Answer:
(x+3)^2+(y+1)^2=25
Step-by-step explanation:
the distance of the center and the point is the radius of the circle
distance=(4^2+3^2)^(1/2)=5
(x+3)^2+(y+1)^2=25
What is the simplified form of the expression?
(3x^2+5x-8)+(5x^2-13x-5)
= 3x^2 + 5x^2 = 8x^2
5x - 13x = -8x
-8 + -5 = -13
=> 8x^2 - 8x - 13
: B
Answer:
8x2 − 8x − 13
Step-by-step explanation:
(((3•(x2))+5x)-8)+((5x2-13x)-5)
((3x2 + 5x) - 8) + (5x2 - 13x - 5)
Factoring 8x2-8x-13
The first term is, 8x2 its coefficient is 8 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -13
Step-1 : Multiply the coefficient of the first term by the constant 8 • -13 = -104
Step-2 : Find two factors of -104 whose sum equals the coefficient of the middle term, which is -8 .
-104 + 1 = -103
-52 + 2 = -50
-26 + 4 = -22
-13 + 8 = -5
-8 + 13 = 5
-4 + 26 = 22
-2 + 52 = 50
-1 + 104 = 103
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
8x2 - 8x - 13 ✅
Two lines are guaranteed to be coplanar if they?
Answer:
If they lie in the same plane
Which graph represents a function? answerr FASTTTT PLZZZ
Answer:
graph 1 is the function.
Can the polynomial in the numerator of the expression x^2-5x+7/x-9 be factored to derive (x − 9) as a factor
Answer:
Step-by-step explanation:
We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:
9 | 1 -5 7
____________
First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:
9 | 1 -5 7
______9____
1
Now add down the column to get:
9 | 1 -5 7
_____9____
1 4
Now multiply 4 by 9 and put that product up under the 7:
9 | 1 -5 7
______9__36
1 4
Now add to see what the remainder is:
9 | 1 -5 7
_______9_36
1 4 R43
we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.
So the answer is No.
You deposit $1000 in an account that pays 4 1/2% annual interest compounded monthly. How much will you have in the bank after 9 years
Answer:
1498.17
Step-by-step explanation:
formula A = P[tex](1 + \frac{r}{100} )^{n}[/tex] where r is the rate of interest compounded and n is the number of times compounded.
r = 4.5 / 12 = 0.375 since it is compounded monthly thus need to divide by 12 months
n = 9 x 12 = 108 ( 9 years in months)
A = 1000[tex](1 + \frac{0.375}{100})^{108}[/tex] = 1498.167
Answer:
Step-by-step explanation:
A = I(1+r/n)^nt
A = ?
I = $1000
r = 4.5% = 4.5/100 = 0.045
n = 12
t = 9
A = 1000(1+0.045/12)^108
A = 1000(1.00375)^108
A = $1498.17
Which is equivalent to One-fourth x? StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction x StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction StartFraction 1 over 8 EndFraction + StartFraction 1 over 8 EndFraction One-half x + one-half x
Answer:Its A
Step-by-step explanation:
Its A because its right believe me
equivalent to One-fourth x is One-half x + one-half x; equation 7 is correct
what is equivalent expression?Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same. The given equation is equivalent to the expression one half and one half x.
Given information;
The expression given in the problem is,
(1/4) x [tex]x[/tex]
Equivalent expression;
Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.
For given expression,
1/4 x [tex]x[/tex]
As the above function is the function of x. Thus it can be written as,
f(x)= 1/4 x [tex]x[/tex]
The number four is the product of number 2 and number 2. Thus,
f(x)=(1/2x2) x [tex]x[/tex]
f(x)=(1/2 x 1/2) x [tex]x[/tex]
Hence the given equation is equivalent to the expression one half and one half x.
Learn more about the equivalent expression here;
brainly.com/question/10628562
#SPJ6
Help will mark brainliest
Answer:
- 1 4/5
Step-by-step explanation:
-1 1/5 + - 3/5
Since the signs are the same, we add and take the sign
1 1/5 + 3/5
1 4/5
The sign is negative
- 1 4/5
On the number line start at - 1 1/5 and go to the left 3/5( since the sign is negative) you will end up at - 1 4/5
If the first three Fibonacci numbers are x1 = 1, x2 = 1, x3 = 2, what is the value of n for which xn + xn+1 + xn+2= 68?
Answer:
13, 21, and 34
Step-by-step explanation:
x(n) + x(n+1) + x(n+2)= 68
x(n), x(n+1), and x(n+2) are three consecutive Fibonacci numbers.
=> (x) + (x+k) + (x+x+k)=68
(x is a Fibonacci number and k is a positive integer)
=> 4x + 2k = 68
=> 2x + k = 34
=> x < 17
Check two Fibonacci numbers that are closest to 17 and smaller than 17.
x(n)=8 => x(n+1)=13, x(n+2)= 21
=>x(n) + x(n+1) + x(n+2)= 8 + 13 + 21 = 42 (not valid)
x(n) = 13 => x(n+1) = 21, x(n+2)= 34
=> x(n) + x(n+1) + x(n+2)= 13 + 21 + 34 = 68 (valid)
Hope this helps!
67.5675675676 rounded to the nearest tenth I get confused sometimes lol.....I completely forgot how this goes, please help me, its for a lab:|
Answer:
67.6
Step-by-step explanation:
Since 67.56 is 6 and above so, it is rounded to 6 so, it is 67.6.
Which bar diagram represents the equation 5x + 7.5 = 15?
5X
7.5
15
7.5
5X
15
15
5x
7.5
LO
7.5x
15
Mark this and return
Save and Exit
Next
Answer:
it would be C i took the test
Step-by-step explanation:
Answer:
The answer would be C because i just took the test and got it right hope this helps.
Step-by-step explanation:
Which of the following is the inverse of the statement, "If i listen to this song, then it will get stuck in my head"?
If it gets stuck in my head, then i listened to the song.
we can describe 12×-8 as an expression . it can also be written as 4(3×-2) 4 and 3×-2 are both...of 12×-8
Answer:
factor
Step-by-step explanation:
The measures of is c.
Answer:
10
Step-by-step explanation:
By the Pythagorean Theorem:
[tex]c=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]
Hope this helps!
For a polynomial function y = f(x), where f(1/3)=0, one of the factor would be
Answer:
(x-1/3) is one of the factors
Step-by-step explanation:
Using the reverse of the zero product property
(x-a) = 0 where a is one of the roots
x-1/3 = 0
(x-1/3) is one of the factors
Answer:
x-1/3) is the answer
Step-by-step explanation:
zero product property
If a figure has a length and width that are the measured in meters, what would be the units for the area of the figure
Answer:
metre squared (m²)
Step-by-step explanation:
metre×metre=metre squared (m²)
The reminder when the square of any prime number greater than 3 is divided by 6 is
Answer:
(A) 1(B) 3 (C) 2(D) 4
Step-by-step explanation:
Solve for x in the diagram below.
8x
50°
X =
Answer:
x=5
Step-by-step explanation:
The 2 angles are inside of a right angle (the little square in the corner denotes a right angle). This means they are complementary angles, and add to 90 degrees.
8x+50=90
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
50 is being added to 8x. The opposite of addition is subtraction. Subtract 50 from both sides.
8x+50-50=90-50
8x=90-50
8x=40
x is being multiplied by 8. The opposite of multiplication is division. Divide both sides by 8.
8x/8=40/8
x=5
x is equal to 5.
There is more than one integer, greater than 1 , which leaves a remainder of 1 when divided by each of the four smallest primes. What is the difference between the two smallest such integers?
Answer:
210.
Step-by-step explanation:
The first 4 primes are 2,3,5 and 7.
If we multiply them we get 2*3*5*7 = 210.
So 210 + 1 = 211 is one integer which gives 1 as a remainder.
The next one would be 2*210 + 1 = 421.
The difference is 210.
Help me please please
Answer:
1/2 = 2^-1 = 1/2
Step-by-step explanation:
The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...
[tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]
__
Additional comment
It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.
The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.
Please help with this
Answer:
D
Step-by-step explanation:
By the Pythagorean theorem:
[tex]18^2+24^2=x^2[/tex]
Therefore, answer choice D is correct. Hope this helps!
How many angles does a nonagon have?
Answer:
9
Step-by-step explanation:
There are nine angles in a nonagon.
Combine the like terms to create am equivalent expression y-(-3y)
Answer:
[tex]=4y[/tex]
Step-by-step explanation:
[tex]y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y[/tex]
Answer:
[tex] = 4y[/tex]
Step-by-step explanation:
[tex]y - ( - 3y)[/tex]
we know that,
[tex]( - ) \times ( - ) = ( + )[/tex]
so,
[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the perpendicular and parallel line of 8x + 5y=4
Answer:
Perpendicular: [tex]y = \frac{5}{8}x+4[/tex]
Parallel: [tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]
Step-by-step explanation:
I'm going to rewrite the equation:
[tex]y=-\frac{8}{5} x+\frac{4}{5}[/tex]
Perpendicular means that the slope is the opposite reciprocal.
Slope = [tex]\frac{5}{8}[/tex]
[tex]y = \frac{5}{8}x+4[/tex]
Parallel means that the slope is the same but the y - intercept is different:
[tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]
Aiden is putting a carpet on the floor of his bedroom. The carpet is 6 feet long and 7 feet wide. What is the total area of Aiden's carpet?
6 × 7 = 42 because area = length × width
Please help with these questions :(
In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.
17^2-8^2 = 289 - 64 = 225 = 15^2.
Therefore, the answer to first question is yes
Then, for question 2, you do the same thing.
41^2 - 40^2 = 51
Here, 51 is not a square number. Most importantly it is not the square of9,
So this triangle is not right angled
PLZ HELP FAST!!! WILL GIVE BRAINLIEST!!! The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct? PLZ HELP FAST!!!
Answer:
C) The initial value is 32, and the rate of change is 1.
Step-by-step explanation:
This is the correct answer for edge
Simplify 14x+5[6-(2x+3)]
Answer:
4x + 15
Step-by-step explanation:
A = 14x + 5[6 - (2x + 3)]
= 14x + 5[6 - 2x - 3]
= 14x + 30 - 10x - 15
= (14x - 10x ) + (30 - 15)
= 4x + 15
Hope this helps!
help I know is easy but I don't know
Answer:
? = 2 sqrt(21)
Step-by-step explanation:
We can use the Pythagorean theorem to solve since this is a right triangle
a^2 + b^2 =c^2
?^2 + 4^2 = 10 ^2
?^2 + 16 = 100
Subtract 16 from each side
?^2 +16-16 = 100-16
?^2 = 84
Take the square root of each side
sqrt(?^2) = sqrt(84)
? = sqrt(4) sqrt(21)
? = 2 sqrt(21)
Answer:
[tex]? =9.16515139[/tex]
Step-by-step explanation:
→You can use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
→The "a," and "b," are the legs, and the "c," is the hypotenuse. In this case, we area already given the hypotenuse (10), and are solving for the leg. So plug in the numbers, like so:
[tex]4^2+b^2=10^2[/tex]
[tex]16 + b^2=100[/tex]
→Subtract 16 from both sides:
[tex]b^2 = 84[/tex]
→To get "b," by itself, square root both sides, like so:
[tex]\sqrt{b^2} = \sqrt{84}[/tex]
[tex]b = 9.16515139[/tex]
Solve each. Show all necessary work.
8. Write the equation of the line in slope-intercept form that passes through (10.21) and (15.36)
Answer:
y = 3x - 9
Step-by-step explanation:
First, find the slope using y2 - y1 / x2 - x1
36 - 21 = 15
15 - 10 = 5
15/5 = 3, so the slope (m) is 3.
Now, plug into point-slope form: y - y1 = m (x - x1)
y - 21 = 3 (x - 10)
Simplify
y - 21 = 3x - 30
y = 3x - 9
I hope this helps!!
What is the product? 3x^5(2x^2+4+1)
Answer:
[tex]6x^{7} +15x^{5}[/tex]
Step-by-step explanation:
[tex]3x^{5}[/tex]([tex]2x^{2} +4+1[/tex])
Multiply [tex]3x^{5}[/tex] by each term in the parentheses.
[tex]6x^{7}[/tex] + [tex]12x^{5} +3x^{5}[/tex]
Now, all you have to do is simplify.
[tex]6x^{7} +15x^{5}[/tex]
