Answer:
99
Step-by-step explanation:
(√3−(−2√3))^2+(−√2−5√2)^2
Subtracting a negative is like adding
(√3+(2√3))^2+(−√2−5√2)^2
Taking the first term
(√3+(2√3))(√3+(2√3))
sqrt(3)^2 +2 sqrt(3) * sqrt(3) +2 sqrt(3) * sqrt(3) + (2 sqrt(3))^2
3 + 2 *3 + 2*3 + 4*3
3 +6+6+12
27
Second term
(−√2−5√2)(−√2−5√2)
-sqrt(2)*-sqrt(2) -sqrt(2)*-5sqrt(2) -sqrt(2)*-5sqrt(2) -5sqrt(2)*(-5sqrt(2))
2 +5*2 +5(2) +25(2)
2+10+10+50
72
Add the two terms together
27+72
99
Answer:
d = 6(√3 - 2√2)
Step-by-step explanation:
d = (√3 - (-2 √3) * 2 + (-√2 - 5√2) * 2
d = (√3 + 2√3) * 2 + (-√2 - 5√2) * 2
d = 3√3 * 2 + (-6√2) * 2
d = 6√3 + (-12√2)
d = 6√3 - 12√2
d = 6(√3 - 2√2)
The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?
20 in.
26 in.
120 in.
138 in.
Answer:
its c 120in
Step-by-step explanation:
The perimeter of the triangle is,
⇒ 138 in.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The hypotenuse of a right triangle is 52 in.
And, One leg of the triangle is 8 in. more than twice the length of the other.
Hence, We get;
Lengths of legs are,
⇒ x
And, ⇒ 8 + 2x
Hence, We can formulate;
⇒ 52² = x² + (2x + 8)²
⇒ 2704 = x² + 4x² + 64 + 24x
⇒ 5x² + 24x - 2640 = 0
⇒ x = 20 and x = - 132/5
For perimeter;
Take x = 20
Hence, The perimeter of the triangle is,
⇒ 52 + x + (2x + 8)
⇒ 52 + 20 + (2 × 20 + 8)
⇒ 52 + 20 + 48
⇒ 138 in.
Thus, The perimeter of the triangle is,
⇒ 138 in.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
Which of the following sets represent D ∪ E?
{2, 4, 5, 6, 8, 15}
{2, 4, 5, 6, 8, 10, 15, 20}
{10, 20}
{3, 7, 9, 11}
Answer:
{2,4,5,6,8,10,15,20}
Answer:
{ 2,4,5,6,8,10,15,20}
Step-by-step explanation:
D ∪ E
This means the union of the two sets or what is in both circles with no duplicates
{ 2,4,5,6,8,10,15,20}
Tricia starts school at 7:00 AM and has lunch at 12:00 PM. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch. (Hint: Set up a horizontal number line as a timeline.) A. A. 9:30 AM
B. 10:00 AM
C. 9:00 AM
D. 10:30 AM
Answer:
D) 9:00 am
Step-by-step explanation:
Because 9:00 is the midpoint of 7 and 12
a polynomial has been factored below but some constants are missing. 2x^3-8x^2-24x=ax(x+b)(x+c)
Answer:
The polynomial is 2x^3 - 8x^2 - 24x
And we can factor out a 2x from each of the three terms:
2x(x^2 - 4x - 12)
Lastly, factor the remaining quadratic:
2x(x+(-2))(x+6)
And we have our answer:
a=2
b=-2
c=6
Let me know if this helps!
Answer:
a =2, b =2, and c = -6
Step-by-step explanation:
We factor the polynomial and then see which value corresponds to what.
2x^3-8x^2-24x
As we see it, all terms are factorable by 2x. So if we take out 2x from every term, we get
2x(x^2 - 4x - 12)
Now we factor the quadratic, which we can do mentally to get
2x(x+2)(x-6)
ax(x+b)(x+c)
Comparing that to ax(x+b)(x+c), we can tell that a =2, b =2, and c = -6.
if A = 1 2 1 1 and B= 0 -1 1 2 then show that (AB)^-1 = B^-1 A^-1
help meeeee plessss
[tex]A = \begin{bmatrix}1&2\\1&1\end{bmatrix} \implies A^{-1} = \dfrac1{\det(A)}\begin{bmatrix}1&-1\\-2&1\end{bmatrix} = \begin{bmatrix}-1&1\\2&-1\end{bmatrix}[/tex]
where det(A) = 1×1 - 2×1 = -1.
[tex]B = \begin{bmatrix}0&-1\\1&2\end{bmatrix} \implies B^{-1} = \dfrac1{\det(B)}\begin{bmatrix}2&1\\-1&0\end{bmatrix} = \begin{bmatrix}2&1\\-1&0\end{bmatrix}[/tex]
where det(B) = 0×2 - (-1)×1 = 1. Then
[tex]B^{-1}A^{-1} = \begin{bmatrix}2&1\\-1&0\end{bmatrix} \begin{bmatrix}-1&1\\2&-1\end{bmatrix} = \begin{bmatrix}-1&3\\1&-2\end{bmatrix}[/tex]
On the other side, we have
[tex]AB = \begin{bmatrix}1&2\\1&1\end{bmatrix} \begin{bmatrix}0&-1\\1&2\end{bmatrix} = \begin{bmatrix}2&3\\1&1\end{bmatrix}[/tex]
and det(AB) = det(A) det(B) = (-1)×1 = -1. So
[tex](AB)^{-1} = \dfrac1{\det(AB)}\begin{bmatrix}1&-3\\-1&2\end{bmatrix} = \begin{bmatrix}-1&3\\1&-2\end{bmatrix}[/tex]
and both matrices are clearly the same.
More generally, we have by definition of inverse,
[tex](AB)(AB)^{-1} = I[/tex]
where [tex]I[/tex] is the identity matrix. Multiply on the left by A ⁻¹ to get
[tex]A^{-1}(AB)(AB)^{-1} = A^{-1}I = A^{-1}[/tex]
Multiplication of matrices is associative, so we can regroup terms as
[tex](A^{-1}A)B(AB)^{-1} = A^{-1} \\\\ B(AB)^{-1} = A^{-1}[/tex]
Now multiply again on the left by B ⁻¹ and do the same thing:
[tex]B^{-1}\left(B(AB)^{-1}\right) = (B^{-1}B)(AB)^{-1} = B^{-1}A^{-1} \\\\ (AB)^{-1} = B^{-1}A^{-1}[/tex]
divide 5/6 and 1/12!!
Answer:
10/1
Step-by-step explanation:
5/6÷1/12
5/6×12/1 (do a inverse of 1 upon 12)
10/1
cancel 12 by 6
Please help me anyone
It's very blurry can u retake it?
The polygons in each pair are similar. find the missing side length
If polygons are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{6}{14} = \frac{3}{x} \\ \\ \sf\longmapsto 6x = 14 \times 3 \\ \\ \sf\longmapsto 6x = 42 \\ \\ \sf\longmapsto x = \frac{42}{6} \\ \\ \sf\longmapsto x = 7[/tex]
a 60kg person climbs stairs of total height of 20m in two minutes calculate the power delivered [g = 10ms^2].
Answer:
she's I'll ccgmf
Step-by-step explanation:
for the next day and night and it was so yitd cash check out j vfkcnc gjjx xh
PLEASE HELP ME WITH THIS MATH QUESTION!
Answer:
C
Step-by-step explanation:
First, let's say 4³ is a and 5⁻² is b. We know that (a/b)ⁿ = aⁿ/bⁿ for any n, so
(a/b)⁵ = a⁵/b⁵
= (4³)⁵ /(5⁻²)⁵
Next, one power rule states that (4³)⁵ = 4 ⁽³ˣ⁵⁾ = 4¹⁵ and (5⁻²)⁵ = 5 ⁽⁻²ₓ⁵⁾=5⁻¹⁰, so
(4³)⁵ /(5⁻²)⁵ = 4¹⁵ / 5⁻¹⁰
Next, anything to a negative power (e.g. x⁻ⁿ) is equal to 1 over the absolute value of the power, so x⁻ⁿ = 1/xⁿ. Applying that here, we can say that
5⁻¹⁰ = 1/5¹⁰
4¹⁵ / 5⁻¹⁰ = 4¹⁵ / (1/5¹⁰) = (4¹⁵/1) / (1/5¹⁰) = 4¹⁵ * 5¹⁰
x-1 = [tex]\sqrt{x} -1[/tex]
Answer:
[tex]x = 0[/tex] or [tex]x = 1[/tex].
Step-by-step explanation:
Start by adding [tex]1[/tex] to both sides of this equation:
[tex](x - 1) + 1 = (\sqrt{x} - 1) + 1[/tex].
[tex]x = \sqrt{x}[/tex].
If two numbers are equal, their square should also be equal. Therefore, since[tex]x = \sqrt{x}[/tex], it must be true that [tex]x^{2} = (\sqrt{x})^{2}[/tex]. That is: [tex]x^{2} = x[/tex].
Notice that since [tex]x[/tex] is under a square root, the result must ensure that [tex]x \ge 0[/tex].
Subtract [tex]x[/tex] from both sides of the equation:
[tex]x^{2} - x = x - x[/tex].
[tex]x^{2} - x = 0[/tex].
Factor [tex]x[/tex] out:
[tex]x\, (x - 1) = 0[/tex].
Hence, by the Factor Theorem, [tex]x = 0[/tex] and [tex]x = 1[/tex] would satisfy this rearranged equation. Because of the square root in the original equation, these two value must be non-negative ([tex]x \ge 0[/tex]) to qualify as actual roots of that equation.
In this example, both [tex]x = 0[/tex] and [tex]x = 1[/tex] qualify as roots of that equation.
x-1 = \sqrt{x} -1
Math For Solution#BrainliestBunch
The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0 and 100. The vertex is (50,1000). The maximum profit of $ dollars is reached when items are produced. The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 100 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50.)
Answer:
I assume that we want to complete the statement:
"The maximum profit of $__ dollars is reached when __ items are produced"
We know that the profit equation is defined between x = 0 and x = 100, which are the two roots of the equation (so the profit is equal to zero for x = 0 and for x = 100).
Then we can assume that the profit will be positive in this range.
Thus, the quadratic equation should have a negative leading coefficient, which would mean that the arms of the graph go downwards.
If this is the case, we know that the maximum will be at the vertex.
Here we know that the vertex is:
(50, 1000)
Where remember, x represents the number of items and y represents the profit.
So, given that the maximum is at the vertex, and we know that the vertex is (50, 1000) we can conclude that the maximum profit is $1000, and this happens when the number of produced items is 50.
Then the complete statement is:
"The maximum profit of $1000 dollars is reached when 50 items are produced"
a, 0,03m3=............ dm3=...........cm3
Answer:
0.03 m³ = 30 dm³ = 30000 cm³
what is the equation of the line that passes through the points (-8,8) and (4,-1)
Answer:
y = (-3/4)x + 2
Step-by-step explanation:
Find the slope of this line. Note how the first x-coordinate (-8) becomes 4, a jump of 12, and how the first y-coordinate (8) becomes -1, a decrease of 9. Then the slope is
m = (change in y) / (change in x) = -9/12 = m = -3/4
Find the y-intercept from this data using the slope-intercept form:
y = mx + b becomes 8 = (-3/4)(-8) + b when x = -8, y = 8 and m = -3/4.
Solving this equation for b, we get:
8 = 6 + b, so that b must be 2.
The desired equation is y = (-3/4)x + 2.
Calculate the mode of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3.
Answer:
the Mode Is 3
Step-by-step explanation:
You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode
Complete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Answer:
wea did tha r come from??
Step-by-step explanation:
it is supposed to be d
Q:1)A ball is thrown upwards and it goes to the height of 100meter and comes down. What is the net displacement?
Q:2)An athlete completes one round of a circular track of diameter 200m in 30 seconds. Find the distance covered by the athlete at the end of 30 second.
$\sf\underline\bold{Question:1-}$
A ball is thrown upwards and it goes to the height of 100meter and comes down. What is the net displacement?
$\sf\underline\bold{Solution}$
$\sf{According \: to\:the\: question,}$
Displacement for the above situation is 0. As we know, that displacement is the shortest path from the initial to the final point. Here, the initial and the final points are the same, and henceforth, it takes no time to travel. So the displacement is 0.
_________________________$\sf\underline\bold{Question:2-}$
An athlete completes one round of a circular track of diameter 200m in 30 seconds. Find the distance covered by the athlete at the end of 30 second.
$\sf\underline\bold{Solution:}$
$\sf\bold{Given\:parameters:}$
$\sf\small{☆The\:diameter\:of\:the\:circular\:track:200m}$
$\sf{Radius=}$ $\sf\dfrac{200}{2}$ → $\sf\underline{Radius = 100m}$
☆Time taken by an athlete to complete one round : 30 seconds.
$\space$
$\sf\bold{To\:find:}$
❍Distance travelled by an athlete in 30 seconds.
$\space$
❍ AND,Distance travelled by the athlete will be equal to the cumference of the circle.
$\space$
$\space$ $\space$ $\space$ $\space$ $\space$ $\space$ $\sf{So,}$
$\mapsto$ $\sf{Circumference\:of\:the\:circle: 2 πr}$
$\space$
$\mapsto$ $\sf{Circumference=2\times}$ $\sf\dfrac{22}{7}$ $\sf{\times 100}$
$\space$
$\mapsto$ Circumference of the circle : $\sf\dfrac{4400}{7}$
$\space$
[tex]\sf\underline\bold{∴Circumference = 628.57m}[/tex]
$\space$
||Therefore,The distance travelled in 30 seconds, by the athlete is 628.57m.||
______________________0 = 1st answer
628.57 m = Question 2 answer.
What is the volume of the sphere below PLEASE HELP FAST
Answer:
c. 256π/3 units^3
Step-by-step explanation:
Recall that the volume V of a sphere with radius r is given as
V = 4 /3πr3
Hence from the image given, the radius of the sphere which is the distance from the center to any point on the circumference is 4 units hence the volume
V = 4/3 * π * 4^3
= 4/3 * π * 64
= 4*64/3 * π
= 256π/3 units^3
Option c is right
Circle the graphs of the functions.
How did you know which graphs showed a function?
i will mark brainliest
Answer:
Step-by-step explanation:
Relations are only functions if they do not share any x values at all! The 2 graphs there that do not have any of the same x values are graphs A and D. Notice that on graph B, there are several y values that share the x value of 2; on graph C, there are several y values that share the x value of 2.
Answer:
A and D only
Step-by-step explanation:
A function is a relation where each input has its own output ( each x values has its own corresponding y value ) If an input has more than one output than the relation is not a function.
We can tell if a graph shows a function or not by using the vertical line test. If you draw vertical lines on the graph and more than one point is on the vertical line drawn then the graph does not show a function.
For graph B if you draw a vertical line at x = -2 more than 1 point will be on the line meaning that the graph does not show a function.
For Graph C if you draw a vertical line at x = 2 more than 1 point will be on the line meaning that Graph C also does not show a function.
For Graphs A and D you can draw a vertical line anywhere on the graph and no more than 1 point will be on the line therefore Graphs A and D show functions.
Find the length of the third side. If necessary, round to the nearest tenth.
4
Submit Answer
Answer:
attempt 1 out of 2
PLS HELP ASAP
Answer:
5
Step-by-step explanation:
p=4 b=3 h=?
h²=p²+b²
=4²+3²
=16+9
h²=25
h=5
How do you solve combination (working together) rate problems example, if john can do a particular job in 4 hours, but Mitch can do the same job in 3, how long will it take them to do the same job if they work together?
3 hours and 30 minutes as ambod will work half the time
24 is between what integers
Answer:
23 and 25
Step-by-step explanation:
Integers are whole numbers that are either positive, negative, or zero. Fractions and decimals are not integers. Therefore, 24 is between 23 and 25.
Answer:
Positive 23 and positive 25
Step-by-step explanation:
What’s the answer to this question ?
Answer:
Step-by-step explanation:
[tex]\frac{3}{4} x \frac{8}{3} =2[/tex]
1. Sederhanakan dan nyatakan hasilnya dalam bentuk eksponen.
2. Nyatakan soal berikut dalam notasi ilmiah.
Answer:
>
Step-by-step explanation:
The sale price for a jacket that regularly costs $102.00 is now $74.00. With sales tax, a customer pays $82.40.
Please help, 20 points. Answer choices in the photo
The graph below shows the height of an object that has been launched off a 50 foot high wall. Approximately how long will it take to hit the ground?
Answer:
4.4
Step-by-step explanation:
Answer:
t = 4.4 seconds
Step-by-step explanation:
It hits the ground when the height is equal to zero
This occurs just before 4.5 seconds
t = 4.4 seconds
find the surface area of this cylinder??
Answer:
4
Step-by-step explanation:
A=ch
then,
2ft×2ft
4ft
Find the measure of the indicated angle to the nearest degree
We know
[tex]\boxed{\sf cos\theta=\dfrac{B}{H}}[/tex]
[tex]\\ \sf\longmapsto cos\theta=\dfrac{8}{16}[/tex]
[tex]\\ \sf\longmapsto cos\theta=\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto cos\theta=cos60[/tex]
[tex]\\ \sf\longmapsto \theta=60[/tex]
Finding Inverses
Find an equation for the inve
3.
y = 3x + 2
someone please help me I really need help on this or ill fail
Answer:
a. Smart Dot Company: C = 12 + 0.5·t
Communications Plus: C = 2.5·t
b. Please find attached the required tables created using MS Excel cell function tool
c. Please find attached the graph of both relationship created on the same grid with
Step-by-step explanation:
a. The monthly cost of the Smart Dot Company = $12
The hourly cost for internet use on Smart Dot Company = $0.50
The hourly cost of using the Communications Plus = $2.50
Therefore, the total monthly cost, C, for the duration of hours used, t, is given as follows;
Smart Dot Company: C = 12 + 0.5·t
Communication Plus: C = 2.5·t
b. The table of values are created using MS Excel as follows;
[tex]\begin{array}{ll}Smart \ Dot \ Company&\\Time \ (hours)&Cost \ (dollars)\\0&12\\2&13\\4&14\\6&15\\8&16\\10&17\end{array}[/tex] [tex]\begin{array}{ll}Communications\ \ Plus&\\Time \ (hours)&Cost \ (dollars)\\0&0\\2&5\\4&10\\6&15\\8&20\\10&25\end{array}[/tex]
c. Please find attached the graph of both relationship created on the same grid with MS Excel
