Simplify: [tex]\frac{1}{\sqrt{5}-\sqrt{7}+\sqrt{12}}[/tex]
Make use of the difference of squares identity,
[tex]a^2-b^2=(a-b)(a+b)[/tex]
Let [tex]a=\sqrt5-\sqrt7[/tex] and [tex]b=\sqrt{12}[/tex]. Then
[tex]\dfrac1{(\sqrt5-\sqrt7)+\sqrt{12}}\cdot\dfrac{(\sqrt5-\sqrt7)-\sqrt{12}}{(\sqrt5-\sqrt7)-\sqrt{12}}=\dfrac{(\sqrt5-\sqrt7)-\sqrt{12}}{(\sqrt5-\sqrt7)^2-(\sqrt{12})^2}=\dfrac{\sqrt5-\sqrt7-\sqrt{12}}{5-2\sqrt{35}+7-12}=-\dfrac{\sqrt5-\sqrt7-\sqrt{12}}{2\sqrt{35}}[/tex]
Now multiply the numerator and denominator by √(35):
[tex]-\dfrac{\sqrt5-\sqrt7-\sqrt{12}}{2\sqrt{35}}\cdot\dfrac{\sqrt{35}}{\sqrt{35}}=-\dfrac{(\sqrt5-\sqrt7-\sqrt{12})\sqrt{35}}{70}=-\dfrac{5\sqrt7-7\sqrt5-2\sqrt{105}}{70}[/tex]
Answer:
Multiply the numerator and denominator by the conjugate.
Exact Form:
1√5−√7+2√3
Decimal Form:
0.75267290…
can someone help me please! :)
Answer:
Part A: The scale factor is .5 going from the larger to the smaller.
Part B: 5.5 feet.
Step-by-step explanation:
A: I know this because if you look at the length of the smaller rectangle versus the larger, you will see that it is half as much.
B: I know this also because 5.5 is half of 11.
Paige is driving on a highway at a steady rate of 60 miles per hour. The table shows the distance traveled for different numbers of hours. Drag each list, statement, or equation below to show whether it describes the independent quantity, the dependent quantity, or neither.
Answer:
The distcance is dependent
The time is independent
The 1,2,3,4, are independant
The other numbers are dependent
And the equation is neither
Step-by-step explanation:
Answer:
Step-by-step explanation:
The distcance is dependent
The time is independent
The 1,2,3,4, are independant
The other numbers are dependent
And the equation is neither
GIVING BRAINLIEST Katie and Mina both commute to work. Katie's commute on the train takes 10 minutes more than one half as many minutes as Mina's commute by car. It takes Katie 30 minutes to get to work. Write an equation to determine how many minutes it takes Mina to get to work. 30 = one halfx + 10 30 = one halfx − 10 30 = 2x − 10 30 = 2x + 10
Answer:
Simplifying
2x + -10 = 10 + -3x
Reorder the terms:
-10 + 2x = 10 + -3x
Solving
-10 + 2x = 10 + -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
-10 + 2x + 3x = 10 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-10 + 5x = 10 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 5x = 10 + 0
-10 + 5x = 10
Add '10' to each side of the equation.
-10 + 10 + 5x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10
Combine like terms: 10 + 10 = 20
5x = 20
Divide each side by '5'.
x = 4
Simplifying
x = 4
dose this help?
Answer:
30 1/2x +10
Step-by-step explanation:
Option A
I had this same question on a quiz and I got it right.
BRAINLIEST PLEASE!!!
Indicate the sign relationship and how to solve it. -28+13
Same signs
Different signs
add
subtract
Answer:
15 different signs
Step-by-step explanation:
What is the least common multiple of 6 and 12?
2
12
24
36
Answer: The least common multiple of 6 and 12 is 36
George has $5.00 to spend on candy. If each candy bar costs $0.65, how many bars can he buy?
This can't be hard right :P oh and btw
SHOW YOUR WORK or i'll just take your answer off and let someone else answer.
ALSO i'll let you know if ur wrong :)
Answer:
7
Step-by-step explanation:
id did 5 under the roof and .65 above the roof and got 7.69...
the .69... is a remainder or wat ever so ignore it.
the answer is 7
Persevere in Problem Solving Find a sequence of three transformations that can be used to obtain figure D from figure A. Graph the figures B and C that are created by the transformations.
Answer:
graph the figures B
Step-by-step explanation:
The Rodriguez family ate One-third of a pan of brownies, and they plan to divide the remaining brownies into two equal parts. They will take one part to their block party and the other part to share with co-workers. How much of the whole pan of brownies will each place get? A model has 2 shaded parts and 1 unshaded part.
One-sixth, One-third ,One-half or Two-third
Answer:
One-third
The Rodriguez family ate One-third of a pan of brownies, and they plan to divide the remaining brownies into two equal parts. They will take one part to their block party and the other part to share with co-workers. How much of the whole pan of brownies will each place get? A model has 2 shaded parts and 1 unshaded part.
Answer:
1/3 is correct
Step-by-step explanation:
Someone help me with these two problems tell me the answer and how you did it this equations!
Answer:
1= 1 7/36
2= 1/2
Step-by-step explanation:
1.) 7/9+5/12
find the LCM of 9 and 12
LCM= 36
(7/9 x 4/4) + (5/12 x 3/3)
28/36+15/36
= 43/36
Divide 43 by 36 to make it a mixed fraction
1 7/36
2.) 21/24 - 3/8
find LCM of 24 and 8
LCM = 24
(21/24 x 1/1)+ (3/8 x 3/3)
21/24 + 9/24
30/24
Divide 30 by 24 to make it mixed fraction
= 1 6/24
Hope it helps
Please mark me as the brainliest:)
For every 5$,his parents give him 10,he he had saved 150,how much will they give him????
Answer:
They will about 300 dollars if they are doubling the price. If it is just adding five than it is 155.
5 + x/4 = 1 solve step by step
x
=
−
16
Explanation:
Isolate the term in
x
on the left side:
5
−
5
+
x
4
=
1
−
5
x
4
=
−
4
←
multiply both sides by 4
4
1
×
x
4
=
−
4
×
4
x
=
−
16
Answer:
x = -16
Step-by-step explanation:
5 + x/4 = 1
Subtract both sides by 5
x/4 = -4
Multiply both sides by 4
x = -16
HELP!!! ITS A K12 QUESTION!!!!!!!!!!!
Answer:
-1 1/4 is the answer :)
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
Drag each scenario to show whether the final result will be greater than the original value, less than the original value, or the same as the original value.
Answer:
HMMM
Step-by-step explanation:
Answer:
Step-by-step explanation:
Greater Than The Original:
100% Followed By 33 1/3%
Less Than The Original:
75% Followed By 50%
60% Followed By 40%
Same As The Original:
$20 Followed By $20
50% Followed By 33 1/3%
Please help!!! Math is not my thing
Explain how you would use fraction bars to find the quotient of 10/12Divided by 4/6 what is the quotient
Answer:
11/4
Step-by-step explanation:
Draw one whole fraction bar. Next, draw 6 equal bars under it, since you are dividing by sixths. Then draw a twelfths fraction bar with 2 twelfths for each sixth bar. Above the twelfths bar, circle groups of 4 sixths. There is one group of 4/6 with 1/6 remaining. Since 1/6 is 1/4 of 4/6, the quotient is 1 1/4.
i need help with this question.It can not be in square units.
Answer:
√21
Step-by-step explanation:
If m is a positive integer, what is the least value of m for which 225 is a factor of 120m? Please explain your answer
OPTIONS:
A) 3
B) 5
C) 15
D) 25
E) 30
The least value of the variable 'm' will be 15. Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
If m is a positive integer. And the least value of m for which 225 is a factor of 120m.
Then the factor of the number 225 will be given as,
225 = 3 x 3 x 5 x 5
Then the factor of the number 120m will be given as,
120m = 2 x 2 x 2 x 3 x 5 x m
The least value of 'm' will be given as,
⇒ 3 x 5
⇒ 15
The least value of the variable 'm' will be 15. Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
-x + 5(x + 6) = 4x + 30 number of solutions
Answer:
0
Step-by-step explanation:
-x+5x+30=4x+30
4x-4x+30-30
0
If a decimal number does not repeat, it ends with which number?
Answer:
A repetend / reptend
Step-by-step explanation:
This is because most of the times this number is a 0. And a zero is normally a place holder so we don't add it. And if the repetend is zero the decimals is know as a terminating decimal.
HOPE IT HELPED
At lunch, Noah buys two tacos for $2.35 each, chips and salsa for $1.85, and lemonade for $1.60. To pay for his meal, he uses $5.00 from a gift card he has, and then he pays for the rest with a $20.00 bill. Which equations show how much change Noah receives?
Answer:
$16.85
Step-by-step explanation:
$2.35(2) + $1.85 + $1.60
$4.70 + $1.85 + $1.60
$6.55 + $1.60
$8.15
- $5.00
$3.15
---------------------------
$20.00
- $3.15
$16.85
Answer:
the answer to this is C
Step-by-step explanation:
please its past due, will give brainlist, there is a pt. 2
Answer:
First we add 7 on both sides
-7x+3y= -6.3
+7. +7
___________
then we simply
-7x + 7x= -1
bring down the 3y
-6.3+ 7x = 0.23
So, -1x+3y=0.7
2y = 0.7
___ __
2. 2
y = 0.35 or 35!!
Step-by-step explanation:
Hope this helps
Ana and Jesse are scuba diving. Ana is 35 meters below the surface of the water, and Jesse is 8 meters directly below her. What is Jesse's current position relative to the surface of the water?
Answer:
The answer is 43 meters below the water.
Step-by-step explanation:
Ana is 35 meters below the water's surface, so if Jesse is 8 meters below her, you would add 8 to 35 and end up with 43 meters below the surface of the water.
Math. Is. Hard. ooferz
Answer:
The Answer is b
Step-by-step explanation:
whenever they say "Using Oder of Operations" they are talking about Pemdas. if you look in the image here the first step is parenthesis so that means you first have to solve (4-2)
after you do that it should look like this
evaluate the expression solve for y = 1
-11.8 + 33.4y
Paige takes riding lessons 5 days per week for 2 1/4 hours each day. Maggie takes guitar lessons twice a week for 2 1/4 hours each day. Which girl spends more hours on lessons? How many more hours?
Answer: the answer is Maggie cuz it's per day not per week
Answer:
paige, 10 3/4
Step-by-step explanation:
Are the fractions 7/9 and 4/9 like fractions? Explain your
answer.
can someone say the answer and explain how you got it
Answer:
No
Step-by-step explanation:
Because they are not proportional they do are not a multiple of each other
Answer:
yes
Step-by-step explanation:
both demnominator are the same so they are like fractions
what is 5 x 4 i will give you brainlist
Each graph shows two polygons ABCD and A'B'C'D'. In each case, describe a sequence of transformations that takes ABCD to A'B'C'D'.
Answer:
You have to go clockwise and 90 degrees and the rest is self explanatory. Hope I helped.
Step-by-step explanation:
The required transformation of the polygons ABCD to A'B'C'D' is 7 units right and a clockwise orientation.
Given that,
Each graph shows two polygons ABCD and A'B'C'D'. In each case, To describe a sequence of transformations that takes ABCD to A'B'C'D'.
A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of the polygon, equilateral triangle, square, pentagon etc
Here,
Polygons ABCD is at the left side of the y-axis and after transformation is shifted to the right of the y-axis by 7 units as the Location of Point A and the Location of point B' is 7 units apart. And is also oriented to 90° clockwise.
Thus, the required transformation of the polygons ABCD to A'B'C'D' is 7 units right and a clockwise orientation.
Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ2
The value of the surface area is the same as the value of the volume. Find the value of x, then the surface area & volume of the cylinder. I also need an explanation. Diameter=7 [tex]\frac{1}{5}[/tex] ft, height=x
Here is my attempt:
I hope this helped
