What is the quotient of
(3+i)(3-i)
_______
-(2+2i)^2
expressed in simplest form?
Answers
Answer:
5i/4
Step-by-step explanation:
it should be right. im in algebra 2 right now and were on that unit
Related Questions
Morgan is going to invest $8,200 and leave it in an account for 10 years. Assuming
the interest is compounded monthly, what interest rate, to the nearest hundredth of a
percent, would be required in order for Morgan to end up with $16,500?
Answers
Answer: r ≈ 7.01%
Step-by-step explanation:
Answer:
4.9%
Step-by-step explanation:
simplify 3
[tex] \sqrt[3]{a} - \sqrt[5] {a}^{2} \times ( {a}^{ - 1} )^ \frac{1}{2} [/tex]
Answers
Answer:
why is there no picture?
9514 1404 393
Answer:
cuberoot(a) - 1/tenthroot(a)
Step-by-step explanation:
The applicable rule of exponents seems to be ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
Expressing all radicals using rational exponents, we want to simplify ...
[tex]a^{\frac{1}{3}}-(a^{\frac{2}{5}})(a^{-\frac{1}{2}})\\\\=a^{\frac{1}{3}}-a^{\frac{4-5}{10}}\\\\=a^{\frac{1}{3}}-a^{-\frac{1}{10}}=\boxed{\sqrt[3]{a}-\dfrac{1}{\sqrt[10]{a}}}\\\\=\boxed{\sqrt[3]{a}-\dfrac{\sqrt[10]{a^9}}{a}}[/tex]
__
We have shown two simplified expressions. You can choose the one that matches your requirements. Sometimes we don't want any radicals in the denominator.
What is the value of x?And the perimeter and area?
Answers
Answer:
Step-by-step explanation:
12
3.1 Write the following in scientific notation
a) 217 000 000 b) 0,000 253
Answers
Answer:
2.17 x 10^8
0.253 x 10^-4 if number is 0.000253 or 2.53 x 10^2 if number is 253
Step-by-step explanation:
If fg(x) = 2x + 1, and f(x) = x + 2, find g(5) and g-'f'(1).
Answers
Answer:
g(5) - f(1) = 8
g(5) = 11
Step-by-step explanation:
Given:
g(x) = 2x + 1
f(x) = x + 2
Find:
g(5)
g(5) - f(1)
Computation:
g(x) = 2x + 1
g(5) = 2(5) + 1
g(5) = 11
f(x) = x + 2
f(1) = 1 + 2
f(1) = 3
g(5) - f(1) =11 - 3
g(5) - f(1) = 8
A tablecloth has a length of
9/8 meters and a breadth of 5/8 meters. What is the area of the tablecloth?
Answers
Answer:
45/64 m²
Step-by-step explanation:
We are given the length and width of the tablecloth (breath = width).
Length = 9/8 mWidth = 5/8 mWe know that the formula for the area of a rectangle is A = L × W.
Assuming the tablecloth is in the shape of a rectangle (since the problem gives us length and width), we can substitute the length and width into the formula.
A = 9/8 × 5/8 A = 45/64The area of the tablecloth is 45/64 m².
Need this answer please
Answers
Answer:
line s
Step-by-step explanation:
Answer:
your answer will be line r
Step-by-step explanation:
hope it help
44fps converted to miles per hour
Answers
Step-by-step explanation:
30 mph is the answer of your qu
Which expression is equivalent to
Xy2/9
Answers
Answer:
x(^9 radicand y^2)
Last option
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.
If the mirror is 45 feet away from the building’s base, how tall is the building
please show step by step
Answers
Answer:
Step-by-step explanation:
θ = angle of incidence = angle of reflection
You have two similar triangles.
tanθ = 6/4 = h/45
h = 45×6/4 = 67.5 ft
The required height of the building is 67.5 feet.
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. If the mirror is 45 feet away from the building’s base, how tall the building is determined.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Since the two triangles are similar,
Let the height of the building is x.
The ratio of height and distance from the mirror Jhonny = height and distance of mirror from the building.
6/4=x/45
x = 11.25*6
x = 67.5
Thus, the required height of the building is 67.5 feet.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
A random sample of people is chosen to participate in a survey.
For the survey results to be considered valid, which must be true of the random
sample? (Select all that apply.)
Everyone in the population has an equal chance of being selected in the sample.
The sample must be the same size as the population.
The sample must be a group separate from the population.
The sample size must be small.
The sample must be unbiased.
The sample must be biased.
The sample must represent the target population.
Answers
Answer:
he sample must represent the target population.
its c good luck c c c cc c cc c cc c cc c c c c c c c c c c c c c c c c c
PLEASE SOLVE FOR BRAINLIST 5 TIMES AND 10 POINTS
Answers
5. 114.7miles
63,270 ÷ 855 = 74
2. 6 ÷ 8
Fractions are basically division problems
3. 1/10 or 1 over 10
Make them have the same denominators
1/2 - 2/5 = 5/10 - 4/10 = 1/10
4. I believe it’s 13 ½
Since you need to add 4 of the shortest leashes
3+3+3+4½ = 13½
5. 114.7 miles
3.7 x 31 = 114.7
the area of a rectangle knitted blanket is 9x^2-6x-8. What are the possible dimensions of the blanket? Use factoring
Answers
Answer:
3x+2 and 3x-4
Step-by-step explanation:
We are given the quadratic equation 9x²-6x-8.
first, multiply 9 and -8 together (factors a*c, which equals to the sum that is b)
the result is -72
now think:
which two numbers add up to -6, but when multiplied, equal -72?
Those two numbers are -12 and 6
we can expand the polynomial:
9x²-12x+6x-8
factor by grouping:
3x(3x-4)+2(3x-4)
(3x-4)(3x+2)
so, the dimensions of the blanket are (3x-4) and (3x+2)
Hope this helps :)
Solve for n. 2/3(1+n)=-1/2n
Answers
Answer:
=−4/7
Step-by-step explanation:
And yh I'm sorry if I got it wrong
Someone plss help I tried and I still can't get it plss help me
Answers
Answer:
-18 is an integer but not a whole number
Step-by-step explanation:
a whole number is only positive numbers and 0 itself while an integer is basically any number that isn't a decimal or a fraction. -18 is an integer, but it can't be a whole number because it is a negative number.
how do you write the equation of a line (in slope intercept form) with three given points?
Answers
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept
1) Solve for the slope ([tex]m[/tex])
The equation to solve for the slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Plug the coordinates of these points into the equation and solve for [tex]m[/tex].
Then, plug [tex]m[/tex] into [tex]y=mx+b[/tex].
1) Solve for the y-intercept ([tex]b[/tex])
Then, take any of the given points and plug it into [tex]y=mx+b[/tex] along with the slope. Isolate [tex]b[/tex] to get the y-intercept. Then, plug both m and b back into [tex]y=mx+b[/tex] to get your final equation.
I hope this helps!
Slope intercept form of a line is y=mx+b, where m is the slope and b is the y intercept.
I’m going to use the points (5,3) and (8,5) to show how to write the equation.
First, find the slope. The formula to find the slope is y2-y1/x2-x1. With my points, the slope equation would look like this:
m=(5-3)/(8-5)
m=2/3
I put this into my point slope formula
y=2/3x+b
To find out the b (y-intercept), I plug in one pair of points, then solve for b. I will use (5,3)
3=2/3(5)+b
3=10/3+b
-1/3=b
I can now add b to my equation, and get y=2/3x-1/3
To double check this, I could graph this line and make sure that it crosses my selected points. Hope this helps!
A store owner wants to prepare 100 lb of a candy mix that she will sell for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost.
Answers
Answer:
Fraction form:33/20 money:$1.65
Step-by-step explanation:
$0.2 + $x = %1.36
20 IB + 80 IB = 100 IB
Equation: 0.2*20+x*80=1.36*100
there fore the answer is 33/20
Answer:
33/20
Step-by-step explanation:
What is the degree of the monomial? Give only a numerical answer.
-6x^3y^3w
Answers
Answer:
1
Step-by-step explanation:
lin run 5 laps around a track in 10 minutes. How many minutes per lap is that
Answers
I DONT WANT HOW TO DO IT JUST THE ANSWER
Answers
YUH yuh yuh yuh
I need help thank you
Answers
Answer:
3 1/2
Step-by-step explanation:
That is the largest value.
Answer:
3 1/2 ounces
Step-by-step explanation:
That is the biggest number on the graph.
cool/3d18c3ab-98a2-4989-9e70-1d62f58e3bcf/Showitem?returnView=&studentItemid=0&backPath Question 3 of 17 A room has dimensions 10'6" X 14'. What is the perimeter of the room?
Answers
Answer:
Perimeter = 2*Length + 2*Width
= 2(10’6”) + 2(14)
= 21’ + 28’
= 49’
Step-by-step explanation:
What is 1.5( 3a - 12b + 10) equal to?
Answers
Hope this helps!
What is the correct name for a 9-sided polygon?
decagon
octagon
nonagon
ninagon
Answers
Answer:
nonagon
Step-by-step explanation:
The correct name for a 9-sided polygon is nonagon.
Answer:
option c. nonagon
..............
Solve the equation: x^2-16x+126
Answers
Answer:
The only possible value for x is 7.
Step-by-step explanation:
Recognize that we are given two different equations for the area, A:
1) A = 63 in^2, and
2) A = x^2 - 16x + 126
These two equations must be equal to each other: A = A
and therefore,
x^2 - 16x + 126 = 63, which becomes x^2 - 16x + 63 = 0 if we subtract 63 from both sides.
Let's solve this using "completing the square." Take half of the coefficient of x (which coefficient is -16), halve it (obtaining -8) and square the result (obtaining 64). Now, between -16x and +63 (see the last equation, above), we write +64 - 64, obtaining:
x^2 - 16x + 64 - 64 + 63, which can be rewritten as:
(x - 8)^2 -1 = 0. Note that this has the form (x - h)^2 + k, and that h is 8 and k is -1. Thus, the associated parabolic graph has its vertex at (h, k), or (8, -1). This graph opens up. Because the vertex is below the x-axis, we know that the graph intersects the x-axis in two places.
Let's find these x values. Rewrite (x - 8)^2 -1 = 0 as (x - 8)^2 = 1. Squaring both sides results in x - 8 = 1, which simplifies to x = 9. This x = 9 is 1 greater than the x-coordinate of the vertex (8). Knowing tht the graph is symmetrical about the vertical line x = 8, we can safely assume that x = 7 is the other solution, as it is 1 unit to the left of x = 8.
Now we must check these possible solutions {7, 9}.
Evaluate the second equation at each 7 and 9 and determine whether the area turns out to be 63 in^2, as it must.
(7)^2 - 16(7) + 126 = 49 + 126 - 112, which in turn is equal to 63. Yes, x = 7 is a possible value for x.
Next: x = 9. (9)^2 - 16(9) + 126 = 81 - 112 + 126 = 95. This does not agree with A = 63 in^2, so we must reject x = 9.
The only possible value for x is 7.
the exponential function g, whose graph is given below, can be written as g(x)=a*b^x
PLEASE HELP
Answers
Answer:
-5 9 i think that it let me know if I'm right
what is eight times a number equals 4 times the 9?
Answers
Answer:
x=4.5
Step-by-step explanation:
8*x = 4*9
8x = 36
x = 4.5
Answer:
9/2
Step-by-step explanation:
Let the unknown number = n
Therefore, we can decode your question in the following manner:
8 x n = 4 x 9
Recognize that 4 x 9 = 36
So, 8 x n = 36
Lets divide 8 in both sides
n = 36/8 = 9/2
Therefore, n = 9/2
The expression a + b + 3c is a ____ *
Monomial
Binomial
Trinomial
Answers
2. Write the coefficient of 'a' in each of the following termi) '5ax' (ii) '-4ab' (iii) '38abc' iv) '-24 ab^(2)c'
Answers
Answer:
The coefficients are:
[tex](a)\ 5x[/tex]
[tex](b)\ -4b[/tex]
[tex](c)\ 38bc[/tex]
[tex](d)\ -24b^2c[/tex]
Step-by-step explanation:
Required
The coefficient of a
To get the coefficient, we simply remove a. The remaining terms is the required coefficient
Solving (a):
[tex]Expression = 5ax[/tex]
Remove a
5x:
Hence, the coefficient is 5x
Solving (b):
[tex]Expression = -4ab[/tex]
Remove a
-4b
Hence, the coefficient is -4b
Solving (c):
[tex]Expression = 38abc[/tex]
Remove a
38bc
Hence, the coefficient is 38bc
Solving (d):
[tex]Expression=-24ab^2c[/tex]
Remove a
[tex]-24b^2c[/tex]
Hence, the coefficient is [tex]-24b^2c[/tex]
Jimmy runs 16 laps around the track every day. If he decides to run 24 laps today. what percent of the laps did he run?
Answers
Answer:
150%
Step-by-step explanation:
Answer:
66.7%
Step-by-step explanation:
[tex] \frac{16}{24} \times 100 = 66.67[/tex]