9514 1404 393
Answer:
x = 8
Step-by-step explanation:
In an isosceles right triangle, the side length ratios are ...
1 : 1 : √2 = x : x : 8√2
The latter ratios will match the first ratios when x=8.
__
That is, x = (8√2)/(√2) = 8.
solve for the missing elements. Show your work. Use 3.14 for pie 28 diameter
Answer:
Pls someone answer this i need it 2
Step-by-step explanation:
Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros −6 and 1 + i.
Answer:
[tex]Q(x) = x^3 + 4x^2 - 10x + 12[/tex]
Step-by-step explanation:
Complex numbers:
The most important relation when dealing with complex numbers is that:
[tex]i^2 = -1[/tex]
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Q has degree 3 and zeros −6 and 1 + i.
Complex roots are always complex-conjugate, which means that if 1 + i is a root, 1 - i is also a root.
I am going to say that the leading coefficient is 1. So
[tex]Q(x) = (x - (-6))(x - (1 + i))(x - (1 - i)) = (x + 6)(x^2 - x(1-i) - x(1+i) + (1+i)(1-i)) = (x + 6)(x^2 - 2x + 1 - i^2) = (x + 6)(x^2 - 2x + 1 - (-1)) = (x + 6)(x^2 - 2x + 2) = x^3 + 6x^2 - 2x^2 - 12x + 2x + 12 = x^3 + 4x^2 - 10x + 12[/tex]
The polynomial is:
[tex]Q(x) = x^3 + 4x^2 - 10x + 12[/tex]
Mark should have rounded 271 to 250 and rounded 582 to 550: 250 + 550 = 800.
B.
00:00
Mark should have rounded 271 to 250 and rounded 582 to 600: 250 + 600 = 850.
C.
00:00
Mark should have rounded 271 to 300 and rounded 582 to 600: 300 + 500 = 900
Answer:
Mark should have rounded 271 to 300 and rounded 582 to 600: 300 + 500 = 900
Step-by-step explanation:
Rounding to the nearest hundred means rounding 271 to 300 and 550 to 600.
Think of it as
271 changes to 0.271
The 7 would be in the hundredths place.
7 is greater than 5; therefore, round up.
Now you have 0.3, change this back to it's normal decimal places to get 300.
550 changes to 0.550
Where the second 5 would be in the hundredths place.
5 is equal to 5; therefore, round up.
Now you have 0.6, change this back to it's normal decimal places to get 600.
Mark rounded to the nearest place which is not the same.
What is the formula for the area A of a circle in terms of the radius r?
The formula is A =
Answer:
The formula is A = πr²
Answer:pi r square
Step-by-step explanation:
in desperate need of help!
Answer:
y=24
Step-by-step explanation:
Straight line = 180°
collect like terms.
7y+12=180°
-12. - 12
7y=168°
÷7. ÷7
y=24
Answer:
y is equal to 24
Step-by-step explanation:
above picture
What has to be true if you want to convert one rate to another rate?
Answer:
i think it might be the "units of the first rate are both/all distinct from that of the converted rate, but it still represents the same measurement."
Step-by-step explanation:
A town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?
The population of the town after 5 years will be 147089 (approx).
Step-by-step explanation:
The exponential growth equation is given by :-
f(x)=A(1+r)^x...(*)
, where A = initial population , r= rate of growth ( in decimal) and x is time.
As per given , we have
A= 13000
r=2.5%=0.025
x= 5 years
Using (*), the population of the town after 5 years would be :
f(5)=13000(1+0.025)^5=13000(1.025)^5\\\\=13000(1.13140821289)=14708.306767614708.3067676\approx147089
Hence, the population of the town after 5 years will be 147089 (approx).
covert this repeating decimal into a fraction
Answer: 4311/9900 or 479/1100
Step-by-step explanation:
Okie so in order to do this, we need to get rid of the repeating part of the decimal
==============================================================
Right now we have x = 0.435454545454...
If we multiply this by 100, we get
100x = 43.545454545454
And if we multiply by 10000 we get
10000x = 4354.5454545454
==============================================================
Subtract the two equations
10000x = 4354.5454545454
100x = 43.545454545454
------------------------------------------------- (notice: the repeating part will cancel out)
9900x = 4311
x = 4311/9900
If you simplify the fraction you get: 479/1100
The fraction that represents the repeating decimal is
[tex]\frac{479}{1100}[/tex]
Given :
A repeating decimal [tex]0.4354545454...............[/tex]
there is bar at 54 , so 54 is repeating
We need to convert this decimal into fraction
54 is repeating so we multiply by 100
Let x= [tex]0.4354545454...............\\[/tex]
[tex]100x=43.54545454...............[/tex]
Now we subtract x from 100x
[tex]100x=43.54545454...............\\ x= 0.4354545454...............\\-----------------------------------------\\ 99x=43.11[/tex]
Now divide both side by 99
[tex]x=\frac{43.11}{99} \\[/tex]
multiply top and bottom by 100 to remove the decimal
[tex]x=\frac{4311}{9900} \\Divide \; top \; and \; bottom \; by 9\\x=\frac{479}{1100}[/tex]
Learn more :
brainly.com/question/15666599
PLEASE HELP!! I’LL GIVE BRAINLIEST!!
Answer:
B
Step-by-step explanation:
[z^4/6²]^-3 = z^-12/6^-6 = 6^6/z^12
Help!!!!! This is only a review!!!!!! Question is on image below.
Given the two dilated figures, what is the length of AB
Answer:
D) 5.52
Step-by-step explanation:
[tex]\frac{AB}{BC} =\frac{DE}{EF} \\\\\frac{x}{2.3} =\frac{2.4}{1} \\\\x=5.52[/tex]
Answer: 5.52
Step-by-step explanation:
Find and simplify an expression for the area of three rows of m squares with side lengths of m centimeters .
The area is __ square centimeters.
Answer:
The area of the shape is 3m³ square centimetres.
Step-by-step explanation:
We know that the area of single square is m² cm².
There are m squares per row, so for the area of the row, we multiply that by m, giving us m³ cm².
Finally, we know that there are three rows, so we need to multiply that by three, giving a total area of 3m³ cm²
Help please I need this ASAP!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
the missing degree is a multiple of 360, so 0.
graph is like squiggly touching -1 at pi and touching 1 at 2 pi and so forth
APML - ATAQ. Solve for x and QR
HELP ASAP!!!!! PLZZZZZ
Answer:
x = 7
Step-by-step explanation:
(7x-9)(2x+2) = 35/14
98x - 126 = 70x + 70
28x = 196
x = 7
Write the system in a matrix equation. Then, find the determinant of the matrix containing the coefficients.
3x + 2y +z = -8
-y-2x + 4z = 7 X-6y-3z=15
х– бу – Зz = 15
Answer:
See below for the matrix
D = 100
Step-by-step explanation:
[tex]\left[\begin{array}{cccc}3&2&1&-8\\-1&-2&4&7\\1&-6&-3&15\end{array}\right][/tex]
3 2 1
D = -1 -2 4 = 3(-2)(-3) + 2(4)(1) + 1(-1)(-6)
1 -6 -3
- 1(-2)(1) - 3(4)(-6) - 2(-1)(-3)
= 18 + 8 + 6 + 2 + 72 - 6
= 100
Sorry, I can't type the vertical bars.
I hope this is what you are looking for.
Together, teammates Pedro and Ricky got 2680 base hits last season. Pedro had 284 more hits than Ricky. How many hits did each player have?
Answer: einstein
Step-by-step explanation:
30. Which graph shows the equation y = -3x?
Answer:
A.
Step-by-step explanation:
Your answer is A. because it crossed the x axis at (0,0) and it has a y-intercept of (1,-3)
Answer:
A shows the equation y = -3x
CLOUDISTHERO/cloudisthero here are your extra points so you'll answer my latest Question and if your not them do not answer or i will not hesitate to report thank you.!!!
Answer:
uh ok just give me the link to the question and I will see if I can help you :)
Step-by-step explanation:
Answer:
SUre.
Step-by-step explanation:
Answer it pls it due at 12
Answer: C
Step-by-step explanation:
Adjacent angles mean they share a common vertex and do not overlap, answer c is the only one that follows this rule
What is the prime factorization for 127
Answer:
127x1
Step-by-step explanation:
127 is prime, so there are only 2 factors
Can you please help me?
Answer:
1 = 3
2 = 6
3 = 9
Step-by-step explanation:
for every # it is multiplied by 3 (ex. 7 • 3 = 21, 8 • 3 = 24, ect.)
therefore if it is multiplied by 3 each time
then 1 • 3 = 3
2 • 3 = 6
and 3 • 3 = 9
hope this helps :)
what is the singular multiplier for 35%
The singular is the one and only, so it's 35/100 simplify it= 7/20
So the multiplier is the first digit of the fraction 7/20
So the answer is 7Can someone plz help me with this one problem plzzzzz I’m being timed!!!!!!!
Answer:
3 = 2
5 = 4
6 = 5
Step-by-step explanation:
r the second # = p the first # - 1
Answer:
3 - 1 = 2
4 - 1 = 3
5 - 1 = 4
6 - 1 = 5
I think this is the answer.
Step-by-step explanation:
What is the value of x?
Enter your answer in the box
Answer:
x= 154°
Step-by-step explanation:
since the interior angle sum of a triangle is 180°, we can subtract the interior angles we already have from 180°
so, 180-108-46= 26° which gives us our missing interior angle.
then, we see the straight line is 180° where we need x.
so, we subtract 26 from 180 which leaves us with 154.
therefore, x= 154°
State the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomial
Answer:
The common factor is 5x.
The factored polynomial is: [tex]5x(7x - 2)[/tex]
Step-by-step explanation:
Factor of the numbers:
The common factor of the numbers 5, 30 and 10 is 5, as it is the greater common divisor of them, as found below:
5 - 30 - 10|5
1 - 6 - 2
Factor of the exponents:
Between [tex]x^2, x^2[/tex] and [tex]x[/tex], the common factor is the x with the lowest exponent. So x
Common factor
Number multiplied by exponents, so 5x.
Factoring the polynomial:
[tex]5x^2 + 30x^2 - 10x = 5x(\frac{5x^2}{5x} + \frac{30x^2}{5x} - \frac{10x}{5x}) = 5x(x + 6x - 2) = 5x(7x - 2)[/tex]
The factored polynomial is: [tex]5x(7x - 2)[/tex]
A school purchased T-shirts to sell for a fundraiser.
The school spent $684 for the T-shirts.
Each T-shirt will sell for $12.
Which equation can be used to find the number of T-shirts, x, the school has to sell to earn back the money it spent?
Answer:
1st option will be the answer.
Mrs.Hines has 40 ballons for a party.She has 12 more balloons than she had for her last party.How many balloons did she have last party? Is there a different equation you can write to show this problem? Explain
Answer: 28
Step-by-step explanation:
Let the number of balloons that she had last party be represented by x.
Since Mrs.Hines has 40 ballons for a party which was 12 more balloons than she had for her last party. The number of ballons had last party will be formed into an equation as:
x + 12 = 40
Collect like terms
x = 40 - 12
x = 28
She had 28 balloons last year
Micaela won 82 pieces of gum playing
hoops at her school's game night. Later,
she gave three to each of her friends. She
only has 7 remaining. How many friends
does she have?
Answer: She has 25 friends. If you count by 3 up to 75 (7 gum left) and if you count there is 25 numbers.
Step-by-step explanation:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75
help it is due tomorrow morning
Write a linear equation for the following graph.
Answer: y = 8/3x + 4