
Answer:
324πcm³
Step-by-step explanation:
Volume=⅓πr²h
⅓*π*9²*12
=324πcm³
Ten times the square of a non zero number is equal to fifty times the number.
What is the number?
Answers
Answer:
5
Step-by-step explanation:
10x^2=50x
10x=50
x=5
The students in Elizabeth's grade voted to select a guest speaker. 27 students voted for a
famous athlete. If there are 45 students in Elizabeth's grade, what percentage of the students
voted for the athlete?
Write your answer using a percent sign (%).
Answers
Answer:
60%
Step-by-step explanation:
I made it a fraction. multiplied by 2.22222 (45×2.22222=100) and in the numerator I got 60
HELP PLEASE
What is the volume of the prism? _____ in.3.
Answers
Answer:
V= 18 in^3
Step-by-step explanation:
Volume = length x width x height
V = 2 x 2 and 1/4 x 4
V = 8 x 2 and 1/4
V = 32/4 x 9/4
V = 18 in^3
Answer:
18in^3
Step-by-step explanation:
2in x2 1/4 in x4 in=
2x9/4x4=18in^3
Joseph, Maria and Rebecca each win a prize.
Their total prize money is $30.
Joseph wins 7/12 of the $30.
Maria wins 30% of the $30.
Rebecca wins the rest of the $30.
Calculate the amount each receives.
Answers
Answer:
Joseph: $ 17.5 ; Maria: $ 9 ; Rebecca: $ 3.5Step-by-step explanation:
Joseph: [tex]\frac7{12}\cdot30=\frac72\cdot5=\frac{35}2=\$\,17.5[/tex]
Maria: [tex]30\%\cdot30=0.3\cdot30=\$\,9[/tex]
Rebecca: 30 - 17.5 - 9 = $ 3.5
Select the statement that describes the following expression 6 x (2 + 7) − 9. (4 points)
Group of answer choices
6 times the sum of 2 and 7, then subtract 9
6 times the product of 2 and 7, then add 9
6 times the difference of 2 and 7, then subtract 9
6 times the sum of 2 and 7, then add 9
Answers
Answer:
Add all of them together
Step-by-step explanation:
You have to add the numbers and that gives you the sum
Could someone please help me with this?
A regular child admission ticket to the San Diego Zoo is $52. If you have a special pass, you can get a 20% discount on the original ticket price. What is the discounted amount of the ticket when you use the discount?
Answers
Round
$34.7691 to the nearest cent.
Answers
Answer:
Step-by-step explanation:
y=\ 4\cdot2\ ^{x}\left\{-5\le x\le1.5\right\}
Answers
Answer:
sorry i dont no
Step-by-step explanation:
There are four blood types, and not all are equally likely
to be in blood banks. In a certain blood bank, 49% of
donations are type O blood, 27% of donations are type
A blood, 20% of donations are type B blood, and 4%
of donations are type AB blood. A blood bank wants to
know how many donations will be required, on
average, to achieve at least one of each of the blood
types.
is it appropriate to use the geometric distribution to calculate probabilities in the situation?
Answers
Answer:
D
Step-by-step explanation:
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