Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (a, b) and r = m , thus
(x - a)² + (y - b)² = m² ← in standard form
Expand the factors using FOIL and rearrange
x² - 2ax + a² + y² - 2by + b² = m² ( subtract m² from both sides )
x² + y² - 2ax - 2by + (a² + b² - m² ) = 0 ← in general form → A
Answer:
It's option A for plato
Step-by-step explanation:
A. x^2 + y^2 − 2ax − 2by + (a^2 + b^2 − m^2) = 0
Find the values of x and y.
Answer:
[tex] \boxed{x = 15,y = 17} [/tex]
Step-by-step explanation:
[tex]Vertically \: opposite \: angles \: area \: equal \\ \\ So, \\ \\ = > 7x \degree + 7\degree = 112\degree \\ \\ = > 7x\degree = 112\degree - 7\degree \\ \\ = > 7x\degree = 105\degree \\ \\ = > x\degree = \frac{105}{7} \degree \\ \\ = > x\degree = 15\degree \\ \\ \\ \\ Supplementary \: angles \: add \: up \: to \: 180 \degree \\ \\ So, \\ \\ = >4y\degree + 112\degree = 180\degree \\ \\ = > 4y\degree = 180\degree - 112\degree \\ \\ = > 4y\degree = 68\degree \\ \\ = > y \degree= \frac{68}{4} \degree \\ \\ = > y\degree = 17\degree[/tex]
Find the values of x and y.
Step-by-step explanation:
C : x = 17,y = 15
Factor the trinomial by grouping.
9x^3 - 3x^2 -30x
Answer:
3x(3x+5)(x-2)
Step-by-step explanation:
[tex]9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)[/tex]
Hope this helps!
Direct Variation: If y = 12, when x = 4, find y when x = 20. a.40 b.48 c.12 d.60
Answer:
d
Step-by-step explanation:
Given the x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = 4, that is
12 = 4k ( divide both sides by 4 )
3 = k
y = 3k ← equation of variation
When x = 20 , then
y = 3 × 20 = 60 → d
the line passing through point (2, 4), parallel to the line whose equation is y = x
Answer:
y = x + 2
Step-by-step explanation:
slope = 1
y = mx + b
4 = 1(2) + b
2 = b
y = x + 2
Find the slope of the line y
The outside temperature at a place is - 20 degree Celsius and it drops 5 degrees every hour.How long it will take to reach the temperature zero degree Celsius?
Answer:
4 hours
Step-by-step explanation:
20-5x=0
5x= 20
x=4 hours
Two statements are given-one labeled Assertion (A) and the other labeled Reason(R). Select the correct answer to these questions from the codes (i), (ii), (iii) and (iv) as given below i) Both A and R are true and R is the correct explanation of the assertion ii) Both A and R are true and R is not the correct explanation of the assertion iii) A is true but R is false iv) A is false but R is true Assertion: Calcium oxide reacts vigorously with water to produce calcium hydroxide, releasing a large amount of heat. Reason: The above reaction is a combination reaction as it gives only a single product.
Answer: i) Both A and R are true and R is the correct explanation of the assertion
Step-by-step explanation:
When Calcium Oxide (Quick lime) reacts with water, it is a very rigorous reaction that produces a lot of heat and may even boil the water or burn the skin if it comes into contact with it. The resulting compound is Calcium Hydroxide. The Assertion is therefore true.
A Combination reaction does indeed result in only a single product being created or formed after a reaction. The above reaction is indeed a Combination reaction due to the production of only one Compound being Calcium Hydroxide.
solve for x
8x+6=10 please help me ASAP
Answer:
0.5
Step-by-step explanation:
8x+6=10
8x=10-6
8x=4
x=4/8=0.5
Choose the kind(s) of symmetry: point, line, plane, or none.
(A)
none
plane
point
line
it would be a Line
The line would be vertical right through the middle
can i get brainliest?
A drawing has a scale of 1:40.
On the drawing, a bedroom is a rectangle measuring 10cm by 18cm.
A kitchen has an actual area of 300,000cm^2.
Which has the bigger area? Show working out.
Answer:
area of the kitchen
Step-by-step explanation:
in real life the dimensions are 10*40=400 cm=4 m and 18*40=720 cm=7.2 m
Area of the bedroom is A=4*7.2=28.8 m^2
Area of the kitchen is 300.000 cm^2=30 m^2
30>28.8
The bigger area is area of the kitchen
The bigger area between bedroom and kitchen is kitchen which is 30 m^2
What is area?Area can be find of l length and b breadth sides is
Area = l b
How to find area?Here the scale of bedroom is given that is 1 : 40
If bedroom is rectangle and measuring 10 cm and 18 cm then dimensions are
l = 10x40 = 400 cm = 4 m
b = 18x40 = 720 cm = 7.2 m
Therefore the area will be
Area of bedroom = 4x7.2 = 28.8 m^2
And we have given
Area of the kitchen = 300,000 cm^2
Convert into m^2 we have
Area of the kitchen = 30 m^2
This shows the area of the kitchen is bigger than the area of the bedroom
This is the conclusion to the answer.
Learn more about area here-
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What is the decimal equivalent of the fraction 8/10
Answer:
0.8
Step-by-step explanation:
The fraction 8/10 is 0.8 as a decimal because you divide 8 by 10.
The decimal equivalent of 8/10 is equal to 0.8
What is a decimal number?A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.
Given here: The proper fraction is given as 8/10
All fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.
Thus we have 8/10=4/5
=0.8
Hence, the decimal equivalent of 8/10 is equal to 0.8
Learn more about fractions here:
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There are 48 cans of soup on a crate. A supermarket has a delivery of 110 crates for £1980 and sells a can for 41p. How much profit does the supermarket make on the delivery?
Answer:
I would love to help but i dont know pounds so i will try to help in dollars then convert into pounds
lol :) just wait
Step-by-step explanation:
???? Answer please anyone
Answer:
The answer is 4 3/4
The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the animals. The cost of the tour was $5.25 per vehicle plus an additional amount for each person in the vehicle. The Skubic family had 7 people in their vehicle and paid $22.75. If the Shaw family had 3 people in their vehicle, how much did they pay?
Answer:
$12.75
Step-by-step explanation:
Skubic Family-
22.75 = 5.25 + 7x
17.5 = 7x
2.5 = x
Therefore the cost for each person is equal to $2.5
Shaw Family-
2.5(3) + 5.25
7.5 + 5.25 = $12.75
Answer:
$12.75 is answer c
Step-by-step explanation:
Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)
A) Determine the exact value of the area of Triangle ABC.
B) Determine the perimeter of Triangle ABC to the nearest tenth.
Answer:
a). Area = 54 square units
b). Perimeter = 33.7 units
Step-by-step explanation:
Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).
(a). Area of the triangle ABC = [tex]\frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})][/tex] (Absolute value)
By substituting the values from the given vertices,
Area = [tex]\frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)][/tex]
= [tex]\frac{1}{2}[-36+0-72][/tex]
= [tex]\frac{1}{2}(-108)[/tex]
= (-54) unit²
Therefore, absolute value of the area = 54 square units
(b). Distance between two vertices (a, b) and (c, d)
d = [tex]\sqrt{(a-c)^{2}+(b-d)^2}[/tex]
AB = [tex]\sqrt{(-4-1)^{2}+(-2-7)^{2}}[/tex]
= [tex]\sqrt{106}[/tex]
= 10.295 units
BC = [tex]\sqrt{(1-8)^2+(7+2)^2}[/tex]
= [tex]\sqrt{130}[/tex]
= 11.402 units
AC = [tex]\sqrt{(-4-8)^2+(-2+2)^2}[/tex]
= 12 units
Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12
= 33.697
≈ 33.7 units
Is it possible to form a triangle with
side lengths 5, 3, and 5 units?
Answer:
Yes
Step-by-step explanation:
Isosceles triangle with base of 3 units and sides of 5 units
Answer:
yes
Step-by-step explanation:
use a+b > c, a+c > b, and b+c > a if two sides are bigger than one side for every combination then you can form a triangle
I WILL MARK CORRECT AS BRAINLIEST THIS IS URGENT! NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
20 POINTS EVERYONE!
Answer:
A
Step-by-step explanation:
simplify a^3 x b x a^3 x b
Answer:
[tex] {a}^{6} {b}^{2} [/tex]
solution
[tex] {a}^{3} \times b \times {a}^{3} \times b \\ = {a}^{3 + 3} \times {b}^{1 + 1} \\ = {a}^{6} {b}^{2} [/tex]
hope this helps...
Good luck on your assignment..
Answer:
[tex]a^{6}b^{2}[/tex]
Step-by-step explanation:
[tex]a^3 \times b \times a^3 \times b[/tex]
If there are no exponents written, then the exponent is 1.
[tex]a^3 \times b^1 \times a^3 \times b^1[/tex]
When multiplying two powers that have the same base, you can add the exponents.
[tex]a^{3+3} \times b^{1+1}[/tex]
[tex]a^{6} \times b^{2}[/tex]
A file that is 246 megabytes is being downloaded. If the download is 12.5% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
Answer:
30.8
Step-by-step explanation:
We can mutiply 246 by 0.125 to get the answer.
246 * 0.125 = 30.75 = 30.8
Answer:
30.8 megabytes
Step-by-step explanation:
We know that 12.5% of the 246 megabytes have been downloaded.
Of, means multiply. Therefore, we must multiply 12.5% and 246.
12.5%*246
Convert 12.5% to a decimal. Divide 12.5 by 100, or move the decimal place two spots to the left.
12.5/100=0.125
12.5–> 1.25 —> 0.125
0.125*246
Multiply
30.75
We need to round to the nearest tenth. The 5 in the hundredth place indicates that we must round the 7 in the tenth place up to a 8.
30.8
30.8 megabytes have been downloaded.
5x 2 + 15x=0 is a quadratic equation.
True
False
Answer:
True
Step-by-step explanation:
Given the coordinates of (5,2) and (-1,2), the distance is:
A) 6
B)None of the choices are
correct.
C) 16
D) 50
Answer:
A) 6
Step-by-step explanation:
[tex]\sqrt{(5 - (-1))^{2} + (2-2)^{2} } = \sqrt{36} = 6[/tex]
Can someone explain me how to find square root by prime factorization ?
Answer:
STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.ExampleFind the square root of 324
324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18What is the perimeter P of △DEF to the nearest whole number?
A triangle DEF. The length of DF is 10. The base angle E is 49 degrees and F is 42 degrees.
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
[tex]\frac{sin E}{e} = \frac{sin F}{f}[/tex]
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 42}{f}[/tex]
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
[tex]\frac{sin E}{e} = \frac{sin D}{d}[/tex]
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 89}{d}[/tex]
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
plz help!!! marking brainiest!!
Answer the following Questions
Which of the following points lie on the x-axis?
A(1, 1), B (1.0). c (0,1)D (0,0), E (-1,0), F (0-1), G (4,0), H (0,7)
Answer:
B, D, E and G lies on X axis
Please answer I need help no rush.
Answer:
12 divided by -6
Step-by-step explanation:
12÷(-6) (3) + (-2)
PEMDAS
P There are no operations inside the parentheses
E There are no exponents
MD Multiply and divide from left to right
12 divided by -6 is the first from left to right
Which polynomial represents the sum below?
3x2 + 4x +3
3x2 +6x
+
O A. 6x2 + 24x+3
O B. 9x2 + 24x+3
O C. 9x2 + 10x+ 3
O D. 6x2 + 10x+3
Answer:
D
Step-by-step explanation:
A town's population is 33.950. About 100 people move out of the town cach month. Each month, 125 people on average move into town. A nearby
town has a population of 35,700. It has no one moving in and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Pick the correct equation to model the situation. Then solve the equation and answer the question,
A. 125m-100m+35,700-33,950-150m
B. 125m-100m+33,950-35,700-150m
C. 125m+100m+35,700-33,950+150m
D. 125m+100m+33,950-35,700+150m
The correct equation is choice letter
months
The towns will have equal populations in about
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'm' be the number of months and 'y' be the population. Then the equations are given as,
y = (125 - 100) m + 33,950
y = 25m + 33950 ...1
y = 150m + 35700 ...2
From equations 1 and 2, then we have
150m + 35700 = (125 - 100) m + 33950
125m - 100m + 33950 - 35700 - 150m = 0
175m = 1750
m = 10 months
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
More about the linear equation link is given below.
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what is the mean of this set {6,7,9,9,9}
Answer:
8
Step-by-step explanation:
To find the mean, or average of a data set, add all the values together, then divide by the number of values.
The data set is: 6,7,9,9,9
1. Add all the values
Add 6,7,9,9 and 9
6+7+9+9+9
40
2. Divide by the number of values
Count how many numbers are in the data set. In this case, there are 5 numbers.
Divide 40 by 5.
40/5
8
The mean of the data set is 8.
Steps:
Mean x: 8
Median x: 9
Mode: 9
Range: 3
Minimum: 6
Maximum: 9
Count: 5
Sum: 40
1: 6+7+9+9+9
2: =40
3: 40 divided by 5
4: = 8
Description:
The mean for this set is 8. We know this because when we add all the numbers = 40 then divided it by 5 = 8.
5 is the total numbers there
Please mark brainliest
Hope this helps.
Boa tarde gentiii Abaixo aparecem quatro sequências. Defina cada uma delas como RECURSIVA ou NÃO RECURSIVA. a) (5, 7, 9, 11, 13, 15, 17, 19, ...) b) (1, 4, 9, 16, 25, 36, 49, 64, ...) c) (1, 8, 27, 64, ...) d) (2, 5, 8, 11, 14, 17, ...)
Answer:
a) (5, 7, 9, 11, 13, 15, 17, 19, ...) Recursivo
b) (1, 4, 9, 16, 25, 36, 49, 64, ...) Recursivo
c) (1, 8, 27, 64, ...) Recursivo
d) (2, 5, 8, 11, 14, 17, ...) Recursivo
Step-by-step explanation:
Uma função recursiva é aquela em que os termos subsequentes da função são calculados com base nos termos anteriores
O comportamento recursivo é exibido pelos objetos quando consiste em seguir as partes;
1) Uma base que é predefinida
2) Um processo ou etapa recursiva que produz termos subsequentes pela aplicação de certos processos
Para a série;
a) (5, 7, 9, 11, 13, 15, 17, 19, ...)
Aqui 5 é a base e os termos subsequentes são encontrados adicionando 2 ao termo anterior, portanto, é uma função recursiva
aₙ = aₙ₋₁ + 2
b) (1, 4, 9, 16, 25, 36, 49, 64, ...)
Aqui 1 é a base e os termos subsequentes são encontrados ao quadrado da soma da raiz do termo anterior e 1, portanto, é uma função recursiva
aₙ = (√ (aₙ₋₁) + 1) ²
c) (1, 8, 27, 64, ...)
Aqui 1 é a base e os termos subsequentes são encontrados elevando à potência de três a soma da raiz cúbica do termo anterior e 1, portanto, é uma função recursiva
aₙ = (∛ (aₙ₋₁) + 1) ³
d) (2, 5, 8, 11, 14, 17, ...)
Aqui 2 é a base e os termos subsequentes são encontrados adicionando 3 ao termo anterior, portanto, é uma função recursiva.
