Answer:
Statement 1 is true; Statement 2 is false.
Step-by-step explanation:
Statement 1:
√12 - √8 = a
Let's use the given value of √12 + √8 ,that is, 4/ a.
If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:
=> (√12- √8)(√12 + √8) = a × 4/a
On the LHS,
identity used:
(a-b)(a+b) = a²-b²
On the RHS:
a gets canceled due to its presence in both the numerator as well as the denominator.
=> 12 - 8 = 4
=> 4 = 4
That's it!
We got LHS = RHS, that approves the existence of the given statement.
___________________
Statement 2:
"a + √b is called the rationalizing factor of c + √d if their product is 1"
That's not entirely right!
The correct statement would be:
" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."
Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.
___________________
Answer:
Hence, I'd say:
Statement 1 is correct but Statement 2 isn't.
That's the third option.
13^5/13^x=13^4
Does anyone know how to solve this?
[tex]\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1[/tex]
ANSWER: x = 1
ok done. Thank to me :>
Which expression can be used to find the surface area of the following square pyramid?
ea
Choose 1 answer:
100 + 80 + 80 + 80 + 80
100 - 80
10 + 10 +8+8+8+8
100 + 40 + 40 + 40 + 40
Answer:
surface area=1/2perimeterofbase+slantheight+b(base)
Step-by-step explanation:
1/2(40)=20(8)=160+100=260D
Answer:
is 10+10+8+8+8+8
Step-by-step explanation:
just trial. not sure
pls answer quickly
Students at a school were asked to state their preferences in music. Results of the survey are shown in the circle chart.
What percent of students preferred rock and classical music?
A) 15%
B) 26%
C) 39%
D) 57%
Answer:
B) 26%
Step-by-step explanation:
The yellow part of the graph represents Rock, which is 15%, and the red part of the graph represents Classical. So, you simply add them together.
Answer:
B) 26%.
Step-by-step explanation:
Find the Rock percentage in the chart. (15%)
Find the Classical percentage in the chart. (11%)
Add the Rock and Classical percentages together. (26%)
Which are the intercepts of the equation y+2=4(x+1) ?
Answer:
y=2×5
Step-by-step explanation:
sorry if im wrong
Find the equation of the line passing through the points (-1,7) and
(2,-8). Write the equation in slope-intercept form.
A) y = -5x + 2
B) y = -5x + 7
C) y = 5x + 12
D) y = 5x – 18
Please help
-19x-17 = -93
Also when you solve it has to be with the addition property of equality
Answer:
Addition property of equality formula
Lesson Summary
We learned that the addition property of equality tells us that if we add the same quantity to both sides of an equation, then our equation remains the same. The formula is if a = b, then a + c = b + c.
Step-by-step explanation:
How long is a bus journey that starts at 8.55 a.m. and ends at 9.17 a.m.?
Please can you put the answer in minutes?
Answer:
5+17=22 minute
The length of a rectangle is 6 inches more than 4 times its width. A similar
rectangle has a length of 18 inches and a width of 4 inches. What is the area of the
first rectangle??
Answer:
18 × 4 is 72...
so.. the area of rectangle is 72inches²
Step-by-step explanation:
to find the area of rectangle is Lenght multiple with its Width
The following angles are
Supplemnetary
Linear Pair
Adjacent
Vertical Angles
[tex]\huge \bf༆ Answer ༄[/tex]
The shown pair of Angles are known as Adjacent Angles, because they have one Arm in common.
Find the inverse function. 1 f(x) = 1 = 2x+2 + f-1(x) = [? ]x + [
Answer:
y= 2x - 1
Step-by-step explanation:
i hope that helps
Basically find the circumcenter.
the map shows the three most highly populated location of a city, City officials want to build an emergency healthcare cent in a location that sis the same distance from each of the three locations. Find the coordinates of the location the city should use for the emergency healthcare center.
Coordinates:
A(2,14) B(12,14) C(5,0)
Answer:
(7 , 7.75)
Step-by-step explanation:
17. The sides of a rectangle are in the ratio of 5 : 4. If its perimeter is 144 cm,
then its length is
bi
a) 40 cm
b) 20 cm
c) 30 cm
d) 60 cm
What is the answer
Answer:
Option A
Step-by-step explanation:
Let,
Length = 5x
Breadth = 4x
Perimeter = 2(l + b)
=> 144 = 2(5x + 4x)
=> 144 = 2(9x)
=> 144 = 18x
=> 144/18 = x
=> 8 = x
Therefore,
Length = 5x = 5(8) = 40 cm
The price of an item has been reduced by 20% The original price was $32 find the price of the item now.
Answer:
25.6
Step-by-step explanation:
32-(32*20%)=32-6.4=25.6
Plz send right answers I need this right plzzz !!!!
Answer:
its d
2.52x
3.40
____
0.00+
1.080+
7.5600
______.
8.658
Answer:
D. 8.568
Step-by-step explanation:
A quick tip is ignore the decimal points and just multiply, (which they already did for you) then add the decimal how many ever points forward the two multiples are combined.
So for 8568, since you have 2 . 52 3 . 4 you take it 3 points forward to right between the 8 and 5 for 8.568....
Also, just a word of advice, 4*4 is 16 so the answer couldn't be higher than 16, so A and C are wrong. B is actually switching the 6 and 5 so it's also wrong leaving only D
Which polynomials are listed with their correct additive inverse? Check all that apply. X2 3x â€"" 2; â€""x2 â€"" 3x 2 â€""y7 â€"" 10; â€""y7 10 6z5 6z5 â€"" 6z4; (â€""6z5) (â€""6z5) 6z4 x â€"" 1; 1 â€"" x (â€""5x2) (â€""2x) (â€""10); 5x2 â€"" 2x 10.
Given to us:
[tex](a)\ x^2+3x-2;\ -x^2-3x+2\\\\(b)\ -y^7-10;\ -y^7+10\\\\(c)\ 6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4;\\\\(d)\ x-1;\ -x+1\\\\(e)\ (-5x^2) + (-2x) + (-10);\ 5x^2 - 2x + 10[/tex]
Additive inverse means changing the sign of the number and adding it to the original number to get 0(zero) as our answer.
(a)
[tex]x^2+3x-2;\ -x^2-3x+2)\\x^2+3x-2 +( -x^2-3x+2)\\[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(b)
[tex]-y^7-10;\ -y^7+10\\-y^7-10+( -y^7+10)[/tex] on solving this we will not be getting zero.
hence, this is not an additive inverse.
(c)
[tex]6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4,\\\\6z^5+6z^5-6z^4+[ (-6z^5)-(6z^5)+6z^4}[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(d)
[tex]x-1;\ -x+1\\x-1+( -x+1)[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(e)
[tex]-5x^2 + -2x -10;\ 5x^2 (- 2x) + 10\\-5x^2 + -2x -10+ 5x^2 (- 2x) + 10[/tex] on solving this we will not be getting zero.
hence, this is not an additive inverse.
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Given the function below find f(-2).
f(x)=x2−3x+5
Group of answer choices
10
15
20
25
PLEASE HELP ASAP!!!
Complete this item.
For the following figure, can you conclude that l || m? Select true or false.
Answer:
d
Step-by-step explanation:
[tex] \qquad \quad\huge \bf༆ Answer ༄[/tex]
The statement is False !
If we observe the two line, we get the results that pair of corresponding angles in the given figure isn't equal. therefore we can conclude that the lines are not parallel
The difference of x and 15 is 62. Solve for x
Answer:
x is either 77 or -47
Step-by-step explanation:
Answer: either 77 or -47
Step-by-step explanation:
Emily has a bag that contains apple chews, cherry chews, and peach chews. She
performs an experiment. Emily randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Emily performs the experiment 53 times. The
results are shown below:
An apple chew was selected 46 times.
A cherry chew was selected 5 times.
A peach chew was selected 2 times.
Based on these results, express the probability that the next chew Emily removes
from the bag will be apple chew as a percent to the nearest whole number.
Answer:
5%
Step-by-step explanation:
So far, the experiment is done 53 times
Out of the 53 times, an apple chew was selected 46 times
To do this problem, you will do #of times apple chew was selected/ #of times experiment was done to get the probability (46/53) which will give you 5.11 or 5% (rounded as a whole number)
What math do high schoolers learn? Do they only learn trigonometry, geometry and equations?
Answer:
trigonometry
Step-by-step explanation:
hopes this helps
Answer:
This depends on the level they are at. For example, I am a 7th grader in Algebra 1 Honors, but most students take Algebra 1 in high school. Classes range from Algebra 1 - Calculus in High school.
Step-by-step explanation:
Solve for the value of A
SOMEONE PLEASE HELP ME ILL GIVE YOY BRAINLIST AND POINTS
(6a - 8) + 50 = 90
6a - 8 + 50 = 90
6a + 42 = 90
6a = 90 - 42
6a = 48
a = 48/6
•°• a = 8
Select the correct answer.
Which equation best models the set of data shown in this table?
Х
0
2
4
6
00
8
10
12
14
16
18
11
19
у
27
35
37
40
44
45
48
52
OA. y = 11v– 0.3 + 4.3
OB.y = 1177 + 0.3 – 4.3
O c.
y = 23 + 17
OD. y = 2.3 – 17
Answer: I cannot tell what equations you are talking about.
Step-by-step explanation:
Please type in the equations instead of copying and pasting so we can know what the actual equation is. Thank you.
Answer: B
Step-by-step explanation:
Got it right
what is 4(2x+3) simplified using distributive property
Answer:
8x +12
Step-by-step explanation:
The outside factor is applied to each term inside parentheses:
4(2x +3) = 4(2x) +4(3) = 8x +12
[tex]\huge\boxed{Hi\:there!}[/tex]
To simplify this expression, we should use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's use it:
4(2x+3)
8x+12
That's the answer.
[tex]\huge\boxed{\boxed{\boxed{Hope\:it\:helps!}}}[/tex]
[tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
One day the temperature started at - 8° F and dropped 17° by the end of the day. What was the temperature at the end of the day?
Answer: -8 - 17 = -25
Step-by-step explanation: I HOPE THIS HELPS
Answer:
-25° F
Step-by-step explanation:
We start off at - 8° F
The temperature drops 17 degrees by the end of the day
The temperature is now - 8 - 17 = -25° F
Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
Answer:
23 bracelets
Step-by-step explanation:
I am assuming that we need to find how many bracelets she can make.
Each bracelet uses 4 in of string, so we would have to divide 95 by 4.
95/4 = 23.75
Salena should have enough to make 23 bracelets.
Hope this helps.
The number of bracelets will be equal to 23 bracelets.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
The number of bracelets will be calculated as
Number = 95/4
Divide the number 95 by 4,
Number = 23.75
The required number of bracelets is 23.
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Help please this is due today!!!
please provide a small explanation!!
Answer:
200 sq cm
Step-by-step explanation:
Lateral surface area is the surface area without the bases, or without the top and bottom. So, you just add up the area of the 4 sides.
The front and back are both 10 x 20, so 200 each = 400
The left and right are 5 x 20, so 100 each = 200
The lateral surface area is 200 sq. cm.
Solve three tenths times five sevenths.
fifteen seventieths
twenty seventieths
eight seventeenths
fifteen seventeeths
Answer:
15/70 is the answer
Step-by-step explanation:
3/10 x 5/7
3x5=15 and 10x7=70
As a result, the answer to the question is 15/70
Thank you for reading! It is my hope that you will find it helpful in some way!
Someone plz help ToT
The scale factor is 1.5 because:
9 x 1.5 = 13.5
5 x 1.5 = 7.5
I DONT KNOW AHHHHHH
[tex]0.399 + w = 0.4[/tex]
Answer:
[tex] \sf \: w = 0.001[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of w.
The equation is,
→ 0.399 + w = 0.4
Then the value of w will be,
→ 0.399 + w = 0.4
→ w = 0.4 - 0.399
→ [ w = 0.001 ]
Hence, the answer is 0.001.
Multi step equations that equal 17 with fractions
Answer:
7/1 - 7/1 + 17/1 = 17
Step-by-step explanation:
The solution to the equation (x/6 - 4 + 2/3) = -1/2, using the LCD or clearing method, is x =17 by solving multistep equations that equal 17 with fractions
To solve this equation, use the LCD (Least Common Denominator) method to eliminate the fractions.
The LCD in this case is 6, as it is the smallest number that both 6 and 3 (the denominators of the fractions) can evenly divide.
Step 1: Multiply every term in the equation by 6 to clear the fractions:
[tex]6 \times (x/6 - 4 + 2/3) = 6 \times(-1/2)[/tex]
Simplifying the equation:
[tex]x - 24 + 4 = -3[/tex]
Step 2: Combine like terms on the left side:
[tex]x - 20 = -3[/tex]
Step 3: Isolate the x variable by adding 20 to both sides of the equation:
[tex]x - 20 + 20 = -3 + 20[/tex]
Simplifying further:
x = 17
Therefore, the solution to the equation [tex](x/6 - 4 + 2/3) = -1/2[/tex] is [tex]x = 17[/tex].
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Question: Solve the multistep equations (x/6-4+2/3)=-1/2 that equal 17 with fractions using LCD or Clearing method.