2 + x = -19 <=> x = -19 -2 = -21
Rationalize the denominator and simplify the following expression:
fraction numerator 4 plus square root of 2 over denominator 2 space minus square root of 2 end fraction
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]
The bed in the bedroom of Melanie's dollhouse is 4 inches long. The bed in Melanie's real bedroom is 6 feet long.
What is the unit rate that compares the length of the bed in the bedroom to the length of the bed in the dollhouse?
Enter your answer, as a mixed number in simplest form, by filling in the boxes.
Answer: 1 1/2
Step-by-step explanation: I took it on k12
Answer:
The answer is 1 1/2 for K12
PLEASE HELP WITH THIS ONE QUESTION
FACTOR THE FOLLOWING COMPLETELY:
help pls ill give brainly
Answer:
Find the Diameter!
To find the diameter, get the cirumference, divide it by 2, and multiply it by Pi (3.14)
For this certain equation, it appears the circumference is 13. 13/2 is 6.5. 6.5 times 3.14 is 20.41.
Answer:
I think the other guy is correct I'm just putting this here so you can give him/her brainliest
Step-by-step explanation:
[tex]5/12 + 11d/12 - 3 = 3d + 7 - 4d.[/tex]
PLEASE HELP!!
please answer numbers 1-5 i need them soon
Answer:
Step-by-step explanation:
1) 1. AB ≅ CD Given
2. AD ≅ CB Given
3 . BD ≅ BD Reflexive property
4. ΔABD ≅ ΔCBD S S S congruent
2) 1. GH // JK Given
2. ∠HGJ ≅∠KJG Given
3. GH ≅ JK Given
4 . GJ ≅ GJ Reflexive property
5. ΔHGJ ≅ ΔKJG S A S congruent
3) ΔJNK ≅ ΔMNL SSS congruent
JK = ML CPCT
JK = 160 ft
4) ΔRPS ≅ ΔTQS A A S congruent
RS ≅ TS
RS = 85 m
5)ΔDEF ≅ΔGHJ
GJ = DE {CPCT}
6x - 13 = 3x + 2
6x = 3x + 2 + 13
6x = 3x + 15
6x - 3x = 15
3x = 15
x = 15/3
x = 5
HJ = 5x = 5*5 = 25
Add 1, multiply by 2. 2 First
Answer:
2+1×2=6
6+1×2=14
14+1×2=30
And so on
AT WHAT X-VALUE DOES A
RELATIVE MINIMUM
OCCUR?
Answer:
x ≈ 4.239
Step-by-step explanation:
A relative minimum is found at the bottom of any U-shape on the graph. If you expand the graph shown until it has a suitable scale, it can show you the relative minimum occurs at x ≈ 4.239.
__
Additional comment
The relative maximum occurs at the top of any ∩-shape. The graphing calculator can show you that occurs at x ≈ -1.573.
Problem 1
Each scholar in fifth grade participates in one of the three extracurricular activities: sports,
chess, or art.
2/5 of the fifth grade scholars participate in sports
1/4 of the fifth grade scholars participate in chess
What fraction of the fifth grade scholars participate in art?
Answer:
7/20 participate in art.
Answer:
7/20 hcjauwauhfehhfieafuewaueiwavibiurbviubwibvebaiubj
Susie catches 15 butterflies and lets 6 butterflies go for three days in a row
Answer:
Sorry don't report pls I need the points
Step-by-step explanation:
can someone help me with this please?
Answer:
Okay, Please copy paste the question. I cannot see.
Step-by-step explanation:
The additive inverse of [tex]a-b[/tex] is:
A. a + b
B. -a + b
C. -a - b
D. [tex]1/a-b[/tex]
Additive inverse refers to any number that when added to the original number gives the result as zero.
[tex]a-b +AI = 0\\\\\implies AI = b-a = -a+b[/tex]
Select the correct answer.
Solve the following inequality.
-8 < 3x + 1 < 7
A.
B.
C.
D.
Answer:
-3 < x < 2
Step-by-step explanation:
-8 < 3x + 1 < 7
-8 < 3x + 1 ....... eqn 1
3x + 1 < 7 ...........eqn 2
-8 < 3x + 1
-8 - 1 < 3x
-9 < 3x
-9/3 < x
-3 < x
3x + 1 < 7 ...........eqn 2
3x < 7 - 1
3x < 6
x < 6/3
x < 2
= -3 < x < 2
HELP ASAP DUE IN 5 MIN I WILL GIVE 15 POINTS QND MARK BRAINLIEST DO NOT SPAM As a kitten, Mittens weighed 2 3/4 pounds. At his 6-month check-up with the vet, Mittens weighed 6.5 pounds. How much weight did Mittens gain between the time he was a kitten and his 6-month check-up? Enter your answer as a decimal or simplified mixed number in the box.
Answer:
3.75
Step-by-step explanation:
Answer:
3.75
Step-by-step explanation:
Hope this helps
Have a great and blessed day :)
(7 x 10^-6)(7 x 10^-6) pls help <:D
we have (7 x 10^-6)(7 x 10^-6) = (7 x 10^-6)^2 = 49 x 10^-3 = 0.049
ok done. Thank to me :>
which one of the congruency statements are true?
Answer:
line segment BC=line segment XY
Step-by-step explanation:
The last choice :)
A washer and dryer cost 809. The washer is 59 dollars more than the dryer how much does the dryer cost
Answer:
The dryer cost $350.
Step-by-step explanation:
Answer:
$375
Step-by-step explanation:
809 - 59 = 750
750 / 2 = 375
Convert the improper fraction below to a mixed number. 13/4
Answer:
3 1/4
Step-by-step explanation:
George eat 3/8 a pizza and 1/4 of pizza
What fraction of pizza has George eaten
Answer: 5/8
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
1/4=2/8
2/8+3/8=5/8
In △ABC, m∠A = 75° and m∠C = 20°, What is m∠B?
Answer:
30 degree ok please make me brainliest
Answer:
∠ B = 85°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ A + ∠ B + ∠ C = 180° , substitute values
75° + ∠ B + 20° = 180°
∠ B + 95° = 180° ( subtract 95° from both sides )
∠ B = 85°
9.2 less than 3 times a number is the same as 21 1/4
Answer:
10.15
Step-by-step explanation:
3x-9.2 = 21.25
3x = 30.45
x = 10.15
Answer:
10.15
Step-by-step explanation:
I took the K12 test
Use the table below to answer the following question,
2:
хо 1 2 3 4 5 6
y 100 200 400 800 1,600 3,200 6,400
Which equation BEST fits the data given in the table?
se 3:
Of(x) = { (200)*
Of(x) = 100(2)*
uge 4
f(x) = 200)
age 5
Of(x) = 200(2)*
5
Previous Page
Next Page
Page 2 of 11
Answer Of(x) = 200(2)
Step-by-step explanation:
Of(x) = 200(2)
(I am giving branlest) (plz help only if you understand )
Solve five ninths plus four sixths.
sixty six fifty fourths
ten fifteenths
nine tenths
thirty ninths
Answer:
hey mr. one eyed ghoul
Step-by-step explanation:
Solve for x
(x+16) over 3 = 3x
a. X=-7
b. X=-13
c.x= 8
d. X= 2
Answer:
X=8
Step-by-step explanation:
8+16=24
and 3(8)=24
Describe how the point-slope formula is useful when writing the equation of a trend line
Step-by-step explanation:
if you observe the graph the y values increase as the x value increase.
so it has a possitive association.
if the value of y increase as the value of the x increase then data has positive association.
Dimensional analysis
Answer:
On the LHS:
Frequency is measured in rad/s, or [tex]s^-^1[/tex];.
On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.
[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]
Solve −3x2 + 30x − 90 = 0
Step-by-step explanation:
so, it is a quadratic equation :
-3x² + 30x - 90 = 0
the first thing we can do is divide by 3
-x² + 10x - 30 = 0
remember, the formula to solve and find the 2 solutions is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case here
a = -1
b = 10
c = -30
x = (-10 ± sqrt(100 - 4×-1×-30))/-2 =
= (-10 ± sqrt(100 - 120))/-2 = (-10 ± sqrt(-20))/-2 =
= (-10 ± sqrt(4×5)i)/-2 = (-10 ± 2×sqrt(5)i)/-2 =
= 5 ± -sqrt(5)i
x1 = 5 - sqrt(5)i
x2 = 5 + sqrt(5)i
remember, i = sqrt(-1), a complex number.
Find the length of PQ.
The regular price of a refrigerator is $877. At a discount store, the price is $523. How much money can
Lena save by buying the refrigerator at the discount store?
Answer:
$345 is how much Lena can save
Step-by-step explanation:
In the base ten number 4325 , how many times
greater than the value represented by the digit 2 is the value represented by the digit 4 ?
Using the concept of place value, the digit 4 is 200 times greater than the digit 2.
Given the number :
4325The digit 2 is in the tens place = 2 × 10 = 20
The digit 4 is in the thousand place = 4 × 1000 = 4000
The number of times greater can be obtained thus :
4000 / 20 = 200Hence, the digit 4 is 200 times greater than the digit 2.
Learn more : https://brainly.com/question/14760328