let's recall that the conjugate of say a + b is simply the same thing with a different sign in between, namely a - b, so let's use the conjugate of the denominator and multiply top and bottom by it.
[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{4+\sqrt{2}}{2-\sqrt{2}}\cdot \cfrac{2+\sqrt{2}}{2+\sqrt{2}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{\underset{\textit{difference of squares}}{(2-\sqrt{2})(2+\sqrt{2})}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{2^2-(\sqrt{2})^2}[/tex]
[tex]\cfrac{8+4\sqrt{2}+2\sqrt{2}+(\sqrt{2})^2}{4-2}\implies \cfrac{8+4\sqrt{2}+2\sqrt{2}+2}{2}\implies \cfrac{10+6\sqrt{2}}{2} \\\\\\ \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(5+3\sqrt{2})}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{5+3\sqrt{2}}[/tex]
Roberto bikes for 5.2 hours and covers a distance of 49.4 miles. Eileen bikes for 2.5 hours and covers a distance of 20.5 miles.
Assuming both Roberto and Eileen bike at a constant speed, who was biking faster and by how much? Select from the drop down menus to correctly answer the question. Choose... bikes faster than Choose... by Choose... mi/h.
Answer:
Roberto bikes faster than Eileen by 1.3 mi/h
Step-by-step explanation:
Roberto bikes at 49.4/5.2=9.5 mi/h
Eileen bikes at 20.5/2.5=8.2 mi/h
9.5-8.2=1.3
So Roberto bikes faster than Eileen by 1.3 mi/h
what is 2x-4y=12 x-3y=17
Answer:
x=-16
y=-11
Explanation:
2x-4y=12
x-3y=17
first multiply all the numbers of the bottom equation by -2
2x-4y=12
-2x+6y=-34
then cancel the x's, and add the other numbers
2y=-22
solve for y
y=-11
plug y into either the original top or bottom equations
2x-4(-11)=12
2x+44=12
2x=-32
x=-16
or
x-3(-11)=17
x+33=17
x=-16
The state of Colorado has 7 representatives in the U.S. House of Representatives. There are a total 435 representatives. What is the percentage of Colorado’s representation?
Answer:
1,61 %
Step-by-step explanation:
Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100
7/435*100= 1,61 %
A line passes through the point (-2,6) and has a slope of 5/2 write an equation in slope-intercept form for this line
Answer:
y=5/2x+11
Step-by-step explanation:
write part of equation and apply
6=5/2(-2)+n
n=11
y=5/2x+11
If
x
=
2
and
y
=
5
, evaluate the following expression:
2
(
3
y
−
4
x
)
If 20% of a number is 28 and 25% of the same number is 35, find 45% of that number.
pls help mee I dont k ow this and if anyone is smort enough can you help me with the 9ther questions (5 i total my last redo)
Answer:
c
Step-by-step explanation:
I think that is the answer
Answer:
c
Step-by-step explanation:
it is equal to.
Bryce has $16 more than Corey. Both have a combined total of $50. How much money does Bryce have.
Answer:
$33
Step-by-step explanation:
Let the amount of money Corey has be $x.
Amount of money Bryce have= $(x +16)
Total amount= $50
$x +$(x +16)= $50
2x +16= 50
2x= 50 -16
2x= 34
Divide both sides by 2:
x= 34 ÷2
x= 17
Amount of money Bryce have
= $(17 +16)
= $33
please help me with this
Answer:
∠5 is supplementary.
It forms a straight angle with ∠1.
!PLEASE HELP!
3/2 (7/3x+1) = 3/2
Show work. (simple if possible)
Giving Brainliest.
Answer:
x = 0
Step-by-step explanation:
[tex]\frac{3}{2}(\frac{7}{3}x + 1) = \frac{3}{2}[/tex]
To start, let's multiply each side by the reciprocal of [tex]\frac{3}{2}[/tex]. Multiplying a fraction by its reciprocal gives us 1, which will make the left side of our equation simpler.
[tex]\frac{2}3} * \frac{3}{2}(\frac{7}{3}x + 1) = \frac{2}3} * \frac{3}{2}[/tex]
[tex]\frac{2}{3} * \frac{3}{2} = 1[/tex], so we have:
[tex]1(\frac{7}{3}x + 1) = 1[/tex] or [tex]\frac{7}{3}x + 1= 1[/tex]
Next, we can subtract 1 from both sides to further simplify the left side:
[tex]\frac{7}{3}x + 1 - 1= 1 - 1\\\frac{7}{3}x=0[/tex]
Finally, we can multiply by the reciprocal of [tex]\frac{7}{3}[/tex] on both sides in order to isolate x on the left. Anything multiplied by 0 = 0, so now we have:
x = 0
7/2x + 3/2 = 3/2 <=> 7/2x = 0 <=> x=0
Simplify the expression (ab^2)*(-b^4a^3)^2
if any doubt leave a comment below
In the equation L = F + B, if F is equal to 6.50 and B is equal to -6.25, then L is equal to
Answer:
L is equal to 0.25.
Do you want me to put an explanation?
() What is 4 divided by 9?
Answer:
9
Step-by-step explanation:
Write the equation of the line passing through points (-1,1) and (1,1).
Answer: x+1
Step-by-step explanation:
Answer:
Try x+1
Step-by-step explanation:
Hope it helps
Sum of three consecutive odd integers is 57. What are the three consecutive even numbers? Write an equation.
Answer:
17, 19 and 21
Step-by-step explanation:
17 + 19 + 21 = 57
A 6 pound bag of grass seed covers 7,000 square feet. How many pounds would be needed to cover 23,000 square feet?
Write answer as an integer or a reduced fraction.
Answer:
Step-by-step explanation:
You can setup a proportion as follows:
4 lb = 9000 ft2
x lb = 25000 ft2
Solve for x = 25000 ft2 x 4 lb / 9000 ft2 = 11.11 lb ~ 11 lb rounded to a whole number
you throw a football straight up into the air with a speed of 12.2m/s. How high those the ball go?
Answer:
7.6m
hope this helps :)
A proportional relationship is shown in the table below
X 0 .3 .6 .9 1.2
Y 0 1 2 3 4
Write the number below as a fraction in its simplest form
0.41 recurring
Answer:
41/100
Step-by-step explanation:
Any decimal to a fraction would have to have a extra digit than the numerator also it has to start with 1 and the rest having to be a certain amount of 0's, 0.41 as a fraction fraction would be 41/100
148 oz = ________ lb _______ oz
Explain yourself
The table shows the number of admission tickets to an amusement park sold over the last 3 days.
Day Tickets Sold
Friday 2 to the power of 4 · 3 to the power of 2 · 5 to the power of 3
Saturday 2 to the power of 2 · 3 to the power of 4 · 7 · 13
Sunday 3 to the power of 6 · 5 · 7
How many more tickets were sold on Sunday than on Friday? Write your answer as a whole number.
HOW MANY tickets??!?
Answer:
There were 7515 more ticket sold on Sunday than on Friday.
Answer: There were 21915 sold on Sunday than on Friday.
Calculate 1.015 to the power of 72
Answer:
2.92 rounded
Step-by-step explanation:
:))
For which function is the ordered pair (2, 12) not a solution?
A) y= 6 x
B) y= x - 10
C) y= 14 - x
D)y= x + 10
Answer:
option b
Step-by-step explanation:
y=12 x=2
12 is not equal to 2-10.
lemme know if you didn't understand
Combining like terms. Solve for b.
15b + 10b = 50
Answer:
b=2
Step-by-step explanation:
15b+10b=50
25b=50
b=2
Answer:
B is 2 because 10x2=20 and 15x2=30
add those 2 up and get 50
Step-by-step explanation:
Give brainly pls(the crown)
Q
1). 20² + 20^2
nt : I from is Indonesian
Answer:
[tex]\red{\rule{4pt}{700000pt}}[/tex]
Step-by-step explanation:
hi
if h(x)=5x+2 and g(x) =9x-4 find (h o g) (3)
Answer:
h(g(x)) = 45x -18
Step-by-step explanation:
h(g(x)) = 5(9x - 4) + 2
= 45x - 20 + 2
= 45x -18
[tex]\text{Given that,}\\\\h(x) = 5x+2 \\\\g(x) = 9x-4\\\\g(3) = 9(3) -4 =27 -4=23\\\\(h \circ g)(3) \\\\=h(g(3))\\\\=h(23)\\\\=5(23) +2 \\\\=117[/tex]
During a snowstorm, Noah tracked the amount of snow on the ground. When the
storm began, there was 1 inch of snow on the ground. For the first 4 hours of the
storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 2
hours and then started again at a constant rate of 2 inches per hour for the next 6
hours. Make a graph showing the inches of snow on the ground over time using the data that Noah created
data that Noah collected.
Click twice to plot a segment.
Click a segment to delete it.
25
24
23
22
ow on the Ground (Inches)
20
19
18
17
16
15
14
13
12
9
Answer:
ss the question
Step-by-step explanation:
The soup pot is 8 inches tall with a radius of 3 inches.
What is the volume of the soup pot?
Answer:The volume of the soup pot is of 226.19 cubic inches.
Step-by-step explanation:
Format of a soup pot:
A soup pot has a cylindrical format.
Cylinder volume:
The volume of a cylinder, with radius r and height g is given by:
The soup pot is 8 inches tall with a radius of 3 inches.
This means that
What is the volume of the soup pot?
The volume of the soup pot is of 226.19 cubic inches.
A photograph measures 15 cm by 20 cm. It is made smaller in the ratio 4:5 What are the dimensions of the new photograph?
HELP PLSS !!!!!
Answer:
12cm by 15cm
8cm by 10cm
4cm by 5cm
Step-by-step explanation:
it is made smaller so any values smaller than 15cm but in ratio of 4:5 can be answer
Answer:
15 cm is the new dimensions of new photograph
Step-by-step explanation:
initial dimension of shorter side = 8 cm
initial dimension of longer side = 10 cm
final dimension ofshorter side = 12 cm
finial dimension of longer side = x cm
The enlargement always ensure the aspect ratio
aspect ratio = lonter side/shorter side
equating, [tex]\frac{10}{8}[/tex] = [tex]\frac{x}{12}[/tex]
Solving for x,
10 × 12 = 8 × x
[tex]x = \frac{10 x 12 }{8} = \frac{120}{8 } = 15[/tex]
/\
that says 10 x 12
longer side is 15cm
(Hope this helps can I pls have brainlist (crown)☺️)
Mrs. Carol body toaster oven for 18 nine dollars sales tax is 7.75% what was the total including tax that she spent for the toaster oven