What is the diameter of a circle with the equation x2 + y2 - 8x + 2y - 8 = 0?
5 units
6 units
9 units
10 units
Answer:
Diameter is 10 units
Step-by-step explanation:
Convert standard form to general form by completing the square:
[tex]x^2+y^2-8x+2y-8=0[/tex]
[tex]x^2-8x+y^2+2y-8=0[/tex]
[tex]x^2-8x+y^2+2y=8[/tex]
[tex]x^2-8x+16+y^2+2y+1=8+16+1[/tex]
[tex](x-4)^2+(y+1)^2=25[/tex]
[tex](x-4)^2+(y+1)^2=5^2[/tex]
So, since the radius of the circle is 5 units, then the diameter is twice the radius, which is 10 units.
Answer:
50
Step-by-step explanation:
x2 + y2 - 8x + 2y - 8 = 0
first we find the radius with the equation.
write the equation in standard form.
x2 + y2 - 8x + 2y - 8 = 0
(x-4)^2 + (y+1)^2 = 25
(x-h)² + (y-k)² = r²
this means 25 is the radius and the diameter is two times the radius so,
25 x 2 = 50
what is (1+1²×2²).....
Answer:
[tex](1 + {1}^{2} \times {2}^{2} ) = 1 + 1 \times 4 \\ = 1 + 4 \\ = 5[/tex]
[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]
pleaseeeeeeeee help me
Answer:
2⁴ = 16
Step-by-step explanation:
George is going to sing 4 songs in
the school program. In how many
different orders can George sing
each song once?
Answer:
4! or 24
Step-by-step explanation:
4! is 4*3*2*1 which equals 24.
Every single time that he sings a song, he has one less option to pick from.
Hope this helped! :)
Answer:
Greg can sing in 16 different ways to each song once.
Step-by-step explanation:
Jose is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Jose have to choose from?
Answer:
Jose has 36 outfits in total, just multiply all the numbers together
Step-by-step explanation:
Line c has an equation of Y=-5x+3 Parallel to line c is line d which passes through the point (2,-6) what is the equation of line d
Answer:
The equation of line d is
X = -5x + 4
Explanation:
Two lines are parallel when they both have the same slope.
Line c and line d have a common slope of -5.
X = -5x + 4, in particular, passes through the point (2, -6).
Hope this helped. Have an awesome and blessed year!
WILLL MARK BRANILIEST
11 1/12
you have to make the bottom number the same so its 4/12+9/12 which makes 11 1/12
someone please help meeeeee
Answer:
B. (5,0)
Step-by-step explanation:
hope this helps
Answer:
B. (5,0)
Step-by-step explanation:
Place all the coordinates on the graph and then its pretty much self-explanatory after that. you just see which is closest to the subject. which, in this case, was the school.
help me please I'm stuck on this question
Answer:
1 : 3.5
Step-by-step explanation:
8 : 28 = 1 : n
n = 28 * 1 : 8
n = 3.5
1 : 3.5
Write an equation of the line that passes through a pair of points:
(-5-2). (4,5)
a. y=7/9x-17/9
b. y=7/9x-9/17
c. y=7/9x+17/9
d. y=-7/9x +17/9
Answer:
y=7/9x+17/9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-2))/(4-(-5))
m=(5+2)/(4+5)
m=7/9
y-y1=m(x-x1)
y-(-2)=7/9(x-(-5))
y+2=7/9(x+5)
y=7/9x+35/9-2
y=7/9x+35/9-18/9
y=7/9x+17/9
Solve the equation for the variable 49-2/3x=32-1/6x
Answer:
No Solutions
Step-by-step explanation:
I believe it's no solutions. 47/3x can never equal 31/6x. Even if you try to cross multiply it (282x = 9x), you'll see that x must equal to 0.
Therefore, x has no solutions.
Answer:
Can you give the answers please but i think it is 49-2/3 32-1/6 the answer is 27.5
Step-by-step explanation:
If f(x) = x2 – 1, and
g(x) = x + 2, then
g(f(x)) = [ ? ]x2 +[ ]x +[
If the ratio y/x is the same for all related pairs of x and y, what does that mean about the relationship between x and y?
Answer:
The the relationship is linear
Step-by-step explanation:
If y/x is same for all pairs of x and y, slope is a constant value that is not changed by value of x or y. Hence, it is linear function.
Evaluating Expressions with Real Numbers - Item 8069
Which statement best explains why this expression is equal to 1?
0.54 +0.27
0.24 + 0.57
Answer:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. For example 0.54+0.27 and 0.24 +0.57, If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
hope this helps.
At Charles Walters Middle School, 25% of the students live more than 8 miles from school, What fraction of the students live more than 8 miles from school? Write your answer as a fraction in simplest form. ?
Answer:
1/4
Step-by-step explanation:
0.25 = 1/4
Answer:
1/4
Step-by-step explanation:
25% is 25/100. 25/100 simplified is 1/4.
How to solve this problem
Answer:
Step-by-step explanation:
which shape has 2 parallel sides ready
Answer:
You have two sets of parallel sides. A square has two sets of parallel sides, and it has the extra condition that all of the angles are right angles. So a square is definitely going to be a rhombus. Now, all rhombuses have four sides.
Step-by-step explanation:
Answer:
A Parallelogram
Step-by-step explanation:
expand the function f(x)=(x+5)^3
The function f(x) = (x + 5)³ when expanded is f(x) = x³ + 15x² + 75x + 125
How to expand the function?The function in the equation is given as
f(x) = (x+5)^3
Rewrite this function properly
So, we have the following representation
f(x) = (x + 5)³
Solving further, we need to expand the expression into factors
So, we have the following representation
f(x) = (x + 5)(x + 5)(x + 5)
Next, we expand the first two brackets in the equation
This gives
f(x) = (x² + 5x + 5x + 25)(x + 5)
Evaluate the like terms
This gives
f(x) = (x² + 10x + 25)(x + 5)
Solving further, we need to expand the last two brackets
So, we have the following representation
f(x) = (x³ + 5x² + 10x² + 50x + 25x + 125)
Evaluate the like terms
This gives
f(x) = (x³ + 15x² + 75x + 125)
Remove the brackets
So, we have
f(x) = x³ + 15x² + 75x + 125
Hence, the function is f(x) = x³ + 15x² + 75x + 125
Read more about functions at
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Which 2 colours are the ones for this?
Answer:
Step-by-step explanation:
red and green
you know this because the red line has an X intercept at 1.5,0 which can be seen on the graph, as well as a Y intercept of 0,-3 which means that 2x-3 is represented by the red line
the green line passes through 0.8, 0 for its x intercept and 4,0 for its y intercept which is also seen on the graph by the green line.
to prove this, set each equation equal to zero and solve-
so 2x-3=0
2x=3
x=1.5
4-5x=0
-5x=-4
x=0.8
also the whole number in each equation (-3 and the 4) are y intercepts since when x is zero they are themselves
7x+27x+2 from -5x^2-2x
ADDING AND SUBTRACTING POLYNOMIALS
Answer:
7x+27x=34x
34x+2-(-5×^2)-2x
34x+2+5x^2-2x
34x+2x=36x
36x+2+5x^2
NO LINKS!!!!!
Describe the x-values for which (a) f is increasing or decreasing, (b) f(x)>0 and (c) f(x) < 0.
a. The function is increasing when _______ and __________ and decreasing when
__ < x < __.
b. The function is greater than zero when _______.
c. The function is less than zero when
___ < x < ____ and _____
A: . The function is increasing when X<-1 and x>1 and decreasing when
-1 < x < 1.
B:The function is greater than zero when x>2
C: The function is less than zero when
-1 < x < 2 and X<-1
Consider continuous functions f, g, h, and k. Then complete the statements.
The function that has the least minimum value is function (options) F, H, G, K
The function that has the greatest minimum value is function (options) F, H, G, K
.
It wouldn't let me post the answer. See images for the answer and explanation
The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.
What are the minimum values of the functions?Given:
Consider continuous functions f, g, h, and k.A graph is given in the attached image.Find:
The function that has the least minimum value is function.the function that has the greatest minimum value is function.Solution:
From the question, we get;
[tex]h(x) = 2(x-1)^{2}[/tex]
⇒ h(x)min = 0
⇒ g(x)min = -5
⇒ f(x)min = -7
⇒ k(x)min = 7
So, f(x)min < g(x)min < h(x)min < k(x)min
Therefore, The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.
To learn more about the minimum of functions, refer to:
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What is 0.25 as a percentage
Answer:
25% that is ur answer
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Have a great day or night!
Which statements best describe an effective claim in an argumentative essay? Select two options. It is precise and clear. It is debatable but cannot be refuted. It is emotional and states an opinion. It states a bias using clear language. It states a fact using precise language
The statements which best describe an effective claim in an argumentative essay are:
A. It is precise and clear.
E. It states a fact using precise language.
An argumentative essay can be defined as a literary work which comprises an expression of a writer's stance (position) on a specific topic or subject matter.
A claim refers to a statement that is used by a writer to prove, substantiate or support an argument. Thus, it is an assertive statement expressed by a writer to prove that an argument is true, factual, and real.
In this context, the main function of an effective claim in an argument is simply to precisely and clearly state a fact based on a writer's opinion.
In conclusion, the following statements which best describe an effective claim in an argumentative essay are:
It is precise and clear.It states a fact using precise language.It is debatable but can't be refuted because it is based on factual and logical reasoning.Read more on argumentative essays here: https://brainly.com/question/11617771
Answer:
Its A and B
Step-by-step explanation
Able Johnson wants to buy a whole life policy with a face value of $250,000. He is 40 years old, and the premium fee for his age is $19.50 per
$1,000 unit of face value. What is his annual premium?
Answer:
19.65 cnets
Step-by-step explanation:
Math Practices and Problem Solving
13. Algebra In the first 3 months of the year,
an electronics store sold 1,446 cameras.
How many cameras did the store sell in March?
Write and solve an equation.
The store sold 482 cameras in the month of March.
An equation is an expression that shows the relationship between two or more variables and numbers.
Assuming that the same number of camera is sold each month. Let x represent the amount of camera sold in March.
Since the electronics store sold 1,446 cameras in the first 3 months, hence:
3x = 1446
x = 482 cameras
The store sold 482 cameras in the month of March.
Find out more on equation at: https://brainly.com/question/2972832
Talon read 30 pages last night in 20 minutes. If Drake read twice as fast, what was Drake's reading speed?
Answer:
3m/s
Step-by-step explanation:
s=v/ts=60/20s=3m/sUsing powers of 10, which would be the best choice for the first number to subtract in the division problem 14,941 ÷ 98?
Answer:
0.152
Step-by-step explanation:
A 3-gallon bottle of fabric softener costs $51.36. What is the price per cup?
Answer:
$1.07
Step-by-step explanation:
16 cups per gallon
16*3=48cups
51.36/48=1.07
(X+2b)(x-4b) simplified
Answer:
I will ASSUME X = x
x² + 2bx - 4bx - 8b²
x² - 2bx - 8b²
Answer:
[tex]\\\\\\-8b^2-2bx+x^2[/tex]
Step-by-step explanation:
[tex](x+2b)(x-4b)\\=(x+2b)(x+(-4b)\\=(x)(x)+(x)(-4b)+(2b)(x)+(2b)(-4b)\\\\x^2-4bx+2bx-8b^2\\\\-8b^2-2bx+x^2[/tex]