Answers
Answer:
center of the circle is (5, -3) and radius of the circle is 8 units
Step-by-step explanation:
Find the center of the circle given by this equation:
x²-10x+y²+6y-30=0
for x
b= -10
for y
b=+6
complete the square
for x
(-10/2)² = 25
for y
(6/2)²=9
x²-10x+25
y²+6y+9
(x²-10x+25)+(y²+6y+9)+30=0+25+9
(x²-10x+25)+(y²+6y+9)=25+9+30
(x-5)²+(y+3)²=64
This is the form of a circle. Use this form to determine the center and radius of the circle
(x − h)² + (y − k)² = r²
Circle Equation
(x-a)² + (y−b) ² = r² is the circle equation with a radius r, centered at (a, b)
Rewrite x² - 10x + y² + 6y - 30 = 0 in the form of the standard circle equation
(x − h)² + (y − k)² = r²
(x - 5)² + (y-(-3))² = 8²
(x-5)² + (y+3)² = 8²
r=8
h=5
k=-3
signs of h and k are opposite of what they are inside the parenthesis
Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x- offset from the origin, and k represents the y-offset from origin.
r=8
h=5
k=-3
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help me to solve this problem
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Answer:
(More than an hour) Three times as many
(Less than an hour) Two times as many
Step-by-step explanation:
what is the answer to In 3/4 of an hour Ryan codes 3/5 of his game. At this rate, how much of the game can he code in 1 hour?
Answers
Answer:
4/5 of game
Step-by-step explanation:
Rate = 3/5 g / (3/4 hr) = 12/15 = 4/5 game per hour
whats the biggest ten you can multiply by 3 but dont go over 42
Answers
Answer:
14
Step-by-step explanation:
3x14=42 it dosen't go over 42
Answer: 14
Step-by-step explanation:
3,6,9,12,15,18,21,24,27,30,33,36,39,42
3x14=42
paragraph explaining how the volume of a sphere in real world and mathmatical problems
Answers
Answer:
We can find the volume of a sphere using the volume of a cylinder. Cylinder is a solid which has a circular base. We know the fact that the volume of any solid is equal to the product of base area and height of the solid. So, the volume of a right circular cylinder of base radius ‘r’ and height ‘h’ is given by
Step-by-step explanation:
PLEASE HELP ASAP
NEEP HELP
Answers
Answer:
x = 14
Step-by-step explanation:
We have alternate interior angles that are congruent.
[tex]5x + 5 = 4x + 19[/tex]
[tex]x = 14[/tex]
PLS HELP FAST !!!
The chart below shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number
Answers
Using proportions, it is found that if the theater owner asked 100 people, 47 would prefer Drama.
What is a proportion?A proportion is a fraction of a total amount.
From the table, out of the 7 + 18 + 7 + 6 = 38 people surveyed, 18 prefered drama. Hence the proportion is given by:
p = 18/38 = 0.47.
Out of 100 people, the amount would be given by:
A = 0.47 x 100 = 47.
More can be learned about proportions at https://brainly.com/question/24372153
A triangle has sides with lengths of 51 miles,68 miles and 85 miles. Is it a right triangle.?
Answers
Answer: YES
Step-by-step explanation: It is
The population of a city is modeled with the function P = 250,000e^0. 013t, where t is the number of years since 2000. In what year will the population reach 450,000
Answers
[tex]P=250000e^{0.013t}\implies \stackrel{P}{450000}=250000e^{0.013t}\implies \cfrac{450000}{250000}=e^{0.013t} \\\\\\ \cfrac{9}{5}=e^{0.013t}\implies \log_e\left( \cfrac{9}{5} \right)=\log_e(e^{0.013t})\implies \ln\left( \cfrac{9}{5} \right)=0.013t \\\\\\ \cfrac{\ln\left( \frac{9}{5} \right)}{0.013}=t\implies 45.21\approx t\qquad \textit{about 45 years, 2 months and a half}[/tex]
The diameter of a circle is 5 cm. Find its area to the nearest whole number.
Answers
Answer:
79cm
Step-by-step explanation:
Area of a circle = πr^2
Plug in r: π(5)^2 = 79cm
18t
What is the value of t?
12t
15t
Answers
An art gallery wants to display 4 pieces of art in the front window. If there are 8 pieces to choose from, how many distinct displays are
possible?
A. 40,320
B. 10,080
OC. 1,680
D. 70
Answers
Answer: 70
Step-by-step explanation:
you would do 8C4
If there are 8 pieces to choose from, there are 1,680 different ways distinct displays are possible.
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
To find the Ways can 8 pieces of art in the front window be arranged in the display window.
Let us use permutation to find the number of ways can 8 pieces of art in the front window be arranged in the display window.
here we have
n= 8
r= 4
substituting the values,
[tex]^nC_r = \dfrac{n!}{ (n-r)!}\\\\^8C_4 = \dfrac{8!}{ (8-4)!}\\\\^8C_4 = \dfrac{8!}{ (4)!}\\\\^8C_4 = 8 \times 7 \times 6\times 5\\\\^8C_4 =1680[/tex]
Learn more about combinations and permutations here:
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Give me an example of how you would solve 1+1 in the worst way possible
Answers
Answer:
add 20 subtract 20 multiply by 3 divide by 3 add 1
find the area of the composite figure
Answers
Answer:
84 square inches
Step-by-step explanation:
Find the quotient of 2/5 and 4/5
Answers
Answer:
10/20 or 1/2
Step-by-step explanation:
Heres a picture to explain:
Find the sum. 5/2x + 4/3y
A. 9/2x + 3y
B. 15y + 8x/6xy
C. 23xy/6xy
D. 3/2xy
Answers
Answer:
B
Step-by-step explanation:
[tex]\dfrac{5}{2x} + \dfrac{4}{3y}=\dfrac{15y+8x}{6xy}[/tex]
(2a-16)+(3a+18)=17 what is a?
Answers
Hope this is the right answer .
Factor 9p² +6p-8
Step 1: multiply a x c and write the new equation
Step 2: Divide by "a" and simplify the fractions. Write the new equation n factored form.
Step 3: Bottoms up and write the new equivalent equation in factored form.
Answers
multiply the 9 to the back (8) to get
p^2 + 6p + 72
To get to (p +- _) (p+-_) form you must find out what 2 numbers add or subtract to get 6 and multiply to be 72.
These numbers are 12 and 6.
The factored form would be (p+12)(p-6)
if a=3,b=−1 and c= −2,3ac-4c²/ 5ab
Answers
Step-by-step explanation:
Given expression,
[tex]\\ \longrightarrow \qquad \sf \frac{3ac-4c²}{ 5ab} \\ \\ [/tex]
Now, when a = 3, b = -1 and c = -2 we get,
[tex]\\ \longrightarrow \qquad \sf \frac{3.3.( - 2)-4. {( - 2)}^{2} }{ 5.3.( - 1)} \\ \\ [/tex]
[tex] \longrightarrow \qquad \sf \frac{3.( - 6)-4. 4 }{ 5.( - 3)} \\ \\ [/tex]
[tex]\longrightarrow \qquad \sf \frac{ - 18-16 }{ - 15} \\ \\ [/tex]
[tex]\longrightarrow \qquad \sf \frac{ - 34 }{ - 15} \\ \\ [/tex]
[tex]\longrightarrow \qquad \sf \frac{ 34 }{ 15} \\ \\ [/tex]
Find the nth term of this number sequence
7, 10, 13, 16, ...
help please !!
Answers
Answer:
[tex]a_{n}[/tex] = 3n + 4
Step-by-step explanation:
there is a common difference between consecutive terms , that is
10 - 7 = 13 - 10 = 16 - 13 = 3
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 3 , then
[tex]a_{n}[/tex] = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4
Answer:
The nth term = 3n + 4.
Step-by-step explanation:
The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d.
So this breaks down simply to,
a(n) = dn + a(1) - d a(n) = 3n + 7 - 3 a(n) = 3n + 4
Suppose that 19 inches of wire costs 76 cents. At the same rate, how much (in cents) will 14 inches of wire cost?
Answers
Answer:
10.64
Step-by-step explanation:
1 inch cost 76/19
14 inch cost 76*46/19= 56 cents
Therefore, 56 cents will needed to buy 14 inches of wire cost
A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.
What is the constant speed of Fast Freddy?
What is the constant speed of Speedy Sam?
Who ran faster?
Answers
Using linear function concepts, it is found that:
The constant speed of Fast Freddy is of 0.25 miles per minute.The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For Fast Freedy, we have that he run one mile in four minutes, hence the slope is given by:
mF = 1/4 = 0.25 miles per minute.
The constant speed of Fast Freddy is of 0.25 miles per minute.
For Speedy Sam, when the the time changes by 16 minutes, the distance changes by 2, hence his slope is given by:
mS = 2/16 = 1/8 = 0.125 miles per minute.
The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.
More can be learned about linear function concepts at https://brainly.com/question/24808124
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Answer:
1/4 1/8 and Freddy was faster
Step-by-step explanation:
LEMON SQUASH
1 part concentrate
to 2 parts water
If you put 140 ml of water in a glass,
how much concentrate should be added?
Answers
??:140
140 divide by 2 = 70
1 part = 70
Concentrate:water = 1:2
70ml:140ml
Which values are the solutions to the polynomial equation?
0 = x2 – 18x + 65
Answers
Answer:
If the question is [tex]2x^{2} -18x+65[/tex] then the answer is no real solution. If the question is 2x - 18x + 65 than the answer is -16x+65
Answer:
x = 13, 5
Step-by-step explanation:
x² - 18x + 65 = 0
step 1: multiply (1) and (65) together
step 2: find two negative numbers to add together to equal -18 but multiply together to equal 65.
step 3: since there isn't a number in front of x² you could:
(x - 13) (x - 5)
x - 13 = 0 x - 5 = 0
+13 +13 +5 +5
x = 13 x = 5
or
(x² - 13x) (-5x + 65)
x(x - 13) -5 (x - 13)
(x - 13) (x - 5)
x - 13 = 0 x - 5 = 0
+13 +13 +5 +5
x = 13, 5
I hope this helps!
Which expression is a factor of 21x2 + 13x – 20?
A 3x – 4
B 72 - 5
C 7x +4
D 30 + 5
Answers
Answer: A
Step-by-step explanation:
This seems to be the only applicable answer
The speedometer on Leona's car
ws the speed in both miles per
and kilometers per hour. Using
the mile per hour rate that is
valent to 40 kilometers per hour.
Answers
Answer: 24.86miles/hr
Step-by-step explanation: Divide the speed by 1.609 to convert
How do you find the answer for surface area?
Answers
Answer:
720 m²
Step-by-step explanation:
The surface area of the prism is the sum of the areas of its 5 surfaces.
Area of triangle= ½ ×base ×height
Area of front face
= ½(6)(8)
= 24 m²
Area of back face= 24 m²
Area of rectangle= length ×breadth
Area of base
= 8(28)
= 224 m²
Area of right surface
= 10(28)
= 280 m²
Area of left surface
= 6(28)
= 168 m²
Total surface area
= 24 +24 +224 +280 +168
= 720 m²
Just need the answer fast pls help
Answers
Answer:
121/49 a^8 b^2
Step-by-step explanation:
the answer is the last option
(DOUBLE POINTS) Find x.
Answers
Answer: 15 and 26
Step-by-step explanation:
Please help!!!!!!!! How do I type?
Answers
Answer:
Keyboard fam
Step-by-step explanation:
Answer:
You press the buttons in the keyboard.
Step-by-step explanation:
hope it helps
sorry if I'm wrong
lol
2. Select the two graphs with a negative slope.
Answers
Answer:
2nd one on the top row
last one on the bottom row
(left to right)
Step-by-step explanation:
the negative slopes are the lines that go down towards the right side
so that would be the second one on the top row and the last one on the bottow row