Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
Related Questions
Please answer this for me it’s due tonight!
Answers
Answer:
the answers are the first one and the third one.
A's slope is y = 5.75x + 3
B's slope is y = 5.5x + 4
Determining the Value of the Slope from a Table
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.
What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.
Answers
Answer:
3 and 5
Step-by-step explanation:
Hope this helped :)
I did the same assignment and it was right!
Answer:
here is the answer
Step-by-step explanation:
what is the translation of the expression 5 more than twice x
Answers
Answer:
5+2x
Step-by-step explanation:
Answer:
5 + 2x
Step-by-step explanation:
4/7 of a $42 restaurant bill = $ ?
Answers
The Answer Is:
24
-Hope this helps!
Answer:
24 Dollars
Step-by-step explanation:
In order to figure out the total, we must multiply 42 times 4/7. We get a total of 24.
Show me how to do this one someone help
Answers
Answer:
4
Step-by-step explanation:
Answer:
The slope of the line is y = -3x+4.
Write the equation of the parabola in vertex form.
Vertex: (−4,6); Point: (−2,−2)
Answers
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
A square plaza at a train station has a side length as shown. Which expression represents the area of the plaza in square meters?
2x + 6
x2 + 9
6x + 9
x2 + 6x + 9
Answers
here's the answer hope this helps :)
Answer:
D. x2 + 6x + 9
Step-by-step explanation:
For anyone who didn't understand the above answer^^
The scatterplot shows the number of hours that several students worked to sell tickets for a concert and the number of tickets that each student sold.
A graph titled Ticket Sales has number of hours on the x-axis, and number of tickets on the y-axis. Point (1, 60) is outside of the cluster.
Which data value would cause the interpretation of the data set to be overstated?
(1, 10)
(1, 60)
(9, 85)
(10, 80)
Answers
Answer:
B 1,60
Step-by-step explanation:
Answer:
B 1,60
Step-by-step explanation:
did the test
HELP WITH THIS OLEASE I WILL MAKE BRWINLIST
Answers
Answer:
y=6x-2
Step-by-step explanation:
I THINK I DID THIS LAST YEAR SO IM NOT COMPLETELY SURE HOPE THIS HELPS:)
Answer:
y=1.2x-2
Step-by-step explanation:
add 6x to both sides (5y = 6x-10)
divide both sides by 5 (y = 1.2x - 2)
one point you will find on (0,-2) and another point will be (5,4)
you need at least 2 points to graph the line
and Slope
Which point-slope equation represents a line that passes through (3,-2) with a slope of - 4?
5
Oy-3=-=(x + 2)
Oy-2 = (x-3)
Oy+2=-(-3)
Oy+3 = (x + 2)
Answers
Answer: y+2=-4/5(x-3)
Step-by-step explanation:
The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is a slope of a line and a point passing by it, we need to find the equation of the line,
So, the general equation of the line is :-
y = mx + c
where, m is the slope, and the c is the y-intercept.
Put the value of the slope given, in the equation,
y = -4x+c
Now, for find the value of c, just put the values of the x and y from the point in the equation,
-2 = -4(3) + c
c = -2+12
c = 10
Now, we get the value of the c,
So, the equation is y = -4x+10
Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10
Learn more about equation, click;
https://brainly.com/question/29657983
#SPJ7
i will literally pay you pls help me :(
Answers
The answer is 35
Since they are supplementary they both equal 180 degrees.
(3x+10)+(2x-5)=180
Add them up
5x-5=180
Subtract 5 from both sides
5x=180-5
5x=175
Divide 5 from both sides
x=35.
hello… please help What is a parabola in mathematics?
Answers
Example below:
Is this a function or no
Answers
Answer:
No
Step-by-step explanation:
It is not properly done.
hope this helps x
The length of a rectangular sandbox is
6
feet less than
3
times the width. The perimeter of the sandbox is
36
feet.
Which statement is true?
The equation
(
3
w
−
6
)
+
w
=
36
can be used to find the width of the rectangle, and the width is
6
feet.
The equation ( 3 w − 6 ) + w = 36 can be used to find the width of the rectangle, and the width is 6 feet.
The equation
(
3
w
−
6
)
+
w
=
36
can be used to find the width of the rectangle, and the width is
12
feet.
The equation ( 3 w − 6 ) + w = 36 can be used to find the width of the rectangle, and the width is 12 feet.
The equation
2
(
3
w
−
6
)
+
2
w
=
36
can be used to find the width of the rectangle, and the width is
6
feet.
The equation 2 ( 3 w − 6 ) + 2 w = 36 can be used to find the width of the rectangle, and the width is 6 feet.
The equation
2
(
3
w
−
6
)
+
2
w
=
36
can be used to find the width of the rectangle, and the width is
12
feet.
Answers
Answer:
so the correct statement is;
The equation 2 ( 3 w − 6 ) + 2 w = 36 can be used to find the width of the rectangle, and the width is 6 feet
Step-by-step explanation:
Here, we want to select the statement which is true
Let the width be w
the length is 6 ft less than 3 times the width
The length will be (3w - 6) ft
Mathematically, the perimeter of a rectangle can be calculated using the formula;
2( l + b) = P
Thus;
2(3w -6 + w) = 36
divide both sides by 2
3w -6 + w = 36/2
3w -6 + w = 18
4w -6 = 18
4w = 18 + 6
4w = 24
w = 24/4
w = 6
Simplify the expression.
−(−x)3 − x3
Answers
Answer:
0
Step-by-step explanation:
-(-x) ^3-x^3
x^3-x^3
=0
7-5(x+6)= -7x-17 what value of x makes the equation true?
Answers
Answer:
x=3
Step-by-step explanation:
7-5(x+6)= -7x-17
Distribute
7 - 5x-30 = -7x-17
Combine like terms
-5x-23= -7x-17
Add 7x to each side
-5x-23+7x= -7x-17+7x
2x -23 = -17
Add 23 to each side
2x-23+23 = -17+23
2x= 6
Divide by 2
2x/2 = 6/2
x =3
Answer:
x = 3
Step-by-step explanation:
7 - 5(x + 6) = -7x - 17
~Simplify left side
7 - 5x - 30 = -7x - 17
~Combine like terms
-5x - 23 = -7x - 17
~Add 23 to both sides
-5x = -7x + 6
~Add 7x to both sides
2x = 6
~Divide 2 to both sides
x = 3
Best of Luck!
Helps me solve this problem please
Answers
Answer:
6Step-by-step explanation:
2x - 3x + 20 + 5x - 40 = 4 combine like terms
(2x - 3x + 5x) + (20 - 40) = 4
4x - 20 = 4 add 20 to both sides
4x = 24 divide both sides by 4
x = 6
What is 64^2/4 in a fraction?
Answers
Answer:
128/4 or 32
Step-by-step explanation:
Pls help ASAP!
Consider this linear function:
Y= 1/2x + 1
Plot all ordered pairs for the values in the domain.
D: { -8,-4,0,2,6}
Answers
y=1/2x+1, so for this one we will replace x with -8. so y=1/2(-8)+1= -4+1=-3
so the first set of coordinates with be (-8,-3)
What is the slope of the line y = -2?
Answers
Answer:
0
Step-by-step explanation:
There is no x, therefore there is no slope.
I need a quick run down of point slope form
Answers
Answer:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
Step-by-step explanation:
Answer:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line.
Hope this helps you Stay happy and safe ✌️The price for a cell phone was reduced from $30 to $18. By what percentage was the cell phone reduced?
Answer choices:
25%
40%
15%
Answers
Answer: 40%
Steps: Forty percent of $30 is $18.
Plz mark brainliest:)
Answer:
25%
Step-by-step explanation:
I'LL GIVE BRAINLIEST IF YOU ANSWER PLEASE I'M BEGGING
Answers
Answer:
A.
Step-by-step explanation:
Answer:
The answer is a.
Step-by-step explanation:
When you plug in 2 for n, 2 - 1 1, so we put 5 for a (because a superscript 1 = 5) and evaluate. This number then become a superscript 2.
Factor 2x^3-5x^2-4x+3
Answers
Answer:
(2 x - 1) (x + 1) (x - 3)
Step-by-step explanation:
Factor the following:
2 x^3 - 5 x^2 - 4 x + 3
Hint: | Find all linear factors of 2 x^3 - 5 x^2 - 4 x + 3 via the rational root theorem. Do this by finding rational roots. The candidates are x = ± p/q for all p that are divisors of the constant term 3 and for all q that are divisors of the leading coefficient 2.
The possible rational roots of 2 x^3 - 5 x^2 - 4 x + 3 are x = ± 1/2, x = ± 3/2, x = ± 1, x = ± 3. Of these, x = 1/2, x = -1 and x = 3 are roots. This gives 2 x - 1, x + 1 and x - 3 as all factors:
Answer: (2 x - 1) (x + 1) (x - 3)
2(b + 2) > 4(1 + 5b) -b
Answers
Answer:
b<0
Step-by-step explanation:
2(b+2)>4(1+5b)−b
Step 1: Simplify both sides of the inequality.
2b+4>19b+4
Step 2: Subtract 19b from both sides.
2b+4−19b>19b+4−19b
−17b+4>4
Step 3: Subtract 4 from both sides.
−17b+4−4>4−4
−17b>0
Step 4: Divide both sides by -17.
−17b
−17
>
0
−17
b<0
Answer:
b<0
Answer:
2(b + 2) > 4(1 + 5b) -b
2b + 4 > 4 + 20b -b
2b - 20b + b > 4 - 4
-17b > 0
b < 0/-17
b < 0
please help!! i need math help loll
Answers
Answer:
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
3 * 3 * 3 = 27
Hope this helps and pls do mark me brainliest if you can:)
y > 3x + 1
2x + 3y 2 6
Answers
What is the slope line through (0,4) and (3,2)?
Answers
Answer:
The answer is -2/Trust
Step-by-step explanation:
Answer:
Its D 100%
Step-by-step explanation:
A basketball team played five games. In those games, the team won by 7 points, lost by 3, won by 4, lost by 2, and won by 9. What was the mean difference in game scores over the five games? The mean difference in game scores over the five games was
Answers
Given:
A basketball team played five games.
In those games, the team won by 7 points, lost by 3, won by 4, lost by 2, and won by 9.
To find:
The mean difference in game scores over the five games.
Solution:
Total number of games = 5
Scores in 5 matches are 7, -3, 4, -2, 9.
Positive sign is used for winning and negative sign is used for losing the game.
We know that,
[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]Mean=\dfrac{7-3+4-2+9}{5}[/tex]
[tex]Mean=\dfrac{20-5}{5}[/tex]
[tex]Mean=\dfrac{15}{5}[/tex]
[tex]Mean=3[/tex]
Therefore, the mean difference in game scores over the five games was 3.
Six different colored dice are rolled. Of interest is the number of dice that show a one. In words, define the random variable X. List the values that X may take on. Give the distribution of X. X ~ _____(_____,_____) On average, how many dice would you expect to show a one? Find the probability that all six dice show a one. Is it more likely that three or that four dice will show a one? Use numbers to justify your answer numerically.
Answers
Answer:
Step-by-step explanation:
Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.
Hence, 6 dice are rolled at once for this experiment.
Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:
The number of dots that show on the upward face of the rolled dice.
The values that X may take on are:
1 2 3 4 5 6
On average, how many dice would you expect to show a one?
One die.
How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.
Find the probability that all six dice show a dot in just one toss.
Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.
1/6 divided by 6 = 0.167/6 = 0.028 approximated to three decimal places.
This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!
Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?
The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.
Kudos!