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.
Using a phone card to make a long distance call costs a flat fee of $0.57 plus $0.31 per minute starting with the first
minute. Find the total cost of a phone call which lasts 27 minutes.
O A. $27.18
OB. $15.7
O C. $8.37
OD. $8.94
Answer:
it's d
Step-by-step explanation:
multiply 0.31 by the amount of minutes used (27) and add the flat fee to it.
0.31×27+(0.57)= 8.94
Topic: Determining if given values are solutions to a two variable equation
Answer:
2. a & c
3. a, b & c
Step-by-step explanation:
Substitute each solutions to the question to see if you get the answer
a. 5(2)-0=10 -- so (2,0) is the solution
b. 5(3)-0=15 -- (3,0) is not the solution
c. 5(0)-(-10)=10 -- (0,-10) is the solution
d. 5(1)-(1)=4 -- (1,1) is not the solution
a. -(-4)+ 6(1) = 10 -- so (-4,1) is the solution
b. -(-22)+ 6(-2) = 10 -- so (-22,-2) is the solution
c. -(2)+ 6(2) = 10 -- so (2,2) is the solution
d. -(10)+ 6(0) = - 10 -- so (10,0) is not the solution
After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.
Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?
The value of b that Lois give Clark will be -7
Given the expression 2x + 7 - x = 4x + 2b – 3x - 3b.First, we need to find the value of b from the expression.Rearrange;
2x + 7 - x = 4x + 2b – 3x - 3b.
x + 7 = x + 2b - 3b
2b - 3b = 7
-b = 7
b = -7
Substitute b = -7 into the expression and find the value of x;
2x + 7 - x = 4x + 2(-7) – 3x - 3(-7)
x + 7 = 4x - 3x - 14 + 21
x + 7 = x + 7
Since for every x he picks, the left side is always 3 more than the right side, the equation becomes;
x + 7 = x + 3x + 7
x + 7 = 4x + 7
x - 4x = 0
-3x = 0
x = 0
Hence the value of b that Lois give Clark will be -7
Learn more on equations here: https://brainly.com/question/16450098
Can someone answer this for me 9- 6x -8
Answer:
Combine like terms
Step-by-step explanation:
-6x + 1
what situation can be represented by this equation 15 + x = 63.75
315 the answer
15 + x = 63.75
Answer:
63.75 minus 15 equal to 48.75
Rhian sat at a maths test and an English test
In the Maths test she scored 14 out of 17
In the English test she scored 31 out of 39
In which test did she do better
Answer: She did better in the Math test
Step-by-step explanation:
find the ratios of each by saying 14/17 = 0.82 then multiply by 100 to see it from 100 then you will get 82%
Now do the same thing for the other:
31/39 = 0.79 x 100 = 79%
In the end she got better in the math test!
Hope that helps :)
what are the first 100000000000000000000 digits of pie
Answer:
The first 10 digits of pi (π) are 3.1415926535. The first million digits of pi (π) are below, got a good memory? Then recite as many digits as you can in 30 ...
Step-by-step explanation:
what is the slope of y-3=-2(x+5)
Answer: slope (m) = -2
Step-by-step explanation:
y-3=-2(x+5)
put it into y=mx+b
use PEMDAS-Parantheses, Exponents, Mult. Div. Add. Sub. for your order of operations.
first, parantheses.
-2(x+5)
-2 times x = -2x
-2 times 5 = -10
your new equation is y-3 = -2x-10
now, to get y by itself, cancel out the -3 by adding a positive 3 to both sides.
you final equation will be y=-2x-7
in the form y=mx+b, m is your slope.
therefore, -2 is your answer, or slope.
Consider this problem: 2+3(3)+5(2+3)+2(-5)
a.
How many terms are in the expression?
Answer:
[tex]5[/tex]
....,,,✨✨✨✨✨✨✨
Mario Andretti drives his race car 500 miles in 2.5 hours. What is his speed?
Answer:
His speed was 200.
Step-by-step explanation:
500/2.5 is 200.
Answer:
The speed of Mario Andretti's race car is 200 m/h.
Step-by-step explanation:
Speed = Distance/Time=> Speed = 500 miles/2.5 hours=> Speed = 200 miles/1 hourConclusion:
Therefore, the speed of Mario Andretti's race car is 200 m/h.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Mrs. Palmer's famous peanut butter cookies call for 1 cup of peanut butter for every
1
2
of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answer:
2 cups
Step-by-step explanation:
if she uses 1/2 cup of oil per 1 cup of peanut butter
then she should use the ratio PB(peanut butter)= 2O(oil)
so if oil is 1 then PB must be 2 cups
Evaluate the expression please.
Evaluate the expression.
–
3–
–
10÷
–
2+1
Answer:
-7
Step-by-step explanation:
-3-(-10)/-2+1
-3-5+1
-8+1
-7
Answer:
Step-by-step explanation:
Expert-Verified Answer
1 person found it helpful
author link
jayilych4real
Some useful tips to help you write a five-paragraph essay are:
Choose a topic
Make suitable claims
Make use of supporting details
Make use of rhetorical appeals
Make use of counterclaims and rebuttals
Restate your main points
Conclude.
2. Find the total purchase price. Frank bought a pair of jeans for $55 and some sunglasses
for $249. The tax rate is 7% in the state of Nevada. What is the total cost of Frank's order?
Frank paid a total of $304 ($55+249). You multiply $304 by 0.07 to get $21.28 (To convert a number to a percentage, multiply it by 100. So, 0.07 as a percent is equal to 7%). You add this to $304 to get to your answer: $325.28.
The total would be $325.28 if the sunglasses were $249. Hope it helped!
What is the surface area of the rectangular prism?
2 m
10 m
5 m
Answer:
10m
Step-by-step explanation:
The area of a regular pentagon is 600 cm². Calculate the length of one side of the pentagon.
Answer:
18.675cm
just search it
What does a fraction represent
Craig sells cabinets at a 600% percent markup from the cost of materials. He spent $2000.00 on the materials for cabinets he just built. What will be the price he sells those cabinets for?
Answer:
3781
Step-by-step explanation:
80 hours × $18=$1440 for labor. 1440+15%(1440×.15)=$216.00 + material cost=$2125
(2125.00+1440.00+216=3781)
Please help me solve these problems ASAP
Answer:
imagine having this
Step-by-step explanation:
can't relate
just times by 2 k:)))))))))
need help with this dividing whole numbers thing
Answer:
72 : n = 18. n x 18 = 72
n : 18 = 72. 72 x 18 = n
72 : 18 = n
Step-by-step explanation:
What is the perimeter of triangle ABC with coordinates of A(3,4), B(3,11), C(27,4)
Answer:
Is there supposed to be a picture or no?
Step-by-step explanation:
PART B: Uber was also available for Mike to use to get home from the airport. Uber
does not have an initial fee; it charges $3.45 per mile. Which would be a better deal
the taxi or Uber for Mike's trip home?
Answer:
taxi
Step-by-step explanation:
you would take the taxi because it would cost less than Uber
working together two mathletes solve 32 math problems in a certain amount of time how many problems will 3 mathletes solve if they together at the same rate for the same amount of time
If they together at the same rate for the same amount of time, they will solve 48 math problems,
From the question, we can see that two mathletes solve 32 math problems in a certain amount of time, this can be written as:
2 mathletes = 32 math problemsIn order to determine the number of problems for 3 mathletes, this is expressed as:
3 mathletes = xDIvide both expressions:
2/3 = 32/xCross multiply
2x = 3* 32
x = 3 * 16
x = 48math problems
Hence if they together at the same rate for the same amount of time, they will solve 48 math problems,
Learn more on proportion here: https://brainly.com/question/1496357
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
-10 < x - 9
Reverse the equation to get x on the left side"
x-9>-10
Add 9 to both sides:
X >-1
Answer: x > -1
The table below shows a proportional relationship.
X
-4
-2
0
2
4
у
-14
-7
7
14
What is the constant ratio k, Y ?
2
Answer: I think it is -7 and +7
Divide. Write the answer in simplest form. 14/27÷7=
Answer:
[tex]\frac{2}{27}[/tex]
Step-by-step explanation:
hope this helps! :D
have a MIRACULOUS day!! <3
Answer:
2/27
Step-by-step explanation:
14/27÷7
Convert The element to fraction: 7=7/1
=14/27 ÷ 7/1
Apply the fraction rule:
=14/27 x 1/7
Cross- cancel common factor: 7
2/27
Karla is reading about a type of single-celled microorganism that can live inside the human body. This type of organism can be either harmful or harmless to people, depending on the type. One harmless type lives in the intestines and helps the body digest food. One harmful type can cause strep throat. Which type of organism is Karla most likely reading about?
Please help, I’m having trouble
Answer:
z=13
Step-by-step explanation:
SU 1
------ = ------
WV 2
z 1
----- = ----------
z+13 2
Using cross products
2z = z+13
Subtract z from each side
2z-z = z+13-z
z = 13
What is an expression that represents 5 times the value of Y plus 4
Answer:
5y+4
Step-by-step explanation:
Answer:
2 plus 5 times n
Step-by-step explanation:
The value of √42 Is a rational or an irrational number.
Answer:
irrational
Step-by-step explanation:
Answer:
Irrational.
Step-by-step explanation:
When we simplify √42, we get:
6.48074069841 (Calculator Used)And 6.48074069841 is an irrational number.
Hoped this helped.
[tex]GeniusUser[/tex]
What is mL BCD ?
THANK U <3
m∠BCD= m∠ACB ÷ 2 = 134.76° ÷ 2 = 67.38°
Ok done. Thank to me :>